From 17f51778caabc557a3935f2b365c9162f2e63aaa Mon Sep 17 00:00:00 2001 From: Ananyapam De Date: Tue, 25 Aug 2026 01:16:43 +0200 Subject: [PATCH] gam: add mgcv Gaussian-process smooth parity --- README.md | 2 +- docs/generate_notebooks.py | 4 + docs/notebooks/01_gam.ipynb | 5 + nampy/gam/compiler/factory.py | 21 ++ nampy/gam/compiler/linked_basis.py | 11 + nampy/gam/smooths/__init__.py | 4 + nampy/gam/smooths/categorical/fs.py | 32 +- nampy/gam/smooths/tensor/marginals.py | 19 +- nampy/gam/smooths/tensor/te.py | 6 + nampy/gam/smooths/tensor/ti.py | 6 + nampy/gam/smooths/univariate/__init__.py | 5 +- nampy/gam/smooths/univariate/gp.py | 243 +++++++++++++++ nampy/gam/specs/__init__.py | 2 + nampy/gam/specs/build.py | 4 +- nampy/gam/specs/modeling.py | 4 +- nampy/gam/specs/smooth.py | 10 + nampy/gam/specs/smooth_build.py | 24 +- nampy/gam/splines/univariate/__init__.py | 16 + nampy/gam/splines/univariate/gp.py | 278 +++++++++++++++++ pyproject.toml | 1 + tests/SUBSYSTEM_COVERAGE.md | 4 +- 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insertions(+), 21 deletions(-) create mode 100644 nampy/gam/smooths/univariate/gp.py create mode 100644 nampy/gam/splines/univariate/gp.py create mode 100644 tests/parity/test_mgcv_gp_combinations_parity.py create mode 100644 tests/reference_fixtures/mgcv/03afb257b606dc2aabe12601f681cceaf7f8fa09e91550cfb53fb98f3c4c408c.json.gz create mode 100644 tests/reference_fixtures/mgcv/0da72acd5c05004ca793a5e0d9b653afd1180deb4b49281bf189b3ff384b70d1.json.gz create mode 100644 tests/reference_fixtures/mgcv/22b839f0dfd05d2f290ca76a6632a6e037575b4bbb89216a9201fc04d5159aa1.json.gz create mode 100644 tests/reference_fixtures/mgcv/3f00065b333c6ad95f3ae3cc48d5ef9acde68612eec29933ffb5f6fde03ef0f7.json.gz create mode 100644 tests/reference_fixtures/mgcv/40c55686c1fe6ca835ff7a764c6aa5c3c1abadde3f3e6eb8e643dc57bf27e07c.json.gz create mode 100644 tests/reference_fixtures/mgcv/5b146985163b8faf499298269d13581ccae2e4f7688778fcc74b581985c15309.json.gz create mode 100644 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tests/reference_fixtures/mgcv/e4527392ccbc1d1fda5b3c5768e5892b28d138c5c2c2734474bd811d363ab0bd.json.gz create mode 100644 tests/reference_fixtures/mgcv/e8d1b70c1495f8264328110cc06975e8ad9679894cb1e01a85855bfc5e5d593a.json.gz create mode 100644 tests/reference_fixtures/mgcv/fbb60a2328883171e218e4fc674beb6adb5a71ea557f5e9e71db63dbd39ea724.json.gz diff --git a/README.md b/README.md index e552e36a..26ea9c57 100644 --- a/README.md +++ b/README.md @@ -125,7 +125,7 @@ result, and prediction interfaces. | Formula surface | Supported terms | | ------------------ | ---------------------------------------------------------------------------------------------------- | -| Univariate smooths | `s(..., bs='bs')`, `cr`, `cs`, `cc`, `cp`, `ds`, `ps`, `tp`, `ts` | +| Univariate smooths | `s(..., bs='bs')`, `cr`, `cs`, `cc`, `cp`, `ds`, `gp`, `ps`, `tp`, `ts` | | Structured smooths | random effects `re`, factor smooths `fs`, sum-to-zero factor smooths `sz` | | Tensor products | `te(...)` and `ti(...)` over supported numeric marginals | | Parametric terms | numeric and factor terms, supported interactions, intercept policies, and formula offsets | diff --git a/docs/generate_notebooks.py b/docs/generate_notebooks.py index 9b160c09..ea428518 100644 --- a/docs/generate_notebooks.py +++ b/docs/generate_notebooks.py @@ -1514,6 +1514,7 @@ def gam_notebook() -> dict: | `cr`, `cs` | cubic regression spline; `cs` adds null-space shrinkage | | `cc` | cyclic cubic spline for periodic covariates | | `ps` | P-spline with difference penalties | +| `gp` | low-rank Gaussian-process smooth with spherical, power-exponential, or Matérn covariance | | `tp`, `ts` | thin-plate regression spline; `ts` adds shrinkage | | `te(...)` | scale-invariant tensor product including main-effect directions | | `ti(...)` | tensor interaction with marginal main-effect directions removed | @@ -1535,6 +1536,9 @@ def gam_notebook() -> dict: "shrinkage_cubic": GAM(formula="demand ~ s(temperature, bs='cs', k=10)"), "cyclic": GAM(formula="demand ~ s(hour, bs='cc', k=8)"), "p_spline": GAM(formula="demand ~ s(temperature, bs='ps', k=10)"), + "gaussian_process": GAM( + formula="demand ~ s(temperature, humidity, bs='gp', k=20, m=[3, 1.0])" + ), "thin_plate": GAM(formula="demand ~ s(temperature, bs='tp', k=10)"), "shrinkage_thin_plate": GAM(formula="demand ~ s(temperature, bs='ts', k=10)"), "tensor_surface": GAM( diff --git a/docs/notebooks/01_gam.ipynb b/docs/notebooks/01_gam.ipynb index 1442d1b3..8c93cec3 100644 --- a/docs/notebooks/01_gam.ipynb +++ b/docs/notebooks/01_gam.ipynb @@ -629,6 +629,7 @@ "| `cr`, `cs` | cubic regression spline; `cs` adds null-space shrinkage |\n", "| `cc` | cyclic cubic spline for periodic covariates |\n", "| `ps` | P-spline with difference penalties |\n", + "| `gp` | low-rank Gaussian-process smooth with spherical, power-exponential, or Mat\u00e9rn covariance |\n", "| `tp`, `ts` | thin-plate regression spline; `ts` adds shrinkage |\n", "| `te(...)` | scale-invariant tensor product including main-effect directions |\n", "| `ti(...)` | tensor interaction with marginal main-effect directions removed |\n", @@ -652,6 +653,7 @@ "['cubic',\n", " 'cyclic',\n", " 'factor_smooth',\n", + " 'gaussian_process',\n", " 'p_spline',\n", " 'random_effect',\n", " 'shrinkage_cubic',\n", @@ -675,6 +677,9 @@ " \"shrinkage_cubic\": GAM(formula=\"demand ~ s(temperature, bs='cs', k=10)\"),\n", " \"cyclic\": GAM(formula=\"demand ~ s(hour, bs='cc', k=8)\"),\n", " \"p_spline\": GAM(formula=\"demand ~ s(temperature, bs='ps', k=10)\"),\n", + " \"gaussian_process\": GAM(\n", + " formula=\"demand ~ s(temperature, humidity, bs='gp', k=20, m=[3, 1.0])\"\n", + " ),\n", " \"thin_plate\": GAM(formula=\"demand ~ s(temperature, bs='tp', k=10)\"),\n", " \"shrinkage_thin_plate\": GAM(formula=\"demand ~ s(temperature, bs='ts', k=10)\"),\n", " \"tensor_surface\": GAM(\n", diff --git a/nampy/gam/compiler/factory.py b/nampy/gam/compiler/factory.py index c1739629..8cfa2bfe 100644 --- a/nampy/gam/compiler/factory.py +++ b/nampy/gam/compiler/factory.py @@ -18,6 +18,7 @@ from ..smooths.univariate.bs import DerivativeBSplineTerm1D from ..smooths.univariate.cr import CubicSplineTerm from ..smooths.univariate.ds import DuchonSplineTerm +from ..smooths.univariate.gp import GaussianProcessTerm from ..smooths.univariate.ps import PSplineTerm1D from ..specs import LinearPredictorSpec, PenaltyGroupSpec, TermSpec from ..specs.smooth import ( @@ -27,6 +28,7 @@ DerivativeBSplineSmoothSpec, DuchonSplineSmoothSpec, FactorSmoothInteractionSpec, + GaussianProcessSmoothSpec, PSplineSmoothSpec, RandomEffectSmoothSpec, ShapeConstrainedSmoothSpec, @@ -207,6 +209,25 @@ def instantiate_term(term_like: TermSpec | Any): metadata=metadata, ) + if isinstance(smooth_spec, GaussianProcessSmoothSpec): + return GaussianProcessTerm( + feature=features, + k=smooth_spec.k, + m=smooth_spec.m, + label=label, + term_id=term_like.term_id, + smoothing_id=smoothing_id, + by=by, + sp=smooth_spec.sp, + select=smooth_spec.select, + fixed=smooth_spec.fx, + constraint_mode=smooth_spec.constraint_mode, + pc=smooth_spec.pc, + knots=smooth_spec.knots, + xt=smooth_spec.xt, + metadata=metadata, + ) + if isinstance(smooth_spec, ShapeConstrainedSmoothSpec): if len(features) == 2: return BivariateShapePSplineTerm( diff --git a/nampy/gam/compiler/linked_basis.py b/nampy/gam/compiler/linked_basis.py index d8c930e6..ea9aff0e 100644 --- a/nampy/gam/compiler/linked_basis.py +++ b/nampy/gam/compiler/linked_basis.py @@ -92,6 +92,17 @@ def attach_shared_basis_metadata(predictor_specs, X, feature_names): "different feature sets; mgcv 1.9-4 fails while constructing " "the shared tensor basis." ) + has_scalar_pc = any( + term.smooth_spec is not None + and str(term.smooth_spec.special).lower() == "s" + and getattr(term.smooth_spec, "pc", None) is not None + for term in group_terms + ) + if has_scalar_pc and len(feature_tuples) > 1: + raise NotImplementedError( + "pc= is not supported across id-linked s() terms with different " + "feature sets; mgcv 1.9-4 fails while constructing the shared basis." + ) for term in group_terms[1:]: _clone_linked_smooth_spec(base_term, term) diff --git a/nampy/gam/smooths/__init__.py b/nampy/gam/smooths/__init__.py index 44c5b6e4..07ab6dae 100644 --- a/nampy/gam/smooths/__init__.py +++ b/nampy/gam/smooths/__init__.py @@ -22,6 +22,7 @@ from .univariate.bs import DerivativeBSplineTerm1D from .univariate.cr import CubicSplineTerm from .univariate.ds import DuchonSplineTerm +from .univariate.gp import GaussianProcessTerm from .univariate.ps import PSplineTerm1D from .univariate.tp import ThinPlateSplineTerm @@ -33,6 +34,7 @@ bs = DerivativeBSplineTerm1D cr = cs = cc = CubicSplineTerm ds = DuchonSplineTerm +gp = GaussianProcessTerm cp = ps = PSplineTerm1D tp = ts = ThinPlateSplineTerm fs = FSmoothInteractionTerm @@ -60,6 +62,7 @@ "build_penalty_definition", "CubicSplineTerm", "DuchonSplineTerm", + "GaussianProcessTerm", "DerivativeBSplineTerm1D", "PSplineTerm1D", "ThinPlateSplineTerm", @@ -76,6 +79,7 @@ "cs", "cc", "ds", + "gp", "cp", "ps", "tp", diff --git a/nampy/gam/smooths/categorical/fs.py b/nampy/gam/smooths/categorical/fs.py index f674866d..484dcb63 100644 --- a/nampy/gam/smooths/categorical/fs.py +++ b/nampy/gam/smooths/categorical/fs.py @@ -18,6 +18,7 @@ from ..univariate.bs import DerivativeBSplineTerm1D from ..univariate.cr import CubicSplineTerm from ..univariate.ds import DuchonSplineTerm +from ..univariate.gp import GaussianProcessTerm from ..univariate.ps import PSplineTerm1D from .categorical_utils import ( as_object_1d, @@ -109,7 +110,7 @@ def _build_base_smooth_term( Build the per-level base smooth used inside fs/sz. Supported base smooth classes in the current codebase: - bs, cr, cs, cc, cp, ds, ps, tp, ts + bs, cr, cs, cc, cp, ds, gp, ps, tp, ts """ base_bs = str(base_bs).lower() metric_features = list(metric_features) @@ -120,22 +121,23 @@ def _build_base_smooth_term( if mode == "fs" and base_bs in {"cs", "ts"}: raise NotImplementedError(_fs_full_rank_base_error(base_bs)) - if len(metric_features) > 1 and base_bs not in {"ds", "tp", "ts"}: + if len(metric_features) > 1 and base_bs not in {"ds", "gp", "tp", "ts"}: raise NotImplementedError( f"Current {mode} implementation supports multivariate base smooths only " - f"for bs in {{'ds','tp','ts'}}, got base bs={base_bs!r}." + f"for bs in {{'ds','gp','tp','ts'}}, got base bs={base_bs!r}." ) if xt_rest is not None and base_bs not in { "bs", "cp", "ds", + "gp", "ps", "tp", "ts", }: raise NotImplementedError( - "Extra xt options are currently only supported for bs/cp/ds/ps/tp/ts " + "Extra xt options are currently only supported for bs/cp/ds/gp/ps/tp/ts " "base smooths, " f"got xt={xt_rest!r} with base bs={base_bs!r}." ) @@ -220,6 +222,24 @@ def _build_base_smooth_term( metadata=metadata, ) + if base_bs == "gp": + return GaussianProcessTerm( + feature=metric_features, + k=k, + m=outer_m, + label=label, + smoothing_id=None, + by=by, + sp=None, + select=bool(select), + fixed=bool(fixed), + constraint_mode=str(constraint_mode), + pc=None, + knots=knots, + xt=xt_rest, + metadata=metadata, + ) + if base_bs in {"tp", "ts"}: return make_smooth_term( base_bs, @@ -242,7 +262,7 @@ def _build_base_smooth_term( raise NotImplementedError( f"Current {mode} implementation supports base bs in " - f"{{'bs','cr','cs','cc','cp','ds','ps','tp','ts'}}, got {base_bs!r}." + f"{{'bs','cr','cs','cc','cp','ds','gp','ps','tp','ts'}}, got {base_bs!r}." ) @@ -251,6 +271,8 @@ def _penalty_rank_from_base_term(base_term, basis_matrix, penalty_matrix) -> int return int(base_term._setup.ranks[0]) if isinstance(base_term, DuchonSplineTerm): return int(base_term._setup.rank) + if isinstance(base_term, GaussianProcessTerm): + return int(base_term._setup.rank) if isinstance(base_term, PSplineTerm1D) and len(base_term.penalties) > 0: if str(base_term.basis_name).lower() == "cp": return int(base_term._setup.rank) diff --git a/nampy/gam/smooths/tensor/marginals.py b/nampy/gam/smooths/tensor/marginals.py index a25906f5..afdf833d 100644 --- a/nampy/gam/smooths/tensor/marginals.py +++ b/nampy/gam/smooths/tensor/marginals.py @@ -10,11 +10,12 @@ from ..univariate.bs import DerivativeBSplineTerm1D from ..univariate.cr import CubicSplineTerm from ..univariate.ds import DuchonSplineTerm +from ..univariate.gp import GaussianProcessTerm from ..univariate.ps import PSplineTerm1D from ..univariate.tp import ThinPlateSplineTerm TENSOR_MARGINAL_BASES = frozenset( - {"bs", "cr", "cs", "cc", "cp", "ds", "ps", "tp", "ts"} + {"bs", "cr", "cs", "cc", "cp", "ds", "gp", "ps", "tp", "ts"} ) @@ -130,6 +131,22 @@ def make_tensor_marginal_term( metadata=metadata, ) + if basis == "gp": + return GaussianProcessTerm( + feature=marginal_features, + k=k, + m=m, + xt=xt, + label=str(feature), + smoothing_id=None, + by=None, + select=False, + fixed=False, + constraint_mode=constraint_mode, + knots=knots, + metadata=metadata, + ) + if basis in {"tp", "ts"}: return ThinPlateSplineTerm( feature=marginal_features, diff --git a/nampy/gam/smooths/tensor/te.py b/nampy/gam/smooths/tensor/te.py index 3562ee0d..146dbc56 100644 --- a/nampy/gam/smooths/tensor/te.py +++ b/nampy/gam/smooths/tensor/te.py @@ -114,6 +114,12 @@ def __init__( self._by_state = None + @property + def expected_linked_penalty_count(self): + if self.select: + return None + return int(np.sum(~np.asarray(self.fixed_flags, dtype=bool))) + def fit(self, X, feature_names): marginal_shared_setups = self._linked_id_marginal_setups(self.feature) marginals, _, _ = build_tensor_marginal_terms( diff --git a/nampy/gam/smooths/tensor/ti.py b/nampy/gam/smooths/tensor/ti.py index aca048d9..51877be7 100644 --- a/nampy/gam/smooths/tensor/ti.py +++ b/nampy/gam/smooths/tensor/ti.py @@ -117,6 +117,12 @@ def __init__( self._by_state = None + @property + def expected_linked_penalty_count(self): + if self.select: + return None + return int(np.sum(~np.asarray(self.fixed_flags, dtype=bool))) + def fit(self, X, feature_names): self._set_by_state(X, feature_names) diff --git a/nampy/gam/smooths/univariate/__init__.py b/nampy/gam/smooths/univariate/__init__.py index 87b0c1c7..290e0a69 100644 --- a/nampy/gam/smooths/univariate/__init__.py +++ b/nampy/gam/smooths/univariate/__init__.py @@ -1,12 +1,14 @@ from .bs import DerivativeBSplineTerm1D from .cr import CubicSplineTerm from .ds import DuchonSplineTerm +from .gp import GaussianProcessTerm from .ps import PSplineTerm1D from .tp import ThinPlateSplineTerm bs = DerivativeBSplineTerm1D cr = cs = cc = CubicSplineTerm ds = DuchonSplineTerm +gp = GaussianProcessTerm cp = ps = PSplineTerm1D tp = ts = ThinPlateSplineTerm @@ -14,7 +16,8 @@ "DerivativeBSplineTerm1D", "CubicSplineTerm", "DuchonSplineTerm", + "GaussianProcessTerm", "PSplineTerm1D", "ThinPlateSplineTerm", ] -__all__ += ["bs", "cr", "cs", "cc", "cp", "ds", "ps", "tp", "ts"] +__all__ += ["bs", "cr", "cs", "cc", "cp", "ds", "gp", "ps", "tp", "ts"] diff --git a/nampy/gam/smooths/univariate/gp.py b/nampy/gam/smooths/univariate/gp.py new file mode 100644 index 00000000..458ca809 --- /dev/null +++ b/nampy/gam/smooths/univariate/gp.py @@ -0,0 +1,243 @@ +"""Gaussian-process smooth term (``bs='gp'``).""" + +from __future__ import annotations + +import numpy as np + +from ...constraints.absorption import ( + fit_single_penalty_with_constraint_policy, + fit_single_penalty_with_setup_basis, +) +from ...penalties.algebra import penalty_rescale_factor, scale_penalty +from ...splines.univariate.gp import ( + build_gaussian_process_setup, + predict_gaussian_process, +) +from ..registry import register_smooth +from ..smooth_base import BaseSmoothTerm, _resolve_feature, columns_as_float_matrix + + +@register_smooth("gp") +class GaussianProcessTerm(BaseSmoothTerm): + term_type = "smooth" + basis_name = "gp" + supports_tensor_marginal = False + + def __init__( + self, + feature, + k=-1, + m=None, + label=None, + term_id=None, + smoothing_id=None, + by=None, + sp=None, + select=False, + fixed=False, + constraint_mode="auto", + pc=None, + knots=None, + xt=None, + null_penalty_tol=1e-10, + metadata=None, + ): + features = list(feature) if not isinstance(feature, (str, int)) else [feature] + super().__init__( + feature=features, + label=label or f"s({', '.join(map(str, features))})", + term_id=term_id, + smoothing_id=smoothing_id, + by=by, + sp=sp, + metadata=metadata, + ) + self.k = int(k) + self.m = m + self.select = bool(select) + self.fixed = bool(fixed) + self.constraint_mode = str(constraint_mode).lower() + self.pc = pc + self.knots = knots + self.xt = xt + self.null_penalty_tol = float(null_penalty_tol) + + if self.constraint_mode not in {"auto", "factor_by", "always", "never"}: + raise ValueError( + "constraint_mode must be one of " + "{'auto', 'factor_by', 'always', 'never'}." + ) + + self._feature_indices = None + self._feature_names = None + self._by_state = None + self._basis_train = None + self._penalties = None + self._setup = None + + @property + def expected_linked_penalty_count(self): + return None if self.select else 1 + + def fit(self, X, feature_names): + feature_indices = [] + resolved_names = [] + for feature in self.feature: + index, name = _resolve_feature(feature, feature_names) + feature_indices.append(index) + resolved_names.append(name) + + values = columns_as_float_matrix(X, feature_indices) + self._set_by_state(X, feature_names) + self._feature_indices = feature_indices + self._feature_names = resolved_names + self._set_resolved_features(resolved_names) + + shared_X = self._linked_id_setup_matrix(feature_names) + if shared_X is not None: + setup_values = columns_as_float_matrix(shared_X, feature_indices) + else: + setup_values = values + self._setup = build_gaussian_process_setup( + setup_values, + k=self.k, + m=self.m, + knots=self.knots, + xt=self.xt, + ) + setup_base = np.asarray(self._setup.basis_train, dtype=np.float64) + base = ( + setup_base + if shared_X is None + else np.asarray( + predict_gaussian_process(values, self._setup), dtype=np.float64 + ) + ) + raw_penalty = np.asarray(self._setup.penalty, dtype=np.float64) + penalty = scale_penalty(setup_base, raw_penalty) + self._set_penalty_rescale_factors( + [penalty_rescale_factor(setup_base, raw_penalty)] + ) + + if self.pc is not None: + constrained_basis, constrained_penalties, transform, _ = ( + self._apply_point_constraint( + base, + [penalty], + self.pc, + feature_names=self._feature_names, + point_basis_fn=lambda points: predict_gaussian_process( + points, self._setup + )[0], + fixed=self.fixed, + ) + ) + self._basis_train = np.asarray(constrained_basis, dtype=np.float64) + self._penalties = constrained_penalties + self._record_constraint_result("pc", transform, absorbed_by="runtime") + return self + + auto_constrain = bool(self._by_state.is_constant) + if shared_X is None: + result = fit_single_penalty_with_constraint_policy( + base, + penalty, + self._by_state, + constraint_mode=self.constraint_mode, + fixed=self.fixed, + auto_constrain_when=auto_constrain, + ) + else: + result = fit_single_penalty_with_setup_basis( + base, + setup_base, + penalty, + self._by_state, + constraint_mode=self.constraint_mode, + fixed=self.fixed, + auto_constrain_when=auto_constrain, + ) + self._basis_train = result.basis_train + self._penalties = result.penalties + self._record_constraint_result( + result.constraint_kind, + result.constraint_transform, + absorbed_by=( + "runtime" if result.constraint_transform is not None else None + ), + ) + return self + + def get_penalty_definitions(self): + self._require_fitted() + if not self.penalties: + return [] + metadata = { + "term_type": self.term_type, + "basis_name": self.basis_name, + "feature": list(self.feature), + "label": self.label, + "by": self.by, + "by_name": self._by_state.feature_name, + "by_is_constant": bool(self._by_state.is_constant), + "constraint_mode": self.constraint_mode, + "constraint_kind": self.constraint_kind, + "pc": self.pc, + "knots": self.knots, + "xt": self.xt, + "m": self.m, + "gp_definition": np.asarray(self._setup.definition).tolist(), + "original_null_space_dim": self._setup.null_space_dim, + "fixed": bool(self.fixed), + } + selection_metadata = {**metadata, "is_selection_penalty": True} + metadata = self._penalty_metadata_with_scale(metadata, penalty_index=0) + return self._build_penalty_block( + self.penalties[0], + rank=int(self._setup.rank), + smooth_metadata=metadata, + selection_metadata=selection_metadata, + ) + + def transform_new(self, X_new): + self._require_fitted() + values = columns_as_float_matrix(X_new, self._feature_indices) + basis = predict_gaussian_process(values, self._setup) + return self._apply_constraint_transform_and_by(basis, X_new) + + def tensor_marginal_fit_matrices( + self, *, centered=False, apply_np=False, x_train=None + ): + del apply_np, x_train + self._require_fitted() + setup_base = np.asarray(self._setup.basis_train, dtype=np.float64) + setup_penalty = np.asarray(self._setup.penalty, dtype=np.float64) + if centered: + if ( + self._linked_id_setup() is not None + and self.constraint_transform is not None + ): + transform = np.asarray(self.constraint_transform, dtype=np.float64) + scaled = scale_penalty(setup_base, setup_penalty) + return ( + np.asarray(setup_base @ transform, dtype=np.float64), + np.asarray(transform.T @ scaled @ transform, dtype=np.float64), + None, + ) + return super().tensor_marginal_fit_matrices(centered=True) + return setup_base, setup_penalty, None + + def tensor_marginal_predict_matrix( + self, X_new, *, centered=False, np_transform=None + ): + if centered: + basis = np.asarray(self.transform_new(X_new), dtype=np.float64) + else: + values = columns_as_float_matrix(X_new, self._feature_indices) + basis = predict_gaussian_process(values, self._setup) + if np_transform is not None: + basis = basis @ np.asarray(np_transform, dtype=np.float64) + return np.asarray(basis, dtype=np.float64) + + +__all__ = ["GaussianProcessTerm"] diff --git a/nampy/gam/specs/__init__.py b/nampy/gam/specs/__init__.py index 38c68879..b8d9d702 100644 --- a/nampy/gam/specs/__init__.py +++ b/nampy/gam/specs/__init__.py @@ -11,6 +11,7 @@ DerivativeBSplineSmoothSpec, DuchonSplineSmoothSpec, FactorSmoothInteractionSpec, + GaussianProcessSmoothSpec, PSplineSmoothSpec, RandomEffectSmoothSpec, ShapeConstrainedSmoothSpec, @@ -34,6 +35,7 @@ "DerivativeBSplineSmoothSpec", "DuchonSplineSmoothSpec", "FactorSmoothInteractionSpec", + "GaussianProcessSmoothSpec", "PSplineSmoothSpec", "RandomEffectSmoothSpec", "ShapeConstrainedSmoothSpec", diff --git a/nampy/gam/specs/build.py b/nampy/gam/specs/build.py index c73b1958..a93add5c 100644 --- a/nampy/gam/specs/build.py +++ b/nampy/gam/specs/build.py @@ -477,8 +477,8 @@ def _fs_by_without_factor_feature_base_spec(smooth_spec: FactorSmoothInteraction if base_bs == "ps": kwargs["m"] = None if xt_rest is None else xt_rest.get("m", None) - elif base_bs in {"ds", "tp", "ts"}: - if base_bs == "ds": + elif base_bs in {"ds", "gp", "tp", "ts"}: + if base_bs in {"ds", "gp"}: kwargs["m"] = smooth_spec.m kwargs["xt"] = xt_rest elif xt_rest: diff --git a/nampy/gam/specs/modeling.py b/nampy/gam/specs/modeling.py index b881fd27..371ded20 100644 --- a/nampy/gam/specs/modeling.py +++ b/nampy/gam/specs/modeling.py @@ -42,7 +42,7 @@ def make_predictor_specs(model, feature_names, *, knots=None): metadata={}, ) ) - elif basis in {"bs", "ds", "ps", "cp"}: + elif basis in {"bs", "ds", "gp", "ps", "cp"}: main_terms.append( TermSpec( kind="smooth", @@ -105,7 +105,7 @@ def make_predictor_specs(model, feature_names, *, knots=None): else: raise NotImplementedError( "Automatic main-effect construction currently supports " - "{'bs','cr','cs','cc','cp','ds','ps','tp','ts','re'}, " + "{'bs','cr','cs','cc','cp','ds','gp','ps','tp','ts','re'}, " f"got {model.basis!r}." ) diff --git a/nampy/gam/specs/smooth.py b/nampy/gam/specs/smooth.py index 6590e60d..a8164142 100644 --- a/nampy/gam/specs/smooth.py +++ b/nampy/gam/specs/smooth.py @@ -67,6 +67,15 @@ class DuchonSplineSmoothSpec(BaseSmoothSpec): pc: Any = None +@dataclass(frozen=True) +class GaussianProcessSmoothSpec(BaseSmoothSpec): + bs: str = "gp" + m: Any = None + xt: Any = None + constraint_mode: str = "auto" + pc: Any = None + + @dataclass(frozen=True) class ShapeConstrainedSmoothSpec(BaseSmoothSpec): """SCAM SCOP-spline specification for a named shape basis code.""" @@ -142,6 +151,7 @@ class TensorInteractionSmoothSpec(BaseSmoothSpec): CyclicCubicRegressionSmoothSpec, DerivativeBSplineSmoothSpec, DuchonSplineSmoothSpec, + GaussianProcessSmoothSpec, CubicShrinkageSmoothSpec, PSplineSmoothSpec, ShapeConstrainedSmoothSpec, diff --git a/nampy/gam/specs/smooth_build.py b/nampy/gam/specs/smooth_build.py index ef1da39e..40420e35 100644 --- a/nampy/gam/specs/smooth_build.py +++ b/nampy/gam/specs/smooth_build.py @@ -15,6 +15,7 @@ DerivativeBSplineSmoothSpec, DuchonSplineSmoothSpec, FactorSmoothInteractionSpec, + GaussianProcessSmoothSpec, PSplineSmoothSpec, RandomEffectSmoothSpec, ShapeConstrainedSmoothSpec, @@ -129,6 +130,21 @@ def _build_s_ds(opts) -> DuchonSplineSmoothSpec: ) +def _build_s_gp(opts) -> GaussianProcessSmoothSpec: + return GaussianProcessSmoothSpec( + special="s", + k=opts["k"], + fx=opts["fx"], + select=opts["select"], + sp=opts["sp"], + knots=opts["knots"], + m=opts["m"], + xt=opts["xt"], + constraint_mode=opts["constraint_mode"], + pc=opts["pc"], + ) + + def _build_s_shape(opts) -> ShapeConstrainedSmoothSpec: return ShapeConstrainedSmoothSpec( special="s", @@ -219,6 +235,7 @@ def _build_s_sz(opts) -> SumToZeroFactorSmoothSpec: "cp": _build_s_ps, "bs": _build_s_bs, "ds": _build_s_ds, + "gp": _build_s_gp, "tp": _build_s_tp, "ts": _build_s_ts, "re": _build_s_re, @@ -318,6 +335,7 @@ def _is_vector_fx(fx) -> bool: "cr", "cs", "ds", + "gp", "ps", "tp", "ts", @@ -337,7 +355,7 @@ def _dispatch_smooth_spec_from_options(opts) -> SmoothSpec: raise NotImplementedError( f"pc= is not supported for s(..., bs={merged['bs']!r}); " "point constraints are only supported for bs in " - "{'bs', 'cc', 'cp', 'cr', 'cs', 'ds', 'ps', 'tp', 'ts'}." + "{'bs', 'cc', 'cp', 'cr', 'cs', 'ds', 'gp', 'ps', 'tp', 'ts'}." ) return builder(merged) if has_pc and special_key not in {"te", "ti"}: @@ -535,10 +553,10 @@ def _default_k_for_smooth(kind, basis, features, default_k): # mgcv::te()/ti() default k to 5^d per marginal. The current # Python tensor surface supports one feature per marginal, so d = 1. return [5] * len(features) - if str(basis).lower() in {"bs", "ds", "tp", "ts"}: + if str(basis).lower() in {"bs", "ds", "gp", "tp", "ts"}: # mgcv/R/smooth.r::s() leaves k = -1. The basis constructor then # resolves its dimension-dependent default (TP/TS use M + 8/27/100; - # DS uses M + 10/30/100). A flat default here would be wrong in more + # DS uses M + 10/30/100; GP uses d + 1 + 10/30/100). A flat default here would be wrong in more # than one dimension. return -1 return _default_k_for_basis(basis, default_k) diff --git a/nampy/gam/splines/univariate/__init__.py b/nampy/gam/splines/univariate/__init__.py index 1ab6b528..650f5474 100644 --- a/nampy/gam/splines/univariate/__init__.py +++ b/nampy/gam/splines/univariate/__init__.py @@ -26,6 +26,15 @@ normalize_duchon_orders, predict_duchon_spline, ) +from .gp import ( + GaussianProcessSetup, + build_gaussian_process_setup, + default_gp_k, + gp_kernel, + gp_polynomial_basis, + normalize_gp_definition, + predict_gaussian_process, +) from .ps import ( PSplineBasisSetup, bspline_design_matrix, @@ -58,6 +67,13 @@ "duchon_polynomial_basis", "normalize_duchon_orders", "predict_duchon_spline", + "GaussianProcessSetup", + "build_gaussian_process_setup", + "default_gp_k", + "gp_kernel", + "gp_polynomial_basis", + "normalize_gp_definition", + "predict_gaussian_process", "add_full_rank_shrinkage", "bspline_design_matrix", "cyclic_cubic_bd", diff --git a/nampy/gam/splines/univariate/gp.py b/nampy/gam/splines/univariate/gp.py new file mode 100644 index 00000000..428e3bd0 --- /dev/null +++ b/nampy/gam/splines/univariate/gp.py @@ -0,0 +1,278 @@ +"""Low-rank Gaussian-process smooth construction matching mgcv ``bs='gp'``.""" + +from __future__ import annotations + +import warnings +from dataclasses import dataclass + +import numpy as np + +from .ds import ( + _duchon_setup_locations, + _duchon_unique_rows, + _normalize_duchon_knots, +) +from .tp import _top_eigensystem + + +def normalize_gp_definition(m) -> tuple[np.ndarray, bool]: + """Normalize mgcv's ``m=(signed type, range, power)`` definition.""" + if m is None: + values = [] + elif np.isscalar(m): + values = [m] + else: + values = list(np.asarray(m, dtype=object).ravel()) + + missing = not values + if len(values) == 1: + try: + missing = bool(np.isnan(float(values[0]))) + except (TypeError, ValueError): + missing = False + + if missing: + signed_type = 3.0 + stationary = False + else: + try: + first = float(values[0]) + if not np.isfinite(first): + raise ValueError + gp_type = abs(int(np.rint(first))) + except (TypeError, ValueError, OverflowError) as exc: + raise ValueError("incorrect arguments to GP smoother") from exc + signed_type = float(np.sign(first) * gp_type) + stationary = bool(first < 0.0) + + try: + rho = float(values[1]) if len(values) > 1 else -1.0 + power = float(values[2]) if len(values) > 2 else 1.0 + except (TypeError, ValueError) as exc: + raise ValueError("incorrect arguments to GP smoother") from exc + return np.asarray([signed_type, rho, power], dtype=np.float64), stationary + + +def gp_polynomial_basis(x, definition): + """Port ``gpT``: constant tail for stationary GP, linear tail otherwise.""" + values = np.asarray(x, dtype=np.float64) + if values.ndim == 1: + values = values.reshape(-1, 1) + definition = np.asarray(definition, dtype=np.float64).ravel() + constant = np.ones(values.shape[0], dtype=np.float64) + if definition[0] < 0.0: + return constant.reshape(-1, 1) + return np.asarray(np.column_stack([constant, values]), dtype=np.float64) + + +def gp_kernel(x, knots, definition=None): + """Port ``gpE`` and return both the covariance and resolved definition.""" + values = np.asarray(x, dtype=np.float64) + setup_knots = np.asarray(knots, dtype=np.float64) + if values.ndim == 1: + values = values.reshape(-1, 1) + if setup_knots.ndim == 1: + setup_knots = setup_knots.reshape(-1, 1) + if values.shape[1] != setup_knots.shape[1]: + raise ValueError("GP data and knots must have the same dimension.") + + differences = values[:, None, :] - setup_knots[None, :, :] + distances = np.sqrt(np.sum(differences * differences, axis=2)) + normalized, _ = normalize_gp_definition(definition) + signed_type, rho, power = map(float, normalized) + gp_type = abs(int(np.rint(signed_type))) + if np.isnan(rho) or np.isnan(power): + raise ValueError("missing value where TRUE/FALSE needed") + if rho <= 0.0: + rho = float(np.max(distances)) + with np.errstate(divide="ignore", invalid="ignore", over="ignore"): + scaled = distances / rho + + if gp_type not in {1, 2, 3, 4, 5} or power > 2.0 or power <= 0.0: + raise ValueError("incorrect arguments to GP smoother") + + if gp_type == 1: + covariance = (1.0 - 1.5 * scaled + 0.5 * scaled**3) * (scaled <= 1.0) + elif gp_type == 2: + covariance = np.exp(-(scaled**power)) + else: + exponential = np.exp(-scaled) + if gp_type == 3: + covariance = (1.0 + scaled) * exponential + elif gp_type == 4: + covariance = exponential + (scaled * exponential) * ( + 1.0 + scaled / 3.0 + ) + else: + covariance = exponential + (scaled * exponential) * ( + 1.0 + 0.4 * scaled + scaled**2 / 15.0 + ) + + resolved = np.asarray([signed_type, rho, power], dtype=np.float64) + return np.asarray(covariance, dtype=np.float64), resolved + + +def default_gp_k(dimension: int) -> int: + """Return the literal mgcv default ``d + 1 + c(10,30,100)[d]``.""" + dimension = int(dimension) + if dimension < 1: + raise ValueError("Gaussian-process smooths require at least one covariate.") + if dimension > 3: + raise ValueError( + "An omitted k for bs='gp' is undefined upstream above three dimensions; " + "supply k explicitly." + ) + return dimension + 1 + (10, 30, 100)[dimension - 1] + + +def _parse_gp_xt(xt): + max_knots = 2000 + seed = 1 + if xt is None: + return max_knots, seed + if not isinstance(xt, dict): + raise NotImplementedError( + "For bs='gp', xt must be None or a dict with optional keys " + "{'max.knots', 'seed'}." + ) + if xt.get("max.knots") is not None: + max_knots = int(xt["max.knots"]) + if xt.get("seed") is not None: + seed = int(xt["seed"]) + if max_knots < 1: + raise ValueError("For bs='gp', xt['max.knots'] must be positive.") + return max_knots, seed + + +@dataclass +class GaussianProcessSetup: + shift: np.ndarray + knots: np.ndarray + UZ: np.ndarray + definition: np.ndarray + null_space_dim: int + rank: int + bs_dim: int + basis_train: np.ndarray + penalty: np.ndarray + used_supplied_knots: bool + used_subsampling: bool + + +def build_gaussian_process_setup(X, *, k=-1, m=None, knots=None, xt=None): + """Port ``smooth.construct.gp.smooth.spec`` and retain prediction state.""" + values = np.asarray(X, dtype=np.float64) + if values.ndim == 1: + values = values.reshape(-1, 1) + if values.ndim != 2 or values.shape[1] < 1: + raise ValueError("GP smooth data must be a non-empty numeric matrix.") + + n_obs, dimension = values.shape + raw_definition, stationary = normalize_gp_definition(m) + requested_k = int(k) + + unique = _duchon_unique_rows(values) + if requested_k >= 0 and unique.shape[0] < requested_k: + raise ValueError( + "A term has fewer unique covariate combinations than specified " + "maximum degrees of freedom" + ) + + supplied = _normalize_duchon_knots(knots, dimension) + if supplied is not None and supplied.shape[0] == 0: + supplied = None + if supplied is not None and supplied.shape[0] > n_obs: + warnings.warn( + "more knots than data in an ms term: knots ignored.", + stacklevel=2, + ) + supplied = None + + shift = np.mean(values, axis=0) + if supplied is not None: + supplied = supplied - shift[None, :] + max_knots, seed = _parse_gp_xt(xt) + setup_knots, used_subsampling = _duchon_setup_locations( + values, + shift, + supplied, + max_knots=max_knots, + seed=seed, + ) + + covariance, definition = gp_kernel(setup_knots, setup_knots, raw_definition) + bs_dim = requested_k if requested_k >= 0 else default_gp_k(dimension) + if bs_dim < dimension + 2: + bs_dim = dimension + 2 + warnings.warn("basis dimension reset to minimum possible", stacklevel=2) + + null_space_dim = 1 if stationary else dimension + 1 + rank = int(bs_dim - null_space_dim) + n_knots = int(setup_knots.shape[0]) + if n_knots < rank: + raise ValueError( + "Gaussian-process smooth requires at least as many knot locations as " + "penalized basis coefficients." + ) + + penalty = np.zeros((bs_dim, bs_dim), dtype=np.float64) + if rank < n_knots: + eigenvalues, eigenvectors = _top_eigensystem( + covariance, + rank, + tolerance_exponent=0.5, + ) + penalty[:rank, :rank] = np.diag(eigenvalues) + else: + eigenvectors = np.eye(rank, dtype=np.float64) + penalty[:rank, :rank] = covariance + + setup = GaussianProcessSetup( + shift=np.asarray(shift, dtype=np.float64), + knots=np.asarray(setup_knots, dtype=np.float64), + UZ=np.asarray(eigenvectors, dtype=np.float64), + definition=np.asarray(definition, dtype=np.float64), + null_space_dim=int(null_space_dim), + rank=int(rank), + bs_dim=int(bs_dim), + basis_train=np.zeros((n_obs, bs_dim), dtype=np.float64), + penalty=np.asarray(penalty, dtype=np.float64), + used_supplied_knots=bool(supplied is not None), + used_subsampling=bool(used_subsampling), + ) + setup.basis_train = predict_gaussian_process(values, setup) + return setup + + +def predict_gaussian_process(X_new, setup: GaussianProcessSetup): + """Port ``Predict.matrix.gp.smooth`` including its knot-sized chunks.""" + values = np.asarray(X_new, dtype=np.float64) + if values.ndim == 1: + values = values.reshape(-1, 1) + shifted = values - setup.shift[None, :] + n_obs = int(shifted.shape[0]) + n_knots = int(setup.knots.shape[0]) + + def _block(block): + covariance, _ = gp_kernel(block, setup.knots, setup.definition) + tail = gp_polynomial_basis(block, setup.definition) + return np.asarray(np.column_stack([covariance @ setup.UZ, tail])) + + if n_obs <= n_knots: + return np.asarray(_block(shifted), dtype=np.float64) + out = np.empty((n_obs, setup.bs_dim), dtype=np.float64) + for start in range(0, n_obs, n_knots): + stop = min(start + n_knots, n_obs) + out[start:stop, :] = _block(shifted[start:stop, :]) + return out + + +__all__ = [ + "GaussianProcessSetup", + "build_gaussian_process_setup", + "default_gp_k", + "gp_kernel", + "gp_polynomial_basis", + "normalize_gp_definition", + "predict_gaussian_process", +] diff --git a/pyproject.toml b/pyproject.toml index de0443e1..67e09538 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -208,6 +208,7 @@ markers = [ "smooth_bs: tests covering integrated-derivative B-spline smooths", "smooth_cp: tests covering cyclic P-spline smooths", "smooth_ds: tests covering Duchon regression spline smooths", + "smooth_gp: tests covering Gaussian-process smooths", "smooth_ps: tests covering P-spline smooths", "smooth_tp: tests covering thin plate smooths", "smooth_ts: tests covering shrinkage thin plate smooths", diff --git a/tests/SUBSYSTEM_COVERAGE.md b/tests/SUBSYSTEM_COVERAGE.md index d5f3c782..6232deb2 100644 --- a/tests/SUBSYSTEM_COVERAGE.md +++ b/tests/SUBSYSTEM_COVERAGE.md @@ -15,7 +15,7 @@ local development notes rather than duplicated here. | Subsystem | Primary owner(s) | Primary tests | Notes | | --- | --- | --- | --- | | Formula/spec parsing | `nampy/gam/formula/`, `nampy/gam/specs/` | `tests/parity/test_mgcv_formula_parse_parity.py` | Direct formula parity vs `mgcv`. | -| Smooth constructors / raw basis owners | `nampy/gam/smooths/`, `nampy/gam/splines/` | `tests/smooths/test_mgcv_raw_constructor_parity.py`, `tests/smooths/test_mgcv_smoothcon_parity.py`, `tests/parity/test_gam_spec_build_owner_contracts.py`, `tests/parity/test_mgcv_cp_combinations_parity.py`, `tests/parity/test_mgcv_bs_combinations_parity.py`, `tests/parity/test_mgcv_ds_combinations_parity.py` | Basis, penalty, constructor, and smoothCon surfaces, including cyclic P-splines (`cp`), integrated-derivative B-splines (`bs`), and multivariate Duchon splines (`ds`) across prediction, selection, linked bases, tensor/factor-smooth combinations, and the upstream tensor-`m` wrong-length warning and zero fallback. | +| Smooth constructors / raw basis owners | `nampy/gam/smooths/`, `nampy/gam/splines/` | `tests/smooths/test_mgcv_raw_constructor_parity.py`, `tests/smooths/test_mgcv_smoothcon_parity.py`, `tests/parity/test_gam_spec_build_owner_contracts.py`, `tests/parity/test_mgcv_cp_combinations_parity.py`, `tests/parity/test_mgcv_bs_combinations_parity.py`, `tests/parity/test_mgcv_ds_combinations_parity.py`, `tests/parity/test_mgcv_gp_combinations_parity.py` | Basis, penalty, constructor, and smoothCon surfaces, including cyclic P-splines (`cp`), integrated-derivative B-splines (`bs`), multivariate Duchon splines (`ds`), and five-family stationary/nonstationary Gaussian-process smooths (`gp`) across prediction, selection, linked bases, tensor/factor-smooth combinations, and the upstream tensor-`m` wrong-length warning and zero fallback. | | `pc=` / linked `id=` routing | smooth metadata + linked basis owners | `tests/smooths/test_mgcv_pc_id_parity.py` | Localizes shared-smoothing and point-constraint issues, including `te`/`ti` point constraints. | | Design / pre-fit assembly | `nampy/gam/compiler/`, `nampy/gam/fit/penalized_system.py` | `tests/optimization/test_mgcv_gam_setup_assembly_parity.py`, `tests/optimization/test_mgcv_preoptimization_blocks_parity.py`, `tests/optimization/test_mgcv_preoptimization_reparam_parity.py` | Setup, blocks, and reparameterization parity, including one global shared-component block with overlapping linear-predictor indices. | | Term wrapping / by-variable / offset routing | predictor wrapping + compiled term owners | `tests/optimization/test_gam_term_wrapping_owner_contracts.py` | Localizes wrapped predictor blocks, offset routing, and general-family block ownership before broader prediction parity. | @@ -47,7 +47,7 @@ closes the former seven-stage under-tested backlog. | Pipeline stage | Combination coverage now owned | | --- | --- | | 1. Formula parsing and canonical specs | Formula lists/shared components, transformed covariates, supported numeric/factor interactions, factor-by smooths, formula and fit offsets, intercept policies, weights, knots, `min_sp`, `drop_intercept`, and tensor-`m` warning/fallback behavior; the combined interaction recipe is rebuilt on newdata and compared with a committed `mgcv` reference fixture. | -| 2. Runtime terms and low-level bases | Train/newdata pairing for every supported basis (`bs/cr/cs/cc/cp/ds/ps/tp/ts/re/fs/sz/te/ti`), including univariate, multivariate Duchon, and structured boundary response/SE parity. Row-permutation contracts cover linked and identified-FS terms, PS/TP/TS bases, `te`/`ti`, SZ, and factor-by smooths. Non-unique constructor representations use column-space projectors and penalized response operators instead of arbitrary coefficient orientation. | +| 2. Runtime terms and low-level bases | Train/newdata pairing for every supported basis (`bs/cr/cs/cc/cp/ds/gp/ps/tp/ts/re/fs/sz/te/ti`), including univariate, multivariate Duchon/GP, and structured boundary response/SE parity. Row-permutation contracts cover linked and identified-FS terms, PS/TP/TS bases, `te`/`ti`, SZ, and factor-by smooths. Non-unique constructor representations use column-space projectors and penalized response operators instead of arbitrary coefficient orientation. | | 3. Constructed/wrapped terms | Numeric-by plus linked `id=`, factor-by plus linked `id=`, tensor-by, and mixed fixed/free/select penalty ownership, numerical coefficient-map composition, and fitted response/SE parity. | | 4. Predictor/model compilation | Multi-predictor layouts with unequal intercept and offset policies, overlapping shared-component coefficient indices, and three-term linked, fixed/free, select, and rank-deficient assembly; supported `gaulss` and `gammals` layouts are also fitted and compared with `mgcv`. | | 5. Side conditions and identifiability | Repeated, nested, reverse-formula-order, tensor/main-effect, three-way, both identified near-rank regimes, zero-width, no-intercept, ordered factor-by, linked, general-family, two-predictor, SZ, and exempt random/factor smooth cases. Deletion rank and behavior replace raw pivot-column identity where QR/eigen choices are non-unique. | diff --git a/tests/TAXONOMY.md b/tests/TAXONOMY.md index d5a6a46c..c86ea87d 100644 --- a/tests/TAXONOMY.md +++ b/tests/TAXONOMY.md @@ -12,7 +12,7 @@ The GAM test suite is intentionally overlapping. The goal is fast subset runs an - `tests/`: shared helpers, marker inference, taxonomy registry, static reference fixtures, and parity-generation R scripts ## Taxonomy Axes -- `smooth_`: `bs`, `cr`, `cs`, `cc`, `cp`, `ds`, `ps`, `tp`, `ts`, `te`, `ti`, `fs`, `sz`, `re` +- `smooth_`: `bs`, `cr`, `cs`, `cc`, `cp`, `ds`, `gp`, `ps`, `tp`, `ts`, `te`, `ti`, `fs`, `sz`, `re` - `family_`: `gaussian`, `binomial`, `poisson`, `gamma`, `negbin`, `gaulss`, `gammals`, `general` - `method_`: `fixed`, `reml`, `ml`, `laml`, `gcv`, `ubre` - `link_`: `identity`, `log`, `inverse`, `logit`, `probit`, `cloglog`, `cauchit`, `sqrt` diff --git a/tests/_taxonomy_registry.py b/tests/_taxonomy_registry.py index ebe8d7b8..ae41327c 100644 --- a/tests/_taxonomy_registry.py +++ b/tests/_taxonomy_registry.py @@ -20,6 +20,7 @@ def _leaf(leaf_id: str, *nodeid_parts: str) -> LeafCoverageExpectation: "cc": "smooth_cc", "cp": "smooth_cp", "ds": "smooth_ds", + "gp": "smooth_gp", "ps": "smooth_ps", "tp": "smooth_tp", "ts": "smooth_ts", @@ -143,6 +144,11 @@ def _leaf(leaf_id: str, *nodeid_parts: str) -> LeafCoverageExpectation: "tests/smooths/test_mgcv_raw_constructor_parity.py", "tests/smooths/test_mgcv_smoothcon_parity.py", ), + "smooth_gp": ( + "tests/parity/test_mgcv_gp_combinations_parity.py", + "tests/smooths/test_mgcv_raw_constructor_parity.py", + "tests/smooths/test_mgcv_smoothcon_parity.py", + ), "smooth_cs": ( "tests/smooths/test_mgcv_pc_id_parity.py", "tests/smooths/test_mgcv_raw_constructor_parity.py", diff --git a/tests/mgcv_invariant_policy.py b/tests/mgcv_invariant_policy.py index 581a3c89..097555bd 100644 --- a/tests/mgcv_invariant_policy.py +++ b/tests/mgcv_invariant_policy.py @@ -309,6 +309,17 @@ def _canonicalize_duchon_raw_state(state): return state +def _canonicalize_gp_raw_state(state): + extra = state["extra"] + extra.pop("used_supplied_knots", False) + extra.pop("used_subsampling", False) + extra.pop("pure_knot", False) + state["S"] = [penalty_spectrum(S) for S in state["S"]] + state["X"] = matrix_self_gram(state["X"]) + extra["UZ"] = stable_column_space_projector(extra["UZ"]) + return state + + def _canonicalize_cs_raw_state(state): state["S"] = [penalty_spectrum(S) for S in state["S"]] return state @@ -365,6 +376,8 @@ def canonicalize_raw_representation_state(state: dict[str, Any]) -> dict[str, An return _canonicalize_tprs_raw_state(state) if class_name == "duchon.spline": return _canonicalize_duchon_raw_state(state) + if class_name == "gp.smooth": + return _canonicalize_gp_raw_state(state) if class_name == "fs.interaction": return _canonicalize_fs_raw_state(state) if class_name == "sz.interaction": diff --git a/tests/mgcv_parity_utils.py b/tests/mgcv_parity_utils.py index d2e79681..85a4c65f 100644 --- a/tests/mgcv_parity_utils.py +++ b/tests/mgcv_parity_utils.py @@ -940,10 +940,11 @@ def _normalize_snapshot_payload(payload): if cached is not None: return _normalize_snapshot_payload(cached) + formula_for_r = _normalize_python_formula_text(formula) if optimizer is not None: result = _run_mgcv_snapshot_single( data, - formula, + formula_for_r, family_token, method, select=select, @@ -954,7 +955,7 @@ def _normalize_snapshot_payload(payload): try: result = _run_mgcv_snapshot_batched( data, - formula, + formula_for_r, family_token, method, select=select, @@ -963,7 +964,7 @@ def _normalize_snapshot_payload(payload): except Exception: result = _run_mgcv_snapshot_single( data, - formula, + formula_for_r, family_token, method, select=select, @@ -1631,6 +1632,12 @@ def _run_mgcv_raw_constructor( shift = pack_vector(sm$shift, "numeric"), p_order = pack_vector(sm$p.order, "numeric") ), + "gp.smooth" = list( + knt = pack_matrix(sm$knt), + UZ = pack_matrix(sm$UZ), + shift = pack_vector(sm$shift, "numeric"), + gp_defn = pack_vector(sm$gp.defn, "numeric") + ), "random.effect" = list( C = pack_constraint(sm$C), random = isTRUE(sm$random), diff --git a/tests/parity/test_mgcv_gp_combinations_parity.py b/tests/parity/test_mgcv_gp_combinations_parity.py new file mode 100644 index 00000000..98d7806c --- /dev/null +++ b/tests/parity/test_mgcv_gp_combinations_parity.py @@ -0,0 +1,293 @@ +"""Integrated parity coverage for Gaussian-process smooths (``bs='gp'``).""" + +from __future__ import annotations + +import numpy as np +import pandas as pd +import pytest + +from nampy.gam import GAM +from nampy.gam.splines.univariate.gp import build_gaussian_process_setup +from tests.mgcv_parity_utils import ( + _assert_basic_mgcv_parity, + _fit_nampy_model, + _fit_nampy_snapshot, + _run_mgcv_snapshot, +) + + +def _gp_data(seed=301, n=180): + rng = np.random.default_rng(seed) + x0 = rng.uniform(-2.0, 2.0, size=n) + x1 = rng.uniform(-1.5, 1.5, size=n) + x2 = rng.uniform(-1.8, 1.8, size=n) + x3 = rng.uniform(-1.2, 1.7, size=n) + z = 0.8 + rng.uniform(-0.4, 0.7, size=n) + f = np.asarray(["a", "b", "c"], dtype=object)[np.arange(n) % 3] + f1 = np.asarray(["u", "v"], dtype=object)[np.arange(n) % 2] + y = ( + 0.2 + + z * np.sin(1.2 * x0) + + 0.3 * x1**2 + - 0.25 * np.cos(x2) + + 0.15 * x3 + + 0.2 * (f == "b") + - 0.15 * (f1 == "v") + + rng.normal(scale=0.12, size=n) + ) + return pd.DataFrame( + { + "y": y, + "x0": x0, + "x1": x1, + "x2": x2, + "x3": x3, + "z": z, + "f": f, + "f1": f1, + } + ) + + +def _assert_snapshot_fit(actual, expected, *, atol=3e-7): + for key in ("response", "link"): + np.testing.assert_allclose( + actual["predictions"][key], + expected["predictions"][key], + atol=atol, + rtol=atol, + ) + np.testing.assert_allclose( + actual["fit"]["edf_total"], + expected["fit"]["edf_total"], + atol=atol, + rtol=atol, + ) + + +def test_gp_numeric_by_select_true_matches_mgcv(): + data = _gp_data(seed=302) + formula = 'y ~ s(x0, x1, by=z, bs="gp", k=10, m=[4,.8])' + actual = _fit_nampy_snapshot(data, formula, "gaussian", "REML", select=True) + expected = _run_mgcv_snapshot(data, formula, "gaussian", "REML", select=True) + assert len(actual["fit"]["smoothing_params"]) == 2 + _assert_basic_mgcv_parity( + actual, + expected, + pred_atol=5e-7, + pred_rtol=5e-7, + sp_log_atol=8e-6, + criterion_atol=3e-7, + ) + + +def test_gp_stationary_select_has_no_extra_null_penalty_and_matches_mgcv(): + data = _gp_data(seed=303) + formula = 'y ~ s(x0, x1, bs="gp", k=10, m=[-5,.9])' + model = _fit_nampy_model(data, formula, "gaussian", "REML", select=True) + assert len(model.smoothing_params) == 1 + _assert_basic_mgcv_parity( + model.parity_snapshot(X=data, include_covariances=True), + _run_mgcv_snapshot(data, formula, "gaussian", "REML", select=True), + pred_atol=5e-7, + pred_rtol=5e-7, + sp_log_atol=8e-6, + criterion_atol=3e-7, + ) + + +def test_gp_factor_by_fixed_sp_matches_mgcv(): + data = _gp_data(seed=304) + formula = 'y ~ s(x0, x1, by=f, bs="gp", k=10, m=[2,.7,1.4], sp=.7)' + actual = _fit_nampy_snapshot(data, formula, "gaussian", "fixed") + expected = _run_mgcv_snapshot(data, formula, "gaussian", "REML") + _assert_snapshot_fit(actual, expected) + + +def test_gp_linked_terms_clone_first_definition_but_retain_each_xt(): + data = _gp_data(seed=305, n=150) + formula = ( + 'y ~ s(x0, x1, bs="gp", k=10, m=[4,.8], ' + 'xt={"max.knots":14,"seed":7}, id="shared_gp", sp=[.7,.9])' + ' + s(x2, x3, bs="gp", k=12, m=[1,.5], ' + 'xt={"max.knots":16,"seed":9}, id="shared_gp")' + ) + model = _fit_nampy_model(data, formula, "gaussian", "fixed", select=True) + assert len(model.smoothing_params) == 2 + runtimes = [ + term.predict_fn.__self__ + for term in model.gam_result_.compiled_model.compiled_terms + if term.term_type == "smooth" + ] + assert [runtime._setup.knots.shape[0] for runtime in runtimes] == [14, 16] + for runtime in runtimes: + np.testing.assert_allclose(runtime._setup.definition, [4.0, 0.8, 1.0]) + _assert_snapshot_fit( + model.parity_snapshot(X=data, include_covariances=True), + _run_mgcv_snapshot(data, formula, "gaussian", "REML", select=True), + atol=8e-7, + ) + + +def test_gp_point_constraint_and_fixed_basis_match_mgcv(): + data = _gp_data(seed=306) + formula = 'y ~ s(x0, x1, bs="gp", k=10, m=[3,.8], pc=[.2,-.3], sp=.8)' + actual = _fit_nampy_snapshot(data, formula, "gaussian", "fixed") + expected = _run_mgcv_snapshot(data, formula, "gaussian", "REML") + _assert_snapshot_fit(actual, expected) + + fixed_formula = 'y ~ s(x2, x3, bs="gp", k=10, m=[-3,.8], fx=True)' + model = _fit_nampy_model(data, fixed_formula, "gaussian", "fixed", select=True) + assert model.gam_result_.compiled_model.compiled_penalties == () + _assert_snapshot_fit( + model.parity_snapshot(X=data, include_covariances=True), + _run_mgcv_snapshot( + data, fixed_formula, "gaussian", "REML", select=True + ), + ) + + +@pytest.mark.parametrize( + "formula", + [ + 'y ~ te(x0, x2, bs=["gp","cr"], k=[8,5], ' + 'm=[[2,.7,1.5],None], sp=[.6,.8])', + 'y ~ ti(x0, x1, x2, d=[2,1], bs=["gp","cr"], k=[10,5], ' + 'm=[[-5,.9],None], sp=[.6,.8])', + ], + ids=["te_univariate", "ti_multivariate_stationary"], +) +def test_gp_tensor_margins_fixed_sp_match_mgcv(formula): + data = _gp_data(seed=307, n=150) + actual = _fit_nampy_snapshot(data, formula, "gaussian", "fixed") + expected = _run_mgcv_snapshot(data, formula, "gaussian", "REML") + _assert_snapshot_fit(actual, expected, atol=1e-6) + + +@pytest.mark.parametrize( + "formula", + [ + 'y ~ s(f, x0, x1, bs="fs", xt="gp", k=10, m=[-1,.6], ' + 'sp=[.7,.9])', + 'y ~ s(f, f1, x0, x1, bs="sz", xt="gp", k=10, ' + 'm=[1,.6], id="shared_gp_sz", sp=.7)', + ], + ids=["fs", "sz"], +) +def test_gp_multivariate_factor_smooth_base_fixed_sp_matches_mgcv(formula): + data = _gp_data(seed=308, n=150) + actual = _fit_nampy_snapshot(data, formula, "gaussian", "fixed") + expected = _run_mgcv_snapshot(data, formula, "gaussian", "REML") + _assert_snapshot_fit(actual, expected, atol=1e-6) + + +def test_gp_persistence_preserves_chunked_extrapolation(tmp_path): + data = _gp_data(seed=309, n=130) + formula = ( + 'y ~ s(x0, x1, bs="gp", k=10, m=[-1,.6], ' + 'xt={"max.knots":14,"seed":7}, sp=.7)' + ) + model = _fit_nampy_model(data, formula, "gaussian", "fixed") + newdata = pd.DataFrame( + { + "x0": np.linspace(-4.0, 4.0, 31), + "x1": np.linspace(-3.0, 3.5, 31), + } + ) + expected = model.predict(newdata, type="link", block_size=1) + path = tmp_path / "gp.pkl" + model.save_model(path) + restored = GAM.load_model(path) + np.testing.assert_allclose( + restored.predict(newdata, type="link", block_size=1), expected + ) + _assert_snapshot_fit( + model.parity_snapshot(X=data, include_covariances=True), + _run_mgcv_snapshot(data, formula, "gaussian", "REML"), + ) + + +def test_gp_array_api_with_explicit_k_builds_one_term_per_feature(): + data = _gp_data(seed=312, n=100) + features = data[["x0", "x1"]] + model = GAM( + family="gaussian", + basis="gp", + k=10, + optimize_smoothing=False, + smoothing_params=[0.5, 0.8], + ).fit(X=features, y=data["y"].to_numpy(dtype=np.float64)) + assert len(model.smoothing_params) == 2 + assert model.predict(features.iloc[:7]).shape == (7,) + + +def test_gp_definition_warnings_and_validation(): + x = np.linspace(-1.0, 1.0, 30) + X = np.column_stack([x, np.sin(x)]) + rounded = build_gaussian_process_setup(X, k=8, m=[1.6, 0.7, 1.5]) + np.testing.assert_allclose(rounded.definition, [2.0, 0.7, 1.5]) + + with pytest.warns(UserWarning, match="basis dimension reset"): + assert build_gaussian_process_setup(X, k=2, m=[-3, 0.7]).bs_dim == 4 + with pytest.warns(UserWarning, match="more knots than data in an ms term"): + ignored = build_gaussian_process_setup( + X, k=8, m=[3, 0.7], knots=[np.arange(31), np.arange(31)] + ) + assert not ignored.used_supplied_knots + + with pytest.raises(ValueError, match="incorrect arguments"): + build_gaussian_process_setup(X, k=8, m=[0, 0.7]) + with pytest.raises(ValueError, match="incorrect arguments"): + build_gaussian_process_setup(X, k=8, m=[1, 0.7, 2.1]) + with pytest.raises(ValueError, match="same length"): + build_gaussian_process_setup( + X, + k=8, + m=[3, 0.7], + knots=[np.linspace(-1, 1, 10), np.linspace(-1, 1, 9)], + ) + with pytest.raises(ValueError, match="fewer unique covariate combinations"): + build_gaussian_process_setup(np.repeat(X[:4], 5, axis=0), k=8) + with pytest.raises(ValueError, match="at least as many knot locations"): + build_gaussian_process_setup( + X, + k=10, + m=[3, 0.7], + knots=[np.arange(6), np.arange(6)], + ) + with pytest.raises(ValueError, match="supply k explicitly"): + build_gaussian_process_setup(np.column_stack([X, X]), k=-1) + + +def test_gp_linked_pc_different_features_and_derivative_are_explicitly_unsupported(): + data = _gp_data(seed=310, n=80) + with pytest.raises(NotImplementedError, match="different feature sets"): + GAM( + formula=( + 'y ~ s(x0, bs="gp", k=10, pc=[0], id="gp_pc")' + ' + s(x1, bs="gp", k=10, pc=[0], id="gp_pc")' + ), + optimize_smoothing=False, + ).fit(data=data) + + model = GAM( + formula='y ~ s(x0, bs="gp", k=10, sp=.7)', + optimize_smoothing=False, + ).fit(data=data) + with pytest.raises(NotImplementedError, match="derivative provider"): + model.derivative(data, smooth_number=1) + + +def test_gp_tensor_stationarity_requires_nested_m(): + data = _gp_data(seed=311, n=90) + with pytest.raises(ValueError, match="incorrect arguments to GP smoother"): + GAM( + formula='y ~ te(x0, x1, bs=["gp","gp"], k=[8,8], m=[-3,-3])', + optimize_smoothing=False, + ).fit(data=data) + + nested = GAM( + formula='y ~ te(x0, x1, bs=["gp","gp"], k=[8,8], m=[[-3],[-3]])', + optimize_smoothing=False, + ).fit(data=data) + assert nested.predict(data).shape == (len(data),) diff --git a/tests/reference_fixtures/mgcv/03afb257b606dc2aabe12601f681cceaf7f8fa09e91550cfb53fb98f3c4c408c.json.gz b/tests/reference_fixtures/mgcv/03afb257b606dc2aabe12601f681cceaf7f8fa09e91550cfb53fb98f3c4c408c.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..3e7a07ffb58eb690a4e9141c1dbb7b41cf49f3f2 GIT binary patch literal 62256 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z1>X*ic=<}mH-j@?_d~yWP4N3SKfda7e?Q{kuuxm%Nd$4r;WXw*YooAiLc(2_Ubh!FDGKX8#ViOR@~b$%C4x}zI&bC%eNN19CrF{ zj`_=1qrG|!%gc9LynNNc+xKd|eb4v*V@g6JG5qQG-~aaKO!TNQKpk20k?5BAR!K8> w%^se&@>f6p_aFcG%};;+_SfHi;3ot0pHK)l|6z000gWZ761SM literal 0 HcmV?d00001 diff --git a/tests/smooths/test_mgcv_raw_constructor_parity.py b/tests/smooths/test_mgcv_raw_constructor_parity.py index 72b3af25..f16ced60 100644 --- a/tests/smooths/test_mgcv_raw_constructor_parity.py +++ b/tests/smooths/test_mgcv_raw_constructor_parity.py @@ -29,6 +29,7 @@ from nampy.gam.smooths.univariate.bs import DerivativeBSplineTerm1D from nampy.gam.smooths.univariate.cr import CubicSplineTerm from nampy.gam.smooths.univariate.ds import DuchonSplineTerm +from nampy.gam.smooths.univariate.gp import GaussianProcessTerm from nampy.gam.smooths.univariate.ps import PSplineTerm1D from nampy.gam.smooths.univariate.tp import ThinPlateSplineTerm from nampy.gam.specs.build import build_formula_model @@ -639,6 +640,86 @@ def _build_duchon_case_matrix(): ] +def _build_gp_case_matrix(): + return [ + _case( + "gp_1d_default_k", + _factory(_make_univariate_data, seed=160, n=90), + 'y ~ s(x, bs="gp")', + atol=2e-8, + ), + _case( + "gp_2d_default_k", + _factory(_make_gaussian_data, seed=161, n=100), + 'y ~ s(x0, x1, bs="gp")', + atol=2e-8, + ), + _case( + "gp_2d_spherical", + _factory(_make_gaussian_data, seed=162, n=90), + 'y ~ s(x0, x1, bs="gp", k=10, m=[1, .7])', + atol=2e-8, + ), + _case( + "gp_2d_stationary_spherical", + _factory(_make_gaussian_data, seed=163, n=90), + 'y ~ s(x0, x1, bs="gp", k=10, m=[-1, .7])', + atol=2e-8, + ), + _case( + "gp_2d_power_exponential", + _factory(_make_gaussian_data, seed=164, n=90), + 'y ~ s(x0, x1, bs="gp", k=10, m=[2, .8, 1.5])', + atol=2e-8, + ), + _case( + "gp_2d_matern_35", + _factory(_make_gaussian_data, seed=165, n=90), + 'y ~ s(x0, x1, bs="gp", k=10, m=[5, .9])', + atol=2e-8, + ), + _case( + "gp_2d_supplied_truncated", + _factory(_make_gaussian_data, seed=166, n=90), + 'y ~ s(x0, x1, bs="gp", k=10, m=[4, .8])', + atol=2e-8, + knots_factory=_observed_row_knots(["x0", "x1"], 14), + ), + _case( + "gp_2d_supplied_pure_knot", + _factory(_make_gaussian_data, seed=167, n=90), + 'y ~ s(x0, x1, bs="gp", k=10, m=[3, .8])', + atol=2e-8, + knots_factory=_observed_row_knots(["x0", "x1"], 7), + ), + _case( + "gp_2d_stationary_pure_knot", + _factory(_make_gaussian_data, seed=168, n=90), + 'y ~ s(x0, x1, bs="gp", k=10, m=[-3, .8])', + atol=2e-8, + knots_factory=_observed_row_knots(["x0", "x1"], 9), + ), + _case( + "gp_2d_max_knots_xt", + _factory(_make_gaussian_data, seed=169, n=70), + 'y ~ s(x0, x1, bs="gp", k=10, xt={"max.knots": 14, "seed": 7})', + atol=2e-8, + ), + _case( + "gp_3d_basic", + _factory(_make_gaussian_data_3col, seed=170, n=100), + 'y ~ s(x0, x1, x2, bs="gp", k=15)', + atol=5e-8, + ), + _case( + "gp_3d_default_k", + _factory(_make_gaussian_data_3col, seed=173, n=120), + 'y ~ s(x0, x1, x2, bs="gp")', + atol=2e-6, + ), + ] + + def _build_re_case_matrix(): penalty_multi = { "S": [ @@ -731,6 +812,18 @@ def _build_factor_smooth_case_matrix(): 'y ~ s(f1, f2, x, bs="sz", k=6, id="shared")', atol=2e-8, ), + _case( + "fs_base_gp_multivariate", + _factory(_make_factorized_gaussian_data, seed=171, n=96), + 'y ~ s(f, x0, x1, bs="fs", xt="gp", k=10, m=[1, .6])', + atol=2e-8, + ), + _case( + "sz_base_gp_multivariate", + _factory(_make_sz_metric2d_data, seed=172, n=90), + 'y ~ s(f1, f2, x0, x1, bs="sz", xt="gp", k=10, m=[1, .6])', + atol=2e-8, + ), ] fs_xt_cases = [ ("cr", "cr"), @@ -930,6 +1023,7 @@ def _build_tensor_case_matrix(): *_build_bs_case_matrix(), *_build_tprs_case_matrix(), *_build_duchon_case_matrix(), + *_build_gp_case_matrix(), *_build_re_case_matrix(), *_build_factor_smooth_case_matrix(), *_build_tensor_case_matrix(), @@ -1147,6 +1241,27 @@ def _serialize_duchon_raw(term): ) +def _serialize_gp_raw(term): + setup = term._setup + basis = np.asarray(setup.basis_train, dtype=np.float64) + return _common_raw_state( + "gp.smooth", + basis, + [np.asarray(setup.penalty, dtype=np.float64)], + rank=int(setup.rank), + null_space_dim=int(setup.null_space_dim), + extra={ + "knt": np.asarray(setup.knots, dtype=np.float64), + "UZ": np.asarray(setup.UZ, dtype=np.float64), + "shift": np.asarray(setup.shift, dtype=np.float64), + "gp_defn": np.asarray(setup.definition, dtype=np.float64), + "used_supplied_knots": bool(setup.used_supplied_knots), + "used_subsampling": bool(setup.used_subsampling), + "pure_knot": bool(setup.knots.shape[0] == setup.rank), + }, + ) + + def _serialize_re_raw(term): B = np.asarray(term._basis_train, dtype=np.float64) q = int(B.shape[1]) @@ -1374,6 +1489,8 @@ def _serialize_term_raw(term, X): return _serialize_tprs_raw(term) if isinstance(term, DuchonSplineTerm): return _serialize_duchon_raw(term) + if isinstance(term, GaussianProcessTerm): + return _serialize_gp_raw(term) if isinstance(term, RandomEffectTerm): return _serialize_re_raw(term) if isinstance(term, FSmoothInteractionTerm):

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