{ "cells": [ { "cell_type": "markdown", "id": "c00", "metadata": {}, "source": [ "# Model discrepancy with a Gaussian-process term\n", "\n", "A linear model is fit to data drawn from a *mildly non-linear* truth. The model\n", "is structurally wrong, so a plain fit leaves **correlated** residuals. We absorb\n", "that structure with a Gaussian-process (GP) **discrepancy** term added to the\n", "constraint covariance — a `rxmc.covariance.kernel_term` built from a scikit-learn\n", "kernel — and then **propagate the total uncertainty** (model parameters + GP\n", "discrepancy + observation noise) to a fine prediction grid using\n", "`rxmc.predictive.total_predictive_band`.\n", "\n", "This is the Kennedy & O'Hagan picture: the discrepancy is a latent correlated\n", "function, marginalised over its GP prior. The kernel term only inflates the\n", "covariance **at the data points**; predicting the discrepancy at *new* points is\n", "the GP posterior-predictive provided by `rxmc.predictive.gp_posterior_predictive`." ] }, { "cell_type": "code", "execution_count": 1, "id": "c01", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:07:51.145746Z", "iopub.status.busy": "2026-08-11T03:07:51.145608Z", "iopub.status.idle": "2026-08-11T03:07:53.817459Z", "shell.execute_reply": "2026-08-11T03:07:53.816779Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using database version X4-2024-12-31 located in: /home/kyle/db/exfor/unpack_exfor-2024/X4-2024-12-31\n" ] } ], "source": [ "import corner\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from scipy import stats\n", "from sklearn.gaussian_process.kernels import ConstantKernel, Matern, WhiteKernel\n", "\n", "import rxmc\n", "\n", "rng = np.random.default_rng(7)" ] }, { "cell_type": "markdown", "id": "c02", "metadata": {}, "source": [ "## A linear model and a non-linear truth\n", "\n", "The model is a straight line $y_m(x; m, b) = m x + b$. We give it the usual\n", "`.y(x, *params)` helper so the same model can be evaluated on a raw grid for\n", "plotting." ] }, { "cell_type": "code", "execution_count": 2, "id": "c03", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:07:53.819066Z", "iopub.status.busy": "2026-08-11T03:07:53.818832Z", "iopub.status.idle": "2026-08-11T03:07:53.822492Z", "shell.execute_reply": "2026-08-11T03:07:53.821615Z" } }, "outputs": [], "source": [ "class LinearModel(rxmc.physical_model.PhysicalModel):\n", " def __init__(self):\n", " super().__init__(\n", " [rxmc.params.Parameter(\"m\", float), rxmc.params.Parameter(\"b\", float)]\n", " )\n", "\n", " def evaluate(self, observation, m, b):\n", " return self.y(observation.x, m, b)\n", "\n", " def y(self, x, m, b):\n", " return m * x + b\n", "\n", "\n", "model = LinearModel()" ] }, { "cell_type": "code", "execution_count": 3, "id": "c04", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:07:53.823735Z", "iopub.status.busy": "2026-08-11T03:07:53.823595Z", "iopub.status.idle": "2026-08-11T03:07:54.037874Z", "shell.execute_reply": "2026-08-11T03:07:54.037056Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# truth: a saturating (non-linear) curve the straight line cannot capture\n", "K = 2.0\n", "\n", "\n", "def truth(x):\n", " return (0.8 * x + 1.0) / (1.0 + x / K)\n", "\n", "\n", "x = np.linspace(0.2, 5.0, 30)\n", "noise = 0.02\n", "y = truth(x) + rng.normal(0.0, noise, size=x.size)\n", "observation = rxmc.observation.Observation(x=x, y=y, y_stat_err=noise * np.ones_like(y))\n", "\n", "xg = np.linspace(0.0, 5.5, 120) # fine grid for predictions\n", "\n", "plt.errorbar(x, y, noise, ls=\"none\", marker=\".\", label=\"data\")\n", "plt.plot(xg, truth(xg), \"k:\", label=\"truth\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.legend()\n", "plt.title(\"data from a non-linear truth\");" ] }, { "cell_type": "markdown", "id": "c05", "metadata": {}, "source": [ "## Building the constraint with a GP discrepancy term\n", "\n", "`rxmc.covariance.kernel_term(kernel)` wraps a scikit-learn kernel as\n", "a kernel `Term`. It **auto-derives one `Parameter` per free kernel hyperparameter**\n", "(sampled in sklearn's log-theta space). The constraint then carries those\n", "hyperparameters as its covariance parameters (`constraint.params`), so it is\n", "auto-detected as a parametric constraint." ] }, { "cell_type": "code", "execution_count": 4, "id": "c06", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:07:54.039335Z", "iopub.status.busy": "2026-08-11T03:07:54.039172Z", "iopub.status.idle": "2026-08-11T03:07:54.043021Z", "shell.execute_reply": "2026-08-11T03:07:54.042513Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "GP hyperparameters (sampled in log-theta space):\n", " discrepancy_k1__k1__constant_value\n", " discrepancy_k1__k2__length_scale\n", " discrepancy_k2__noise_level\n" ] } ], "source": [ "kernel = ConstantKernel(1.0) * Matern(length_scale=2.0, nu=2.5) + WhiteKernel(1e-6)\n", "\n", "constraint_gp = rxmc.constraint.Constraint(\n", " [observation],\n", " model,\n", " extra_terms=[rxmc.covariance.kernel_term(kernel)],\n", ")\n", "evidence_gp = rxmc.evidence.Evidence([constraint_gp])\n", "\n", "print(\"GP hyperparameters (sampled in log-theta space):\")\n", "for p in constraint_gp.params:\n", " print(\" \", p.name)" ] }, { "cell_type": "markdown", "id": "c07", "metadata": {}, "source": [ "For comparison we also build two reference constraints over the *same* data:\n", "a plain line (statistical errors only) and a line with an uncorrelated\n", "**model-error** term (`model_error_term`, the diagonal $\\gamma^2$ inflation).\n", "Neither can represent the *correlated* curvature the GP captures." ] }, { "cell_type": "code", "execution_count": 5, "id": "c08", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:07:54.044477Z", "iopub.status.busy": "2026-08-11T03:07:54.044335Z", "iopub.status.idle": "2026-08-11T03:07:54.048000Z", "shell.execute_reply": "2026-08-11T03:07:54.047249Z" } }, "outputs": [], "source": [ "constraint_plain = rxmc.constraint.Constraint([observation], model)\n", "evidence_plain = rxmc.evidence.Evidence([constraint_plain])\n", "\n", "gamma = rxmc.params.Parameter(\n", " \"log fractional err\", float, latex_name=r\"\\gamma\", unit=\"dimensionless\"\n", ")\n", "constraint_me = rxmc.constraint.Constraint(\n", " [observation],\n", " model,\n", " extra_terms=[rxmc.covariance.model_error_term(gamma, averaging=True)],\n", ")\n", "evidence_me = rxmc.evidence.Evidence([constraint_me])" ] }, { "cell_type": "markdown", "id": "c09", "metadata": {}, "source": [ "## Sampling\n", "\n", "The physical parameters $(m, b)$ are sampled in the model block; each parametric\n", "constraint's covariance parameters (GP log-theta, or $\\gamma$) are sampled in a\n", "Gibbs block by a `likelihood_sampler`. GP hyperparameters get a broad\n", "$\\mathcal N(0, 2)$ prior **per log-hyperparameter**." ] }, { "cell_type": "code", "execution_count": 6, "id": "c10", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:07:54.049326Z", "iopub.status.busy": "2026-08-11T03:07:54.049168Z", "iopub.status.idle": "2026-08-11T03:08:09.762020Z", "shell.execute_reply": "2026-08-11T03:08:09.761234Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "line only: model acceptance 0.45\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "line + model error: model acceptance 0.35\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "line + GP discrepancy: model acceptance 0.38\n" ] } ], "source": [ "model_prior = stats.multivariate_normal(mean=[0.8, 1.0], cov=np.diag([0.5, 0.5]) ** 2)\n", "\n", "\n", "def make_model_sampler():\n", " return rxmc.param_sampling.BatchedAdaptiveMetropolisSampler(\n", " params=model.params,\n", " starting_location=model_prior.mean,\n", " prior=model_prior,\n", " initial_proposal_cov=model_prior.cov / 100,\n", " )\n", "\n", "\n", "def make_nuisance_sampler(params, prior, cov):\n", " return rxmc.param_sampling.BatchedAdaptiveMetropolisSampler(\n", " params=list(params),\n", " starting_location=prior.mean,\n", " prior=prior,\n", " initial_proposal_cov=cov,\n", " )\n", "\n", "\n", "theta_prior = stats.multivariate_normal(\n", " mean=np.zeros(constraint_gp.n_params), cov=4.0 * np.eye(constraint_gp.n_params)\n", ")\n", "gamma_prior = stats.multivariate_normal(mean=[np.log(0.05)], cov=[[1.0]])\n", "\n", "walkers = {}\n", "walkers[\"line only\"] = rxmc.walker.Walker(make_model_sampler(), evidence_plain, rng=rng)\n", "walkers[\"line + model error\"] = rxmc.walker.Walker(\n", " make_model_sampler(),\n", " evidence_me,\n", " likelihood_samplers=[\n", " make_nuisance_sampler(constraint_me.params, gamma_prior, np.array([[0.04]]))\n", " ],\n", " rng=rng,\n", ")\n", "walkers[\"line + GP discrepancy\"] = rxmc.walker.Walker(\n", " make_model_sampler(),\n", " evidence_gp,\n", " likelihood_samplers=[\n", " make_nuisance_sampler(\n", " constraint_gp.params, theta_prior, 0.04 * np.eye(constraint_gp.n_params)\n", " )\n", " ],\n", " rng=rng,\n", ")\n", "\n", "for key, walker in walkers.items():\n", " walker.walk(n_steps=4000, burnin=1500, batch_size=500, verbose=False)\n", " print(\n", " f\"{key}: model acceptance \"\n", " f\"{walker.model_sampler.overall_acceptance_fraction():.2f}\"\n", " )" ] }, { "cell_type": "markdown", "id": "c11", "metadata": {}, "source": [ "## Posterior of the GP hyperparameters" ] }, { "cell_type": "code", "execution_count": 7, "id": "c12", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:08:09.763535Z", "iopub.status.busy": "2026-08-11T03:08:09.763375Z", "iopub.status.idle": "2026-08-11T03:08:11.031094Z", "shell.execute_reply": "2026-08-11T03:08:11.030356Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gp_walker = walkers[\"line + GP discrepancy\"]\n", "theta_chain = gp_walker.likelihood_samplers[0].chain\n", "fig = corner.corner(\n", " theta_chain,\n", " labels=[p.latex_name for p in constraint_gp.params],\n", " show_titles=True,\n", ")\n", "fig.suptitle(\"GP hyperparameters (log-theta)\");" ] }, { "cell_type": "markdown", "id": "c13", "metadata": {}, "source": [ "## Propagating the total uncertainty\n", "\n", "`rxmc.predictive.total_predictive_band` takes the posterior draws\n", "$[m, b \\mid \\log\\theta]$ and, for each draw, conditions the GP discrepancy on the\n", "residuals and samples\n", "$y_* = y_m(x_*) + \\bar f_*(x_*) + \\mathcal N(0,\\ \\mathrm{var}_* + \\sigma^2)$ on the\n", "fine grid. The line-only and model-error bands are credible intervals on the mean\n", "line (they cannot bend); the GP band tracks the non-linear truth." ] }, { "cell_type": "code", "execution_count": 8, "id": "c14", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:08:11.032555Z", "iopub.status.busy": "2026-08-11T03:08:11.032395Z", "iopub.status.idle": "2026-08-11T03:08:12.461318Z", "shell.execute_reply": "2026-08-11T03:08:12.460505Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draws_gp = np.column_stack([gp_walker.model_sampler.chain, theta_chain])\n", "\n", "band_gp = rxmc.predictive.total_predictive_band(\n", " model.y,\n", " kernel,\n", " x,\n", " y,\n", " xg,\n", " draws_gp,\n", " n_model_params=model.n_params,\n", " noise_std=noise,\n", " levels=(16, 84),\n", " n_draws=300,\n", " rng=rng,\n", ")\n", "\n", "\n", "def mean_line_band(walker, levels=(16, 84)):\n", " chain = walker.model_sampler.chain[:, : model.n_params]\n", " return rxmc.predictive.predictive_band(\n", " np.array([model.y(xg, *p) for p in chain]), levels=levels\n", " )\n", "\n", "\n", "band_plain = mean_line_band(walkers[\"line only\"])\n", "band_me = mean_line_band(walkers[\"line + model error\"])\n", "\n", "fig, ax = plt.subplots(figsize=(8, 5))\n", "ax.plot(xg, truth(xg), \"k:\", lw=2, label=\"truth\")\n", "ax.errorbar(x, y, noise, ls=\"none\", marker=\".\", color=\"k\", alpha=0.6, label=\"data\")\n", "for (lo, hi), c, lab in [\n", " (band_plain, \"tab:blue\", \"line only (68% mean band)\"),\n", " (band_me, \"tab:orange\", \"line + model error (68% mean band)\"),\n", " (band_gp, \"tab:green\", \"line + GP discrepancy (68% total predictive)\"),\n", "]:\n", " ax.fill_between(xg, lo, hi, color=c, alpha=0.3, label=lab)\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.legend()\n", "ax.set_title(\"Only the GP discrepancy band follows the non-linear structure\");" ] }, { "cell_type": "markdown", "id": "c15", "metadata": {}, "source": [ "## What the GP actually captured: the correlated residuals\n", "\n", "The smoking gun for model discrepancy is **structure in the residuals** $y -\n", "y_m(x)$ — a good (well-specified) model leaves white noise. Conditioning the GP on\n", "those residuals (`rxmc.predictive.gp_posterior_predictive`) recovers a smooth\n", "discrepancy that matches the true mismatch `truth(x) - line(x)`." ] }, { "cell_type": "code", "execution_count": 9, "id": "c16", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:08:12.463263Z", "iopub.status.busy": "2026-08-11T03:08:12.463090Z", "iopub.status.idle": "2026-08-11T03:08:12.747816Z", "shell.execute_reply": "2026-08-11T03:08:12.747122Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mp_mean = gp_walker.model_sampler.chain.mean(axis=0)\n", "theta_mean = theta_chain.mean(axis=0)\n", "residuals = y - model.y(x, *mp_mean)\n", "\n", "disc_mean, disc_cov = rxmc.predictive.gp_posterior_predictive(\n", " kernel, theta_mean, x, residuals, xg, train_noise_var=noise**2\n", ")\n", "disc_sd = np.sqrt(np.clip(np.diag(disc_cov), 0.0, np.inf))\n", "\n", "plt.figure(figsize=(8, 4))\n", "plt.axhline(0.0, color=\"0.7\", lw=1)\n", "plt.plot(x, residuals, \"k.\", label=\"residuals $y - y_m(x)$\")\n", "plt.plot(xg, truth(xg) - model.y(xg, *mp_mean), \"k:\", label=\"true discrepancy\")\n", "plt.fill_between(\n", " xg,\n", " disc_mean - disc_sd,\n", " disc_mean + disc_sd,\n", " color=\"tab:green\",\n", " alpha=0.3,\n", " label=\"GP discrepancy (68%)\",\n", ")\n", "plt.plot(xg, disc_mean, color=\"tab:green\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"discrepancy\")\n", "plt.legend()\n", "plt.title(\"the GP recovers the correlated residual structure\");" ] }, { "cell_type": "markdown", "id": "c17", "metadata": {}, "source": [ "## Takeaways\n", "\n", "- A GP discrepancy is **just another covariance `Term`** — `kernel_term`\n", " (a `kernel_term`) added to the constraint. Its hyperparameters become\n", " constraint parameters and are sampled like any other nuisance.\n", "- The kernel term only inflates the covariance at the data points. To predict the\n", " discrepancy at new $x$, use `rxmc.predictive.gp_posterior_predictive`; to get a\n", " full data-space band that propagates model, discrepancy, and noise uncertainty,\n", " use `rxmc.predictive.total_predictive_band`.\n", "- Uncorrelated model error (`model_error_term`) inflates the variance but cannot\n", " represent correlated mis-modelling; the GP can." ] }, { "cell_type": "markdown", "id": "6e491de1", "metadata": {}, "source": [ "# GP discrepancy on a differential cross section\n", "\n", "The same machinery on real reaction physics: we generate mock\n", "$n + {}^{40}$Ca elastic scattering data from a **full** optical potential\n", "(volume + surface absorption), then fit it with a **deficient** potential that\n", "has no surface term. The missing physics leaves a smooth, *angle-correlated*\n", "residual — exactly what a `kernel_term` over the angle grid absorbs.\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "a2cefc08", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:08:12.749919Z", "iopub.status.busy": "2026-08-11T03:08:12.749754Z", "iopub.status.idle": "2026-08-11T03:08:24.846032Z", "shell.execute_reply": "2026-08-11T03:08:24.845346Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import jitr\n", "from jitr.optical_potentials.potential_forms import (\n", " thomas_safe,\n", " woods_saxon_prime_safe,\n", " woods_saxon_safe,\n", ")\n", "\n", "from rxmc.params import Parameter\n", "\n", "Ca40 = (40, 20)\n", "E_lab = 14.1\n", "rxn = jitr.reactions.ElasticReaction(target=Ca40, projectile=(1, 0))\n", "mso = 1.0 / jitr.utils.constants.WAVENUMBER_PION\n", "R40 = 1.2 * 40 ** (1 / 3)\n", "fixed_spin_orbit = (6.0, -3, R40, 0.45)\n", "\n", "\n", "def full_central(r, Vv, Wv, Rv, av, Wd, Rd, ad):\n", " return -(Vv + 1j * Wv) * woods_saxon_safe(r, Rv, av) + (\n", " 4j * ad * Wd\n", " ) * woods_saxon_prime_safe(r, Rd, ad)\n", "\n", "\n", "def volume_central(r, Vv, Wv, Rv, av):\n", " return -(Vv + 1j * Wv) * woods_saxon_safe(r, Rv, av)\n", "\n", "\n", "def spin_orbit_potential(r, Vso, Wso, Rso, aso):\n", " return (Vso + 1j * Wso) * mso**2 * thomas_safe(r, Rso, aso)\n", "\n", "\n", "omp_full = rxmc.elastic_diffxs_model.ElasticDifferentialXSModel(\n", " \"dXS/dA\",\n", " interaction_central=full_central,\n", " interaction_spin_orbit=spin_orbit_potential,\n", " calculate_interaction_from_params=lambda ws, *x: (tuple(x), fixed_spin_orbit),\n", " params=[\n", " Parameter(n, unit=u)\n", " for n, u in [\n", " (\"Vv\", \"MeV\"),\n", " (\"Wv\", \"MeV\"),\n", " (\"Rv\", \"fm\"),\n", " (\"av\", \"fm\"),\n", " (\"Wd\", \"MeV\"),\n", " (\"Rd\", \"fm\"),\n", " (\"ad\", \"fm\"),\n", " ]\n", " ],\n", " model_name=\"full_potential\",\n", ")\n", "omp_vol = rxmc.elastic_diffxs_model.ElasticDifferentialXSModel(\n", " \"dXS/dA\",\n", " interaction_central=volume_central,\n", " interaction_spin_orbit=spin_orbit_potential,\n", " calculate_interaction_from_params=lambda ws, *x: (tuple(x), fixed_spin_orbit),\n", " params=[\n", " Parameter(n, unit=u)\n", " for n, u in [(\"Vv\", \"MeV\"), (\"Wv\", \"MeV\"), (\"Rv\", \"fm\"), (\"av\", \"fm\")]\n", " ],\n", " model_name=\"volume_only_potential\",\n", ")\n", "\n", "full_truth = np.array([48.0, 3.5, 1.1 * 40 ** (1 / 3), 0.7, 21, R40, 0.5])\n", "volume_truth = full_truth[:4] # the deficient model's share of the truth\n", "\n", "obs_xs = rxmc.elastic_diffxs_observation.ElasticDifferentialXSObservation(\n", " x=np.linspace(5.0, 160.0, 25),\n", " y=np.ones(25),\n", " Elab=E_lab,\n", " reaction=rxn,\n", " quantity=\"dXS/dA\",\n", " measurement_quantity=\"dXS/dA\",\n", " y_units=\"barn / steradian\",\n", " dataset_label=\"mock elastic dataset\",\n", ")\n", "y_true_xs = omp_full.evaluate(obs_xs, *full_truth)\n", "stat_xs = 0.04 * np.maximum(y_true_xs, 1e-4)\n", "obs_xs.y = np.clip(y_true_xs + rng.normal(scale=stat_xs), 1e-6, None)\n", "obs_xs.y_stat_err = stat_xs\n", "\n", "plt.errorbar(\n", " np.rad2deg(obs_xs.x), obs_xs.y, stat_xs, ls=\"none\", marker=\".\", label=\"data\"\n", ")\n", "plt.plot(\n", " np.rad2deg(obs_xs.x),\n", " omp_vol.evaluate(obs_xs, *volume_truth),\n", " \"tab:red\",\n", " label=\"deficient model at the true volume params\",\n", ")\n", "plt.xlabel(r\"$\\theta$ [deg]\")\n", "plt.ylabel(r\"$d\\sigma/d\\Omega$ [b/sr]\")\n", "plt.yscale(\"log\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "f1652855", "metadata": {}, "source": [ "## The discrepancy term acts on the angle grid\n", "\n", "The kernel's input coordinate is `obs.x` — the scattering angle **in radians**\n", "— so the `length_scale` is an angular correlation length. Everything else is\n", "identical to the toy section.\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "1f0df948", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:08:24.847679Z", "iopub.status.busy": "2026-08-11T03:08:24.847514Z", "iopub.status.idle": "2026-08-11T03:08:24.851771Z", "shell.execute_reply": "2026-08-11T03:08:24.851045Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "GP hyperparameters: ['discrepancy_k1__k1__constant_value', 'discrepancy_k1__k2__length_scale', 'discrepancy_k2__noise_level']\n" ] } ], "source": [ "kernel_xs = ConstantKernel(1.0) * Matern(length_scale=0.5, nu=2.5) + WhiteKernel(1e-6)\n", "\n", "c_vol_plain = rxmc.constraint.Constraint([obs_xs], omp_vol)\n", "c_vol_gp = rxmc.constraint.Constraint(\n", " [obs_xs],\n", " omp_vol,\n", " extra_terms=[rxmc.covariance.kernel_term(kernel_xs)],\n", ")\n", "print(\"GP hyperparameters:\", [p.name for p in c_vol_gp.params])" ] }, { "cell_type": "code", "execution_count": 12, "id": "1059d23b", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:08:24.853287Z", "iopub.status.busy": "2026-08-11T03:08:24.853128Z", "iopub.status.idle": "2026-08-11T03:08:58.711360Z", "shell.execute_reply": "2026-08-11T03:08:58.710543Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 33.9 s, sys: 2.23 ms, total: 33.9 s\n", "Wall time: 33.9 s\n" ] } ], "source": [ "%%time\n", "vol_prior = stats.multivariate_normal(\n", " mean=np.array([50.0, 3.0, 1.2 * 40 ** (1 / 3), 0.65]),\n", " cov=np.diag([7.0, 7.0, 0.2, 0.2]) ** 2,\n", ")\n", "\n", "\n", "def make_vol_sampler():\n", " return rxmc.param_sampling.BatchedAdaptiveMetropolisSampler(\n", " params=omp_vol.params,\n", " starting_location=vol_prior.mean,\n", " prior=vol_prior,\n", " initial_proposal_cov=vol_prior.cov / 100,\n", " )\n", "\n", "\n", "theta_prior_xs = stats.multivariate_normal(\n", " mean=np.zeros(c_vol_gp.n_params), cov=4.0 * np.eye(c_vol_gp.n_params)\n", ")\n", "\n", "walker_vol_plain = rxmc.walker.Walker(\n", " make_vol_sampler(), rxmc.evidence.Evidence([c_vol_plain]), rng=rng\n", ")\n", "walker_vol_gp = rxmc.walker.Walker(\n", " make_vol_sampler(),\n", " rxmc.evidence.Evidence([c_vol_gp]),\n", " likelihood_samplers=[\n", " make_nuisance_sampler(\n", " c_vol_gp.params, theta_prior_xs, 0.04 * np.eye(c_vol_gp.n_params)\n", " )\n", " ],\n", " rng=rng,\n", ")\n", "for w in (walker_vol_plain, walker_vol_gp):\n", " w.walk(n_steps=5000, burnin=1500, batch_size=500, verbose=False)" ] }, { "cell_type": "code", "execution_count": 13, "id": "0fcd16d6", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:08:58.713058Z", "iopub.status.busy": "2026-08-11T03:08:58.712866Z", "iopub.status.idle": "2026-08-11T03:08:59.631340Z", "shell.execute_reply": "2026-08-11T03:08:59.630582Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "no discrepancy Vv=32.20±1.17 Wv=22.95±0.67 Rv=4.28±0.05 av=0.66±0.01\n", "GP discrepancy Vv=44.56±2.89 Wv=17.74±1.27 Rv=4.17±0.14 av=0.60±0.05\n", "truth Vv=48.00 Wv=3.50 Rv=3.76 av=0.70\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for name, w in [\n", " (\"no discrepancy\", walker_vol_plain),\n", " (\"GP discrepancy\", walker_vol_gp),\n", "]:\n", " ch = w.model_sampler.chain\n", " print(\n", " f\"{name:16s} \"\n", " + \" \".join(\n", " f\"{p.name}={ch[:, i].mean():.2f}±{ch[:, i].std():.2f}\"\n", " for i, p in enumerate(omp_vol.params)\n", " )\n", " )\n", "print(\n", " \"truth \"\n", " + \" \".join(f\"{p.name}={v:.2f}\" for p, v in zip(omp_vol.params, volume_truth))\n", ")\n", "\n", "fig = corner.corner(\n", " walker_vol_gp.model_sampler.chain,\n", " labels=[p.name for p in omp_vol.params],\n", " truths=volume_truth,\n", " truth_color=\"k\",\n", " color=\"tab:blue\",\n", ")\n", "corner.corner(walker_vol_plain.model_sampler.chain, fig=fig, color=\"tab:red\")\n", "plt.plot([], [], color=\"tab:blue\", label=\"with GP discrepancy\")\n", "plt.plot([], [], color=\"tab:red\", label=\"no discrepancy\")\n", "fig.legend(loc=\"upper right\");" ] }, { "cell_type": "markdown", "id": "65f86f5a", "metadata": {}, "source": [ "## The learned discrepancy vs the missing physics\n", "\n", "Conditioning the GP on the posterior-mean residuals\n", "(`rxmc.predictive.gp_posterior_predictive`) recovers the smooth angular\n", "structure the deficient model cannot produce — compare it with the *true*\n", "defect, the difference between the full and volume-only potentials.\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "d4fb9bb3", "metadata": { "execution": { "iopub.execute_input": "2026-08-11T03:08:59.633011Z", "iopub.status.busy": "2026-08-11T03:08:59.632823Z", "iopub.status.idle": "2026-08-11T03:08:59.846393Z", "shell.execute_reply": "2026-08-11T03:08:59.845548Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mp_vol = walker_vol_gp.model_sampler.chain.mean(axis=0)\n", "theta_xs = walker_vol_gp.likelihood_samplers[0].chain.mean(axis=0)\n", "residuals_xs = obs_xs.y - omp_vol.evaluate(obs_xs, *mp_vol)\n", "\n", "angles_vis_rad = obs_xs.visualization_workspace.angles\n", "disc_mean, disc_cov = rxmc.predictive.gp_posterior_predictive(\n", " kernel_xs,\n", " theta_xs,\n", " obs_xs.x,\n", " residuals_xs,\n", " angles_vis_rad,\n", " train_noise_var=obs_xs.y_stat_err**2,\n", ")\n", "\n", "true_defect = omp_full.visualizable_model_prediction(\n", " obs_xs, *full_truth\n", ") - omp_vol.visualizable_model_prediction(obs_xs, *volume_truth)\n", "\n", "angles_vis_deg = np.rad2deg(angles_vis_rad)\n", "disc_std = np.sqrt(np.diag(disc_cov))\n", "plt.plot(angles_vis_deg, true_defect, \"k:\", label=\"true defect (full - volume)\")\n", "plt.plot(angles_vis_deg, disc_mean, color=\"tab:blue\", label=\"GP posterior mean\")\n", "plt.fill_between(\n", " angles_vis_deg,\n", " disc_mean - disc_std,\n", " disc_mean + disc_std,\n", " alpha=0.3,\n", " color=\"tab:blue\",\n", ")\n", "plt.plot(np.rad2deg(obs_xs.x), residuals_xs, \".\", color=\"gray\", label=\"residuals\")\n", "plt.xlabel(r\"$\\theta$ [deg]\")\n", "plt.ylabel(r\"$\\delta(d\\sigma/d\\Omega)$ [b/sr]\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "35d64f79", "metadata": {}, "source": [ "## Takeaways, continued\n", "\n", "- **Same API, real physics**: `kernel_term(kernel)` on a\n", " differential cross section works exactly as in the toy — the kernel just\n", " acts on the angle grid (radians), so its length scale is angular.\n", "- Without the discrepancy term the deficient potential's parameters must\n", " contort to mimic the missing surface absorption (note $V_v$ lands many\n", " $\\sigma$ from the truth, and $W_v$ inflates to play the role of $W_d$);\n", " with it, the GP absorbs the angle-correlated defect and the geometry\n", " parameters relax to the truth. $W_v$ remains partially biased — volume and\n", " surface absorption are genuinely degenerate at one energy, and no\n", " discrepancy model can restore information the data do not contain.\n", "- `rxmc.predictive.gp_posterior_predictive` reconstructs the learned\n", " discrepancy on any angle grid — useful for comparing against candidate\n", " missing-physics terms.\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }