{ "cells": [ { "cell_type": "markdown", "id": "110ec90a", "metadata": {}, "source": [ "# Toy Models Overview\n", "\n", "This notebook demonstrates all five toy models available in `psiphy.toy_models`.\n", "Each model exposes the same minimal interface:\n", "\n", "```python\n", "theta = model.sample_prior() # draw from prior\n", "x = model.simulate(theta) # forward simulation\n", "lp = model.log_prob(theta, x) # log-likelihood (None if intractable)\n", "```\n", "\n", "Models with an analytic likelihood (`log_prob` is not None) can be used directly\n", "with MCMC samplers (e.g. emcee, dynesty) as well as Fisher forecasting.\n", "Models with an intractable likelihood are intended for likelihood-free / SBI methods.\n", "\n", "Models covered:\n", "1. **GaussianSignal** — 1-D Gaussian, analytic posterior\n", "2. **NoisyLine** — linear model with Gaussian noise, analytic likelihood\n", "3. **MA2Model** — Moving Average(2) process, standard LFI benchmark\n", "4. **PowerLawSpectrum** — CMB-like power-law spectrum, analytic likelihood\n", "5. **LotkaVolterra** — predator-prey ODE, analytic Gaussian likelihood" ] }, { "cell_type": "code", "execution_count": 1, "id": "473175c3", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import norm\n", "\n", "from psiphy.toy_models import GaussianSignal, NoisyLine, MA2Model, PowerLawSpectrum\n", "\n", "rng = np.random.default_rng(42)\n", "np.random.seed(42)" ] }, { "cell_type": "markdown", "id": "3bb2e706", "metadata": {}, "source": [ "---\n", "## 1 GaussianSignal\n", "\n", "Parameterised 1-D Gaussian: $x_i \\sim \\mathcal{N}(\\mu, \\sigma^2)$.\n", "\n", "Parameters: `theta = [mean, sigma]`.\n", "\n", "Analytic likelihood makes this suitable for **MCMC**, Fisher forecasting, and SBI sanity checks." ] }, { "cell_type": "code", "execution_count": 2, "id": "629897cf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "theta_true : [1.5 0.8]\n", "x_obs : mean=1.325, std=0.753\n", "log_prob : -46.49\n" ] } ], "source": [ "gs = GaussianSignal(N=40)\n", "theta_true = np.array([1.5, 0.8]) # [mean, sigma]\n", "\n", "x_obs = gs.simulate(theta_true)\n", "print(f\"theta_true : {theta_true}\")\n", "print(f\"x_obs : mean={x_obs.mean():.3f}, std={x_obs.std():.3f}\")\n", "print(f\"log_prob : {gs.log_prob(theta_true, x_obs):.2f}\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "27474690", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Analytic posterior on mean (sigma plugged in)\n", "post_mean, post_sigma = gs.analytic_posterior(x_obs)\n", "\n", "mu_grid = np.linspace(0.5, 2.5, 400)\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 3.5))\n", "\n", "axes[0].hist(x_obs, bins=12, density=True, alpha=0.6, label=\"simulated data\")\n", "x_plot = np.linspace(x_obs.min() - 1, x_obs.max() + 1, 300)\n", "axes[0].plot(x_plot, norm.pdf(x_plot, *theta_true), \"k-\", label=r\"true $\\mathcal{N}$\")\n", "axes[0].set(xlabel=\"x\", title=\"GaussianSignal — data histogram\")\n", "axes[0].legend()\n", "\n", "axes[1].plot(mu_grid, norm.pdf(mu_grid, post_mean, post_sigma), label=\"analytic posterior\")\n", "axes[1].axvline(theta_true[0], ls=\"--\", c=\"k\", label=\"true mean\")\n", "axes[1].set(xlabel=r\"$\\mu$\", title=\"Posterior on mean\")\n", "axes[1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "id": "102ec715", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Log-likelihood surface over (mean, sigma)\n", "mean_grid = np.linspace(0.5, 2.5, 80)\n", "sigma_grid = np.linspace(0.3, 1.5, 80)\n", "MM, SS = np.meshgrid(mean_grid, sigma_grid)\n", "\n", "loglike = np.array([\n", " gs.log_prob([m, s], x_obs)\n", " for m, s in zip(MM.ravel(), SS.ravel())\n", "]).reshape(MM.shape)\n", "\n", "fig, ax = plt.subplots(figsize=(5, 4))\n", "c = ax.contourf(MM, SS, loglike, levels=20, cmap=\"viridis\")\n", "plt.colorbar(c, ax=ax, label=\"log-likelihood\")\n", "ax.scatter(*theta_true, c=\"red\", zorder=5, s=80, label=\"true theta\")\n", "ax.set(xlabel=r\"$\\mu$\", ylabel=r\"$\\sigma$\", title=\"GaussianSignal — log-likelihood surface\")\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "14209bc6", "metadata": {}, "source": [ "---\n", "## 2 NoisyLine\n", "\n", "Linear model: $y_i = m\\,x_i + c + \\varepsilon_i$, $\\varepsilon_i \\sim \\mathcal{N}(0,\\sigma^2)$.\n", "\n", "Parameters: `theta = [slope, intercept]`.\n", "\n", "Analytic likelihood suitable for **MCMC** and Fisher matrix tutorials." ] }, { "cell_type": "code", "execution_count": 5, "id": "128819b7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "theta_true : [-0.8 5. ]\n", "log_prob : -36.25\n" ] } ], "source": [ "nl = NoisyLine(Nx=60, noise_sigma=0.5)\n", "theta_true = np.array([-0.8, 5.0]) # [slope, intercept]\n", "\n", "y_obs = nl.simulate(theta_true)\n", "print(f\"theta_true : {theta_true}\")\n", "print(f\"log_prob : {nl.log_prob(theta_true, y_obs):.2f}\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "5eb2fa56", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Log-likelihood surface\n", "slope_grid = np.linspace(-2, 0.5, 80)\n", "intercept_grid = np.linspace(3, 7, 80)\n", "SL, IC = np.meshgrid(slope_grid, intercept_grid)\n", "\n", "loglike_nl = np.array([\n", " nl.log_prob([s, i], y_obs)\n", " for s, i in zip(SL.ravel(), IC.ravel())\n", "]).reshape(SL.shape)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", "\n", "axes[0].scatter(nl.x, y_obs, s=15, alpha=0.7, label=\"data\")\n", "x_fit = np.array([nl.x.min(), nl.x.max()])\n", "axes[0].plot(x_fit, theta_true[0]*x_fit + theta_true[1], \"r-\", label=\"true line\")\n", "axes[0].set(xlabel=\"x\", ylabel=\"y\", title=\"NoisyLine — data\")\n", "axes[0].legend()\n", "\n", "c = axes[1].contourf(SL, IC, loglike_nl, levels=20, cmap=\"plasma\")\n", "plt.colorbar(c, ax=axes[1], label=\"log-likelihood\")\n", "axes[1].scatter(*theta_true, c=\"cyan\", zorder=5, s=80, label=\"true theta\")\n", "axes[1].set(xlabel=\"slope\", ylabel=\"intercept\", title=\"NoisyLine — log-likelihood surface\")\n", "axes[1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7694e1f3", "metadata": {}, "source": [ "---\n", "## 3 MA2Model\n", "\n", "Moving Average(2) process: $x_t = w_t + \\theta_1 w_{t-1} + \\theta_2 w_{t-2}$.\n", "\n", "Standard LFI benchmark because the likelihood is intractable — use with\n", "ABC, SBI, or ABC-MCMC (likelihood-free MCMC) methods.\n", "Summary statistics: `[mean, variance, lag-1 autocov, lag-2 autocov]`.\n", "\n", "Parameters: `theta = [theta_1, theta_2]` (constrained to the MA(2) invertibility region)." ] }, { "cell_type": "code", "execution_count": 7, "id": "a43296ab", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "theta_true : [0.6 0.2]\n", "summary stats: [0.0664 1.4959 0.8529 0.2542] (mean, var, lag-1, lag-2)\n", "log_prob : None (intractable)\n" ] } ], "source": [ "ma2 = MA2Model(n_obs=200)\n", "theta_true = np.array([0.6, 0.2]) # [theta_1, theta_2]\n", "\n", "x_raw = ma2.simulate_raw(theta_true)\n", "x_summ = ma2.simulate(theta_true)\n", "print(f\"theta_true : {theta_true}\")\n", "print(f\"summary stats: {x_summ.round(4)} (mean, var, lag-1, lag-2)\")\n", "print(f\"log_prob : {ma2.log_prob(theta_true, x_summ)} (intractable)\")" ] }, { "cell_type": "code", "execution_count": 8, "id": "82c97df1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Theoretical lag-k autocov of MA(2): c(0)=1+t1^2+t2^2, c(1)=t1+t1*t2, c(2)=t2\n", "t1, t2 = theta_true\n", "c0 = 1 + t1**2 + t2**2\n", "theory_lag1 = (t1 + t1*t2) / c0\n", "theory_lag2 = t2 / c0\n", "\n", "# Visualise prior samples in (theta_1, theta_2) space and time series\n", "prior_samples = np.array([ma2.sample_prior() for _ in range(1000)])\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", "\n", "axes[0].plot(x_raw, lw=0.8, c=\"steelblue\", label=\"observed series\")\n", "axes[0].axhline(0, c=\"k\", lw=0.5)\n", "axes[0].set(xlabel=\"t\", ylabel=r\"$x_t$\", title=\"MA(2) — raw time series\")\n", "axes[0].legend()\n", "\n", "axes[1].scatter(prior_samples[:, 0], prior_samples[:, 1],\n", " s=4, alpha=0.4, c=\"steelblue\", label=\"prior samples\")\n", "axes[1].scatter(*theta_true, c=\"red\", zorder=5, s=80, label=\"true theta\")\n", "axes[1].set(xlabel=r\"$\\theta_1$\", ylabel=r\"$\\theta_2$\",\n", " title=\"MA(2) — invertibility region\")\n", "axes[1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "bf11fa9b", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Distribution of summary statistics across prior samples\n", "n_sim = 500\n", "summ_samples = np.array([ma2.simulate(ma2.sample_prior()) for _ in range(n_sim)])\n", "summ_obs = ma2.simulate(theta_true)\n", "\n", "labels = [\"mean\", \"variance\", \"lag-1 autocov\", \"lag-2 autocov\"]\n", "fig, axes = plt.subplots(1, 4, figsize=(14, 3))\n", "for ax, col, lab in zip(axes, summ_samples.T, labels):\n", " ax.hist(col, bins=30, density=True, alpha=0.6)\n", " ax.axvline(summ_obs[labels.index(lab)], c=\"red\", lw=1.5, label=\"observed\")\n", " ax.set(title=lab)\n", " ax.legend(fontsize=8)\n", "plt.suptitle(\"MA(2) — summary statistics across prior\", y=1.02)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a95decd5", "metadata": {}, "source": [ "---\n", "## 4 PowerLawSpectrum\n", "\n", "Simple CMB-like power-law angular power spectrum:\n", "\n", "$$C_\\ell = A_s \\left(\\frac{\\ell}{\\ell_\\text{pivot}}\\right)^{n_s - 1}$$\n", "\n", "with independent Gaussian noise on each band power.\n", "\n", "Parameters: `theta = [A_s, n_s]`.\n", "\n", "Analytic likelihood suitable for **MCMC** and cosmological Fisher forecasting." ] }, { "cell_type": "code", "execution_count": 10, "id": "37abc983", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "theta_true : [1. 0.965]\n", "log_prob : 31.30\n" ] } ], "source": [ "ps = PowerLawSpectrum(noise_sigma=0.05)\n", "theta_true = np.array([1.0, 0.965]) # [A_s, n_s] (Planck-like n_s)\n", "\n", "x_obs = ps.simulate(theta_true)\n", "print(f\"theta_true : {theta_true}\")\n", "print(f\"log_prob : {ps.log_prob(theta_true, x_obs):.2f}\")" ] }, { "cell_type": "code", "execution_count": 11, "id": "3b5aeffb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Log-likelihood surface\n", "As_grid = np.linspace(0.7, 1.3, 80)\n", "ns_grid = np.linspace(0.92, 1.00, 80)\n", "AS, NS = np.meshgrid(As_grid, ns_grid)\n", "\n", "loglike_ps = np.array([\n", " ps.log_prob([a, n], x_obs)\n", " for a, n in zip(AS.ravel(), NS.ravel())\n", "]).reshape(AS.shape)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", "\n", "C_true = ps._spectrum(theta_true)\n", "axes[0].plot(ps.ells, C_true, \"k-\", label=\"true spectrum\")\n", "axes[0].scatter(ps.ells, x_obs, s=20, c=\"C0\", zorder=5, label=\"noisy observations\")\n", "axes[0].set(xlabel=r\"$\\ell$\", ylabel=r\"$C_\\ell$\",\n", " title=\"PowerLawSpectrum — band powers\", xscale=\"log\", yscale=\"log\")\n", "axes[0].legend()\n", "\n", "c = axes[1].contourf(AS, NS, loglike_ps, levels=20, cmap=\"inferno\")\n", "plt.colorbar(c, ax=axes[1], label=\"log-likelihood\")\n", "axes[1].scatter(*theta_true, c=\"cyan\", zorder=5, s=80, label=\"true theta\")\n", "axes[1].set(xlabel=r\"$A_s$\", ylabel=r\"$n_s$\",\n", " title=\"PowerLawSpectrum — log-likelihood surface\")\n", "axes[1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "db3f19b9", "metadata": {}, "source": [ "---\n", "## 5 LotkaVolterra\n", "\n", "Predator-prey ODE system with Gaussian noise on observations:\n", "\n", "$$\n", "\\frac{dx}{dt} = \\alpha x - \\beta x y, \\qquad\n", "\\frac{dy}{dt} = \\delta x y - \\gamma y\n", "$$\n", "\n", "Parameters: `theta = [alpha, beta, delta, gamma]`.\n", "\n", "Analytic Gaussian likelihood enables **MCMC** sampling and Fisher forecasting.\n", "Non-linear dynamics also make it a useful SBI benchmark." ] }, { "cell_type": "code", "execution_count": 12, "id": "735a08ca", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "theta_true : [1. 0.1 0.075 1.5 ]\n", "log_prob : -18.09\n" ] } ], "source": [ "from psiphy.toy_models import LotkaVolterra\n", "\n", "lv = LotkaVolterra(noise_sigma=0.5)\n", "theta_true = np.array([1.0, 0.1, 0.075, 1.5]) # [alpha, beta, delta, gamma]\n", "\n", "x_obs = lv.simulate(theta_true)\n", "traj = lv.noiseless(theta_true) # shape (2, n_obs)\n", "print(f\"theta_true : {theta_true}\")\n", "print(f\"log_prob : {lv.log_prob(theta_true, x_obs):.2f}\")" ] }, { "cell_type": "code", "execution_count": 13, "id": "83187336", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_obs = len(lv.t_obs)\n", "prey_obs = x_obs[:n_obs]\n", "pred_obs = x_obs[n_obs:]\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", "\n", "# --- time series ---\n", "axes[0].plot(lv.t_obs, traj[0], \"C0-\", lw=2, label=\"prey (noiseless)\")\n", "axes[0].plot(lv.t_obs, traj[1], \"C1-\", lw=2, label=\"predator (noiseless)\")\n", "axes[0].scatter(lv.t_obs, prey_obs, s=20, c=\"C0\", zorder=5)\n", "axes[0].scatter(lv.t_obs, pred_obs, s=20, c=\"C1\", zorder=5)\n", "axes[0].set(xlabel=\"time\", ylabel=\"population\",\n", " title=\"Lotka-Volterra — time series\")\n", "axes[0].legend()\n", "\n", "# --- phase portrait ---\n", "axes[1].plot(traj[0], traj[1], \"k-\", lw=1.5, label=\"noiseless orbit\")\n", "axes[1].scatter(prey_obs, pred_obs, s=15, c=lv.t_obs, cmap=\"viridis\", zorder=5)\n", "axes[1].scatter(*traj[:, 0], c=\"green\", s=80, zorder=6, label=\"start\")\n", "axes[1].set(xlabel=\"prey\", ylabel=\"predator\",\n", " title=\"Lotka-Volterra — phase portrait\")\n", "axes[1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "id": "b0b1d354", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Prior predictive: how much do trajectories vary across the prior?\n", "fig, ax = plt.subplots(figsize=(8, 4))\n", "\n", "for _ in range(30):\n", " theta = lv.sample_prior()\n", " traj_i = lv.noiseless(theta)\n", " if traj_i is not None:\n", " ax.plot(lv.t_obs, traj_i[0], alpha=0.3, lw=0.8, c=\"C0\")\n", " ax.plot(lv.t_obs, traj_i[1], alpha=0.3, lw=0.8, c=\"C1\")\n", "\n", "ax.plot(lv.t_obs, traj[0], \"C0-\", lw=2.5, label=\"prey — true theta\")\n", "ax.plot(lv.t_obs, traj[1], \"C1-\", lw=2.5, label=\"predator — true theta\")\n", "ax.set(xlabel=\"time\", ylabel=\"population\",\n", " title=\"Lotka-Volterra — prior predictive (30 draws)\")\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "48d8bff0", "metadata": {}, "source": [ "---\n", "## Summary\n", "\n", "| Model | Parameters | Analytic likelihood | Typical use |\n", "|---|---|---|---|\n", "| `GaussianSignal` | mean, sigma | yes | MCMC, Fisher, SBI sanity checks |\n", "| `NoisyLine` | slope, intercept | yes | MCMC, Fisher matrix tutorials |\n", "| `MA2Model` | theta_1, theta_2 | no (intractable) | ABC-MCMC, LFI / SBI benchmarks |\n", "| `PowerLawSpectrum` | A_s, n_s | yes | MCMC, cosmological Fisher forecasts |\n", "| `LotkaVolterra` | alpha, beta, delta, gamma | yes | MCMC, dynamical-system SBI / Fisher |" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "name": "python", "version": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 5 }