diff --git a/docs/source/dynamical_slime.ipynb b/docs/source/dynamical_slime.ipynb new file mode 100644 index 00000000..a501b168 --- /dev/null +++ b/docs/source/dynamical_slime.ipynb @@ -0,0 +1,526 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Slime mold dynamical systems model\n", + "In this notebook, we will\n", + "- Write a (simple 1D) dynamical systems model of slime mold\n", + "- Simulate the slime mold model\n", + " - from known parameters\n", + " - from a Bayesian model with unknown parameters and measurement noise\n", + "- Use ChiRho to infer the model parameters from data\n", + "- Use ChiRho to infer what would happen if we intervene\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "# import packages\n", + "import pyro\n", + "import torch\n", + "import numpy as np\n", + "from chirho.dynamical.ops import State, simulate\n", + "from chirho.dynamical.handlers.solver import TorchDiffEq\n", + "from chirho.dynamical.handlers import LogTrajectory\n", + "from pyro.infer.autoguide import AutoMultivariateNormal\n", + "from chirho.observational.handlers import condition\n", + "from chirho.dynamical.handlers import StaticBatchObservation\n", + "from chirho.dynamical.handlers import StaticIntervention, InterruptionEventLoop\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Slime mold model, simulated from known parameters\n", + "Slime mold agents deposit pheromones, which diffuse and dissipate, and slime mold agents move toward higher pheromone concentrations. " + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "# Define the model\n", + "class SimpleSlimeDynamics(pyro.nn.PyroModule):\n", + "\n", + " # About the model\n", + " # B: the number of spatial bins\n", + " # D: the density of slime mold agents\n", + " # P: the density of pheromones\n", + " # dD/dt: slime mold follows pheromones\n", + " # dP/dt: pheromones are deposited by slime mold, then diffuse\n", + " # alpha: pheromone deposition rate\n", + " # beta_diffuse: pheromone diffusion rate\n", + " # beta_dissipate: pheromone dissipation rate\n", + " # r: slime mold following rate\n", + "\n", + " def __init__(self, B, alpha, beta_diffuse, beta_dissipate, r):\n", + " super().__init__() # inherit stuff from PyroModule\n", + " self.B = B\n", + " self.alpha = alpha / B\n", + " self.beta_diffuse = beta_diffuse / B\n", + " self.beta_dissipate = beta_dissipate / B\n", + " self.r = r / B\n", + "\n", + " @pyro.nn.pyro_method\n", + " def diff(self, dstate: State[torch.Tensor], state: State[torch.Tensor]) -> None:\n", + " deposition_term = self.alpha * state[\"D\"]\n", + " diffusion_term = self.beta_diffuse * (torch.roll(state[\"P\"], 1) + torch.roll(state[\"P\"], -1) - 2 * state[\"P\"])\n", + " dissipation_term = -self.beta_dissipate * state[\"P\"]\n", + " # take the log\n", + "\n", + " pheromone_right = torch.relu(torch.log(torch.roll(state[\"P\"], 1)) - torch.log(state[\"P\"]))\n", + " pheromone_left = torch.relu(torch.log(torch.roll(state[\"P\"], -1)) - torch.log(state[\"P\"]))\n", + " # pheromone_right = torch.relu(torch.roll(state[\"P\"], 1) - state[\"P\"])\n", + " # pheromone_left = torch.relu(torch.roll(state[\"P\"], -1) - state[\"P\"])\n", + "\n", + " slime_flux_right = self.r * pheromone_right * state[\"D\"]\n", + " slime_flux_left = self.r * pheromone_left * state[\"D\"]\n", + "\n", + " dstate[\"D\"] = torch.roll(slime_flux_right, -1) - slime_flux_right\n", + " dstate[\"D\"] += torch.roll(slime_flux_left, 1) - slime_flux_left\n", + " dstate[\"P\"] = deposition_term + diffusion_term + dissipation_term\n", + "\n", + "\n", + " def forward(self, state: State[torch.Tensor]) -> State[torch.Tensor]:\n", + " dstate = State()\n", + " self.diff(dstate, state)\n", + " return dstate\n", + " \n", + "# Plotting function\n", + "def show_trajectories(D_trajectory, P_trajectory):\n", + " plt.figure(figsize=(12, 6))\n", + "\n", + " # Heatmap for D\n", + " plt.subplot(1, 2, 1)\n", + " sns.heatmap(D_trajectory, cmap=\"viridis\", cbar_kws={'label': 'Slime mold concentration'})\n", + " plt.title('Heatmap of Slime Mold Density (D) over Time')\n", + " plt.xlabel('Time Step')\n", + " plt.ylabel('Spatial location')\n", + "\n", + " # Heatmap for P\n", + " plt.subplot(1, 2, 2)\n", + " sns.heatmap(P_trajectory, cmap=\"magma\", cbar_kws={'label': 'Pheromone concentration'})\n", + " plt.title('Heatmap of Pheromone Density (P) over Time')\n", + " plt.xlabel('Time Step')\n", + " plt.ylabel('Spatial location')\n", + "\n", + " plt.tight_layout()\n", + " plt.show()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Simulate the model\n", + "\n", + "# Set parameters\n", + "B = torch.tensor(50)\n", + "alpha = torch.tensor(.1)\n", + "beta_diffuse = torch.tensor(80)\n", + "beta_dissipate = torch.tensor(.5)\n", + "r = torch.tensor(600)\n", + "\n", + "# Set up the model\n", + "certain_model = SimpleSlimeDynamics(B, alpha, beta_diffuse, beta_dissipate, r)\n", + " \n", + "# Set up the initial state\n", + "with pyro.plate(\"bins\", B):\n", + " D_initial = pyro.sample(\"D_initial\", pyro.distributions.Uniform(0, 1))\n", + " P_initial = pyro.sample(\"P_initial\", pyro.distributions.Uniform(0, .1))\n", + "\n", + " # # put an abundance of pheromones on the right\n", + " # P_initial = torch.where(torch.arange(B) > B/2, P_initial * 100, P_initial)\n", + " # # put an abundance of slime on the left\n", + " # D_initial = torch.where(torch.arange(B) < B/2, D_initial * 100, D_initial)\n", + "initial_state = State(D=D_initial, P=P_initial)\n", + "\n", + "# Set up the trajectory\n", + "start_time = torch.tensor(0.0)\n", + "end_time = torch.tensor(20.0)\n", + "step_size = torch.tensor(1)\n", + "trajectory_times = torch.arange(start_time+step_size, end_time, step_size)\n", + "\n", + "# Simulate the model \n", + "with LogTrajectory(trajectory_times) as certain_lt:\n", + " final_state = simulate(certain_model, initial_state, start_time, end_time, solver=TorchDiffEq())\n", + "certain_trajectory = certain_lt.trajectory # we're calling it 'certain' because we're certain about the parameters (next step, we'll add uncertainty)\n", + "\n", + "# Plot the results\n", + "show_trajectories(certain_trajectory[\"D\"], certain_trajectory[\"P\"]) # Notice how the slime mold forms clumps" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bayesian slime mold model, for when you don't know the parameters\n", + "Add uncertainty over the model parameters and initial conditions" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Define the Bayesian model\n", + "class BayesianSimpleSlimeSimulator(pyro.nn.PyroModule):\n", + " def __init__(self, B, noise_sigma):\n", + " super().__init__() \n", + " self.B = B\n", + " self.noise_sigma = noise_sigma\n", + "\n", + "\n", + " def forward(self, start_time: torch.Tensor, end_time: torch.Tensor) -> State[torch.Tensor]:\n", + " # sample model params from the prior\n", + " alpha = pyro.sample(\"alpha\", pyro.distributions.Uniform(0, 5))\n", + " beta_diffuse = pyro.sample(\"beta_diffuse\", pyro.distributions.Uniform(0, 1000))\n", + " beta_dissipate = pyro.sample(\"beta_dissipate\", pyro.distributions.Uniform(0, 5))\n", + " r = pyro.sample(\"r\", pyro.distributions.Uniform(0, 1000))\n", + " model = SimpleSlimeDynamics(self.B, alpha, beta_diffuse, beta_dissipate, r)\n", + "\n", + " # sample the initial conditions from the prior\n", + " with pyro.plate(\"bins\", B):\n", + " D_initial = pyro.sample(\"D_initial\", pyro.distributions.Uniform(0, 1))\n", + " P_initial = pyro.sample(\"P_initial\", pyro.distributions.Uniform(0, .1))\n", + " initial_state = State(D=D_initial, P=P_initial)\n", + "\n", + " # simulate the model\n", + " return simulate(model, initial_state, start_time, end_time, solver=TorchDiffEq())\n", + "\n", + "# Simulate a random trajectory from a random model\n", + "uncertain_model = BayesianSimpleSlimeSimulator(B, noise_sigma=0.01)\n", + "\n", + "with LogTrajectory(trajectory_times) as uncertain_lt:\n", + " final_state = uncertain_model(start_time, end_time)\n", + "uncertain_trajectory = uncertain_lt.trajectory # we're calling it 'uncertain' because we're uncertain about the parameters\n", + "\n", + "# Plot the results\n", + "show_trajectories(uncertain_trajectory[\"D\"], uncertain_trajectory[\"P\"]) # Run a few times, notice how different it looks each time, since the parameters are different each time" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Use ChiRho to infer model parameters\n", + "First, we'll simulate some data from known parameters. In the simulated experiment, we measure the D and P at times 1 and 19, and there's some measurement noise.\n", + "\n", + "Next, we'll use this data to condition the model. We'll infer the posterior distribution with SVI (stochastic variational inference), and check if this matches the true parameters." + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Define the measurement model: there's some noise in the measurements\n", + "class MeasureSlime(pyro.nn.PyroModule):\n", + " def __init__(self, noise_sigma):\n", + " super().__init__()\n", + " self.noise_sigma = noise_sigma # the standard deviation of the measurement noise\n", + "\n", + " def forward(self, state: State[torch.Tensor]) -> None:\n", + " pyro.sample(\"observed_D\", pyro.distributions.Normal(state[\"D\"], self.noise_sigma).to_event(2)) # to_event(2) means that the distribution is over the last two dimensions, which are space and time\n", + " pyro.sample(\"observed_P\", pyro.distributions.Normal(state[\"P\"], self.noise_sigma/100).to_event(2))\n", + "\n", + "# make synthetic data, by adding measurement noise to the (certain, not Bayesian) trajectory\n", + "noise_sigma = torch.tensor(0.1)\n", + "measure_slime = MeasureSlime(noise_sigma)\n", + "measured_trajectory = State(**{k:v.squeeze() for k, v in pyro.infer.Predictive(measure_slime, num_samples=1)(certain_trajectory).items()})\n", + "show_trajectories(measured_trajectory[\"observed_D\"], measured_trajectory[\"observed_P\"])\n", + "\n", + "# restrict measurement to just time 1 and time 19\n", + "np.shape(measured_trajectory[\"observed_D\"])\n", + "measurement_times_snapshots = trajectory_times[[0, 18]]\n", + "measured_trajectory_snapshots = measured_trajectory.copy()\n", + "measured_trajectory_snapshots[\"observed_D\"] = measured_trajectory_snapshots[\"observed_D\"][:, [0, 18]]\n", + "measured_trajectory_snapshots[\"observed_P\"] = measured_trajectory_snapshots[\"observed_P\"][:, [0, 18]]" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[iteration 0001] loss: 3762.5432\n", + "[iteration 0010] loss: 3714.7107\n", + "[iteration 0020] loss: 3531.3638\n", + "[iteration 0030] loss: 3403.1826\n", + "[iteration 0040] loss: 1039.6041\n", + "[iteration 0050] loss: 3254.1792\n", + "[iteration 0060] loss: 878.7326\n", + "[iteration 0070] loss: 805.3286\n", + "[iteration 0080] loss: 841.8149\n", + "[iteration 0090] loss: 760.7443\n", + "[iteration 0100] loss: 682.8114\n", + "[iteration 0110] loss: 654.6840\n", + "[iteration 0120] loss: 705.2939\n", + "[iteration 0130] loss: 573.1598\n", + "[iteration 0140] loss: 602.7696\n", + "[iteration 0150] loss: 566.7739\n", + "[iteration 0160] loss: 466.0521\n", + "[iteration 0170] loss: 615.7338\n", + "[iteration 0180] loss: 409.0757\n", + "[iteration 0190] loss: 510.9975\n", + "[iteration 0200] loss: 419.4773\n", + "[iteration 0210] loss: 305.3567\n", + "[iteration 0220] loss: 283.9821\n", + "[iteration 0230] loss: 428.5620\n", + "[iteration 0240] loss: 257.4896\n", + "[iteration 0250] loss: 252.7767\n", + "[iteration 0260] loss: 327.0881\n", + "[iteration 0270] loss: 240.5458\n", + "[iteration 0280] loss: 356.4518\n", + "[iteration 0290] loss: 283.9004\n", + "[iteration 0300] loss: 268.8519\n", + "[iteration 0310] loss: 281.5857\n", + "[iteration 0320] loss: 246.6807\n", + "[iteration 0330] loss: 171.1242\n", + "[iteration 0340] loss: 242.4360\n", + "[iteration 0350] loss: 333.0956\n", + "[iteration 0360] loss: 1715.1523\n", + "[iteration 0370] loss: 1906.0599\n", + "[iteration 0380] loss: 1950.2292\n", + "[iteration 0390] loss: 1613.9062\n", + "[iteration 0400] loss: 1584.1833\n", + "[iteration 0410] loss: 1616.7908\n", + "[iteration 0420] loss: 1681.8932\n", + "[iteration 0430] loss: 4174.0430\n", + "[iteration 0440] loss: 3593.6558\n", + "[iteration 0450] loss: 3590.9238\n", + "[iteration 0460] loss: 1562.5281\n", + "[iteration 0470] loss: 6003.0337\n", + "[iteration 0480] loss: 1429.5748\n", + "[iteration 0490] loss: 1337.8663\n", + "[iteration 0500] loss: 1339.6439\n" + ] + } + ], + "source": [ + "# use ChiRho to infer the parameters of the model, conditioned on the measurements\n", + "\n", + "# A function to condition the model on the measurements \n", + "def conditioned_simulation(start_time, end_time, measurement_times, measured_trajectory): # TODO: suppose we only have measurements at certain times, not all times\n", + " obs = condition(data=measured_trajectory)(measure_slime)\n", + " with StaticBatchObservation(measurement_times, observation=obs): \n", + " uncertain_model(start_time, end_time)\n", + "\n", + "# Define a helper function to run SVI. \n", + "def run_svi_inference(model, n_steps=500, verbose=True, lr=.02, vi_family=AutoMultivariateNormal, guide=None, **model_kwargs):\n", + " if guide is None:\n", + " guide = vi_family(model)\n", + " elbo = pyro.infer.Trace_ELBO()(model, guide)\n", + " # initialize parameters\n", + " elbo(**model_kwargs)\n", + " adam = torch.optim.Adam(elbo.parameters(), lr=lr)\n", + " # Do gradient steps\n", + " for step in range(1, n_steps + 1):\n", + " adam.zero_grad()\n", + " loss = elbo(**model_kwargs)\n", + " loss.backward()\n", + " adam.step()\n", + " if (step % 10 == 0) or (step == 1) & verbose:\n", + " print(\"[iteration %04d] loss: %.4f\" % (step, loss))\n", + " return guide\n", + "\n", + "# Run SVI \n", + "guide = run_svi_inference(conditioned_simulation, start_time=start_time, end_time=end_time, measurement_times=measurement_times_snapshots, measured_trajectory=measured_trajectory_snapshots)\n", + "# Note: guide() is a random function that contains the posterior distribution on inferred parameters. Predictive uses these to sample the trajectory. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Check if true params match inferred posterior dist of params\n", + "\n", + "# a function to allow us to get the results of the simulation in the pyro trace, and accessible from the posterior predictive.\n", + "def uncertain_model_trajectory(start_time, end_time, measurement_times):\n", + " with LogTrajectory(measurement_times) as lt:\n", + " uncertain_model(start_time, end_time)\n", + " trajectory = lt.trajectory\n", + " [pyro.deterministic(k, v) for k, v in trajectory.items()]\n", + "\n", + "# Sample from the posterior\n", + "predictions = pyro.infer.Predictive(uncertain_model_trajectory, guide=guide, num_samples=100)(start_time, end_time, trajectory_times)\n", + "\n", + "# Plot the results\n", + "true_params = {\"alpha\": alpha, \"beta_diffuse\": beta_diffuse, \"beta_dissipate\": beta_dissipate, \"r\": r}\n", + "prior_param_ranges = {\"alpha\": [0, 5], \"beta_diffuse\": [0, 1000], \"beta_dissipate\": [0, 5], \"r\": [0, 1000]}\n", + "\n", + "for param in true_params:\n", + " # show a histogram of the inferred values\n", + " plt.figure()\n", + " plt.title(param)\n", + " plt.hist(predictions[param].detach().numpy().squeeze())\n", + " plt.vlines(true_params[param], ymin=0,ymax=1, color=\"red\", label=\"true\")\n", + " plt.xlim(prior_param_ranges[param])\n", + " plt.legend()\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Use ChiRho to infer what would happen if we intervened\n", + "Given our observations from t = 0 and 19, and parameters inferred from this, what would happen to the pheromones if all the slime died at timepoint 10?" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# define an intervened model\n", + "def intervened_uncertain_model_trajectory(start_time, end_time, measurement_times, intervene_time: torch.Tensor, intervene_state: State[torch.Tensor]):\n", + " with InterruptionEventLoop():\n", + " with StaticIntervention(intervene_time, intervene_state):\n", + " uncertain_model_trajectory(start_time, end_time, measurement_times)\n", + "\n", + "# intervened predictions. Note: we can use the same guide that we already fit. \n", + "# Set up the trajectory\n", + "start_time_for_intervened = torch.tensor(0.0)\n", + "end_time_for_intervened = torch.tensor(30.0)\n", + "step_size_for_intervened = torch.tensor(1)\n", + "trajectory_times_for_intervened = torch.arange(start_time_for_intervened+step_size_for_intervened, end_time_for_intervened, step_size_for_intervened)\n", + "intervene_time = torch.tensor(10.0)\n", + "intervene_state = State(D=torch.zeros(B)) # intervene by killing all slime, leave pheromone alone. Alternatively, we could intervene by cleaning all pheromone, leaving slime\n", + "intervened_predictions = pyro.infer.Predictive(intervened_uncertain_model_trajectory, guide=guide, num_samples=1)(start_time_for_intervened, end_time_for_intervened, trajectory_times_for_intervened, intervene_time, intervene_state)\n", + "intervened_trajectory_D = intervened_predictions[\"D\"].squeeze() # predictive returns a collection of predictions\n", + "intervened_trajectory_P = intervened_predictions[\"P\"].squeeze()\n", + "show_trajectories(intervened_trajectory_D, intervened_trajectory_P) # notice how the slime mold is still clumped, but the pheromones are gone" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "chirho", + "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": "3.11.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}