from __future__ import annotations import json from pathlib import Path import gradio as gr import plotly.graph_objects as go import torch from model import CalibratedDiscreteTransition, NeuralVectorField from safetensors.torch import load_file from train import rollout, true_rollout ARTIFACT_DIR = Path(__file__).resolve().parent / "artifacts" / "neural-ode-pocket" ODE = NeuralVectorField() ODE.load_state_dict(load_file(ARTIFACT_DIR / "neural_ode_rk4.safetensors")) ODE.eval() DISCRETE = CalibratedDiscreteTransition() DISCRETE.load_state_dict( load_file(ARTIFACT_DIR / "discrete_transition.safetensors") ) DISCRETE.eval() REPORT = json.loads((ARTIFACT_DIR / "evaluation.json").read_text(encoding="utf-8")) @torch.inference_mode() def phase_portrait( initial_x: float, initial_velocity: float, delta_time: float, physical_time: float, ) -> tuple[go.Figure, dict]: initial = torch.tensor([[initial_x, initial_velocity]], dtype=torch.float32) steps = max(1, int(physical_time / delta_time)) truth = true_rollout(initial, delta_time, steps)[0] ode = rollout(ODE, initial, delta_time, steps, continuous=True)[0] discrete = rollout(DISCRETE, initial, delta_time, steps, continuous=False)[0] figure = go.Figure() figure.add_trace(go.Scatter(x=truth[:, 0], y=truth[:, 1], name="True")) figure.add_trace(go.Scatter(x=ode[:, 0], y=ode[:, 1], name="Neural ODE")) figure.add_trace( go.Scatter(x=discrete[:, 0], y=discrete[:, 1], name="Discrete model") ) figure.update_layout( template="plotly_dark", title="Van der Pol phase portrait", xaxis_title="Position", yaxis_title="Velocity", ) metrics = { "steps": steps, "neural_ode_live_rmse": float((ode - truth).square().mean().sqrt()), "discrete_live_rmse": float((discrete - truth).square().mean().sqrt()), "verified_unseen_dt_ode_rmse": REPORT["results"]["neural_ode_rk4"][ "unseen_four_x_timestep" ]["trajectory_rmse"], } return figure, metrics with gr.Blocks(title="Neural ODE Pocket") as demo: gr.Markdown( "# Neural ODE Pocket\n" "Compare a learned continuous vector field integrated with RK4 against an " "exactly parameter-matched discrete transition network." ) with gr.Row(): initial_x = gr.Slider(-3, 3, value=2.0, step=0.1, label="Initial position") initial_v = gr.Slider(-3, 3, value=0.0, step=0.1, label="Initial velocity") dt = gr.Slider(0.05, 0.20, value=0.20, step=0.05, label="Timestep") duration = gr.Slider(5, 30, value=20, step=1, label="Physical time") initial = phase_portrait(2.0, 0.0, 0.20, 20) chart = gr.Plot(value=initial[0]) metrics = gr.JSON(value=initial[1]) button = gr.Button("Integrate dynamics", variant="primary") button.click( phase_portrait, inputs=[initial_x, initial_v, dt, duration], outputs=[chart, metrics], ) if __name__ == "__main__": demo.launch()