from __future__ import annotations from pathlib import Path import gradio as gr import numpy as np import plotly.graph_objects as go from model import HamiltonianNetwork, VectorFieldNetwork from physics import true_energy from safetensors.torch import load_file from train import rollout ARTIFACT_DIR = Path(__file__).resolve().parent / "artifacts" / "hamiltonian-pocket" HAMILTONIAN = HamiltonianNetwork() HAMILTONIAN.load_state_dict( load_file(ARTIFACT_DIR / "hamiltonian.safetensors") ) HAMILTONIAN.eval() VECTOR_FIELD = VectorFieldNetwork() VECTOR_FIELD.load_state_dict( load_file(ARTIFACT_DIR / "vector_field.safetensors") ) VECTOR_FIELD.eval() def simulate(angle: float, momentum: float, seconds: float) -> tuple[go.Figure, dict]: initial = np.asarray([[angle, momentum]], dtype=np.float32) steps = int(float(seconds) / 0.05) trajectories = { "Physics": rollout(None, initial, steps, 0.05)[:, 0], "Hamiltonian network": rollout(HAMILTONIAN, initial, steps, 0.05)[:, 0], "Black-box vector field": rollout( VECTOR_FIELD, initial, steps, 0.05 )[:, 0], } figure = go.Figure() for name, trajectory in trajectories.items(): figure.add_trace( go.Scatter( x=trajectory[:, 0], y=trajectory[:, 1], mode="lines", name=name, ) ) figure.update_layout( title="Learned pendulum phase portrait", xaxis_title="Angle", yaxis_title="Momentum", template="plotly_dark", ) initial_energy = float(true_energy(initial)[0]) return figure, { name: { "final_energy": round(float(true_energy(path[-1:])[0]), 5), "absolute_energy_drift": round( abs(float(true_energy(path[-1:])[0]) - initial_energy), 5 ), } for name, path in trajectories.items() } with gr.Blocks(title="Hamiltonian Pocket") as demo: gr.Markdown( "# Hamiltonian Pocket\n" "Compare physics-structured and black-box neural dynamics over a long " "pendulum rollout." ) with gr.Row(): angle = gr.Slider(-3.0, 3.0, 1.5, step=0.1, label="Initial angle") momentum = gr.Slider(-2.0, 2.0, 0.3, step=0.1, label="Initial momentum") seconds = gr.Slider(2, 20, 10, step=1, label="Simulated seconds") run = gr.Button("Roll out dynamics", variant="primary") phase = gr.Plot() energy = gr.JSON() run.click(simulate, [angle, momentum, seconds], [phase, energy]) demo.load(simulate, [angle, momentum, seconds], [phase, energy]) if __name__ == "__main__": demo.launch()