File size: 7,277 Bytes
f771f94
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
from __future__ import annotations

import json
import math
from pathlib import Path

import numpy as np
import pandas as pd
import torch
import trackio
from model import ConditionalNeuralProcess, parameter_count
from safetensors.torch import save_file

PROJECT_DIR = Path(__file__).resolve().parent
ARTIFACT_DIR = PROJECT_DIR / "artifacts" / "neural-process-pocket"
DATA_DIR = PROJECT_DIR / "data"
SEED = 2141


def sample_tasks(
    tasks: int,
    context_points: int,
    target_points: int,
    seed: int,
) -> tuple[torch.Tensor, ...]:
    generator = torch.Generator().manual_seed(seed)
    amplitude = 0.1 + 4.9 * torch.rand(tasks, 1, 1, generator=generator)
    phase = 2 * math.pi * torch.rand(tasks, 1, 1, generator=generator)
    frequency = 0.8 + 0.4 * torch.rand(tasks, 1, 1, generator=generator)
    context_x = -5 + 10 * torch.rand(
        tasks, context_points, 1, generator=generator
    )
    target_x = -5 + 10 * torch.rand(tasks, target_points, 1, generator=generator)
    context_y = amplitude * torch.sin(frequency * context_x + phase)
    target_y = amplitude * torch.sin(frequency * target_x + phase)
    context_y += 0.03 * torch.randn(context_y.shape, generator=generator)
    return context_x, context_y, target_x, target_y, amplitude, phase, frequency


def gaussian_nll(
    mean: torch.Tensor,
    standard_deviation: torch.Tensor,
    target: torch.Tensor,
) -> torch.Tensor:
    variance = standard_deviation.square()
    return (
        0.5 * ((target - mean).square() / variance)
        + standard_deviation.log()
        + 0.5 * math.log(2 * math.pi)
    ).mean()


def rbf_gp(
    context_x: np.ndarray,
    context_y: np.ndarray,
    target_x: np.ndarray,
) -> tuple[np.ndarray, np.ndarray]:
    def kernel(left: np.ndarray, right: np.ndarray) -> np.ndarray:
        return np.exp(-0.5 * (left[:, None] - right[None, :]) ** 2)

    covariance = kernel(context_x, context_x) + np.eye(len(context_x)) * 0.01
    cross = kernel(context_x, target_x)
    solve_y = np.linalg.solve(covariance, context_y)
    mean = cross.T @ solve_y
    solve_cross = np.linalg.solve(covariance, cross)
    variance = 1.0 - np.sum(cross * solve_cross, axis=0)
    return mean, np.sqrt(np.clip(variance + 0.03**2, 0.03**2, None))


@torch.inference_mode()
def evaluate(model: ConditionalNeuralProcess, tasks: int = 500) -> tuple[dict, list]:
    context_x, context_y, target_x, target_y, amplitude, phase, frequency = sample_tasks(
        tasks, 5, 100, SEED + 20_000
    )
    mean, std = model(context_x, context_y, target_x)
    error = mean - target_y
    cnp = {
        "rmse": float(error.square().mean().sqrt()),
        "gaussian_nll": float(gaussian_nll(mean, std, target_y)),
        "coverage_90": float(
            ((target_y >= mean - 1.645 * std) & (target_y <= mean + 1.645 * std))
            .float()
            .mean()
        ),
    }
    gp_errors = []
    gp_nll = []
    gp_covered = []
    rows = []
    for index in range(tasks):
        cx = context_x[index, :, 0].numpy()
        cy = context_y[index, :, 0].numpy()
        tx = target_x[index, :, 0].numpy()
        ty = target_y[index, :, 0].numpy()
        gp_mean, gp_std = rbf_gp(cx, cy, tx)
        gp_errors.extend((gp_mean - ty).tolist())
        gp_nll.extend(
            (
                0.5 * ((ty - gp_mean) / gp_std) ** 2
                + np.log(gp_std)
                + 0.5 * np.log(2 * np.pi)
            ).tolist()
        )
        gp_covered.extend(
            ((ty >= gp_mean - 1.645 * gp_std) & (ty <= gp_mean + 1.645 * gp_std))
            .astype(float)
            .tolist()
        )
        rows.append(
            {
                "amplitude": float(amplitude[index, 0, 0]),
                "phase": float(phase[index, 0, 0]),
                "frequency": float(frequency[index, 0, 0]),
                "context_x": cx.tolist(),
                "context_y": cy.tolist(),
            }
        )
    gp_errors_array = np.asarray(gp_errors)
    report = {
        "conditional_neural_process": cnp,
        "fixed_rbf_gaussian_process": {
            "rmse": float(np.sqrt(np.mean(gp_errors_array**2))),
            "gaussian_nll": float(np.mean(gp_nll)),
            "coverage_90": float(np.mean(gp_covered)),
        },
        "tasks": tasks,
        "context_points_per_task": 5,
        "targets_per_task": 100,
    }
    return report, rows


def main() -> None:
    torch.manual_seed(SEED)
    torch.set_num_threads(1)
    model = ConditionalNeuralProcess()
    optimizer = torch.optim.AdamW(model.parameters(), lr=1e-3, weight_decay=1e-5)
    best = float("inf")
    best_state = None
    best_step = 0
    trackio.init(
        project="neural-process-pocket",
        name="conditional-neural-process-v1",
        config={
            "parameters": parameter_count(model),
            "training_steps": 5_000,
            "context_points": 5,
            "tasks_per_step": 64,
        },
    )
    for step in range(1, 5_001):
        context_x, context_y, target_x, target_y, *_ = sample_tasks(
            64, 5, 50, SEED + step
        )
        mean, std = model(context_x, context_y, target_x)
        loss = gaussian_nll(mean, std, target_y)
        optimizer.zero_grad(set_to_none=True)
        loss.backward()
        torch.nn.utils.clip_grad_norm_(model.parameters(), 5)
        optimizer.step()
        if step % 250 == 0:
            validation, _ = evaluate(model, tasks=100)
            validation_nll = validation["conditional_neural_process"]["gaussian_nll"]
            trackio.log(
                {
                    "training_step": step,
                    "training_nll": float(loss.detach()),
                    **{
                        f"validation_{key}": value
                        for key, value in validation[
                            "conditional_neural_process"
                        ].items()
                    },
                }
            )
            if validation_nll < best:
                best = validation_nll
                best_step = step
                best_state = {
                    name: value.detach().cpu().clone()
                    for name, value in model.state_dict().items()
                }
    assert best_state is not None
    model.load_state_dict(best_state)
    benchmark, rows = evaluate(model)
    report = {
        "model": "Neural Process Pocket",
        "parameters": parameter_count(model),
        "best_step": best_step,
        "benchmark": benchmark,
    }
    ARTIFACT_DIR.mkdir(parents=True, exist_ok=True)
    DATA_DIR.mkdir(parents=True, exist_ok=True)
    save_file(model.state_dict(), ARTIFACT_DIR / "model.safetensors")
    (ARTIFACT_DIR / "evaluation.json").write_text(
        json.dumps(report, indent=2), encoding="utf-8"
    )
    pd.DataFrame(rows).to_parquet(DATA_DIR / "heldout_tasks.parquet", index=False)
    trackio.log(
        {
            "test_rmse": benchmark["conditional_neural_process"]["rmse"],
            "test_nll": benchmark["conditional_neural_process"]["gaussian_nll"],
            "test_coverage_90": benchmark["conditional_neural_process"][
                "coverage_90"
            ],
        }
    )
    trackio.finish()
    print(json.dumps(report, indent=2))


if __name__ == "__main__":
    main()