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
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
|
#!/usr/bin/env python3
"""Run the paired digital CLLN size ladder under component imperfection."""
from __future__ import annotations
import argparse
from concurrent.futures import ProcessPoolExecutor, as_completed
import json
from pathlib import Path
import sys
import time
import numpy as np
ROOT = Path(__file__).resolve().parents[1]
sys.path.insert(0, str(ROOT))
from sdil.coupled_ladder import ( # noqa: E402
DigitalTrainingConfig,
make_scaled_grid,
solve_linear_grid_state,
tile_figure5_gates,
train_digital_grid,
)
from sdil.physical_grid import ( # noqa: E402
GridSquareLawImperfection,
RingClassificationDataset,
edge_voltage_drops,
)
METHODS = (
"clean",
"matched_noise",
"raw",
"constant",
"sdil",
"overclamp_clean",
"overclamp",
"overclamp_sdil",
)
def select_tasks(protocol: dict, rotations: int) -> list[dict]:
if rotations < 1 or rotations > 8:
raise ValueError("rotations must be between one and eight")
standard = [
record for record in protocol["experiments"]
if record["method"] == "standard"
]
selected = []
for diameter in protocol["protocol_checks"]["input_diameters_v"]:
candidates = sorted(
(
record for record in standard
if abs(record["input_diameter_v"] - diameter) < 1e-12
),
key=lambda record: record["classes"],
)
selected.extend(candidates[:rotations])
return selected
def parse_mapping(specification: str, cast) -> dict:
mapping = {}
for entry in specification.split(","):
key, value = entry.split(":", maxsplit=1)
mapping[int(key)] = cast(value)
return mapping
def constant_calibration(
circuit,
gates: np.ndarray,
imperfection: GridSquareLawImperfection,
*,
observations: int,
seed: int,
) -> np.ndarray:
rng = np.random.default_rng(seed)
measurements = []
for _ in range(observations):
inputs = rng.uniform(
circuit.low_voltage, circuit.high_voltage, size=2)
state = solve_linear_grid_state(
circuit, gates, circuit.source_values(*inputs))
drops = edge_voltage_drops(circuit, state)
measurements.append(imperfection.neutral_bias(
circuit.measured_learning_rate, drops))
return np.mean(np.asarray(measurements), axis=0)
def compact_result(result: dict) -> dict:
result = dict(result)
result.pop("final_gates_v", None)
result["trace"] = [{
key: value for key, value in record.items()
if key != "outputs_v"
} for record in result["trace"]]
return result
def run_job(job: dict) -> dict:
side = job["side"]
task = job["task"]
task_index = job["task_index"]
device_seed = job["device_seed"]
circuit = make_scaled_grid(side)
gates = tile_figure5_gates(
np.asarray(task["initial_gates_v"], dtype=float), side)
dataset = RingClassificationDataset(
inputs_v=np.asarray(task["inputs_v"], dtype=float).T,
labels_v=(
2.0 * np.asarray(task["classes"], dtype=float) - 1.0
) * 0.018,
)
imperfection = GridSquareLawImperfection.sample_appendix_c(
circuit.edge_count,
device_seed,
gain_standard_deviation=job["gain_standard_deviation"],
twin_mismatch_standard_deviation_v=(
job["twin_mismatch_standard_deviation_v"]),
multiplier_offset_standard_deviation_v_per_s=(
job["multiplier_offset_standard_deviation_v_per_s"]),
)
constant_bias = None
if "constant" in job["methods"]:
constant_bias = constant_calibration(
circuit,
gates,
imperfection,
observations=job["calibration_observations"],
seed=device_seed + 1_000_003 + task_index + 1009 * side,
)
config = DigitalTrainingConfig(
epochs=job["epochs"],
record_every=job["record_every"],
learning_time_seconds=job["learning_time_seconds"],
overclamp_time_seconds_per_v=(
job["overclamp_time_seconds_per_v"]),
)
methods = {}
for method in job["methods"]:
start = time.perf_counter()
try:
result = train_digital_grid(
circuit,
gates,
dataset,
imperfection,
method=method,
config=config,
constant_bias_v_per_s=constant_bias,
noise_seed=(
device_seed + 2_000_003 + task_index + 1009 * side),
)
result = compact_result(result)
result["status"] = "completed"
except (RuntimeError, ValueError) as error:
result = {
"method": method,
"status": "failed",
"failure_message": str(error),
"classification_error": 1.0,
"hinge_loss_v2": None,
"reached_stable_zero_error": False,
"restricted_epochs_to_stable_zero_error": job["epochs"],
"restricted_updates_to_stable_zero_error": (
job["epochs"] * len(dataset.labels_v)),
"restricted_edge_updates_to_stable_zero_error": (
job["epochs"] * len(dataset.labels_v)
* circuit.edge_count),
"restricted_learning_time_to_stable_zero_seconds": (
job["epochs"] * len(dataset.labels_v)
* job["learning_time_seconds"]),
"classification_error_auc": 1.0,
"local_updates": None,
"neutral_observations": None,
"trace": [],
}
result["wall_seconds"] = float(time.perf_counter() - start)
methods[method] = result
return {
"side": side,
"nodes": circuit.node_count,
"learnable_edges": circuit.edge_count,
"task_index": task_index,
"input_diameter_v": task["input_diameter_v"],
"classes": task["classes"],
"device_seed": device_seed,
"methods": methods,
}
def summarize(records: list[dict], methods: tuple[str, ...]) -> dict:
summary = {}
for side in sorted({record["side"] for record in records}):
side_records = [record for record in records if record["side"] == side]
method_summary = {}
for method in methods:
values = [record["methods"][method] for record in side_records]
errors = np.asarray([
value["classification_error"] for value in values])
method_summary[method] = {
"trials": len(values),
"failures": int(sum(
value["status"] != "completed" for value in values)),
"mean_classification_error": float(np.mean(errors)),
"zero_error_fraction": float(np.mean(errors == 0.0)),
"mean_classification_error_auc": float(np.mean([
value["classification_error_auc"] for value in values
])),
"stable_zero_error_fraction": float(np.mean([
value["reached_stable_zero_error"] for value in values
])),
"mean_restricted_epochs_to_stable_zero_error": float(np.mean([
value["restricted_epochs_to_stable_zero_error"]
for value in values
])),
"mean_restricted_edge_updates_to_stable_zero_error": (
float(np.mean([
value[
"restricted_edge_updates_to_stable_zero_error"
] for value in values
]))
),
"mean_restricted_learning_time_to_stable_zero_seconds": (
float(np.mean([
value[
"restricted_learning_time_to_stable_zero_seconds"
] for value in values
]))
),
"median_wall_seconds": float(np.median([
value["wall_seconds"] for value in values
])),
}
summary[str(side)] = {
"nodes": side_records[0]["nodes"],
"learnable_edges": side_records[0]["learnable_edges"],
"methods": method_summary,
}
return summary
def parse_args() -> argparse.Namespace:
parser = argparse.ArgumentParser()
parser.add_argument(
"--protocol", type=Path,
default=Path("results/physical_bias/dillavou_fig5_protocol.json"))
parser.add_argument(
"--output", type=Path,
default=Path("results/coupled_ladder/p0_pilot.json"))
parser.add_argument("--sizes", default="4,8,12,16,24,32")
parser.add_argument("--rotations", type=int, default=1)
parser.add_argument("--device-seeds", default="20260829")
parser.add_argument(
"--methods", default="clean,matched_noise,raw,sdil")
parser.add_argument("--epochs", type=int, default=600)
parser.add_argument("--record-every", type=int, default=10)
parser.add_argument(
"--learning-times",
default=(
"4:0.001,8:0.001,12:0.001,16:0.001,"
"24:0.001,32:0.001"),
)
parser.add_argument("--calibration-observations", type=int, default=16)
parser.add_argument(
"--overclamp-time-seconds-per-v", type=float, default=0.0025)
parser.add_argument("--gain-standard-deviation", type=float, default=0.01)
parser.add_argument(
"--twin-mismatch-standard-deviation-v", type=float, default=0.001)
parser.add_argument(
"--multiplier-offset-standard-deviation-v-per-s",
type=float,
default=2.3,
)
parser.add_argument("--workers", type=int, default=8)
return parser.parse_args()
def main() -> None:
args = parse_args()
protocol = json.loads(args.protocol.read_text())
sizes = tuple(int(value) for value in args.sizes.split(","))
learning_times = parse_mapping(args.learning_times, float)
missing_times = set(sizes) - set(learning_times)
if missing_times:
raise ValueError(
f"learning times are missing sizes {sorted(missing_times)}")
methods = tuple(args.methods.split(","))
unknown_methods = set(methods) - set(METHODS)
if unknown_methods:
raise ValueError(f"unknown methods: {sorted(unknown_methods)}")
tasks = select_tasks(protocol, args.rotations)
device_seeds = tuple(
int(value) for value in args.device_seeds.split(","))
jobs = [{
"side": side,
"task_index": task_index,
"task": task,
"device_seed": device_seed,
"methods": methods,
"epochs": args.epochs,
"record_every": args.record_every,
"learning_time_seconds": learning_times[side],
"calibration_observations": args.calibration_observations,
"overclamp_time_seconds_per_v": (
args.overclamp_time_seconds_per_v),
"gain_standard_deviation": args.gain_standard_deviation,
"twin_mismatch_standard_deviation_v": (
args.twin_mismatch_standard_deviation_v),
"multiplier_offset_standard_deviation_v_per_s": (
args.multiplier_offset_standard_deviation_v_per_s),
} for side in sizes
for task_index, task in enumerate(tasks)
for device_seed in device_seeds]
records = []
with ProcessPoolExecutor(max_workers=args.workers) as executor:
futures = [executor.submit(run_job, job) for job in jobs]
for completed, future in enumerate(as_completed(futures), start=1):
record = future.result()
records.append(record)
compact = ", ".join(
f"{method}={record['methods'][method]['classification_error']:.3f}"
for method in methods)
print(
f"{completed}/{len(jobs)} side={record['side']} "
f"task={record['task_index']} seed={record['device_seed']}: "
f"{compact}",
flush=True,
)
records.sort(key=lambda record: (
record["side"], record["task_index"], record["device_seed"]))
report = {
"analysis": "digital_coupled_learning_size_ladder",
"confirmatory": False,
"autodiff_used": False,
"source_protocol": str(args.protocol),
"protocol": {
"sizes": sizes,
"rotations_per_input_diameter": args.rotations,
"task_count": len(tasks),
"device_seeds": device_seeds,
"methods": methods,
"epochs": args.epochs,
"record_every": args.record_every,
"learning_time_seconds_by_side": learning_times,
"calibration_observations": args.calibration_observations,
"overclamp_time_seconds_per_v": (
args.overclamp_time_seconds_per_v),
"component_imperfection": {
"gain_standard_deviation": args.gain_standard_deviation,
"twin_mismatch_standard_deviation_v": (
args.twin_mismatch_standard_deviation_v),
"multiplier_offset_standard_deviation_v_per_s": (
args.multiplier_offset_standard_deviation_v_per_s),
},
"pairing": "task, initial gates, and component draw",
},
"records": records,
"summary": summarize(records, methods),
}
args.output.parent.mkdir(parents=True, exist_ok=True)
args.output.write_text(json.dumps(report, indent=2) + "\n")
print(json.dumps(report["summary"], indent=2))
print(f"wrote {args.output}")
if __name__ == "__main__":
main()
|