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Upload cat_budget_ablation.py with huggingface_hub

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  1. cat_budget_ablation.py +341 -0
cat_budget_ablation.py ADDED
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+ import os
2
+ import sys
3
+ from pathlib import Path
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+
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+ import numpy as np
6
+ import pandas as pd
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+ import torch
8
+ from torch.distributions import Bernoulli
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+ from joblib import Parallel, delayed
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+ from matplotlib import pyplot as plt
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+ from tqdm import tqdm
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+ from tueplots import bundles
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+
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+ bundles.icml2024()
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+
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+ PROJECT_ROOT = Path(__file__).resolve().parent
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+ sys.path.append(str(PROJECT_ROOT.parent))
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+ from utils import (
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+ cat_beta_1pl,
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+ cat_beta_2pl,
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+ cat_binary_1pl,
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+ cat_binary_2pl,
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+ beta_nll,
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+ calibrate_1pl_theta,
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+ )
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+
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+ MAX_BUDGET = 100
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+ N_TEST_MODELS = 5
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+ RNG_SEED = 0
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+ DATA_ROOT = PROJECT_ROOT / "data"
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+ RESULTS_ROOT = PROJECT_ROOT / "results"
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+ DEVICE = "cpu"
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+ LOAD_PLOT_DATA = False
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+ INIT_FRAC = 0
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+ ONLY_PLOT_BETA_1PL = True
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+ PLOT_METRIC = "mae"
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+ NROWS = 2
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+ NCOLS = 5
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+
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+ CONFIGS = (
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+ {
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+ "label": "beta 1pl",
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+ "loss_kind": "beta",
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+ "irt_model": "1pl",
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+ "input_file": "4_prob_matrix_calibrated.parquet",
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+ "color": "#1f77b4",
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+ "linestyle": "-",
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+ "cat_fn": cat_beta_1pl,
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+ },
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+ {
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+ "label": "beta 2pl",
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+ "loss_kind": "beta",
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+ "irt_model": "2pl",
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+ "input_file": "4_prob_matrix_calibrated_2pl.parquet",
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+ "color": "#1f77b4",
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+ "linestyle": "--",
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+ "cat_fn": cat_beta_2pl,
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+ },
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+ {
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+ "label": "binary 1pl",
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+ "loss_kind": "binary",
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+ "irt_model": "1pl",
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+ "input_file": "4_binary_matrix_calibrated.parquet",
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+ "color": "#d62728",
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+ "linestyle": "-",
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+ "cat_fn": cat_binary_1pl,
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+ },
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+ {
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+ "label": "binary 2pl",
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+ "loss_kind": "binary",
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+ "irt_model": "2pl",
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+ "input_file": "4_binary_matrix_calibrated_2pl.parquet",
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+ "color": "#d62728",
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+ "linestyle": "--",
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+ "cat_fn": cat_binary_2pl,
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+ },
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+ )
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+
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+
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+ def cat_theta_trace(
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+ ys: np.ndarray,
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+ zs: np.ndarray,
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+ cat_fn,
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+ device: str,
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+ max_budget: int,
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+ init_frac: float,
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+ discris: np.ndarray | None = None,
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+ ) -> np.ndarray:
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+ ys_t = torch.tensor(ys, dtype=torch.float32)
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+ zs_t = torch.tensor(zs, dtype=torch.float32)
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+ if discris is None:
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+ raw_trace = np.asarray(
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+ cat_fn(ys_t, zs_t, device, budget=max_budget, init_frac=init_frac),
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+ dtype=np.float32,
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+ )
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+ else:
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+ discris_t = torch.tensor(discris, dtype=torch.float32)
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+ raw_trace = np.asarray(
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+ cat_fn(ys_t, discris_t, zs_t, device, budget=max_budget, init_frac=init_frac),
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+ dtype=np.float32,
101
+ )
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+
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+ return raw_trace
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+
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+
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+ def calibrate_2pl_theta(
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+ resmat: torch.Tensor,
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+ zs: torch.Tensor,
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+ alphas: torch.Tensor,
110
+ device: str,
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+ loss_kind: str,
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+ max_iter: int = 100,
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+ lr_theta: float = 0.1,
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+ phi: float = 10.0,
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+ clamp_eps: float = 1e-6,
116
+ ) -> np.ndarray:
117
+ resmat = resmat.to(device)
118
+ zs = zs.to(device)
119
+ alphas = alphas.to(device)
120
+ n_test_takers = resmat.shape[0]
121
+ thetas = torch.randn(n_test_takers, device=device, requires_grad=True)
122
+ optimizer = torch.optim.AdamW([thetas], lr=lr_theta)
123
+ phi_tensor = torch.tensor(phi, device=device)
124
+
125
+ if loss_kind == "beta":
126
+ def compute_loss(y, mu, mask):
127
+ y = y.clamp(clamp_eps, 1 - clamp_eps)
128
+ return beta_nll(y[mask], mu[mask], phi_tensor).mean()
129
+ elif loss_kind == "binary":
130
+ def compute_loss(y, mu, mask):
131
+ return -Bernoulli(probs=mu[mask]).log_prob(y[mask]).mean()
132
+ else:
133
+ raise ValueError(f"Unknown loss_kind: {loss_kind}")
134
+
135
+ for _ in range(max_iter):
136
+ optimizer.zero_grad()
137
+ mask = ~torch.isnan(resmat)
138
+ mu = torch.sigmoid(alphas[None, :] * (thetas[:, None] + zs[None, :]))
139
+ loss = compute_loss(resmat, mu, mask)
140
+ loss.backward()
141
+ optimizer.step()
142
+
143
+ thetas = thetas.detach()
144
+ return thetas.cpu().numpy()
145
+
146
+
147
+ def estimate_full_theta(
148
+ ys: np.ndarray,
149
+ zs: np.ndarray,
150
+ loss_kind: str,
151
+ irt_model: str,
152
+ device: str,
153
+ alphas: np.ndarray | None = None,
154
+ ) -> np.ndarray:
155
+ ys_t = torch.tensor(ys, dtype=torch.float32)
156
+ zs_t = torch.tensor(zs, dtype=torch.float32)
157
+ if irt_model == "1pl":
158
+ return calibrate_1pl_theta(
159
+ resmat=ys_t,
160
+ device=device,
161
+ zs=zs_t,
162
+ loss_kind=loss_kind,
163
+ )
164
+
165
+ else:
166
+ return calibrate_2pl_theta(
167
+ resmat=ys_t,
168
+ zs=zs_t,
169
+ alphas=torch.tensor(alphas, dtype=torch.float32),
170
+ device=device,
171
+ loss_kind=loss_kind,
172
+ )
173
+
174
+ if __name__ == "__main__":
175
+ n_cpus = int(os.cpu_count() * 0.8)
176
+ rng = np.random.default_rng(RNG_SEED)
177
+ results_dir = RESULTS_ROOT / "cat_budget_ablation"
178
+ results_dir.mkdir(parents=True, exist_ok=True)
179
+ csv_path = results_dir / "cat_budget_ablation_mae.csv"
180
+
181
+ if LOAD_PLOT_DATA:
182
+ results_df = pd.read_csv(csv_path)
183
+ shared_benches = sorted(results_df["bench_name"].unique().tolist())
184
+ else:
185
+ config_data = {}
186
+ shared_benches = None
187
+ for cfg_idx, cfg in enumerate(CONFIGS):
188
+ df = pd.read_parquet(DATA_ROOT / cfg["input_file"])
189
+ test_df = df[df.index.get_level_values("model_split") == "test"].copy()
190
+
191
+ if cfg_idx == 0:
192
+ shared_benches = sorted(
193
+ test_df.columns.get_level_values("bench_name").map(
194
+ lambda b: "mmlu" if b.startswith("mmlu") else b
195
+ ).unique().tolist()
196
+ )
197
+ config_data[cfg["label"]] = {
198
+ "test_df": test_df,
199
+ "bench_names": test_df.columns.get_level_values("bench_name").map(
200
+ lambda b: "mmlu" if b.startswith("mmlu") else b
201
+ ).to_numpy(),
202
+ }
203
+
204
+ records = []
205
+ for cfg in CONFIGS:
206
+ label = cfg["label"]
207
+ test_df = config_data[label]["test_df"]
208
+ ys = test_df.to_numpy(dtype=np.float32)
209
+ bench_names = config_data[label]["bench_names"]
210
+ zs = test_df.columns.get_level_values("difficulty").to_numpy(dtype=np.float32)
211
+ if cfg["irt_model"] == "2pl":
212
+ alphas = test_df.columns.get_level_values("discrimination").to_numpy(dtype=np.float32)
213
+ else:
214
+ alphas = None
215
+
216
+ for bench in tqdm(shared_benches, desc=label):
217
+ bench_mask = bench_names == bench
218
+ bench_ys = ys[:, bench_mask]
219
+ bench_zs = zs[bench_mask]
220
+ bench_alphas = alphas[bench_mask] if alphas is not None else None
221
+
222
+ gt_thetas = estimate_full_theta(
223
+ ys=bench_ys,
224
+ zs=bench_zs,
225
+ loss_kind=cfg["loss_kind"],
226
+ irt_model=cfg["irt_model"],
227
+ alphas=bench_alphas,
228
+ device=DEVICE,
229
+ )
230
+ theta_order = np.argsort(gt_thetas)
231
+ n_select = min(N_TEST_MODELS, theta_order.size)
232
+ selected_positions = np.linspace(0, theta_order.size - 1, num=n_select, dtype=int)
233
+ selected_model_idxs = theta_order[selected_positions]
234
+ bench_ys = bench_ys[selected_model_idxs]
235
+ gt_thetas = gt_thetas[selected_model_idxs]
236
+
237
+ traces = np.asarray(
238
+ Parallel(n_jobs=n_cpus)(
239
+ delayed(cat_theta_trace)(
240
+ ys=bench_ys[i],
241
+ zs=bench_zs,
242
+ discris=bench_alphas,
243
+ cat_fn=cfg["cat_fn"],
244
+ device=DEVICE,
245
+ max_budget=MAX_BUDGET,
246
+ init_frac=INIT_FRAC,
247
+ )
248
+ for i in range(bench_ys.shape[0])
249
+ ),
250
+ dtype=np.float32,
251
+ )
252
+ errors = traces - gt_thetas[:, None]
253
+ mae_by_budget = np.abs(errors).mean(axis=0)
254
+ mse_by_budget = np.square(errors).mean(axis=0)
255
+
256
+ for budget, (mae, mse) in enumerate(zip(mae_by_budget, mse_by_budget), start=1):
257
+ records.append(
258
+ {
259
+ "bench_name": bench,
260
+ "loss_kind": cfg["loss_kind"],
261
+ "irt_model": cfg["irt_model"],
262
+ "budget": budget,
263
+ "mae": float(mae),
264
+ "mse": float(mse),
265
+ }
266
+ )
267
+
268
+ results_df = pd.DataFrame.from_records(records)
269
+ results_df.to_csv(csv_path, index=False)
270
+
271
+ with plt.rc_context(bundles.icml2024(usetex=True, family="serif")):
272
+ fig, axes = plt.subplots(
273
+ nrows=NROWS,
274
+ ncols=NCOLS,
275
+ figsize=(18, 6.8),
276
+ sharex=True,
277
+ sharey=False,
278
+ )
279
+ axes = np.atleast_1d(axes).ravel()
280
+ plot_configs = (
281
+ [cfg for cfg in CONFIGS if cfg["loss_kind"] == "beta" and cfg["irt_model"] == "1pl"]
282
+ if ONLY_PLOT_BETA_1PL
283
+ else list(CONFIGS)
284
+ )
285
+ for i_ax, (ax, bench) in enumerate(zip(axes, shared_benches)):
286
+ bench_df = results_df[results_df["bench_name"] == bench]
287
+ for cfg in plot_configs:
288
+ cfg_df = bench_df[
289
+ (bench_df["loss_kind"] == cfg["loss_kind"])
290
+ & (bench_df["irt_model"] == cfg["irt_model"])
291
+ ]
292
+ ax.plot(
293
+ cfg_df["budget"],
294
+ cfg_df[PLOT_METRIC],
295
+ label=None if ONLY_PLOT_BETA_1PL else cfg["label"],
296
+ color=cfg["color"],
297
+ linestyle=cfg["linestyle"],
298
+ linewidth=2.4,
299
+ alpha=0.8,
300
+ )
301
+ plot_df = bench_df[
302
+ (bench_df["loss_kind"] == "beta") & (bench_df["irt_model"] == "1pl")
303
+ ] if ONLY_PLOT_BETA_1PL else bench_df
304
+ if ONLY_PLOT_BETA_1PL:
305
+ bench_max = plot_df[PLOT_METRIC].max()
306
+ ax.set_ylim(0, bench_max * 1.12 if bench_max > 0 else 1.0)
307
+ else:
308
+ positive_metric = plot_df.loc[plot_df[PLOT_METRIC] > 0, PLOT_METRIC]
309
+ bench_min = positive_metric.min()
310
+ bench_max = positive_metric.max()
311
+ ax.set_yscale("log")
312
+ ax.set_ylim(bench_min / 1.2, bench_max * 1.12)
313
+ ax.set_xlim(1, MAX_BUDGET)
314
+ ax.axvline(50, color="black", linestyle="--", linewidth=1.2, alpha=0.9)
315
+ ax.set_title(bench, fontsize=18, pad=10)
316
+ if i_ax < NCOLS:
317
+ ax.set_xlabel("")
318
+ else:
319
+ ax.set_xlabel("Budget", fontsize=16)
320
+ if i_ax % NCOLS == 0:
321
+ ax.set_ylabel(PLOT_METRIC.upper(), fontsize=16)
322
+ else:
323
+ ax.set_ylabel("")
324
+ ax.tick_params(axis="both", labelsize=14)
325
+ ax.spines["top"].set_visible(False)
326
+ ax.spines["right"].set_visible(False)
327
+ ax.margins(x=0.01)
328
+ if not ONLY_PLOT_BETA_1PL:
329
+ handles, labels = axes[0].get_legend_handles_labels()
330
+ fig.legend(
331
+ handles,
332
+ labels,
333
+ loc="upper center",
334
+ ncol=4,
335
+ frameon=False,
336
+ fontsize=15,
337
+ bbox_to_anchor=(0.5, 1.03),
338
+ )
339
+ fig.tight_layout(rect=(0, 0, 1, 0.92), w_pad=1.2, h_pad=1.4)
340
+ fig.savefig(results_dir / "cat_budget_ablation.png", dpi=300, bbox_inches="tight")
341
+ plt.close(fig)