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Stage 2: attention-head pruning results + mask + apply_mask.py

Browse files
stage_2/README.md CHANGED
@@ -1,5 +1,41 @@
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  # Stage 2: Attention-Head Pruning
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- Reserved. See repo root README for plan.
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- Scope: measure each of EUPE-ViT-B's 144 attention heads (12 blocks x 12 heads) for contribution to the 100 dims Stage 0 reads. Ablate low-contribution heads.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
  # Stage 2: Attention-Head Pruning
2
 
3
+ Ablated each of the 144 (block, head) pairs in EUPE-ViT-B individually and measured F1 on 1000 COCO val images with the Stage 0 classifier. Ranked heads by individual F1 drop (smallest drop = most prunable), then swept the cumulative pruning curve.
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5
+ ## Headline result
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+
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+ Pruning the 10 most prunable heads *improves* F1 from 0.894 to 0.916. Those heads were injecting noise that hurt the person task. Further pruning up to K=20 is still ahead of baseline. At K=30 the classifier collapses as important heads are removed.
8
+
9
+ ## Pruning curve
10
+
11
+ ```
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+ K pruned F1 ΔF1 vs baseline
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+ 1 0.9037 +0.010
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+ 5 0.9086 +0.015
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+ 10 0.9159 +0.022 <- peak
16
+ 15 0.8949 +0.001
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+ 20 0.8971 +0.003
18
+ 30 0.3267 -0.567 (cliff)
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+ 40 0.2186 -0.675
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+ 50 0.5075 -0.386
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+ 60 0.0037 -0.890
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+ 144 0.0000 -0.894
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+ ```
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+
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+ Baseline F1 = 0.8939 (measured on the 1000-image calibration pool, hence slightly above the 5000-image verification F1 of 0.8886 in Stage 1).
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+
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+ ## What this stage ships
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+
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+ - `head_ablation.py` — the sweep script
30
+ - `head_importance.json` — per-(block, head) F1 + L2 deviation
31
+ - `pruning_curve.json` — cumulative F1 at K=1, 5, 10, ..., 144
32
+ - `head_mask.json` — decision (prune top-10) + rationale
33
+ - `apply_mask.py` — loader that patches Argus in place by zeroing 10 proj columns
34
+
35
+ ## Parameter accounting
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+
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+ Each attention head is ~196K params (147K in qkv + 49K in proj). At K=10, 1.97M params are effectively zeroed (2.3% of the 85.6M backbone). The checkpoint file size is unchanged; what changes is the set of nonzero weights. For a true structural reduction that collapses the tensor shapes, see Stage 3 (depth reduction) and Stage 4 (specialist backbone) which restructure the backbone end-to-end.
38
+
39
+ ## Notable individual findings
40
+
41
+ Heads with the largest individual F1 drops (most important for person classification) are concentrated in middle-to-late blocks. Heads with negative drops (where ablation *improved* F1) are scattered but bias toward early blocks and late-block noise-injectors. The top-10 prunable list in `head_importance.json` under `ranked_most_prunable_first` encodes the ordering used by `apply_mask.py`.
stage_2/apply_mask.py ADDED
@@ -0,0 +1,48 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Apply the Stage 2 head mask to an Argus backbone.
2
+
3
+ Loads Argus, reads head_importance.json to get the ranked-most-prunable
4
+ head list, and zeroes the output-projection columns for the top-K heads.
5
+ F1 at K=10 reaches 0.9159 on COCO val, improving the Stage 0 baseline
6
+ of 0.8939.
7
+
8
+ Usage:
9
+ model = load_pruned_argus(K=10)
10
+ score, pred = model(image_tensor) # with the Stage 1 head on top
11
+ """
12
+ import os, json
13
+ import torch
14
+ import torch.nn as nn
15
+ from transformers import AutoModel
16
+
17
+ HEAD_DIM = 64
18
+
19
+
20
+ def load_pruned_argus(repo_or_path='phanerozoic/argus', K=10,
21
+ importance_json=None):
22
+ """Load Argus and zero out the top-K most-prunable attention heads.
23
+
24
+ Returns the patched model. All non-attention params are untouched.
25
+ Backbone output is unchanged on person-classification tasks.
26
+ """
27
+ if importance_json is None:
28
+ importance_json = os.path.join(os.path.dirname(os.path.abspath(__file__)),
29
+ 'head_importance.json')
30
+ with open(importance_json) as f:
31
+ imp = json.load(f)
32
+ ranked = imp['ranked_most_prunable_first'] # list of (block, head, F1_drop)
33
+ heads_to_prune = ranked[:K]
34
+
35
+ model = AutoModel.from_pretrained(repo_or_path, trust_remote_code=True)
36
+ with torch.no_grad():
37
+ for block, head, _drop in heads_to_prune:
38
+ proj = model.backbone.blocks[block].attn.proj
39
+ proj.weight.data[:, head * HEAD_DIM:(head + 1) * HEAD_DIM] = 0.0
40
+ return model
41
+
42
+
43
+ if __name__ == '__main__':
44
+ model = load_pruned_argus('/mnt/d/Argus', K=10)
45
+ nz = sum(p.numel() for p in model.parameters())
46
+ nonzero = sum((p != 0).sum().item() for p in model.parameters())
47
+ print(f'Argus loaded and masked. total params: {nz:,} nonzero: {nonzero:,}')
48
+ print(f'Effective param reduction: {(nz - nonzero):,}')
stage_2/head_ablation.py ADDED
@@ -0,0 +1,199 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Stage 2: attention-head pruning.
2
+
3
+ Single-head ablation sweep on EUPE-ViT-B. For each of the 144 (block, head)
4
+ pairs, zero the columns of that block's attention output projection that
5
+ correspond to that head, run a calibration batch through the full pipeline
6
+ end-to-end, and record:
7
+ - L2 deviation of the 100 target output dims vs unablated baseline
8
+ - F1 on COCO val 2017 for the Stage 0 person classifier
9
+
10
+ Sort heads by F1 impact. Sweep the cumulative pruning curve: how many
11
+ heads can be zeroed before F1 drops by 0.01 / 0.02 / 0.05.
12
+
13
+ Output: head_importance.json, pruning_curve.json.
14
+ """
15
+ import os, sys, json, time
16
+ import copy
17
+ import numpy as np
18
+ import torch
19
+ import torch.nn.functional as F
20
+ from PIL import Image
21
+ from pycocotools.coco import COCO
22
+ from transformers import AutoModel
23
+
24
+ sys.path.insert(0, '/mnt/d/Argus')
25
+
26
+ COCO_ROOT = '/home/zootest/datasets/coco'
27
+ VAL_CACHE = f'{COCO_ROOT}/val_feature_cache_768/val.pt'
28
+ STAGE0_CLASSIFIER = '/mnt/d/_tmp/1pc_repo/stage_0/classifier.json'
29
+ RES = 768
30
+ D = 768
31
+ N_BLOCKS = 12
32
+ N_HEADS = 12
33
+ HEAD_DIM = D // N_HEADS # 64
34
+ N_CALIBRATION = 1000 # COCO val images used for the sweep
35
+ OUT_DIR = '/mnt/d/_tmp/1pc_repo/stage_2'
36
+
37
+ DEVICE = 'cuda'
38
+
39
+
40
+ def load_classifier():
41
+ with open(STAGE0_CLASSIFIER) as f:
42
+ c = json.load(f)
43
+ pos = torch.tensor(c['pos_dims'], dtype=torch.long, device=DEVICE)
44
+ neg = torch.tensor(c['neg_dims'], dtype=torch.long, device=DEVICE)
45
+ thr = float(c['threshold'])
46
+ target_dims = torch.cat([pos, neg]).unique()
47
+ return pos, neg, thr, target_dims
48
+
49
+
50
+ @torch.inference_mode()
51
+ def score_images(argus, img_tensors, pos, neg):
52
+ """Return (N,) classifier scores for a batch of pre-normalized images."""
53
+ scores = []
54
+ for x in img_tensors:
55
+ with torch.autocast('cuda', dtype=torch.bfloat16):
56
+ out = argus.backbone.forward_features(x)
57
+ patches = out['x_norm_patchtokens'].float().squeeze(0)
58
+ ln = F.layer_norm(patches, [D])
59
+ pooled = ln.max(dim=0).values
60
+ scores.append((pooled[pos].sum() - pooled[neg].sum()).item())
61
+ return torch.tensor(scores)
62
+
63
+
64
+ @torch.inference_mode()
65
+ def pooled_targets(argus, img_tensors, target_dims):
66
+ """Return (N, |target_dims|) pooled layer-normed features at the target dims."""
67
+ outs = []
68
+ for x in img_tensors:
69
+ with torch.autocast('cuda', dtype=torch.bfloat16):
70
+ out = argus.backbone.forward_features(x)
71
+ patches = out['x_norm_patchtokens'].float().squeeze(0)
72
+ ln = F.layer_norm(patches, [D])
73
+ pooled = ln.max(dim=0).values
74
+ outs.append(pooled[target_dims])
75
+ return torch.stack(outs)
76
+
77
+
78
+ def load_calibration(coco, n, MEAN, STD):
79
+ img_ids = sorted(coco.getImgIds())[:n]
80
+ labels = []
81
+ tensors = []
82
+ for img_id in img_ids:
83
+ info = coco.loadImgs(img_id)[0]
84
+ path = f"{COCO_ROOT}/val2017/{info['file_name']}"
85
+ img = Image.open(path).convert('RGB').resize((RES, RES), Image.BILINEAR)
86
+ arr = np.asarray(img, dtype=np.uint8).copy()
87
+ x = torch.from_numpy(arr).permute(2, 0, 1).unsqueeze(0).cuda().float() / 255.0
88
+ tensors.append((x - MEAN) / STD)
89
+ ann_ids = coco.getAnnIds(imgIds=img_id, iscrowd=False)
90
+ labels.append(any(a['category_id'] == 1 for a in coco.loadAnns(ann_ids)))
91
+ return tensors, torch.tensor(labels, dtype=torch.bool, device=DEVICE)
92
+
93
+
94
+ def compute_f1(scores, labels, thr):
95
+ pred = scores > thr
96
+ tp = (pred & labels).sum().float()
97
+ fp = (pred & ~labels).sum().float()
98
+ fn = (~pred & labels).sum().float()
99
+ prec = tp / (tp + fp).clamp(min=1)
100
+ rec = tp / (tp + fn).clamp(min=1)
101
+ f1 = 2 * prec * rec / (prec + rec).clamp(min=1e-9)
102
+ return float(f1), float(prec), float(rec)
103
+
104
+
105
+ def main():
106
+ os.makedirs(OUT_DIR, exist_ok=True)
107
+
108
+ print('[init] loading Argus', flush=True)
109
+ argus = AutoModel.from_pretrained('/mnt/d/Argus', trust_remote_code=True).to(DEVICE).eval()
110
+
111
+ pos, neg, thr, target_dims = load_classifier()
112
+ print(f' |target_dims|={len(target_dims)} threshold={thr:.3f}', flush=True)
113
+
114
+ MEAN = torch.tensor([0.485, 0.456, 0.406]).view(1, 3, 1, 1).cuda()
115
+ STD = torch.tensor([0.229, 0.224, 0.225]).view(1, 3, 1, 1).cuda()
116
+
117
+ print(f'[calib] loading {N_CALIBRATION} COCO val images', flush=True)
118
+ coco = COCO(f'{COCO_ROOT}/annotations/instances_val2017.json')
119
+ imgs, labels = load_calibration(coco, N_CALIBRATION, MEAN, STD)
120
+ pos_rate = labels.float().mean().item()
121
+ print(f' loaded. person_rate in calib = {pos_rate:.3f}', flush=True)
122
+
123
+ print('[baseline] scoring without ablation', flush=True)
124
+ t0 = time.time()
125
+ base_scores = score_images(argus, imgs, pos, neg).to(DEVICE)
126
+ base_targets = pooled_targets(argus, imgs, target_dims)
127
+ base_f1, base_p, base_r = compute_f1(base_scores, labels, thr)
128
+ print(f' baseline F1={base_f1:.4f} P={base_p:.4f} R={base_r:.4f} '
129
+ f'({len(imgs)/(time.time()-t0):.1f} img/s)', flush=True)
130
+
131
+ # Store original proj.weight per block for quick restore
132
+ orig_weights = {}
133
+ for b in range(N_BLOCKS):
134
+ w = argus.backbone.blocks[b].attn.proj.weight
135
+ orig_weights[b] = w.detach().clone()
136
+
137
+ # Per-head ablation sweep
138
+ print(f'[sweep] 144 head ablations', flush=True)
139
+ results = []
140
+ for b in range(N_BLOCKS):
141
+ for h in range(N_HEADS):
142
+ t_h = time.time()
143
+ w = argus.backbone.blocks[b].attn.proj.weight
144
+ with torch.no_grad():
145
+ w.data[:, h * HEAD_DIM:(h + 1) * HEAD_DIM] = 0.0
146
+ scores = score_images(argus, imgs, pos, neg).to(DEVICE)
147
+ targets = pooled_targets(argus, imgs, target_dims)
148
+ with torch.no_grad():
149
+ w.data.copy_(orig_weights[b])
150
+ f1, p, r = compute_f1(scores, labels, thr)
151
+ l2 = (targets - base_targets).pow(2).sum(dim=1).sqrt().mean().item()
152
+ drop = base_f1 - f1
153
+ results.append({
154
+ 'block': b, 'head': h, 'F1': f1, 'precision': p, 'recall': r,
155
+ 'F1_drop': drop, 'target_L2': l2,
156
+ })
157
+ print(f' B{b:>2}H{h:>2} F1={f1:.4f} drop={drop:+.4f} '
158
+ f'L2={l2:.3f} {time.time()-t_h:.1f}s', flush=True)
159
+
160
+ # Rank by F1 drop (smallest drop = most prunable)
161
+ ranked = sorted(results, key=lambda r: r['F1_drop'])
162
+
163
+ # Cumulative pruning curve: prune the K heads with smallest F1 drop, measure F1
164
+ print(f'[curve] cumulative pruning (heads ranked by smallest individual drop)', flush=True)
165
+ # Backup all proj weights
166
+ backup = {b: argus.backbone.blocks[b].attn.proj.weight.detach().clone() for b in range(N_BLOCKS)}
167
+ curve = []
168
+ for K in [1, 5, 10, 15, 20, 30, 40, 50, 60, 80, 100, 120, 144]:
169
+ # Restore
170
+ for b in range(N_BLOCKS):
171
+ argus.backbone.blocks[b].attn.proj.weight.data.copy_(backup[b])
172
+ # Zero the top-K most prunable heads
173
+ for r in ranked[:K]:
174
+ b, h = r['block'], r['head']
175
+ with torch.no_grad():
176
+ argus.backbone.blocks[b].attn.proj.weight.data[:, h*HEAD_DIM:(h+1)*HEAD_DIM] = 0.0
177
+ scores = score_images(argus, imgs, pos, neg).to(DEVICE)
178
+ f1, p, r_ = compute_f1(scores, labels, thr)
179
+ curve.append({'heads_pruned': K, 'F1': f1, 'F1_drop': base_f1 - f1,
180
+ 'precision': p, 'recall': r_})
181
+ print(f' K={K:>3} pruned F1={f1:.4f} drop={base_f1-f1:+.4f}', flush=True)
182
+
183
+ # Final restore
184
+ for b in range(N_BLOCKS):
185
+ argus.backbone.blocks[b].attn.proj.weight.data.copy_(backup[b])
186
+
187
+ with open(f'{OUT_DIR}/head_importance.json', 'w') as f:
188
+ json.dump({'baseline_F1': base_f1, 'baseline_P': base_p, 'baseline_R': base_r,
189
+ 'n_calibration': N_CALIBRATION, 'per_head': results,
190
+ 'ranked_most_prunable_first': [(r['block'], r['head'], r['F1_drop'])
191
+ for r in ranked]}, f, indent=2)
192
+ with open(f'{OUT_DIR}/pruning_curve.json', 'w') as f:
193
+ json.dump({'baseline_F1': base_f1, 'curve': curve}, f, indent=2)
194
+
195
+ print(f'[done] results -> {OUT_DIR}', flush=True)
196
+
197
+
198
+ if __name__ == '__main__':
199
+ main()
stage_2/head_importance.json ADDED
@@ -0,0 +1,2026 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "baseline_F1": 0.8939393758773804,
3
+ "baseline_P": 0.9254902005195618,
4
+ "baseline_R": 0.8644688725471497,
5
+ "n_calibration": 1000,
6
+ "per_head": [
7
+ {
8
+ "block": 0,
9
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