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README.md ADDED
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1
+ # LLM4PH: Large Language Models as Topological Thinkers
2
+
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+ This repository contains the benchmark code for our NeurIPS paper: "Large Language Models as Topological Thinkers: A Benchmark on Graph Persistent Homology".
4
+
5
+ ## Overview
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+
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+ LLM4PH is a comprehensive benchmark designed to evaluate the capabilities of Large Language Models (LLMs) in understanding and reasoning about topological concepts, specifically focusing on graph persistent homology.
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+
9
+ ## Dataset
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+
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+ The benchmark consists of four difficulty levels of tasks:
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+
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+ ![llm4ph](llm4ph.png)
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+
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+ Each level is designed to progressively challenge the model's understanding of topological concepts.
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+
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+ ## Code Structure
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+
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+ The codebase is organized as follows:
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+
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+ ```
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+ LLM4PH/
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+ ├── config.py # Configuration settings for tasks and models
24
+ ├── main.py # Main entry point for running the benchmark
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+ ├── datasets/ # Dataset files for different difficulty levels
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+ ├── evaluate_code/ # Evaluation scripts and metrics
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+ ├── results/ # Directory for storing evaluation results
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+ └── .env # Environment variables for API keys (create if needed)
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+ ```
30
+ Key components:
31
+ - `config.py`: Configure task parameters and model settings
32
+ - `main.py`: Run the benchmark with specified configurations
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+ - `evaluate_code/`: Contains evaluation logic and scoring metrics
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+ - `datasets/`: Stores the benchmark datasets
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+ - `results/`: Output directory for evaluation results
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+
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+ ## Installation
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+
39
+ Install dependencies:
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+ ```bash
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+ pip install -r requirements.txt
42
+ ```
43
+
44
+ ## Configuration
45
+
46
+ The benchmark can be configured through `config.py`:
47
+
48
+ - Task configuration: Set difficulty levels and evaluation parameters
49
+ - Model configuration: Choose between local and API-based models
50
+
51
+ ### API Key Setup
52
+
53
+ For closed-source models, create a `.env` file in the root directory:
54
+
55
+ ```bash
56
+ touch .env
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+ ```
58
+
59
+ Add your API keys to the `.env` file:
60
+ ```
61
+ OPENAI_API_KEY=your_key_here
62
+ ANTHROPIC_API_KEY=your_key_here
63
+ ```
64
+
65
+ ## Usage
66
+
67
+ 1. Configure your desired task and model in `config.py`
68
+ 2. Run the benchmark:
69
+ ```bash
70
+ python main.py
71
+ ```
72
+
73
+ ## Citation
74
+
75
+ If you use this benchmark in your research, please cite our paper:
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+ ```
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+
78
+ ```
config.py ADDED
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1
+ # List of tasks to be processed
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+ TASKS = [
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+ "R_Generation",
4
+ # Add more tasks as needed
5
+ ]
6
+
7
+ # Model configuration
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+ MODEL_NAMES = [
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+ "gpt-4o", # You can change this to other model names if needed
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+ ]
evaluate_code/evaluate.py ADDED
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1
+ from typing import Tuple, Dict
2
+ from evaluate_code.ph_utils import count_connected_components
3
+ from evaluate_code.ph_utils import check_graph_group
4
+ import statistics
5
+ import numpy as np
6
+ import json
7
+ class Evaluator:
8
+ def __init__(self, task_name):
9
+ self.task_name = task_name
10
+ def evaluate(self, graph_data, extracted_answers):
11
+ """
12
+ Call the corresponding evaluation function based on the task type
13
+
14
+ Args:
15
+ graph_data: List of graph data objects
16
+ extracted_answers: List of dicts with number_of_features
17
+ task_type: Task type
18
+
19
+ Returns:
20
+ accuracy: accuracy
21
+ evaluation_results: dict containing detailed evaluation results and statistics
22
+ """
23
+ task_evaluators = {
24
+ "S_0D": self.evaluate_S_0D,
25
+ "S_1D": self.evaluate_S_1D,
26
+ "S_Modification": self.evaluate_S_Modification,
27
+ "M_Merge": self.evaluate_M_Merge,
28
+ "M_Birth": self.evaluate_M_Birth,
29
+ "M_Filtration": self.evaluate_M_Filtration,
30
+ "H_Selection": self.evaluate_H_Selection,
31
+ "H_Generation": self.evaluate_H_Generation,
32
+ "R_Selection": self.evaluate_R_Selection,
33
+ "R_Generation": self.evaluate_R_Generation,
34
+ "R_Classification": self.evaluate_R_Classification,
35
+ }
36
+
37
+ if self.task_name not in task_evaluators:
38
+ raise ValueError(f"Unsupported task type: {self.task_name}")
39
+
40
+ return task_evaluators[self.task_name](graph_data, extracted_answers)
41
+
42
+ def evaluate_S_0D(self, graph_data, extracted_answers):
43
+ """
44
+ Evaluate the accuracy of the structure_0dim_identification task
45
+
46
+ Args:
47
+ graph_data: List of graph data objects
48
+ extracted_answers: List of dicts with number_of_features
49
+
50
+ Returns:
51
+ accuracy: accuracy
52
+ evaluation_results: dict containing detailed evaluation results and statistics
53
+ """
54
+ correct_count = 0
55
+ total_count = len(extracted_answers)
56
+ evaluation_results = []
57
+
58
+ for i, answer in enumerate(extracted_answers):
59
+ if i >= len(graph_data):
60
+ break
61
+
62
+
63
+ correct_answer = graph_data[i]["num_components"]
64
+
65
+
66
+ predicted_answer = answer.get("connected_components")
67
+
68
+ is_correct = predicted_answer == correct_answer
69
+ if is_correct:
70
+ correct_count += 1
71
+
72
+
73
+ evaluation_result = {
74
+ "is_correct": is_correct,
75
+ "predicted_answer": predicted_answer,
76
+ "correct_answer": correct_answer
77
+ }
78
+ evaluation_results.append(evaluation_result)
79
+
80
+
81
+ accuracy = correct_count / total_count if total_count > 0 else 0
82
+
83
+
84
+ stats = {
85
+ "total_samples": total_count,
86
+ "correct_count": correct_count,
87
+ "wrong_count": total_count - correct_count,
88
+ "accuracy": accuracy
89
+ }
90
+
91
+ return accuracy, {
92
+ "statistics": stats,
93
+ "detailed_results": evaluation_results
94
+ }
95
+ def evaluate_S_1D(self, graph_data, extracted_answers):
96
+ """
97
+ Evaluate the accuracy of the structure_1dim_identification task, including two sets of metrics:
98
+ 1. Whether the existence of 1-dimensional features is correctly judged (through the has_feature field)
99
+ 2. For graphs with 1-dimensional features, whether the barcodes match completely
100
+
101
+ Args:
102
+ graph_data: List of graph data objects
103
+ extracted_answers: List of dicts with has_feature and persistence_pairs
104
+
105
+ Returns:
106
+ accuracy: accuracy of existence judgment
107
+ evaluation_results: dict containing detailed evaluation results and statistics
108
+ """
109
+ correct_count = 0
110
+ total_count = len(extracted_answers)
111
+ evaluation_results = []
112
+
113
+ for i, answer in enumerate(extracted_answers):
114
+ if i >= len(graph_data):
115
+ break
116
+
117
+
118
+ correct_answer = graph_data[i]["num_holes"]
119
+
120
+
121
+ predicted_answer = answer.get("cycle_holes")
122
+ if predicted_answer is None:
123
+ evaluation_results.append({
124
+ "index": i,
125
+ "correct": correct_answer,
126
+ "predicted": None,
127
+ "match": False,
128
+ "error": "Missing 'cycle_holes'"
129
+ })
130
+ continue
131
+ is_correct = predicted_answer == correct_answer
132
+ if is_correct:
133
+ correct_count += 1
134
+
135
+
136
+ evaluation_result = {
137
+ "is_correct": is_correct,
138
+ "predicted_answer": predicted_answer,
139
+ "correct_answer": correct_answer
140
+ }
141
+ evaluation_results.append(evaluation_result)
142
+
143
+
144
+ accuracy = correct_count / total_count if total_count > 0 else 0
145
+
146
+
147
+ stats = {
148
+ "total_samples": total_count,
149
+ "correct_count": correct_count,
150
+ "wrong_count": total_count - correct_count,
151
+ "accuracy": accuracy
152
+ }
153
+
154
+ return accuracy, {
155
+ "statistics": stats,
156
+ "detailed_results": evaluation_results
157
+ }
158
+ def evaluate_S_Modification(self, graph_data, extracted_answers):
159
+ """
160
+ Evaluate graph_0dim_modification accuracy
161
+
162
+ Args:
163
+ graph_data: List of graph data objects
164
+ extracted_answers: List of dicts with edge_to_add
165
+
166
+ Returns:
167
+ accuracy: accuracy
168
+ evaluation_results: dict containing detailed evaluation results and statistics
169
+ """
170
+ correct_count = 0
171
+ total_count = len(graph_data)
172
+ evaluation_results = []
173
+
174
+ for i, (graph, answer) in enumerate(zip(graph_data, extracted_answers)):
175
+ # Check answer format
176
+ if "error" in answer:
177
+ evaluation_results.append({
178
+ "is_correct": False,
179
+ "error": answer["error"]
180
+ })
181
+ continue
182
+
183
+ if "edge_to_add" not in answer:
184
+ evaluation_results.append({
185
+ "is_correct": False,
186
+ "error": "Missing edge_to_add in answer"
187
+ })
188
+ continue
189
+
190
+ # Get edge to add
191
+ edge_to_add = answer["edge_to_add"]
192
+ if len(edge_to_add) != 2:
193
+ evaluation_results.append({
194
+ "is_correct": False,
195
+ "error": f"Invalid edge format: {edge_to_add}"
196
+ })
197
+ continue
198
+
199
+ # Get original edge index and node count
200
+ original_edge_index = graph["edge_index"] # Shape [2,N]
201
+ num_nodes = graph["num_nodes"]
202
+
203
+ # Ensure original_edge_index is 2D array
204
+ if len(original_edge_index.shape) == 1:
205
+ original_edge_index = original_edge_index.reshape(2, -1)
206
+
207
+ # Validate node index range
208
+ if edge_to_add[0] >= num_nodes or edge_to_add[1] >= num_nodes:
209
+ evaluation_results.append({
210
+ "is_correct": False,
211
+ "error": f"Node indices out of range: {edge_to_add}, max index is {num_nodes-1}"
212
+ })
213
+ continue
214
+
215
+ # Calculate original number of connected components
216
+ original_components = graph["num_components"]
217
+
218
+ # Add new edge, maintaining [2,N] shape
219
+ new_edge = np.array([[edge_to_add[0]], [edge_to_add[1]]], dtype=np.int64)
220
+ new_edge_index = np.concatenate([original_edge_index, new_edge], axis=1)
221
+
222
+ # Calculate new number of connected components
223
+ new_components = count_connected_components(new_edge_index, num_nodes)
224
+
225
+ # Check if correct (number of connected components should decrease)
226
+ is_correct = new_components < original_components
227
+
228
+ if is_correct:
229
+ correct_count += 1
230
+
231
+ evaluation_results.append({
232
+ "is_correct": is_correct,
233
+ "edge_added": edge_to_add,
234
+ "original_components": original_components,
235
+ "new_components": new_components
236
+ })
237
+
238
+ # Calculate accuracy
239
+ accuracy = correct_count / total_count if total_count > 0 else 0
240
+
241
+ # Add statistics
242
+ stats = {
243
+ "total_samples": total_count,
244
+ "correct_count": correct_count,
245
+ "wrong_count": total_count - correct_count,
246
+ "accuracy": accuracy
247
+ }
248
+
249
+ return accuracy, {
250
+ "statistics": stats,
251
+ "detailed_results": evaluation_results
252
+ }
253
+
254
+ def evaluate_filtration_edge_construction(self, graph_data, extracted_answers):
255
+ """
256
+ Evaluate filtration edge construction accuracy
257
+
258
+ Args:
259
+ graph_data: List of graph data objects
260
+ extracted_answers: List of dicts with sorted_edges
261
+
262
+ Returns:
263
+ accuracy: accuracy
264
+ evaluation_results: dict containing detailed evaluation results and statistics
265
+ """
266
+ correct_count = 0
267
+ total_count = len(extracted_answers)
268
+ evaluation_results = []
269
+
270
+ for i, answer in enumerate(extracted_answers):
271
+ if i >= len(graph_data):
272
+ break
273
+
274
+ # get correct answer (sorted_edges)
275
+ correct_edges = graph_data[i]["sorted_edges"]
276
+
277
+ # get predicted answer (filtration dictionary)
278
+ predicted_filtration = answer["filtration"]
279
+
280
+ # convert predicted filtration to edge list format
281
+ predicted_edges = []
282
+ for value, edges in predicted_filtration.items():
283
+ for u, v in edges:
284
+ predicted_edges.append((u, v, float(value)))
285
+
286
+ # sort edges by weight (ascending)
287
+ predicted_edges.sort(key=lambda x: x[2])
288
+
289
+ # check if correct
290
+ is_correct = len(predicted_edges) == len(correct_edges)
291
+ if is_correct:
292
+ for pred, corr in zip(predicted_edges, correct_edges):
293
+ if pred != corr:
294
+ is_correct = False
295
+ break
296
+
297
+ if is_correct:
298
+ correct_count += 1
299
+
300
+ # record detailed evaluation results
301
+ evaluation_result = {
302
+ "is_correct": is_correct,
303
+ "predicted_edges": predicted_edges,
304
+ "correct_edges": correct_edges,
305
+ "edge_count_match": len(predicted_edges) == len(correct_edges),
306
+ "edge_order_match": is_correct
307
+ }
308
+ evaluation_results.append(evaluation_result)
309
+
310
+ # calculate accuracy
311
+ accuracy = correct_count / total_count if total_count > 0 else 0
312
+
313
+ # prepare statistics
314
+ stats = {
315
+ "total_samples": total_count,
316
+ "correct_count": correct_count,
317
+ "wrong_count": total_count - correct_count,
318
+ "accuracy": accuracy
319
+ }
320
+
321
+ return accuracy, {
322
+ "statistics": stats,
323
+ "detailed_results": evaluation_results
324
+ }
325
+
326
+ def evaluate_simplicial_complex_construction(self, graph_data, extracted_answers):
327
+ """
328
+ Evaluate simplicial complex construction accuracy
329
+
330
+ Args:
331
+ graph_data: List of graph data objects
332
+ extracted_answers: List of dicts with simplicial_complexes
333
+
334
+ Returns:
335
+ accuracy: accuracy
336
+ evaluation_results: dict containing detailed evaluation results and statistics
337
+ """
338
+ correct_count = 0
339
+ total_count = len(extracted_answers)
340
+ evaluation_results = []
341
+
342
+ for i, answer in enumerate(extracted_answers):
343
+ if i >= len(graph_data):
344
+ break
345
+
346
+ # get correct answer (2-dimensional simplices)
347
+ correct_simplices = {}
348
+ for simplex, value in graph_data[i]["simplex"]:
349
+ if len(simplex) == 3: # only process 2-dimensional simplices
350
+ if value not in correct_simplices:
351
+ correct_simplices[value] = []
352
+ correct_simplices[value].append(sorted(simplex))
353
+
354
+ # get predicted answer
355
+ predicted_simplices = answer.get("simplicial_complexes", {})
356
+
357
+ is_correct = True
358
+
359
+ # check all filtration values
360
+ all_values = set(list(correct_simplices.keys()) + list(predicted_simplices.keys()))
361
+ for value in all_values:
362
+ correct = sorted([sorted(s) for s in correct_simplices.get(value, [])])
363
+ predicted = sorted([sorted(s) for s in predicted_simplices.get(value, [])])
364
+
365
+ if correct != predicted:
366
+ is_correct = False
367
+ break
368
+
369
+ if is_correct:
370
+ correct_count += 1
371
+
372
+ # record detailed evaluation results
373
+ evaluation_result = {
374
+ "is_correct": is_correct,
375
+ "predicted_simplices": predicted_simplices,
376
+ "correct_simplices": correct_simplices,
377
+ "value_match": is_correct
378
+ }
379
+ evaluation_results.append(evaluation_result)
380
+
381
+ # calculate accuracy
382
+ accuracy = correct_count / total_count if total_count > 0 else 0
383
+
384
+
385
+ stats = {
386
+ "total_samples": total_count,
387
+ "correct_count": correct_count,
388
+ "wrong_count": total_count - correct_count,
389
+ "accuracy": accuracy
390
+ }
391
+
392
+ return accuracy, {
393
+ "statistics": stats,
394
+ "detailed_results": evaluation_results
395
+ }
396
+
397
+ def evaluate_M_Merge(self, graph_data, extracted_answers):
398
+ """
399
+ Evaluate 0-dimensional persistent homology calculation accuracy
400
+
401
+ Args:
402
+ graph_data: List of graph data objects
403
+ extracted_answers: List of dictionaries containing death time of feature
404
+
405
+ Returns:
406
+ accuracy: accuracy
407
+ evaluation_results: dict containing detailed evaluation results and statistics
408
+ """
409
+ correct_count = 0
410
+ total_count = len(extracted_answers)
411
+ evaluation_results = []
412
+
413
+ for i, answer in enumerate(extracted_answers):
414
+ if i >= len(graph_data):
415
+ break
416
+
417
+ # get correct answer
418
+ correct_time = graph_data[i]["death_value"]
419
+
420
+ # get predicted answer
421
+ if "error" in answer:
422
+ is_correct = False
423
+ predicted_time = None
424
+ else:
425
+ predicted_time = answer.get("death_time", [None])[0] # Get first value from death_time list
426
+ is_correct = predicted_time == correct_time
427
+
428
+ if is_correct:
429
+ correct_count += 1
430
+
431
+ evaluation_result = {
432
+ "is_correct": is_correct,
433
+ "predicted_time": predicted_time,
434
+ "correct_time": correct_time
435
+ }
436
+ evaluation_results.append(evaluation_result)
437
+
438
+ accuracy = correct_count / total_count if total_count > 0 else 0
439
+
440
+ stats = {
441
+ "total_samples": total_count,
442
+ "correct_count": correct_count,
443
+ "wrong_count": total_count - correct_count,
444
+ "accuracy": accuracy
445
+ }
446
+
447
+ return accuracy, {
448
+ "statistics": stats,
449
+ "detailed_results": evaluation_results
450
+ }
451
+
452
+ def evaluate_M_Birth(self, graph_data, extracted_answers):
453
+ """
454
+ Evaluate 1-dimensional persistent homology calculation accuracy
455
+
456
+ Args:
457
+ graph_data: List of graph data objects
458
+ extracted_answers: List of dicts with persistent_features
459
+
460
+ Returns:
461
+ accuracy: accuracy
462
+ evaluation_results: dict containing detailed evaluation results and statistics
463
+ """
464
+ correct_count = 0
465
+ total_count = len(extracted_answers)
466
+ evaluation_results = []
467
+
468
+ for i, answer in enumerate(extracted_answers):
469
+ if i >= len(graph_data):
470
+ break
471
+
472
+ # get correct answer
473
+ correct_time = graph_data[i]["birth_value"]
474
+
475
+ # get predicted answer
476
+ if "error" in answer:
477
+ is_correct = False
478
+ predicted_time = None
479
+ else:
480
+ predicted_time = answer.get("birth_time", [None])[0] # Get first value from death_time list
481
+ is_correct = predicted_time == correct_time
482
+
483
+ if is_correct:
484
+ correct_count += 1
485
+
486
+ evaluation_result = {
487
+ "is_correct": is_correct,
488
+ "predicted_time": predicted_time,
489
+ "correct_time": correct_time
490
+ }
491
+ evaluation_results.append(evaluation_result)
492
+
493
+ accuracy = correct_count / total_count if total_count > 0 else 0
494
+
495
+ stats = {
496
+ "total_samples": total_count,
497
+ "correct_count": correct_count,
498
+ "wrong_count": total_count - correct_count,
499
+ "accuracy": accuracy
500
+ }
501
+
502
+ return accuracy, {
503
+ "statistics": stats,
504
+ "detailed_results": evaluation_results
505
+ }
506
+ def evaluate_M_Filtration(self, graph_data, extracted_answers):
507
+ """
508
+ Evaluate filtration_features_count accuracy
509
+
510
+ Args:
511
+ graph_data: List of graph data objects
512
+ extracted_answers: filtration_features_count number
513
+
514
+ Returns:
515
+ accuracy: accuracy
516
+ evaluation_results: dict containing detailed evaluation results and statistics
517
+ """
518
+ correct_count = 0
519
+ total_count = len(extracted_answers)
520
+ evaluation_results = []
521
+
522
+ for i, answer in enumerate(extracted_answers):
523
+ if i >= len(graph_data):
524
+ break
525
+
526
+ # get correct answer
527
+ correct_n = graph_data[i]["t3_0dim"]
528
+
529
+ # get predicted answer
530
+ if "error" in answer:
531
+ is_correct = False
532
+ predicted_count = None
533
+ else:
534
+ predicted_count = answer.get("connected_components", [None])[0] # Get first value from death_time list
535
+ is_correct = predicted_count == correct_n
536
+
537
+ if is_correct:
538
+ correct_count += 1
539
+
540
+ evaluation_result = {
541
+ "is_correct": is_correct,
542
+ "predicted_count": predicted_count,
543
+ "correct_count": correct_n
544
+ }
545
+ evaluation_results.append(evaluation_result)
546
+
547
+ accuracy = correct_count / total_count if total_count > 0 else 0
548
+
549
+ stats = {
550
+ "total_samples": total_count,
551
+ "correct_count": correct_count,
552
+ "wrong_count": total_count - correct_count,
553
+ "accuracy": accuracy
554
+ }
555
+
556
+ return accuracy, {
557
+ "statistics": stats,
558
+ "detailed_results": evaluation_results
559
+ }
560
+ def _check_edge_sorting(self, edge_sorting, graph_data):
561
+ """Check if edge sorting is correct"""
562
+
563
+ try:
564
+
565
+ if not edge_sorting:
566
+ return False
567
+
568
+
569
+ for i in range(1, len(edge_sorting)):
570
+ if edge_sorting[i][2] < edge_sorting[i-1][2]:
571
+ return False
572
+
573
+ return True
574
+ except:
575
+ return False
576
+
577
+
578
+
579
+ def evaluate_H_Selection(self, graph_data, extracted_answers) -> Tuple[float, Dict]:
580
+ """
581
+ Evaluate filtration method selection ranking statistics
582
+
583
+ Args:
584
+ graph_data: List of graph data objects, where graph_data[2i].better_filter contains correct answer
585
+ extracted_answers: List of dicts with selected_method
586
+
587
+ Returns:
588
+ Tuple of (accuracy, detailed results dict)
589
+ """
590
+ detailed_results = []
591
+
592
+ all_ranks = []
593
+ top1_count = 0
594
+ top2_count = 0
595
+ top3_count = 0
596
+
597
+ for i, answer in enumerate(extracted_answers):
598
+ if answer is None or answer.get("selected_method") is None:
599
+ detailed_results.append({
600
+ "reason": "No valid answer extracted"
601
+ })
602
+ continue
603
+
604
+ graph_idx = i
605
+ if graph_idx >= len(graph_data):
606
+ break
607
+
608
+ predicted_method = answer["selected_method"]
609
+ if predicted_method == 'weight':
610
+ predicted_method = 'e'
611
+ if predicted_method == "k-shell":
612
+ predicted_method = "k_shell"
613
+ dist_features = {'dist_k_shell': graph_data[graph_idx][0]['dist_k_shell'], 'dist_closeness': graph_data[graph_idx][0]['dist_closeness'], 'dist_e': graph_data[graph_idx][0]['dist_e'], 'dist_betweenness': graph_data[graph_idx][0]['dist_betweenness'], 'dist_degree': graph_data[graph_idx][0]['dist_degree'], 'dist_eigenvector': graph_data[graph_idx][0]['dist_eigenvector']}
614
+
615
+ predicted_rank = None
616
+ current_rank = 1
617
+ current_distance = None
618
+ same_rank_count = 0
619
+
620
+ for method, distance in dist_features.items():
621
+ if current_distance is not None and distance != current_distance:
622
+ current_rank += same_rank_count
623
+ same_rank_count = 0
624
+ current_distance = distance
625
+ elif current_distance is None:
626
+ current_distance = distance
627
+
628
+ if method.replace('dist_', '') == predicted_method:
629
+ predicted_rank = current_rank
630
+ all_ranks.append(current_rank)
631
+ if current_rank == 1:
632
+ top1_count += 1
633
+ if current_rank <= 2:
634
+ top2_count += 1
635
+ if current_rank <= 3:
636
+ top3_count += 1
637
+ break
638
+
639
+ same_rank_count += 1
640
+
641
+ detailed_results.append({
642
+ "predicted": predicted_method,
643
+ "predicted_rank": predicted_rank,
644
+ "method_rankings": dict(dist_features)
645
+ })
646
+
647
+ ranking_stats = {
648
+ 'mean_rank': sum(all_ranks) / len(all_ranks) if all_ranks else float('inf'),
649
+ 'min_rank': min(all_ranks) if all_ranks else float('inf'),
650
+ 'max_rank': max(all_ranks) if all_ranks else float('inf'),
651
+ 'std_rank': statistics.stdev(all_ranks) if len(all_ranks) > 1 else 0,
652
+ 'total_predictions': len(all_ranks),
653
+ 'top1_count': top1_count,
654
+ 'top2_count': top2_count,
655
+ 'top3_count': top3_count,
656
+ 'top1_ratio': top1_count / len(all_ranks) if all_ranks else 0,
657
+ 'top2_ratio': top2_count / len(all_ranks) if all_ranks else 0,
658
+ 'top3_ratio': top3_count / len(all_ranks) if all_ranks else 0
659
+ }
660
+
661
+ return 0.0, {
662
+ "statistics": {
663
+ **ranking_stats
664
+ },
665
+ "detailed_results": detailed_results
666
+ }
667
+
668
+ def evaluate_H_Generation(self, graph_data, extracted_answers) -> Tuple[float, Dict]:
669
+ """
670
+ 评估过滤序列选择的排名统计
671
+
672
+ Args:
673
+ graph_data: List of graph data objects
674
+ extracted_answers: List of dicts with selected_filtration_values field
675
+
676
+ Returns:
677
+ Tuple (accuracy, detailed_results_dict)
678
+ """
679
+ total = 0
680
+ detailed_results = []
681
+
682
+ for i, answer in enumerate(extracted_answers):
683
+ if i >= len(graph_data):
684
+ break
685
+
686
+ if answer is None or "selected_filtration_values" not in answer:
687
+ detailed_results.append({
688
+ "reason": "No valid answer extracted"
689
+ })
690
+ continue
691
+
692
+ graph1 = graph_data[i][0]
693
+
694
+ selected_values = answer["selected_filtration_values"]
695
+ if isinstance(selected_values, (int, float)):
696
+ selected_values = [[selected_values]]
697
+ elif isinstance(selected_values, (list, tuple)) and not any(isinstance(x, (list, tuple)) for x in selected_values):
698
+ selected_values = [selected_values]
699
+
700
+ selected_distances = []
701
+ selected_ranks = []
702
+
703
+ for seq in selected_values:
704
+ if not isinstance(seq, (list, tuple)):
705
+ seq = [seq]
706
+ seq_tuple = tuple(sorted(float(x) if isinstance(x, (int, float)) else x for x in seq))
707
+
708
+ found_match = False
709
+ current_rank = 1
710
+ current_distance = None
711
+ same_rank_count = 0
712
+ sorted_distances = json.loads(graph1['sorted_distances'])
713
+ for item in sorted_distances:
714
+ curr_seq = item['nodes']
715
+ distance = item['distance']
716
+ curr_seq_tuple = tuple(sorted(float(x) if isinstance(x, (int, float)) else x for x in curr_seq))
717
+
718
+ if current_distance is not None and distance != current_distance:
719
+ current_rank += same_rank_count
720
+ same_rank_count = 0
721
+ current_distance = distance
722
+ elif current_distance is None:
723
+ current_distance = distance
724
+
725
+ if curr_seq_tuple == seq_tuple:
726
+ selected_distances.append(float(distance))
727
+ selected_ranks.append(current_rank)
728
+ found_match = True
729
+ break
730
+
731
+ same_rank_count += 1
732
+
733
+ if not found_match:
734
+ selected_distances.append(float('inf'))
735
+ selected_ranks.append(len(graph1.sorted_distances) + 1)
736
+
737
+ rank = sum(selected_ranks) / len(selected_ranks) if selected_ranks else float('inf')
738
+
739
+ in_top3 = sum(1 for rank in selected_ranks if rank <= 3)
740
+ in_top10 = sum(1 for rank in selected_ranks if rank <= 10)
741
+ top3 = in_top3 / len(selected_ranks) if selected_ranks else 0
742
+ top10 = in_top10 / len(selected_ranks) if selected_ranks else 0
743
+
744
+ total += 1
745
+
746
+ detailed_results.append({
747
+ "selected_ranks": selected_ranks,
748
+ "selected_distances": selected_distances,
749
+ "rank": float(rank),
750
+ "top3": float(top3),
751
+ "top10": float(top10),
752
+ "original_values": selected_values
753
+ })
754
+
755
+ valid_results = [r for r in detailed_results if "rank" in r]
756
+ rank_list = [r["rank"] for r in valid_results]
757
+
758
+ avg_stats = {
759
+ "mean_rank": float(sum(rank_list) / len(rank_list)) if rank_list else float('inf'),
760
+ "top3": float(sum(r["top3"] for r in valid_results) / len(valid_results)) if valid_results else 0.0,
761
+ "top10": float(sum(r["top10"] for r in valid_results) / len(valid_results)) if valid_results else 0.0,
762
+ "std_rank": float(statistics.stdev(rank_list)) if len(rank_list) > 1 else 0.0
763
+ }
764
+
765
+ return 0.0, {
766
+ "statistics": {
767
+ "total": int(total),
768
+ **avg_stats
769
+ },
770
+ "detailed_results": detailed_results
771
+ }
772
+
773
+ def evaluate_R_Classification(self, graph_data, extracted_answers):
774
+ correct_count = 0
775
+ total_count = len(extracted_answers)
776
+ evaluation_results = []
777
+
778
+ ground_truth_sorted = sorted([sorted([1, 2]), sorted([3, 4])])
779
+
780
+ for i, answer in enumerate(extracted_answers):
781
+ if "error" in answer or "categories" not in answer:
782
+ evaluation_results.append({
783
+ "index": i,
784
+ "is_correct": False,
785
+ "reason": "Missing or invalid 'categories' field",
786
+ "predicted": None,
787
+ "expected": ground_truth_sorted
788
+ })
789
+ continue
790
+
791
+ predicted = answer["categories"]
792
+
793
+ try:
794
+ predicted_sorted = sorted([sorted(group) for group in predicted])
795
+ is_correct = predicted_sorted == ground_truth_sorted
796
+ except Exception as e:
797
+ is_correct = False
798
+ predicted_sorted = None
799
+
800
+ if is_correct:
801
+ correct_count += 1
802
+
803
+ evaluation_results.append({
804
+ "index": i,
805
+ "is_correct": is_correct,
806
+ "predicted": predicted,
807
+ "expected": ground_truth_sorted
808
+ })
809
+
810
+ accuracy = correct_count / total_count if total_count > 0 else 0.0
811
+
812
+ stats = {
813
+ "total_samples": total_count,
814
+ "correct_count": correct_count,
815
+ "wrong_count": total_count - correct_count,
816
+ "accuracy": accuracy
817
+ }
818
+
819
+ return accuracy, {
820
+ "statistics": stats,
821
+ "detailed_results": evaluation_results
822
+ }
823
+
824
+
825
+ def evaluate_R_Selection(self, graph_data, extracted_answers):
826
+ """
827
+ Evaluate whether the selected filtration method is correct based on method_dict.
828
+
829
+ Args:
830
+ graph_data: List of graph data entries, where each entry is a tuple (graph, ...) and graph.method_dict is a dict
831
+ extracted_answers: List of dicts with key 'selected_method'
832
+
833
+ Returns:
834
+ accuracy: float
835
+ result_summary: dict with statistics and detailed evaluation results
836
+ """
837
+ correct_count = 0
838
+ total_count = len(extracted_answers)
839
+ evaluation_results = []
840
+
841
+ for i, answer in enumerate(extracted_answers):
842
+ if i >= len(graph_data):
843
+ break
844
+
845
+ method_dict = {
846
+ 'weight': graph_data[i][0]['method_weight'],
847
+ 'degree': graph_data[i][0]['method_degree'],
848
+ 'betweenness': graph_data[i][0]['method_betweenness'],
849
+ 'k_shell': graph_data[i][0]['method_k_shell'],
850
+ 'closeness': graph_data[i][0]['method_closeness'],
851
+ 'eigenvector': graph_data[i][0]['method_eigenvector']
852
+ }
853
+
854
+ if "error" in answer or "selected_method" not in answer:
855
+ evaluation_results.append({
856
+ "index": i,
857
+ "is_correct": False,
858
+ "predicted_method": answer.get("selected_method", None),
859
+ "expected_methods": [k for k, v in method_dict.items() if v],
860
+ "reason": "No valid method extracted"
861
+ })
862
+ continue
863
+ predicted_method = answer.get("selected_method")
864
+
865
+ if predicted_method not in method_dict:
866
+ return {"error": f"Invalid method selected: {predicted_method}"}
867
+
868
+ is_correct = bool(method_dict[predicted_method])
869
+
870
+ if is_correct:
871
+ correct_count += 1
872
+
873
+ evaluation_results.append({
874
+ "index": i,
875
+ "is_correct": is_correct,
876
+ "predicted_method": predicted_method,
877
+ "expected_methods": [k for k, v in method_dict.items() if v]
878
+ })
879
+
880
+ accuracy = correct_count / total_count if total_count > 0 else 0.0
881
+
882
+ stats = {
883
+ "total_samples": total_count,
884
+ "correct_count": correct_count,
885
+ "wrong_count": total_count - correct_count,
886
+ "accuracy": accuracy
887
+ }
888
+
889
+ return accuracy, {
890
+ "statistics": stats,
891
+ "detailed_results": evaluation_results
892
+ }
893
+
894
+ def evaluate_R_Generation(self, graph_data, extracted_answers):
895
+ """
896
+ Evaluate predictions based on filtration_values using check_filt_value().
897
+
898
+ Args:
899
+ graph_data: List of graph data objects
900
+ extracted_answers: List of dicts with key 'filtration_values'
901
+
902
+ Returns:
903
+ accuracy: float
904
+ result_summary: dict with statistics and detailed evaluation results
905
+ """
906
+ correct_count = 0
907
+ total_count = len(extracted_answers)
908
+ evaluation_results = []
909
+
910
+ for i, answer in enumerate(extracted_answers):
911
+ if i >= len(graph_data):
912
+ break
913
+
914
+ if "error" in answer or "filtration_values" not in answer:
915
+ evaluation_results.append({
916
+ "index": i,
917
+ "is_correct": False,
918
+ "predicted_values": answer.get("filtration_values", None),
919
+ "reason": "No valid filtration_values extracted"
920
+ })
921
+ continue
922
+
923
+ filtration_values = answer["filtration_values"]
924
+
925
+ is_correct,distances = check_graph_group(graph_data[i], method='weight',pre_calculate=False,filt_value=filtration_values)
926
+
927
+ if is_correct:
928
+ correct_count += 1
929
+ correct = "True"
930
+ else:
931
+ correct = "False"
932
+ evaluation_results.append({
933
+ "index": i,
934
+ "is_correct": correct,
935
+ "predicted_values": filtration_values,
936
+ "correct": correct
937
+ })
938
+
939
+ accuracy = correct_count / total_count if total_count > 0 else 0.0
940
+
941
+ stats = {
942
+ "total_samples": total_count,
943
+ "correct_count": correct_count,
944
+ "wrong_count": total_count - correct_count,
945
+ "accuracy": accuracy
946
+ }
947
+
948
+ return accuracy, {
949
+ "statistics": stats,
950
+ "detailed_results": evaluation_results
951
+ }
evaluate_code/extract.py ADDED
@@ -0,0 +1,633 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from typing import Dict, List, Any
2
+ import re
3
+
4
+ def _extract_section(text: str, start_marker: str, end_marker: str) -> str:
5
+ """Extract content between two markers"""
6
+ start = text.find(start_marker)
7
+ if start == -1:
8
+ return ""
9
+ start += len(start_marker)
10
+ end = text.find(end_marker, start)
11
+ if end == -1:
12
+ return ""
13
+ return text[start:end].strip()
14
+
15
+ class AnswerExtractor:
16
+ def __init__(self, task_name):
17
+ """Initialize answer extractor"""
18
+ self.task_name = task_name
19
+
20
+ def extract_answers(self, response):
21
+ """Extract answers based on task type"""
22
+ try:
23
+ task_extractors = {
24
+ "S_0D": self.extract_S_0D,
25
+ "S_1D": self.extract_S_1D,
26
+ "S_Modification": self.extract_S_Modification,
27
+ "M_Birth": self.extract_M_Birth,
28
+ "M_Merge": self.extract_M_Merge,
29
+ "M_Filtration": self.extract_M_Filtration,
30
+ "H_Selection": self.extract_H_Selection,
31
+ "H_Generation": self.extract_H_Generation,
32
+ "R_Selection": self.extract_R_Selection,
33
+ "R_Generation": self.extract_R_Generation,
34
+ "R_Directly": self.extract_R_Directly
35
+ }
36
+
37
+ answer = task_extractors.get(self.task_name)(response) if self.task_name in task_extractors else None
38
+
39
+ return answer
40
+ except Exception as e:
41
+ print(f"Error extracting answer: {str(e)}")
42
+ return None
43
+
44
+
45
+ def extract_S_0D(self, answer: str) -> Dict[str, Any]:
46
+ """Extract information from 0-dimensional topology structure identification answer"""
47
+ try:
48
+ # Extract the answer section
49
+ answer_section = answer
50
+ if "Answer:" in answer:
51
+ answer_section = answer.split("Answer:")[-1].strip()
52
+
53
+ # Extract the filtration value with more flexible pattern matching
54
+ value_match = re.search(r'connected components:\s*(\d+)', answer_section)
55
+ if not value_match:
56
+ return {"error": "connected components not found"}
57
+
58
+ # Parse the value
59
+ try:
60
+ value = int(value_match.group(1).strip())
61
+ return {
62
+ "connected_components": value
63
+ }
64
+ except ValueError as e:
65
+ return {"error": f"Error parsing value: {str(e)}"}
66
+
67
+ except Exception as e:
68
+ return {"error": f"Error during extraction: {str(e)}"}
69
+
70
+ def extract_S_1D(self, answer: str) -> Dict[str, Any]:
71
+ """Extract information from 1-dimensional topology structure identification answer"""
72
+ try:
73
+ # Extract the answer section
74
+ answer_section = answer
75
+ if "Answer:" in answer:
76
+ answer_section = answer.split("Answer:")[-1].strip()
77
+
78
+ # Extract the filtration value with more flexible pattern matching
79
+ value_match = re.search(r'cycle holes:\s*(\d+)', answer_section)
80
+ if not value_match:
81
+ return {"error": "cycle holes not found"}
82
+
83
+ # Parse the value
84
+ try:
85
+ value = int(value_match.group(1).strip())
86
+ return {
87
+ "cycle_holes": value
88
+ }
89
+ except ValueError as e:
90
+ return {"error": f"Error parsing value: {str(e)}"}
91
+
92
+ except Exception as e:
93
+ return {"error": f"Error during extraction: {str(e)}"}
94
+
95
+
96
+ def extract_S_Modification(self, answer: str) -> Dict[str, Any]:
97
+ """Extract information from graph structure modification answer"""
98
+ try:
99
+ # Extract the answer section
100
+ answer_section = answer
101
+ if "Answer:" in answer:
102
+ answer_section = answer.split("Answer:")[-1].strip()
103
+
104
+ # Try multiple matching patterns
105
+ patterns = [
106
+ r'Edge to add:\s*\[(.*?)\]', # Match "Edge to add: [0, 7]" format
107
+ r'Edge to add:\s*\((\d+)\s*,\s*(\d+)\)', # Match "Edge to add: (0, 7)" format
108
+ r'Edge to add:\s*(\d+)\s*-\s*(\d+)', # Match "Edge to add: 0-7" format
109
+ r'Edge to add:\s*(\d+)\s*,\s*(\d+)' # Match "Edge to add: 0, 7" format
110
+ ]
111
+
112
+ for pattern in patterns:
113
+ value_match = re.search(pattern, answer_section)
114
+ if value_match:
115
+ try:
116
+ if pattern == r'Edge to add:\s*\[(.*?)\]':
117
+ # Handle [0, 7] format
118
+ values_str = value_match.group(1).strip()
119
+ values = [int(x.strip()) for x in values_str.split(',')]
120
+ else:
121
+ # Handle other formats
122
+ values = [int(value_match.group(1)), int(value_match.group(2))]
123
+
124
+ return {
125
+ "edge_to_add": values
126
+ }
127
+ except (ValueError, IndexError):
128
+ continue
129
+
130
+ return {"error": "Edge to add not found or invalid format"}
131
+
132
+ except Exception as e:
133
+ return {"error": f"Error during extraction: {str(e)}"}
134
+
135
+
136
+ def extract_M_Birth(self, answer: str) -> Dict[str, Any]:
137
+ """Extract birth time calculation task answer"""
138
+ try:
139
+ # Extract the answer section
140
+ answer_section = answer
141
+ if "Answer:" in answer:
142
+ answer_section = answer.split("Answer:")[-1].strip()
143
+
144
+ # Extract the filtration value
145
+ value_match = re.search(r'birth time:\s*\[(.*?)\]', answer_section)
146
+ if not value_match:
147
+ return {"error": "birth_time not found"}
148
+
149
+ # Parse the values
150
+ try:
151
+ values = [self._parse_number(x) for x in value_match.group(1).split(',')]
152
+ return {
153
+ "birth_time": values
154
+ }
155
+ except ValueError as e:
156
+ return {"error": f"Error parsing : {str(e)}"}
157
+
158
+ except Exception as e:
159
+ return {"error": f"Error during extraction: {str(e)}"}
160
+
161
+ def extract_M_Merge(self, answer: str) -> Dict[str, Any]:
162
+ """Extract information from 0-dimensional persistent homology calculation task answer"""
163
+ try:
164
+ # Extract the answer section
165
+ answer_section = answer
166
+ if "Answer:" in answer:
167
+ answer_section = answer.split("Answer:")[-1].strip()
168
+
169
+ # Extract the filtration value
170
+ value_match = re.search(r'death time:\s*\[(.*?)\]', answer_section)
171
+ if not value_match:
172
+ return {"error": "death_time not found"}
173
+
174
+ # Parse the values
175
+ try:
176
+ values = [self._parse_number(x) for x in value_match.group(1).split(',')]
177
+ return {
178
+ "death_time": values
179
+ }
180
+ except ValueError as e:
181
+ return {"error": f"Error parsing : {str(e)}"}
182
+
183
+ except Exception as e:
184
+ return {"error": f"Error during extraction: {str(e)}"}
185
+
186
+ def extract_M_Filtration(self,answer:str) -> Dict[str, Any]:
187
+ try:
188
+ # Extract the answer section
189
+ answer_section = answer
190
+ if "Answer:" in answer:
191
+ answer_section = answer.split("Answer:")[-1].strip()
192
+
193
+ # Extract the filtration value
194
+ value_match = re.search(r'connected components:\s*\[(.*?)\]', answer_section)
195
+ if not value_match:
196
+ return {"error": "connected components not found"}
197
+
198
+ # Parse the values
199
+ try:
200
+ values = [self._parse_number(x) for x in value_match.group(1).split(',')]
201
+ return {
202
+ "connected_components": values
203
+ }
204
+ except ValueError as e:
205
+ return {"error": f"Error parsing : {str(e)}"}
206
+
207
+ except Exception as e:
208
+ return {"error": f"Error during extraction: {str(e)}"}
209
+
210
+ def extract_H_Selection(self, answer: str) -> Dict[str, Any]:
211
+ """Extract selected filtration method from the response"""
212
+ try:
213
+ # Extract the answer section
214
+ answer_section = answer
215
+ if "Answer:" in answer:
216
+ answer_section = answer.split("Answer:")[-1].strip()
217
+ # Try multiple matching patterns
218
+ patterns = [
219
+ r'Method:\s*([\w-]+)', # Match "Method: k-shell" format
220
+ r'Method:\s*\[([\w-]+)\]', # Match "Method: [k-shell]" format
221
+ r'selected_method:\s*([\w-]+)', # Match "selected_method: k-shell" format
222
+ r'Selected Method:\s*([\w-]+)' # Match "Selected Method: k-shell" format
223
+ ]
224
+
225
+ for pattern in patterns:
226
+ value_match = re.search(pattern, answer_section, re.IGNORECASE)
227
+ if value_match:
228
+ method = value_match.group(1).strip().lower()
229
+ # Validate method name
230
+ valid_methods = ['degree', 'betweenness', 'k-shell', 'closeness', 'weight', 'eigenvector']
231
+ if method in valid_methods:
232
+ return {
233
+ "selected_method": method
234
+ }
235
+
236
+ return {"error": "Method not found or invalid"}
237
+
238
+ except Exception as e:
239
+ return {"error": f"Error during extraction: {str(e)}"}
240
+
241
+
242
+ def extract_H_Generation(self, answer: str) -> Dict[str, Any]:
243
+ """Extract information from filteration value selection task answer"""
244
+ try:
245
+ # Extract the answer section
246
+ answer_section = answer
247
+ if "Answer:" in answer:
248
+ answer_section = answer.split("Answer:")[-1].strip()
249
+
250
+ # Extract the filtration value
251
+ value_match = re.search(r'filtration value:\s*\[(.*?)\]', answer_section)
252
+ if not value_match:
253
+ return {"error": "Filtration value not found"}
254
+
255
+ # Parse the values
256
+ try:
257
+ values = [int(x.strip()) for x in value_match.group(1).split(',')]
258
+ return {
259
+ "selected_filtration_values": values
260
+ }
261
+ except ValueError as e:
262
+ return {"error": f"Error parsing filtration values: {str(e)}"}
263
+
264
+ except Exception as e:
265
+ return {"error": f"Error during extraction: {str(e)}"}
266
+
267
+ def extract_filtration_edge_construction(self, answer: str) -> Dict[str, Any]:
268
+ """Extract information from filtration edge construction task answer"""
269
+ result = {
270
+ "filtration": {}
271
+ }
272
+
273
+ try:
274
+ # Extract filtration process
275
+ filtration_section = _extract_section(answer, "===FILTRATION_START===", "===FILTRATION_END===")
276
+ result["filtration"] = self._parse_filtration_edges(filtration_section)
277
+
278
+ # Validate results
279
+ if not result["filtration"]:
280
+ print("Warning: Failed to extract filtration process")
281
+ print("Filtration process:", result["filtration"])
282
+
283
+ except Exception as e:
284
+ import traceback
285
+ print(f"Error during extraction: {str(e)}")
286
+ print("Error details:")
287
+ print(traceback.format_exc())
288
+ return result # Return partially parsed results instead of None
289
+
290
+ return result
291
+
292
+ def extract_simplicial_complex_construction(self, answer: str) -> Dict[str, Any]:
293
+ """
294
+ Extract answer for simplicial_complex_construction task
295
+
296
+ Parameters:
297
+ answer: Model generated answer text
298
+
299
+ Returns:
300
+ dict: Contains extracted simplicial complex information
301
+ """
302
+ try:
303
+ # Extract simplicial complex section
304
+ simplex_text = self._extract_section(answer, "===SIMPLICIAL_COMPLEX_START===", "===SIMPLICIAL_COMPLEX_END===")
305
+ if not simplex_text:
306
+ return {"error": "Simplicial complex section not found"}
307
+
308
+ # Parse simplicial complex
309
+ simplices = {}
310
+
311
+ for line in simplex_text.split('\n'):
312
+ line = line.strip()
313
+ if not line:
314
+ continue
315
+
316
+ # Check if it's a simplex
317
+ if line.startswith('[') and line.endswith(']'):
318
+ try:
319
+ # Parse node list and filtration value
320
+ content = line[1:-1] # Remove outer brackets
321
+ nodes_part, value_part = content.split('),')
322
+ nodes = [int(x.strip()) for x in nodes_part[1:].split(',')] # Remove inner brackets
323
+ value = float(value_part.strip())
324
+
325
+ if len(nodes) == 3: # Only process 2-dimensional simplices (triangles)
326
+ if value not in simplices:
327
+ simplices[value] = []
328
+ simplices[value].append(nodes)
329
+ except (ValueError, IndexError) as e:
330
+ print(f"Error parsing simplex: {line}, error: {str(e)}")
331
+ continue
332
+
333
+ return {
334
+ "simplicial_complexes": simplices
335
+ }
336
+
337
+ except Exception as e:
338
+ return {"error": f"Error during extraction: {str(e)}"}
339
+
340
+ def _parse_number(self, value_str: str) -> float:
341
+ """Parse number intelligently, try integer first, then float"""
342
+ value_str = value_str.strip()
343
+ try:
344
+ # Try parsing as integer first
345
+ return int(value_str)
346
+ except ValueError:
347
+ try:
348
+ # If integer parsing fails, try parsing as float
349
+ value = float(value_str)
350
+ # If it's an integer (no decimal part), return integer
351
+ if value.is_integer():
352
+ return int(value)
353
+ return value
354
+ except ValueError:
355
+ raise ValueError(f"Cannot parse number: {value_str}")
356
+
357
+ def extract_R_Selection(self, answer: str) -> Dict[str, Any]:
358
+ """Extract selected filtration method from the response"""
359
+ try:
360
+ # Extract the answer section
361
+ answer_section = answer
362
+ if "Answer:" in answer:
363
+ answer_section = answer.split("Answer:")[-1].strip()
364
+
365
+ # Try multiple matching patterns
366
+ patterns = [
367
+ r'Method:\s*(\w+)', # Match "Method: weight" format
368
+ r'Method:\s*\[(.*?)\]', # Match "Method: [weight]" format
369
+ r'selected_method:\s*(\w+)', # Match "selected_method: weight" format
370
+ r'Selected Method:\s*(\w+)' # Match "Selected Method: weight" format
371
+ ]
372
+
373
+ for pattern in patterns:
374
+ value_match = re.search(pattern, answer_section, re.IGNORECASE)
375
+ if value_match:
376
+ method = value_match.group(1).strip().lower()
377
+ # 验证方法名称是否有效
378
+ valid_methods = ['degree', 'betweenness', 'k-shell', 'closeness', 'weight','eigenvector']
379
+ if method in valid_methods:
380
+ return {
381
+ "selected_method": method
382
+ }
383
+
384
+ return {"error": "Method not found or invalid"}
385
+
386
+ except Exception as e:
387
+ return {"error": f"Error during extraction: {str(e)}"}
388
+
389
+
390
+ def extract_R_Generation(self, answer: str) -> Dict[str, Any]:
391
+ """Extract filtration values from the response"""
392
+ try:
393
+ # Extract content after "Answer:" if present
394
+ answer_section = answer
395
+ if "Answer:" in answer:
396
+ answer_section = answer.split("Answer:")[-1].strip()
397
+
398
+ # Match pattern like Filtration value: [0.1,0.4,0.5,...]
399
+ pattern = r'Filtration\s*value[s]?:\s*\[([^\]]+)\]'
400
+ match = re.search(pattern, answer_section, re.IGNORECASE)
401
+ if not match:
402
+ return {"error": "Filtration values not found"}
403
+
404
+ # Extract numbers inside brackets, split by comma and convert to float
405
+ nums_str = match.group(1)
406
+ values: List[float] = []
407
+ for part in nums_str.split(','):
408
+ part = part.strip()
409
+ if part:
410
+ try:
411
+ values.append(float(part))
412
+ except ValueError:
413
+ return {"error": f"Cannot convert '{part}' to float"}
414
+
415
+ return {"filtration_values": values}
416
+
417
+ except Exception as e:
418
+ return {"error": f"Error during extraction: {str(e)}"}
419
+
420
+ def extract_R_Directly(self, answer: str) -> Dict[str, Any]:
421
+ """Extract category classification from the response"""
422
+ # Get content after "Answer:" if present
423
+ if "Answer:" in answer:
424
+ answer_section = answer.split("Answer:")[-1].strip()
425
+ else:
426
+ answer_section = answer
427
+ pattern = r'Category:\s*[\[\(]\s*([\d\.\s,]+)[\]\)]\s*,\s*[\[\(]\s*([\d\.\s,]+)[\]\)]'
428
+ match = re.search(pattern, answer_section, re.IGNORECASE | re.DOTALL)
429
+ if not match:
430
+ return {"error": "Category format not found or incorrect"}
431
+
432
+ def parse_group(group_str: str) -> List[int]:
433
+ return [int(float(x.strip())) for x in group_str.split(',') if x.strip()]
434
+
435
+ category1 = parse_group(match.group(1))
436
+ category2 = parse_group(match.group(2))
437
+
438
+ all_indices = sorted(category1 + category2)
439
+ if all_indices != [1, 2, 3, 4]:
440
+ return {"error": f"Graph indices must be [1, 2, 3, 4], got: {all_indices}"}
441
+
442
+ return {
443
+ "categories": [category1, category2]
444
+ }
445
+
446
+ # def _parse_filtration_edges(self, section: str) -> Dict[float, List[Tuple[int, int]]]:
447
+ # """Parse filtration process, specific to the format of filtration edge construction task"""
448
+ # filtration = {}
449
+ # current_value = None
450
+ # for line in section.split('\n'):
451
+ # line = line.strip()
452
+ # if line.startswith('**Value='):
453
+ # value_part = line.replace('**', '').replace('Value=', '').strip()
454
+ # current_value = float(value_part)
455
+ # filtration[current_value] = []
456
+ # elif line.startswith('(') and line.endswith(')'):
457
+ # try:
458
+ # u, v = map(int, line[1:-1].split(','))
459
+ # filtration[current_value].append((u, v))
460
+ # except:
461
+ # print(f"Cannot parse edge: {line}")
462
+ # return filtration
463
+
464
+
465
+ # def extract_structure_identification(self, answer: str) -> Dict[str, Any]:
466
+ # """Extract information from topology structure identification answer"""
467
+ # result = {
468
+ # "cavities": [],
469
+ # "temporal_evolution": {}
470
+ # }
471
+
472
+ # # Extract cavity information
473
+ # if "2-DIMENSIONAL CAVITIES:" in answer:
474
+ # cavities_section = self._extract_section(
475
+ # answer, "2-DIMENSIONAL CAVITIES:", "TEMPORAL EVOLUTION:"
476
+ # )
477
+ # result["cavities"] = self._extract_cavities(cavities_section)
478
+
479
+ # # Extract temporal evolution
480
+ # if "TEMPORAL EVOLUTION:" in answer:
481
+ # evolution_section = answer.split("TEMPORAL EVOLUTION:")[1]
482
+ # result["temporal_evolution"] = self._extract_temporal_evolution(evolution_section)
483
+
484
+ # return result
485
+
486
+
487
+ # def extract_simplex_structure_identification(self, answer: str) -> Dict[str, Any]:
488
+ # """Extract information from simplex structure identification answer"""
489
+ # result = {
490
+ # "simplex_count": 0
491
+ # }
492
+
493
+ # lines = answer.strip().split('\n')
494
+ # for line in lines:
495
+ # line = line.strip()
496
+ # if line.startswith('2维单纯形数量:'):
497
+ # count_str = line.split(':')[1].strip()
498
+ # try:
499
+ # result["simplex_count"] = int(count_str)
500
+ # except ValueError:
501
+ # # Keep default value 0 if cannot parse as integer
502
+ # pass
503
+
504
+ # return result
505
+
506
+ # def _extract_section(self, text: str, start_marker: str, end_marker: str) -> str:
507
+ # """Extract text between two markers"""
508
+ # if start_marker in text and end_marker in text:
509
+ # start_idx = text.find(start_marker) + len(start_marker)
510
+ # end_idx = text.find(end_marker)
511
+ # return text[start_idx:end_idx].strip()
512
+ # return ""
513
+
514
+
515
+
516
+
517
+ # def _extract_list(self, text: str) -> List:
518
+ # """Extract list from text"""
519
+ # items = text.split(':')[1].strip()
520
+ # if items.startswith('[') and items.endswith(']'):
521
+ # return eval(items)
522
+ # return []
523
+
524
+ # def _extract_feature_info(self, line: str) -> Dict[str, Any]:
525
+ # """Extract feature information from text"""
526
+ # info = {}
527
+ # if 'Birth time:' in line:
528
+ # info['birth'] = float(line.split(':')[1].strip())
529
+ # elif 'Death time:' in line:
530
+ # info['death'] = float(line.split(':')[1].strip())
531
+ # elif 'Persistence:' in line:
532
+ # info['persistence'] = float(line.split(':')[1].strip())
533
+ # elif 'Description:' in line:
534
+ # info['description'] = line.split(':')[1].strip()
535
+ # return info
536
+
537
+
538
+ # def _extract_cavities(self, text: str) -> List[Dict[str, Any]]:
539
+ # """Extract cavity information"""
540
+ # cavities = []
541
+ # current_cavity = None
542
+
543
+ # for line in text.split('\n'):
544
+ # if line.startswith('Cavity'):
545
+ # if current_cavity:
546
+ # cavities.append(current_cavity)
547
+ # current_cavity = {}
548
+ # elif current_cavity is not None and line.startswith('-'):
549
+ # key = line.split(':')[0].strip('- ').lower()
550
+ # value = line.split(':')[1].strip()
551
+ # if key in ['birth threshold', 'death threshold', 'persistence']:
552
+ # value = float(value)
553
+ # elif key in ['nodes', 'edges']:
554
+ # value = eval(value)
555
+ # current_cavity[key] = value
556
+
557
+ # if current_cavity:
558
+ # cavities.append(current_cavity)
559
+
560
+ # return cavities
561
+
562
+ # def _extract_temporal_evolution(self, text: str) -> Dict[float, Dict[str, List[int]]]:
563
+ # """Extract temporal evolution information"""
564
+ # evolution = {}
565
+ # current_threshold = None
566
+
567
+ # for line in text.split('\n'):
568
+ # if line.startswith('Threshold'):
569
+ # current_threshold = float(line.split()[1])
570
+ # evolution[current_threshold] = {
571
+ # 'active': [],
572
+ # 'new': [],
573
+ # 'disappeared': []
574
+ # }
575
+ # elif current_threshold is not None and line.startswith('-'):
576
+ # key = line.split(':')[0].strip('- ').lower()
577
+ # value = eval(line.split(':')[1].strip())
578
+ # evolution[current_threshold][key] = value
579
+
580
+ # return evolution
581
+
582
+ # def _extract_current_state(self, text: str) -> Dict[str, Any]:
583
+ # """Extract current state information"""
584
+ # state = {}
585
+ # for line in text.split('\n'):
586
+ # if line.startswith('- Number of cycles:'):
587
+ # state['cycles'] = int(line.split(':')[1].strip())
588
+ # elif line.startswith('- Cycle locations:'):
589
+ # state['locations'] = eval(line.split(':')[1].strip())
590
+ # return state
591
+
592
+ # def _extract_proposed_modifications(self, text: str) -> List[Dict[str, Any]]:
593
+ # """Extract proposed modifications"""
594
+ # modifications = []
595
+ # current_mod = None
596
+
597
+ # for line in text.split('\n'):
598
+ # if line.startswith('Modification'):
599
+ # if current_mod:
600
+ # modifications.append(current_mod)
601
+ # current_mod = {}
602
+ # elif current_mod is not None and line.startswith('-'):
603
+ # key = line.split(':')[0].strip('- ').lower()
604
+ # value = line.split(':')[1].strip()
605
+ # if key == 'new edge':
606
+ # value = tuple(map(int, value.split('-')))
607
+ # elif key == 'expected new cycles':
608
+ # value = eval(value)
609
+ # current_mod[key] = value
610
+
611
+ # if current_mod:
612
+ # modifications.append(current_mod)
613
+
614
+ # return modifications
615
+
616
+ # def _extract_expected_outcome(self, text: str) -> Dict[str, Any]:
617
+ # """Extract expected outcome"""
618
+ # outcome = {}
619
+ # for line in text.split('\n'):
620
+ # if line.startswith('- New number of cycles:'):
621
+ # outcome['new_cycles'] = int(line.split(':')[1].strip())
622
+ # elif line.startswith('- New cycle locations:'):
623
+ # outcome['new_locations'] = eval(line.split(':')[1].strip())
624
+ # elif line.startswith('- Changes in persistence:'):
625
+ # outcome['persistence_changes'] = line.split(':')[1].strip()
626
+ # return outcome
627
+
628
+
629
+
630
+
631
+
632
+
633
+
evaluate_code/graph_embed.py ADDED
@@ -0,0 +1,583 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ class GraphEmbedder:
2
+ def __init__(self, task_name):
3
+ """Initialize graph embedder (text format only)"""
4
+ self.embed_type = "text" # Fixed as text format
5
+ self.task_name = task_name
6
+
7
+ def embed_graph(self, graph_data):
8
+ """
9
+ Embed graph data into prompt
10
+
11
+ Parameters:
12
+ - graph_data: Graph data object
13
+ - task_type: Task type, can be one of:
14
+ - "filtration_edge_construction": Filtration edge construction task
15
+ - "simplicial_complex_construction": Simplicial complex construction task
16
+ - "persistent_homology_calculation": Persistent homology calculation task
17
+ - "node_addition": Node addition analysis task
18
+ - "structure_identification": Topological structure identification task
19
+ - "graph_modification": Graph structure modification task
20
+ - "topology_interpretation": Topological feature interpretation task
21
+ - "vector_representation": Topological feature vectorization task
22
+ - "noise_robustness": Noise robustness testing task
23
+
24
+ Returns:
25
+ - prompt: Prompt with embedded graph data
26
+ """
27
+
28
+ if self.task_name == "S_0D":
29
+ return self._create_S_0D_prompt(graph_data)
30
+ elif self.task_name == "S_1D":
31
+ return self._create_S_1D_prompt(graph_data)
32
+ elif self.task_name == "S_Modification":
33
+ return self._create_S_Modification_prompt(graph_data)
34
+ elif self.task_name == "M_Birth":
35
+ return self._create_M_Birth_prompt(graph_data)
36
+ elif self.task_name == "M_Merge":
37
+ return self._create_M_Merge_prompt(graph_data)
38
+ elif self.task_name=="M_Filtration":
39
+ return self._create_M_Filtration_prompt(graph_data)
40
+ elif self.task_name == "H_Selection":
41
+ return self._create_H_Selection_prompt(graph_data)
42
+ elif self.task_name == "H_Generation":
43
+ return self._create_H_Generation_prompt(graph_data)
44
+ elif self.task_name == "R_Selection":
45
+ return self._create_R_Selection_prompt(graph_data)
46
+ elif self.task_name == "R_Generation":
47
+ return self._create_R_Generation_prompt(graph_data)
48
+ elif self.task_name == "R_Directly":
49
+ return self._create_R_Directly_prompt(graph_data)
50
+ # elif task_type == "P_Prediction":
51
+ # return self._create_truedata_predict_prompt(graph_data)
52
+ else:
53
+ raise ValueError(f"Unsupported task type: {self.task_name}")
54
+
55
+ def _create_S_0D_prompt(self, graph_data):
56
+ """Create topological structure identification prompt"""
57
+ graph_desc = self._graph_to_text(graph_data,weight=False)
58
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Given the following graph structure:
59
+ Graph Structure:
60
+ {graph_desc}
61
+
62
+ Please calculate the number of connected component in this graph(vertex that not connected to other vertex is not a connected component).
63
+ And strictly answer in following format:
64
+ Answer:
65
+ connected components: n
66
+ (e.g.
67
+ Answer:
68
+ connected components: 3"""
69
+ def _create_S_1D_prompt(self, graph_data):
70
+ """Create topological structure identification prompt"""
71
+ graph_desc = self._graph_to_text(graph_data,weight=False)
72
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Given the following graph structure:
73
+ Graph Structure:
74
+ {graph_desc}
75
+ Please identify if 1-dimensional features (cycle holes) exist in the graph.(triangles are not cycle holes)
76
+ And strictly answer in following format:
77
+ Answer:
78
+ cycle holes: n
79
+ (e.g.
80
+ Answer:
81
+ cycle holes: 3"""
82
+
83
+ def _create_S_Modification_prompt(self, graph_data):
84
+ """Create graph structure modification prompt"""
85
+ graph_desc = self._graph_to_text(graph_data,weight=False)
86
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Given the following graph structure:
87
+
88
+ Graph Structure:
89
+ {graph_desc}
90
+
91
+ Task:
92
+ Please identify the connected components in the graph and add one edge to reduce the number of connected components.
93
+
94
+ You can follow these steps:
95
+ Step1:Please identify the connected components in the graph.
96
+ Step2:Please add one edge between the different connected components.
97
+
98
+ Please strictly follow the format below:
99
+ Answer:
100
+ Edge to add: [u,v]
101
+ (e.g.
102
+ Answer:
103
+ Edge to add: [0,3]
104
+ """
105
+ def _create_M_Birth_prompt(self, graph_data):
106
+ """Create persistent homology calculation task prompt"""
107
+ graph_desc = self._graph_to_text(graph_data,weight=True)
108
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Please calculate persistent homology features based on the following graph structure.
109
+ Graph Structure:
110
+ {graph_desc}
111
+
112
+ Task:Calculate persistent homology on the graph below. There are 1-dimensional persistent features; please give the birth time of the earliest-born 1-dimensional feature.
113
+
114
+ You should follow these steps:
115
+ Step1:Add edges to the graph according to the edge weights(from smallest to largest,and if there are multiple edges with the same weight, should add them at the same time).
116
+ Step2:Find the edges that first construct a cycle(Triangle is not cycle,Cycle should be at least 4 edges).
117
+ Step3:The birth time is the weight of the edge.
118
+
119
+ Rule:
120
+ The cycle cannot be filled by other edges. (e.g. If [0,1], [1,2], [2,3] already exist, adding [3,0] and [3,1] simultaneously would fill the cycle[0,1,2,3] with triangles, so it doesn't count as a birth)
121
+
122
+ Please answer in the following format:
123
+
124
+ Answer:
125
+ birth time:[t]
126
+ (e.g.
127
+ Answer:
128
+ birth time:[3])
129
+ """
130
+
131
+ def _create_M_Merge_prompt(self, graph_data):
132
+ """Create persistent homology calculation task prompt"""
133
+ graph_desc = self._graph_to_text(graph_data,weight=True)
134
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Please calculate persistent homology features based on the following graph structure.
135
+ Graph Structure:
136
+ {graph_desc}
137
+ Task: There are 2 0-dimensional persistent features in the graph,and one 0-dimensional feature is dead at time t(t is a real number),please give the death time t.
138
+
139
+ You can follow these steps:
140
+ Step1:Add edges to the graph according to the edge weights,and record the connected components.
141
+ Step2:Find the edge that first connect two different connected components.
142
+ Step3:The death time t is the weight of the edge.
143
+
144
+ Please answer in the following format:
145
+ Answer:
146
+ death time:[t]
147
+ (e.g.
148
+ Answer:
149
+ death time:[4])
150
+ Please ensure final answer strictly follows above format.
151
+ """
152
+
153
+ def _create_M_Filtration_prompt(self,graph_data):
154
+ """Create filtration_features_count task prompt"""
155
+ graph_desc = self._graph_to_text(graph_data,weight=True)
156
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Now filter the simplicial complex on the following graph according to the edge weights.
157
+ Graph Structure:
158
+ {graph_desc}
159
+
160
+
161
+ Task:Count how many connected components are present at filtration value 3?
162
+
163
+ You can follow these steps:
164
+ Step1:Find the edges with weight less than or equal to 3.
165
+ Step2:Use the edges to construct a graph.
166
+ Step3:Count how many connected components are present in the graph.
167
+
168
+ Rule:Vertices are only introduced into the complex when their associated edges are added.
169
+
170
+ Please answer in the following format:
171
+
172
+ Answer:
173
+ connected components:[n]
174
+ (e.g.
175
+ Answer:
176
+ connected components:[3]
177
+ """
178
+ def _create_H_Selection_prompt(self, graph_data):
179
+ """Create filtration method selection prompt"""
180
+ graph_desc1 = self._graph_to_text(graph_data[0],weight=True)
181
+ graph_desc2 = self._graph_to_text(graph_data[1],weight=True)
182
+ return f""""You are a mathematical expert specializing in graph theory and persistent homology. Given the following two graph structures.
183
+ Graph structure:
184
+ graph1:
185
+ {graph_desc1}
186
+
187
+ graph2:
188
+ {graph_desc2}
189
+ Task:Please select a filtration method from the following 6 methods that can better distinguish between the two graphs(maximizes the Wasserstein distance between their persistence barcodes).
190
+ The 6 methods are (all methods filter from low value to high value):
191
+ Weight: Edge weight.
192
+ Degree: Number of edges connected to a node.
193
+ K-shell: Core level of a node based on iterative pruning by degree.
194
+ Closeness Centrality: Inverse of average shortest path to all other nodes.
195
+ Betweenness Centrality: Frequency a node lies on shortest paths between others.
196
+ Eigenvector Centrality: Node importance based on connections to other important nodes.
197
+
198
+ You can follow these steps:
199
+ 1.Analyze the graph's characteristics: Is it sparse or dense? Are there strong local clusters or more global bridge structures? Do edge weights vary significantly?
200
+ 2.Consider what kind of topological features should be emphasized in the filtration: peripheral nodes, local clusters, bridge nodes, or strong/weak connections.
201
+ 3.Match these needs to one of the complex filtration methods.
202
+
203
+ Your response should be in this format:
204
+ Answer:
205
+ Method: weight/degree/k_shell/closeness/betweenness/eigenvector
206
+ (e.g
207
+ Answer:
208
+ Method: k-shell
209
+ )
210
+ Please ensure your answer strictly follows this format.
211
+ """
212
+
213
+ def _create_H_Generation_prompt(self, graph_data):
214
+ """Create filteration value selection prompt"""
215
+ graph_desc1 = self._graph_to_text(graph_data[0])
216
+ graph_desc2 = self._graph_to_text(graph_data[1])
217
+ filtration_values = list(range(1,int(max(max(graph_data[0]['edge_attr']),max(graph_data[1]['edge_attr'])))+1))
218
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Given the following two graph structures:
219
+
220
+ graph1 structure:
221
+ {graph_desc1}
222
+
223
+ graph2 structure:
224
+ {graph_desc2}
225
+ Task:Please select a filtration value sequence from [1,2,3,4,5,6,7,8,9,10] that maximizes the difference between graph 1 and graph 2(maximizes the Wasserstein distance between their persistence barcodes).
226
+
227
+ You can follow these steps:
228
+ Step 1:Compare the structure of graph1 and graph2 to see which is denser, whether there are cycles,etc.
229
+ Step 2:From the given filtration values, identify values that trigger major topological changes in the graphs.
230
+ Step 3:Choose 5 filtration values that maximize the difference in persistence barcodes between the two graphs(the max filtration value should be 10).
231
+
232
+ Please answer in the following format:
233
+ Answer:
234
+ filtration value: [filtration value]
235
+ (e.g.
236
+ Answer:
237
+ filtration value: [1,3,4,7,10]
238
+ )
239
+ Please ensure your answer strictly follows this format.
240
+ """
241
+
242
+ def _create_R_Selection_prompt(self, graph_data):
243
+ """Create truedata filtration method selection prompt"""
244
+ graph_desc1 = self._graph_to_text(graph_data[0],weight=True)
245
+ graph_desc2 = self._graph_to_text(graph_data[1],weight=True)
246
+ graph_desc3 = self._graph_to_text(graph_data[2],weight=True)
247
+ graph_desc4 = self._graph_to_text(graph_data[3],weight=True)
248
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Given the following 4 graph structures (two categories of graphs, each category has 2 graphs, the index of graphs are random):
249
+ Graph1 Structure:
250
+ {graph_desc1}
251
+
252
+ Graph2 Structure:
253
+ {graph_desc2}
254
+
255
+ Graph3 Structure:
256
+ {graph_desc3}
257
+
258
+ Graph4 Structure:
259
+ {graph_desc4}
260
+
261
+ Task:Please select a filtration method from the following 6 methods that can classify the graph into 2 categories(each category has 2 graphs).
262
+
263
+ The 6 methods are (all methods filter from low value to high value):
264
+ Degree: Number of edges connected to a node.
265
+ Weight: Edge weight.
266
+ K-shell: Core level of a node based on iterative pruning by degree.
267
+ Closeness Centrality: Inverse of average shortest path to all other nodes.
268
+ Betweenness Centrality: Frequency a node lies on shortest paths between others.
269
+ Eigenvector Centrality: Node importance based on connections to other important nodes.
270
+
271
+ Your selection should be the method that can maximize the difference in persistence barcodes between the two categories and minimize the difference in persistence barcodes within the same category.
272
+
273
+ Please answer in the following format:
274
+ Answer:
275
+ Method: weight/degree/k-shell/closeness/betweenness/eigenvector
276
+ (e.g.
277
+ Answer:
278
+ Method: k-shell
279
+ )
280
+ Please ensure your answer strictly follows this format.
281
+ """
282
+
283
+ def _create_R_Generation_prompt(self, graph_data):
284
+ """Create truedata filteration value selection prompt"""
285
+ graph_desc1 = self._graph_to_text(graph_data[0],weight=True)
286
+ graph_desc2 = self._graph_to_text(graph_data[1],weight=True)
287
+ graph_desc3 = self._graph_to_text(graph_data[2],weight=True)
288
+ graph_desc4 = self._graph_to_text(graph_data[3],weight=True)
289
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Given the following 4 graph structures (two categories of graphs, each category 2 graphs, the index of graphs are random):
290
+ Graph1 Structure:
291
+ {graph_desc1}
292
+
293
+ Graph2 Structure:
294
+ {graph_desc2}
295
+
296
+ Graph3 Structure:
297
+ {graph_desc3}
298
+
299
+ Graph4 Structure:
300
+ {graph_desc4}
301
+
302
+ Task:Please select a filtration value sequence that can classify the graph into 2 categories(the persistence barcodes of the two different categories should be as different as possible and the same category should have similar persistence barcodes).
303
+
304
+ You can follow these steps:
305
+ Step1:Compare the structure of 4 graphs.
306
+ Step2:Choose filtration values sequence (from 0 to 1,sequence length not less than 2) that can maximize the difference in persistence barcodes between the two categories and minimize the difference in persistence barcodes within the same category.
307
+
308
+ Please answer in the following format:
309
+ Answer:
310
+ Filtration value: [filtration values]
311
+ (e.g.
312
+ Answer:
313
+ Filtration value: [0.1,0.4,0.5,0.6,0.9,1]
314
+ )
315
+ Please ensure your answer strictly follows this format.
316
+ """
317
+
318
+ def _create_filtration_edge_construction_prompt(self, graph_data):
319
+ """Create filtration edge construction task prompt"""
320
+ graph_desc = self._graph_to_text(graph_data)
321
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Please construct a filtration edge sequence based on the following graph structure.
322
+
323
+ Graph Structure:
324
+ {graph_desc}
325
+
326
+ Task: Construct filtration edges from the original edge list.
327
+ (e.g. Graph structure [0,1,3],[0,2,1],[1,3,2],[1,4,2],[2,3,3]
328
+ Filtration edge sequence:
329
+ Filtration value: 1
330
+ [0,2]
331
+ Filtration value: 2
332
+ [1,3],[1,4]
333
+ Filtration value: 3
334
+ [0,1],[2,3] )
335
+ Please strictly follow these steps:
336
+ 1. First sort the original edge list by weight in ascending order
337
+ 2. Divide edges added at each filtration value
338
+
339
+ Please answer in the following format:
340
+
341
+ ===FILTRATION_START===
342
+ For each different edge weight, list the edges added at that weight, format as:
343
+
344
+ **Value=1**
345
+ (1,2)
346
+
347
+ **Value=2**
348
+ (1,3)
349
+
350
+ **Value=3**
351
+ (2,3)
352
+
353
+ ...continue for other weights
354
+ ===FILTRATION_END===
355
+
356
+ Please ensure strict adherence to the above format. Do not add extra explanations, only include content required by the format
357
+ """
358
+
359
+ def _create_R_Directly_prompt(self, graph_data):
360
+ """Create truedata classfy prompt"""
361
+ graph_desc1 = self._graph_to_text(graph_data[0],weight=True)
362
+ graph_desc2 = self._graph_to_text(graph_data[1],weight=True)
363
+ graph_desc3 = self._graph_to_text(graph_data[2],weight=True)
364
+ graph_desc4 = self._graph_to_text(graph_data[3],weight=True)
365
+ return f"""You are a mathematical expert specializing in graph theory and persistent homology. Given the following 4 graph structures(two categories of graphs, each category has 2 graphs, the index of graphs are random):
366
+
367
+ Graph1 Structure:
368
+ {graph_desc1}
369
+
370
+ Graph2 Structure:
371
+ {graph_desc2}
372
+
373
+ Graph3 Structure:
374
+ {graph_desc3}
375
+
376
+ Graph4 Structure:
377
+ {graph_desc4}
378
+
379
+ Task:Please classify them into 2 categories(each category has 2 graphs) according to their topological structure.
380
+
381
+ Please answer in the following format:
382
+ Answer:
383
+ Category: [category1 graph index,category2 graph index]
384
+ (e.g.
385
+ Answer:
386
+ Category: [[1,3],[2,4]])
387
+ Please ensure your answer strictly follows this format.
388
+ """
389
+
390
+ def _graph_to_text(self, graph_data, weight=True, sort=True):
391
+ """图结构文本转换"""
392
+ num_nodes = graph_data['num_nodes']
393
+ num_edges = graph_data['num_edges']
394
+ edge_index = graph_data['edge_index']
395
+
396
+ # 收集所有边及其权重
397
+ edges = []
398
+ for i in range(0, len(edge_index), 2):
399
+ src = edge_index[i]
400
+ dst = edge_index[i + 1]
401
+ if weight:
402
+ weight_val = 1.0 # 默认权重为1
403
+ else:
404
+ weight_val = 1.0
405
+ edges.append((weight_val, src, dst))
406
+
407
+ if sort:
408
+ edges.sort(key=lambda x: x[0])
409
+
410
+ # Generate text
411
+ text = f"Graph with {num_nodes} nodes and {num_edges} edges:\n"
412
+ if weight:
413
+ for weight_val, src, dst in edges:
414
+ text += f"Node {src}-[{weight_val:.2f}]-Node {dst}\n"
415
+ else:
416
+ for weight_val, src, dst in edges:
417
+ text += f"Node {src}-Node {dst}\n"
418
+ return text
419
+
420
+ def _filt_edges_to_text(self, graph_data,sort=True):
421
+ """Convert filtration complex to text"""
422
+ num_nodes = graph_data['num_nodes']
423
+ num_edges = graph_data['num_edges']
424
+ edge_index = graph_data['edge_index']
425
+
426
+ edges = []
427
+ for i in range(edge_index.shape[1]):
428
+ src = edge_index[0, i].item()
429
+ dst = edge_index[1, i].item()
430
+ if hasattr(graph_data, 'edge_attr') and graph_data.edge_attr is not None:
431
+ weight = graph_data.edge_attr[i].item()
432
+ else:
433
+ weight = 1.0
434
+ edges.append((weight, src, dst))
435
+
436
+ if sort:
437
+ edges.sort(key=lambda x: x[0])
438
+
439
+ # Generate text
440
+ text = f"Graph with {num_nodes} nodes and {num_edges} edges:\n"
441
+ for weight, src, dst in edges:
442
+ text += f"Node {src}-[{weight:.2f}]-Node {dst}\n"
443
+ return text
444
+ def _complex_to_text(self, graph_data):
445
+ """Complex structure description"""
446
+ simplex = graph_data.task_simplex[0]
447
+ dim = len(simplex) - 1
448
+ verts = ", ".join(str(v) for v in simplex)
449
+
450
+ if dim == 0:
451
+ desc = f"vertex {verts}"
452
+ elif dim == 1:
453
+ a, b = simplex
454
+ desc = f"edge between {a} and {b}"
455
+ elif dim == 2:
456
+ a, b, c = simplex
457
+ desc = f"triangle with vertices {a}, {b}, {c}"
458
+ else:
459
+ desc = f"{dim}-simplex spanning vertices {verts}"
460
+
461
+ text = f"aim simplex: {desc}"
462
+ return text
463
+
464
+
465
+ def _ph_to_text(self, ph_data):
466
+ """Persistent homology barcode description"""
467
+ text = ""
468
+ for dim in ['0dim', '1dim']:
469
+ if dim in ph_data:
470
+ text += f"\n{dim} features:\n"
471
+ for i, (birth, death) in enumerate(ph_data[dim]):
472
+ persistence = death - birth
473
+ text += f"Feature {i}: birth {birth:.2f}, death {death:.2f}, persistence {persistence:.2f}\n"
474
+ return text
475
+
476
+ # def _create_simplicial_complex_construction_prompt(self, graph_data):
477
+ # """Create simplicial complex construction task prompt"""
478
+ # filt_edges_desc = self._filt_edges_to_text(graph_data)
479
+ # return f"""You are a mathematical expert specializing in graph theory and persistent homology. Please construct a simplicial complex sequence based on the following filtration edge sequence.
480
+
481
+ # Filtration Edge Sequence:
482
+ # {filt_edges_desc}
483
+
484
+ # Task: Build complex sequence (2-dimensional simplex) from filtration edge list.
485
+
486
+ # Please strictly follow these steps:
487
+ # 1. For each filtration value, build a complex containing that filtration value and all previous filtration values
488
+ # 2. Record new 2-dimensional simplices appearing at each filtration value (e.g. filtration value 1: [1,2],[2,3] filtration value 2: [1,3] appears 2-dimensional simplex [(1,2,3),2])
489
+
490
+ # Please answer in the following format:
491
+ # List simplicial complexes [(complex),filtration value]:
492
+ # ===SIMPLICIAL_COMPLEX_START===
493
+
494
+ # [(0,1,2),3]
495
+ # [(0,1,4),3]
496
+ # [(0,3,4),4]
497
+ # ...
498
+ # ===SIMPLICIAL_COMPLEX_END===
499
+
500
+ # Note:
501
+ # - 0-dimensional simplices are omitted, only list 1-dimensional and 2-dimensional simplices
502
+ # - 2-dimensional simplex is a triangle formed by three edges (all edge feature values are less than or equal to filtration value)
503
+
504
+ # Please ensure strict adherence to the above format. Do not add extra explanations, only include content required by the format
505
+ # """
506
+
507
+ # def _create_filteration_value_change_prompt(self, graph_data):
508
+ # edge_str = "graph structure:\n"
509
+ # edge_str += self._filt_edges_to_text(graph_data)
510
+
511
+
512
+ # pd_str = "current persistent homology results:\n"
513
+ # pd_str += self._ph_to_text(graph_data.vr_10_pd)
514
+
515
+ # question = f"""graph structure:{edge_str}
516
+ # current persistent homology results:{pd_str}
517
+ # if we reduce the filtration step from 10 to 5(filtration value[2,4,6,8,10]), will the number of 0-dimensional persistent features decrease?
518
+
519
+ # Please answer in the following format:
520
+ # Answer:
521
+ # Yes/No
522
+ # (e.g.
523
+ # Answer:
524
+ # Yes
525
+ # )
526
+ # """
527
+
528
+ # return question
529
+
530
+
531
+
532
+
533
+
534
+
535
+
536
+
537
+
538
+ # def _create_truedata_predict_prompt(self, graph_data):
539
+ # """Create truedata predict prompt"""
540
+ # graph_desc1 = self._graph_to_text(graph_data[0],weight=True)
541
+ # graph_desc2 = self._graph_to_text(graph_data[1],weight=True)
542
+ # graph_desc3 = self._graph_to_text(graph_data[2],weight=True)
543
+ # graph_desc4 = self._graph_to_text(graph_data[3],weight=True)
544
+ # graph_desc5 = self._graph_to_text(graph_data[4],weight=True)
545
+ # graph_desc6 = self._graph_to_text(graph_data[5],weight=True)
546
+ # graph_desc7 = self._graph_to_text(graph_data[6],weight=True)
547
+ # closing_price = [graph_data[0].y,graph_data[1].y,graph_data[2].y,graph_data[3].y,graph_data[4].y,graph_data[5].y,graph_data[6].y]
548
+ # return f"""You are a mathematical expert specializing in graph theory and persistent homology. Given the following seven-day ETH trading network and closing prices:
549
+
550
+ # day1:
551
+ # {graph_desc1}
552
+
553
+ # day2:
554
+ # {graph_desc2}
555
+
556
+ # day3:
557
+ # {graph_desc3}
558
+
559
+ # day4:
560
+ # {graph_desc4}
561
+
562
+ # day5:
563
+ # {graph_desc5}
564
+
565
+ # day6:
566
+ # {graph_desc6}
567
+
568
+ # day7:
569
+ # {graph_desc7}
570
+
571
+ # closing price list(from day):{closing_price}
572
+
573
+ # Task:Please predict the closing price of day8.
574
+
575
+ # Please answer in the following format:
576
+ # Answer:
577
+ # Closing price: [closing price]
578
+ # (e.g.
579
+ # Answer:
580
+ # Closing price: 1000
581
+ # )
582
+ # Please ensure your answer strictly follows this format.
583
+ # """
evaluate_code/llm_api.py ADDED
@@ -0,0 +1,126 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import os
2
+ from openai import OpenAI
3
+ from anthropic import Anthropic
4
+ import google.generativeai as genai
5
+ import requests
6
+ from dotenv import load_dotenv
7
+
8
+ load_dotenv()
9
+
10
+ class LLMCaller:
11
+ def __init__(self, model_name: str = "gpt-4.1-mini-2025-04-14"):
12
+ """
13
+ Initialize LLM model with unified interface
14
+
15
+ Parameters:
16
+ - model_name: Model name to use, defaults to "gpt-4.1-mini-2025-04-14"
17
+ """
18
+ self.model_name = model_name
19
+ self._setup_model()
20
+
21
+ def _setup_model(self):
22
+ """Setup model configuration based on model name"""
23
+ if self.model_name.startswith("gpt"):
24
+ self.client = OpenAI(
25
+ api_key=os.getenv("OPENAI_API_KEY"),
26
+ base_url="https://api.openai.com/v1"
27
+ )
28
+ self.api_type = "openai"
29
+ elif self.model_name.startswith("claude"):
30
+ self.client = Anthropic(
31
+ api_key=os.getenv("ANTHROPIC_API_KEY")
32
+ )
33
+ self.api_type = "anthropic"
34
+ elif self.model_name.startswith("deepseek"):
35
+ self.api_key = os.getenv("DEEPSEEK_API_KEY")
36
+ self.api_url = "https://api.deepseek.com/v1/chat/completions"
37
+ self.api_type = "deepseek"
38
+ elif self.model_name.startswith("gemini"):
39
+ genai.configure(api_key=os.getenv("GOOGLE_API_KEY"))
40
+ self.model = genai.GenerativeModel(self.model_name)
41
+ self.api_type = "gemini"
42
+ elif self.model_name in ["llama-3-70b", "mixtral-8x7b", "qwen-72b"]:
43
+ self.api_url = "http://localhost:8000/v1"
44
+ self.api_type = "local"
45
+ else:
46
+ raise ValueError(f"Unsupported model: {self.model_name}")
47
+
48
+ def call(self, prompt: str) -> str:
49
+ """
50
+ Call LLM API with a single prompt
51
+
52
+ Parameters:
53
+ - prompt: Input prompt string
54
+
55
+ Returns:
56
+ - response: Model's response
57
+ """
58
+ try:
59
+ if self.api_type == "openai":
60
+ response = self.client.chat.completions.create(
61
+ model=self.model_name,
62
+ messages=[
63
+ {"role": "system", "content": "You are a mathematical expert specializing in graph theory and persistent homology."},
64
+ {"role": "user", "content": prompt}
65
+ ]
66
+ )
67
+ return response.choices[0].message.content
68
+
69
+ elif self.api_type == "anthropic":
70
+ response = self.client.messages.create(
71
+ model=self.model_name,
72
+ system="You are a helpful assistant.",
73
+ messages=[{"role": "user", "content": prompt}]
74
+ )
75
+ return response.content[0].text
76
+
77
+ elif self.api_type == "deepseek":
78
+ headers = {
79
+ "Authorization": f"Bearer {self.api_key}",
80
+ "Content-Type": "application/json"
81
+ }
82
+ data = {
83
+ "model": self.model_name,
84
+ "messages": [
85
+ {"role": "user", "content": "/no_think" + prompt}
86
+ ]
87
+ }
88
+ response = requests.post(self.api_url, headers=headers, json=data)
89
+ response.raise_for_status()
90
+ return response.json()["choices"][0]["message"]["content"]
91
+
92
+ elif self.api_type == "gemini":
93
+ response = self.model.generate_content(prompt)
94
+ return response.text
95
+
96
+ elif self.api_type == "local":
97
+ data = {
98
+ "model": self.model_name,
99
+ "messages": [
100
+ {"role": "user", "content": prompt}
101
+ ]
102
+ }
103
+ response = requests.post(self.api_url, json=data)
104
+ response.raise_for_status()
105
+ return response.json()["choices"][0]["message"]["content"]
106
+
107
+ except Exception as e:
108
+ print(f"Error calling {self.model_name} API: {e}")
109
+ return f"API call error: {str(e)}"
110
+
111
+ def batch_call(self, prompts: list[str]) -> list[str]:
112
+ """
113
+ Batch call LLM API with multiple prompts
114
+
115
+ Parameters:
116
+ - prompts: List of input prompts
117
+
118
+ Returns:
119
+ - responses: List of model responses
120
+ """
121
+ responses = []
122
+ for idx, prompt in enumerate(prompts, start=1):
123
+ print(f"Processing prompt {idx}/{len(prompts)}")
124
+ response = self.call(prompt)
125
+ responses.append(response)
126
+ return responses
evaluate_code/llm_evaluator.py ADDED
@@ -0,0 +1,192 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import os
2
+ from evaluate_code.load_datasets import load_data
3
+ from evaluate_code.graph_embed import GraphEmbedder
4
+ from evaluate_code.extract import AnswerExtractor
5
+ from evaluate_code.llm_api import LLMCaller
6
+ from evaluate_code.evaluate import Evaluator
7
+ TASK_DATASET_MAPPING = {
8
+ # Simple Tasks
9
+ "S_0D": "datasets/Simple_Tasks/0D_Component_Counting", # 0D component counting
10
+ "S_1D": "datasets/Simple_Tasks/1D_Simplex_Counting", # 1D simplex counting
11
+ "S_Modification": "datasets/Simple_Tasks/Component_Reduction", # Component reduction task
12
+
13
+ # Medium Tasks
14
+ "M_Merge": "datasets/Medium_Tasks/Component_Merge_Time", # Persistent homology calculation
15
+ "M_Birth": "datasets/Medium_Tasks/Simplex_Birth_Time", # Birth time calculation
16
+ "M_Filtration": "datasets/Medium_Tasks/Component_Count_Under_Filtration", # Filtration feature counting
17
+
18
+ # Hard Tasks
19
+ "H_Selection": "datasets/Hard_Tasks/Optimal_Filtration_Selection", # Filtration method selection
20
+ "H_Generation": "datasets/Hard_Tasks/Non-Uniform_Filtration_Generation", # Filtration value selection
21
+
22
+ # Real World Tasks
23
+ "R_Selection": "datasets/Real_World_Tasks/Filtration_Selection_for_Classification", # Real data filtration method selection
24
+ "R_Generation": "datasets/Real_World_Tasks/Filtration_Sequence_Generation_for_Classification", # Real data filtration value selection
25
+ "R_Directly": "datasets/Real_World_Tasks/Direct_Classification" # Direct classification
26
+ }
27
+ class LLMEvaluator:
28
+ def __init__(self, task_name, model_name="gpt-4o"):
29
+ """
30
+ Initialize LLM evaluator
31
+
32
+ Args:
33
+ dataset_name (str): Name of the dataset to evaluate
34
+ model_name (str): Name of the model to use
35
+ """
36
+ self.task_name = task_name
37
+
38
+ # Initialize LLM caller
39
+ self.llm_caller = LLMCaller(model_name)
40
+
41
+ # Initialize graph embedder and evaluator
42
+ self.graph_embedder = GraphEmbedder(self.task_name)
43
+ self.extractor = AnswerExtractor(self.task_name)
44
+ self.evaluator = Evaluator(self.task_name)
45
+
46
+ # Load dataset
47
+ self.dataset = self._load_dataset()
48
+
49
+ def _load_dataset(self):
50
+ """Load dataset based on task name"""
51
+ dataset_path = TASK_DATASET_MAPPING[self.task_name]
52
+ data = {}
53
+
54
+ # Check if path exists
55
+ if not os.path.exists(dataset_path):
56
+ raise FileNotFoundError(f"Dataset path not found: {dataset_path}")
57
+
58
+ # Load all files in the dataset directory
59
+ for file_name in os.listdir(dataset_path):
60
+ file_path = os.path.join(dataset_path, file_name)
61
+ if os.path.isfile(file_path):
62
+ file_data = load_data(file_path)
63
+ data[file_name] = file_data
64
+ return data
65
+
66
+ def process_single_data(self, graph_data):
67
+ """
68
+ Process a single graph through the complete pipeline:
69
+ 1. Generate prompt
70
+ 2. Get LLM response
71
+ 3. Extract and evaluate answer
72
+
73
+ Args:
74
+ graph_data: A single graph data object
75
+
76
+ Returns:
77
+ dict: Dictionary containing:
78
+ - prompt: Generated prompt
79
+ - response: Raw LLM response
80
+ - extracted_answer: Processed answer
81
+ - evaluation: Evaluation results
82
+ """
83
+ # try:
84
+ # Step 1: Generate prompt for single graph
85
+ prompt = self.graph_embedder.embed_graph(graph_data)
86
+
87
+ # Step 2: Get LLM response
88
+ response = self.llm_caller.call(prompt)
89
+
90
+ # Step 3: Extract answer
91
+ extracted_answer = self.extractor.extract_answers(response)
92
+
93
+ return extracted_answer
94
+
95
+ def process_dataset(self):
96
+ """
97
+ Process all graphs in all parquet files in the dataset.
98
+
99
+ Returns:
100
+ list: List of results for each file, where each file's results is a list of results for each graph
101
+ """
102
+ all_results = {}
103
+ if self.task_name in ["S_0D", "S_1D", "S_Modification", "M_Merge", "M_Birth", "M_Filtration"]:
104
+ # Process each parquet file in the dataset
105
+ for file_idx, (file_name, file_data) in enumerate(self.dataset.items()):
106
+ print(f"\nProcessing file {file_idx + 1}/{len(self.dataset)}")
107
+
108
+ # Process each graph in the current file (DataFrame)
109
+ graph_datas = []
110
+ answers = []
111
+ for idx, row in file_data.iterrows():
112
+ # if idx >= 3: # Only process first 3 graphs
113
+ # break
114
+ print(f"Processing graph {idx + 1}/{len(file_data)} in file {file_idx + 1}")
115
+
116
+ # Convert DataFrame row to dict
117
+ graph_data = row.to_dict()
118
+ graph_datas.append(graph_data)
119
+ answer = self.process_single_data(graph_data)
120
+ answers.append(answer)
121
+ evaluation = self.evaluator.evaluate(graph_datas, answers)
122
+ all_results[file_name] = evaluation
123
+
124
+ return all_results
125
+ elif self.task_name in ["H_Selection", "H_Generation"]:
126
+ # Process each parquet file in the dataset
127
+ for file_idx, (file_name, file_data) in enumerate(self.dataset.items()):
128
+ print(f"\nProcessing file {file_idx + 1}/{len(self.dataset)}")
129
+
130
+ # Group data by pair_id
131
+ pairs = {}
132
+ for idx, row in file_data.iterrows():
133
+ pair_id = row['pair_id']
134
+ if pair_id not in pairs:
135
+ pairs[pair_id] = []
136
+ pairs[pair_id].append(row.to_dict())
137
+
138
+ # Process each pair
139
+ graph_datas = []
140
+ answers = []
141
+ pair_count = 0
142
+ for pair_id, pair_data in pairs.items():
143
+ if len(pair_data) != 2: # Skip if pair is incomplete
144
+ continue
145
+ # if pair_count >= 3: # Only process first 3 pairs
146
+ # break
147
+ # print(f"Processing pair {pair_id}")
148
+ # Sort by graph_position to ensure correct order
149
+ pair_data.sort(key=lambda x: x['graph_position'])
150
+ graph_datas.append(pair_data)
151
+ answer = self.process_single_data(pair_data)
152
+ answers.append(answer)
153
+ pair_count += 1
154
+
155
+ evaluation = self.evaluator.evaluate(graph_datas, answers)
156
+ all_results[file_name] = evaluation
157
+
158
+ return all_results
159
+ elif self.task_name in ["R_Selection", "R_Generation"]:
160
+ # Process each parquet file in the dataset
161
+ for file_idx, (file_name, file_data) in enumerate(self.dataset.items()):
162
+ print(f"\nProcessing file {file_idx + 1}/{len(self.dataset)}")
163
+
164
+ # Group data by group_id
165
+ groups = {}
166
+ for idx, row in file_data.iterrows():
167
+ group_id = row['group_id']
168
+ if group_id not in groups:
169
+ groups[group_id] = []
170
+ groups[group_id].append(row.to_dict())
171
+
172
+ # Process each group
173
+ graph_datas = []
174
+ answers = []
175
+ group_count = 0
176
+ for group_id, group_data in groups.items():
177
+ if len(group_data) != 4: # Skip if group is incomplete
178
+ continue
179
+ # if group_count >= 3: # Only process first 3 groups
180
+ # break
181
+
182
+ # Sort by graph_position to ensure correct order
183
+ group_data.sort(key=lambda x: x['graph_position'])
184
+ graph_datas.append(group_data)
185
+ answer = self.process_single_data(group_data)
186
+ answers.append(answer)
187
+ group_count += 1
188
+
189
+ evaluation = self.evaluator.evaluate(graph_datas, answers)
190
+ all_results[file_name] = evaluation
191
+
192
+ return all_results
evaluate_code/load_datasets.py ADDED
@@ -0,0 +1,57 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import os
2
+ import json
3
+ import pandas as pd
4
+ from huggingface_hub import list_repo_files, hf_hub_download
5
+
6
+ def load_data(file_path):
7
+ """Load data based on file extension"""
8
+ ext = os.path.splitext(file_path)[1].lower()
9
+ if ext == '.json':
10
+ with open(file_path, 'r', encoding='utf-8') as f:
11
+ return json.load(f)
12
+ elif ext == '.csv':
13
+ return pd.read_csv(file_path)
14
+ elif ext == '.jsonl':
15
+ data = []
16
+ with open(file_path, 'r', encoding='utf-8') as f:
17
+ for line in f:
18
+ data.append(json.loads(line))
19
+ return data
20
+ elif ext == '.parquet':
21
+ return pd.read_parquet(file_path)
22
+ else:
23
+ raise ValueError(f"Unsupported file extension: {ext}")
24
+
25
+ def download_and_load_datasets():
26
+ repo_id = "Antislab/LLM4PH"
27
+ files = list_repo_files(repo_id=repo_id, repo_type="dataset")
28
+
29
+ downloaded_files = []
30
+ for file in files:
31
+ if file.startswith("datasets/"):
32
+ local_path = os.path.join(".", file)
33
+ if not os.path.exists(local_path):
34
+ print(f"Downloading {file}...")
35
+ hf_hub_download(
36
+ repo_id=repo_id,
37
+ filename=file,
38
+ repo_type="dataset",
39
+ local_dir="."
40
+ )
41
+ else:
42
+ print(f"File {file} already exists, skipping download.")
43
+ downloaded_files.append(local_path)
44
+
45
+ # Load all downloaded files
46
+ loaded_data = {}
47
+ for file_path in downloaded_files:
48
+ try:
49
+ loaded_data[file_path] = load_data(file_path)
50
+ print(f"Successfully loaded {file_path}")
51
+ except Exception as e:
52
+ print(f"Error loading {file_path}: {str(e)}")
53
+
54
+ return loaded_data
55
+
56
+ if __name__ == "__main__":
57
+ data = download_and_load_datasets()
evaluate_code/ph_utils.py ADDED
@@ -0,0 +1,171 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import numpy as np
2
+ from scipy.sparse.csgraph import connected_components
3
+ import gudhi as gd
4
+ from persim import wasserstein
5
+ import bisect
6
+
7
+ def count_connected_components(edge_index, num_nodes):
8
+ """Count the number of connected components in a graph"""
9
+ # Create adjacency matrix
10
+ adj_matrix = np.zeros((num_nodes, num_nodes))
11
+ for i in range(edge_index.shape[1]):
12
+ src, dst = edge_index[0, i], edge_index[1, i]
13
+ adj_matrix[src, dst] = 1
14
+ adj_matrix[dst, src] = 1
15
+
16
+ # Calculate connected components using scipy
17
+ n_components, _ = connected_components(adj_matrix)
18
+ return n_components
19
+
20
+ def Filtration(edge_index, edge_attr,filt,filt_value):
21
+ def filt_edge(edges,filt_value):
22
+ upper_bounds = filt_value
23
+ filted_edges = []
24
+ for edge in edges:
25
+ src, tgt, w = edge
26
+ index = bisect.bisect_left(upper_bounds, w)
27
+ if index < len(upper_bounds):
28
+ assigned_upper = upper_bounds[index]
29
+ else:
30
+ assigned_upper = upper_bounds[-1]
31
+
32
+ filted_edges.append((src, tgt, assigned_upper))
33
+
34
+ return filted_edges
35
+ edge_index = np.array(edge_index).reshape(2, -1)
36
+ original_edges = []
37
+ for i in range(edge_index.shape[1]):
38
+ source = edge_index[0, i].item()
39
+ target = edge_index[1, i].item()
40
+ weight = edge_attr[i].item()
41
+ original_edges.append((source, target, weight))
42
+ if filt:
43
+ original_edges = filt_edge(original_edges,filt_value)
44
+ sorted_edges = sorted(original_edges, key=lambda x: x[2])
45
+
46
+ simplices = gd.SimplexTree()
47
+ for u, v, weight in sorted_edges:
48
+ simplices.insert([u, v], filtration=weight)
49
+ simplices.expansion(2)
50
+ filtration = simplices.get_filtration()
51
+ simplex_list = []
52
+
53
+ for simplex in filtration:
54
+ simplex_list.append(simplex)
55
+
56
+ simplices.persistence()
57
+ barcode = []
58
+ for i in range(2):
59
+ intervals = simplices.persistence_intervals_in_dimension(i)
60
+ barcode.append(intervals)
61
+
62
+ vr_e_pd = {}
63
+ for dim, intervals in enumerate(barcode):
64
+ if intervals.size > 0 and dim<=2:
65
+ intervals = intervals.tolist()
66
+ intervals.sort(key=lambda x: x[0])
67
+ vr_e_pd[f'{dim}dim'] = intervals
68
+ else:
69
+ vr_e_pd[f'{dim}dim'] = []
70
+
71
+ return sorted_edges, simplex_list, vr_e_pd
72
+
73
+ def add_vr_ORI(dataset,filt,filt_value=None):
74
+ for i in range(len(dataset)):
75
+ edge_index = dataset[i]['edge_index']
76
+ edge_attr = dataset[i]['edge_attr']
77
+
78
+
79
+ sorted_edges,simplex_list, vr_e_pd = Filtration(edge_index, edge_attr,filt,filt_value)
80
+
81
+ for dim in vr_e_pd:
82
+ vr_e_pd[dim].sort(key=lambda interval: interval[0])
83
+
84
+ # dataset[i].sorted_edges = sorted_edges
85
+ # dataset[i].simplex = simplex_list
86
+ # dataset[i].vr_e_pd = vr_e_pd
87
+
88
+ if filt:
89
+ dataset[i]['selected_vr_e_pd'] = vr_e_pd
90
+ else:
91
+ dataset[i]['vr_e_pd'] = vr_e_pd
92
+
93
+ def PD_to_diagram(PD):
94
+ """
95
+ Convert persistence diagram dictionary to numpy array format.
96
+ """
97
+ diagram = []
98
+ for dim, intervals in PD.items():
99
+ dim_int = int(dim[0])
100
+ for interval in intervals:
101
+ birth, death = interval
102
+ diagram.append([birth, death, dim_int])
103
+ return np.array(diagram)
104
+
105
+ def compute_wasserstein_distance(PD1, PD2):
106
+ """
107
+ Compute Wasserstein distance between two persistence diagrams.
108
+ """
109
+ diagram1 = PD_to_diagram(PD1)
110
+ diagram2 = PD_to_diagram(PD2)
111
+
112
+ # Handle infinite death times
113
+ diagram1[~np.isfinite(diagram1[:, 1]), 1] = 1.1
114
+ diagram2[~np.isfinite(diagram2[:, 1]), 1] = 1.1
115
+
116
+ return wasserstein(diagram1, diagram2)
117
+
118
+
119
+ def check_graph_group(graphs, method='weight', pre_calculate=True, filt_value=None):
120
+ """
121
+ Check if four graphs satisfy the separation condition:
122
+ 1. Both distances within same class are smaller than all four distances between different classes
123
+ 2. Four graphs must be arranged in [1,1,-1,-1] order
124
+
125
+ Args:
126
+ graphs: List of 4 graphs arranged in [1,1,-1,-1] order
127
+ method: Persistent homology calculation method
128
+ pre_calculate: Whether persistence diagrams are pre-calculated
129
+ filt_value: Filtration value for calculation
130
+
131
+ Returns:
132
+ tuple: (bool, list) - Whether separation condition is satisfied and list of distances
133
+ """
134
+ if len(graphs) != 4:
135
+ raise ValueError("Must provide exactly 4 graphs")
136
+
137
+ # Verify graph label order
138
+ if not (graphs[0]['y'] == graphs[1]['y'] and graphs[2]['y'] == graphs[3]['y'] and graphs[0]['y'] != graphs[2]['y']):
139
+ raise ValueError("Graphs must be ordered as [1,1,-1,-1]")
140
+
141
+ if not pre_calculate:
142
+ add_vr_ORI(graphs, filt=True, filt_value=filt_value)
143
+
144
+ # Calculate distances between all graph pairs
145
+ distances = []
146
+ for i in range(4):
147
+ for j in range(i+1, 4):
148
+ if method == 'weight':
149
+ if pre_calculate:
150
+ dist = compute_wasserstein_distance(graphs[i]['vr_e_pd'], graphs[j]['vr_e_pd'])
151
+ else:
152
+ dist = compute_wasserstein_distance(graphs[i]['selected_vr_e_pd'], graphs[j]['selected_vr_e_pd'])
153
+ else:
154
+ dist = compute_wasserstein_distance(
155
+ getattr(graphs[i], f'vr_{method}_pd'),
156
+ getattr(graphs[j], f'vr_{method}_pd')
157
+ )
158
+ distances.append((i, j, dist))
159
+
160
+ # Distances within same class
161
+ same_class_distances = [dist for i, j, dist in distances
162
+ if (i < 2 and j < 2) or (i >= 2 and j >= 2)]
163
+
164
+ # Distances between different classes
165
+ diff_class_distances = [dist for i, j, dist in distances
166
+ if (i < 2 and j >= 2) or (i >= 2 and j < 2)]
167
+
168
+ max_same = max(same_class_distances)
169
+ min_diff = min(diff_class_distances)
170
+
171
+ return max_same < min_diff, distances
llm4ph.png ADDED

Git LFS Details

  • SHA256: fa3443d122e11f7951aa6fc34d9930700313a0c71440554c21579eca75b12396
  • Pointer size: 131 Bytes
  • Size of remote file: 184 kB
main.py ADDED
@@ -0,0 +1,77 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from evaluate_code.llm_evaluator import LLMEvaluator
2
+ from datetime import datetime
3
+ from config import TASKS, MODEL_NAMES
4
+ import os
5
+ import json
6
+ import csv
7
+
8
+ def save_results(date_str,results, task_name):
9
+ """
10
+ Save results to both JSON and CSV files
11
+
12
+ Args:
13
+ results: Dictionary containing evaluation results
14
+ task_name: Name of the task
15
+ """
16
+ # Create results directory if it doesn't exist
17
+ if not os.path.exists("results"):
18
+ os.makedirs("results")
19
+
20
+ # Create date folder
21
+ date_path = os.path.join("results", date_str)
22
+ if not os.path.exists(date_path):
23
+ os.makedirs(date_path)
24
+
25
+ # Create task folder
26
+ task_path = os.path.join(date_path, task_name)
27
+ if not os.path.exists(task_path):
28
+ os.makedirs(task_path)
29
+
30
+ # Save JSON
31
+ json_path = os.path.join(task_path, "results.json")
32
+ with open(json_path, 'w', encoding='utf-8') as f:
33
+ json.dump(results, f, ensure_ascii=False, indent=2)
34
+ if task_name in ["S_0D", "S_1D", "S_Modification", "M_Merge", "M_Birth", "M_Filtration", "R_Selection", "R_Generation"]:
35
+ # Save CSV
36
+ csv_path = os.path.join(task_path, "results.csv")
37
+ with open(csv_path, 'w', newline='', encoding='utf-8') as f:
38
+ writer = csv.writer(f)
39
+ # Write header
40
+ writer.writerow(['file_name', 'accuracy'])
41
+ # Write data
42
+ for file_name, (accuracy, _) in results.items():
43
+ # Remove .parquet extension
44
+ file_name = file_name.replace('.parquet', '')
45
+ writer.writerow([file_name, accuracy])
46
+ elif task_name in ["H_Selection", "H_Generation"]:
47
+ # Save CSV
48
+ csv_path = os.path.join(task_path, "results.csv")
49
+ with open(csv_path, 'w', newline='', encoding='utf-8') as f:
50
+ writer = csv.writer(f)
51
+ # Write header
52
+ writer.writerow(['file_name', 'mean_rank', 'std_rank'])
53
+ # Write data
54
+ for file_name, (_, details) in results.items():
55
+ mean_rank = details['statistics']['mean_rank']
56
+ std_rank = details['statistics']['std_rank']
57
+ file_name = file_name.replace('.parquet', '')
58
+ writer.writerow([file_name, mean_rank, std_rank])
59
+
60
+ def main():
61
+ date_str = datetime.now().strftime("%Y%m%d_%H%M")
62
+ # Process each task in the task list
63
+ for task_name in TASKS:
64
+ for model_name in MODEL_NAMES:
65
+ print(f"Processing task: {task_name} with model: {model_name}")
66
+ evaluator = LLMEvaluator(
67
+ task_name=task_name,
68
+ model_name=model_name
69
+ )
70
+ # Process all graphs in all files
71
+ results = evaluator.process_dataset()
72
+ # Save results
73
+ save_results(date_str, results, task_name)
74
+
75
+
76
+ if __name__ == "__main__":
77
+ main()
requirements.txt ADDED
@@ -0,0 +1,22 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ # Core dependencies
2
+ numpy==2.1.3
3
+ pandas==2.2.3
4
+ torch==2.5.1
5
+ scikit-learn==1.6.1
6
+ scipy==1.14.1
7
+
8
+ # Topology and graph related
9
+ gudhi==3.11.0
10
+ persim==0.3.8
11
+ networkx==3.4.2
12
+
13
+ # LLM API support
14
+ openai==1.79.0
15
+ anthropic==0.51.0
16
+ google-generativeai==0.8.5
17
+ python-dotenv==1.1.0
18
+
19
+ # Visualization and utilities
20
+ matplotlib==3.9.2
21
+ tqdm==4.67.1
22
+ huggingface-hub==0.31.2