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model_name
stringclasses
56 values
model_series
stringclasses
19 values
model_size (B)
float64
0.27
671
data_name
stringclasses
5 values
seq_len
int64
1.02k
1.02k
uniform_entropy
float64
16.5
18
constant
float64
20.5
38.5
conditional_entropy
float64
0.42
5.01
entropy_gain
float64
17.9
36.3
BF16_TFLOPs
float64
0.55
148
information_capacity
float64
0.53
1.15
ic
float64
-0.02
0.39
DeepSeek-V2-236B-A21B
DeepSeek-V2
236
data_part_0000
1,024
16.643856
32.12
2.251732
29.868268
37.795712
0.850868
0.167171
DeepSeek-V3.1-Base-671B-A37B
DeepSeek-V3.1-Base
671
data_part_0000
1,024
16.98014
34.94
2.277205
32.662795
78.006807
0.903569
0.239644
GLM-4-32B-Base-0414
GLM-4
32
data_part_0000
1,024
17.209453
34.82
2.760893
32.059107
65.570498
0.893058
0.224499
GLM-4.5-Air-Base-106B-A12B
GLM-4.5-Air-Base
106
data_part_0000
1,024
17.209453
34.82
2.58169
32.23831
17.749378
0.947828
0.242212
GLM-4.5-Base-355B-A32B
GLM-4.5-Base
355
data_part_0000
1,024
17.209453
34.82
2.281375
32.538625
48.828659
0.917284
0.240709
Hunyuan-0.5B-Pretrain
Hunyuan
0.5
data_part_0000
1,024
16.882476
34.95
3.988531
30.961469
1.000648
1.036746
0.233105
Hunyuan-1.8B-Pretrain
Hunyuan
1.8
data_part_0000
1,024
16.882476
34.95
3.584585
31.365415
3.805148
0.98661
0.231682
Hunyuan-4B-Pretrain
Hunyuan
4
data_part_0000
1,024
16.882476
34.95
3.298443
31.651557
8.297562
0.961591
0.232458
Hunyuan-7B-Pretrain
Hunyuan
7
data_part_0000
1,024
16.967654
34.95
2.997694
31.952306
15.643395
0.944479
0.235062
Llama-3.1-8B
Llama-3.1
8
data_part_0000
1,024
16.968667
32.84
2.821996
30.018004
15.64415
0.887301
0.177886
Llama-3.1-70B
Llama-3.1
70
data_part_0000
1,024
16.968667
32.84
2.40853
30.43147
143.712559
0.821802
0.173682
Llama-3.2-1B
Llama-3.2
1
data_part_0000
1,024
16.968667
32.84
3.366786
29.473214
2.599462
0.943404
0.175191
Llama-3.2-3B
Llama-3.2
3
data_part_0000
1,024
16.968667
32.84
3.080525
29.759475
6.759565
0.912306
0.176562
Llama-4-109B-A17B
Llama-4
109
data_part_0000
1,024
17.624339
34.45
3.977431
30.472569
41.803621
0.864502
0.183626
Ministral-3-3B-Base-2512
Ministral-3
3
data_part_0000
1,024
17
30.85
2.850933
27.999067
6.770852
0.858275
0.122586
Ministral-3-8B-Base-2512
Ministral-3
8
data_part_0000
1,024
17
30.85
2.668005
28.181995
16.578289
0.830975
0.12331
Ministral-3-14B-Base-2512
Ministral-3
14
data_part_0000
1,024
17
30.85
2.583401
28.266599
27.788019
0.815551
0.1231
Qwen1.5-0.5B
Qwen1.5
0.5
data_part_0000
1,024
17.213104
33.8
3.723981
30.076019
1.001482
1.007057
0.203448
Qwen1.5-1.8B
Qwen1.5
1.8
data_part_0000
1,024
17.213104
33.8
3.419022
30.380978
3.22703
0.962845
0.202228
Qwen1.5-4B
Qwen1.5
4
data_part_0000
1,024
17.213104
33.8
3.175163
30.624837
7.507259
0.934498
0.202153
Qwen1.5-7B
Qwen1.5
7
data_part_0000
1,024
17.213104
33.8
3.035588
30.764412
14.812
0.911489
0.200416
Qwen1.5-14B
Qwen1.5
14
data_part_0000
1,024
17.214319
33.8
2.944247
30.855753
27.847075
0.890174
0.197785
Qwen1.5-14.3B-A2.7B
Qwen1.5
14.3
data_part_0000
1,024
17.213104
33.8
2.895214
30.904786
4.966492
0.960511
0.214599
Qwen1.5-32B
Qwen1.5
32
data_part_0000
1,024
17.214319
33.8
2.716146
31.083854
65.674748
0.865836
0.19732
Qwen1.5-72B
Qwen1.5
72
data_part_0000
1,024
17.214319
33.8
2.571015
31.228985
146.86077
0.842627
0.195054
Qwen2-0.5B
Qwen2
0.5
data_part_0000
1,024
17.213104
33.8
3.674334
30.125666
1.056686
1.006111
0.20458
Qwen2-1.5B
Qwen2
1.5
data_part_0000
1,024
17.213104
33.8
3.271616
30.528384
3.251336
0.967185
0.206829
Qwen2-7B
Qwen2
7
data_part_0000
1,024
17.214319
33.8
2.885552
30.914448
14.690193
0.916257
0.204934
Qwen2-57B-A14B
Qwen2
57
data_part_0000
1,024
17.213104
33.8
2.667734
31.132266
27.316458
0.898871
0.205928
Qwen2-72B
Qwen2
72
data_part_0000
1,024
17.214319
33.8
2.517922
31.282078
147.719763
0.843868
0.196442
Qwen2.5-0.5B
Qwen2.5
0.5
data_part_0000
1,024
17.213104
33.8
3.647935
30.152065
1.056686
1.006993
0.205461
Qwen2.5-1.5B
Qwen2.5
1.5
data_part_0000
1,024
17.213104
33.8
3.237605
30.562395
3.251336
0.968262
0.207906
Qwen2.5-3B
Qwen2.5
3
data_part_0000
1,024
17.213104
33.8
3.067104
30.732896
6.473975
0.943949
0.206798
Qwen2.5-7B
Qwen2.5
7
data_part_0000
1,024
17.214319
33.8
2.90054
30.89946
14.690193
0.915813
0.20449
Qwen2.5-14B
Qwen2.5
14
data_part_0000
1,024
17.214319
33.8
2.702427
31.097573
29.167693
0.895424
0.204368
Qwen2.5-32B
Qwen2.5
32
data_part_0000
1,024
17.214319
33.8
2.661643
31.138357
66.190144
0.867082
0.198775
Qwen2.5-72B
Qwen2.5
72
data_part_0000
1,024
17.214319
33.8
2.50709
31.29291
147.719763
0.844161
0.196734
Qwen3-0.6B-Base
Qwen3
0.6
data_part_0000
1,024
17.213104
33.8
3.59006
30.20994
1.100258
1.006965
0.206991
Qwen3-1.7B-Base
Qwen3
1.7
data_part_0000
1,024
17.213104
33.8
3.238315
30.561685
3.643625
0.963225
0.206807
Qwen3-4B-Base
Qwen3
4
data_part_0000
1,024
17.213104
33.8
3.026427
30.773573
7.705922
0.937958
0.206454
Qwen3-8B-Base
Qwen3
8
data_part_0000
1,024
17.213104
33.8
2.868133
30.931867
15.808399
0.913907
0.204808
Qwen3-14B-Base
Qwen3
14
data_part_0000
1,024
17.213104
33.8
2.751367
31.048633
29.080536
0.894126
0.202984
Seed-OSS-36B-Base
Seed-OSS
36
data_part_0000
1,024
17.243174
32.94
2.611972
30.328028
65.535161
0.844855
0.176281
gemma-3-0.27b-pt
gemma-3
0.27
data_part_0000
1,024
18
32.35
4.019984
28.330016
0.550437
0.976837
0.149302
gemma-3-1b-pt
gemma-3
1
data_part_0000
1,024
18
32.35
3.450459
28.899541
2.129873
0.933631
0.158285
gemma-3-4b-pt
gemma-3
4
data_part_0000
1,024
18.000352
32.35
3.001616
29.348384
8.402187
0.89113
0.162398
gemma-3-12b-pt
gemma-3
12
data_part_0000
1,024
18.000352
32.35
2.759337
29.590663
24.191529
0.858707
0.162238
gemma-3-27b-pt
gemma-3
27
data_part_0000
1,024
18.000352
32.35
2.646754
29.703246
58.631963
0.831168
0.15959
glm-4-9b-hf
glm-4
9
data_part_0000
1,024
17.209453
34.82
3.027163
31.792837
18.321995
0.933473
0.228806
internlm2.5-1.8b
internlm2.5
1.8
data_part_0000
1,024
16.497852
33.59
3.635528
29.954472
3.583513
0.944802
0.187812
internlm2.5-7b
internlm2.5
7
data_part_0000
1,024
16.497852
33.59
3.15482
30.43518
15.344576
0.900375
0.190374
internlm2.5-20b
internlm2.5
20
data_part_0000
1,024
16.497852
33.59
2.840322
30.749678
40.127812
0.873827
0.191809
DeepSeek-V2-236B-A21B
DeepSeek-V2
236
eng_Latn_000_00027_long
1,024
16.643856
33.77
2.362466
31.407534
37.795712
0.894718
0.125559
DeepSeek-V3.1-Base-671B-A37B
DeepSeek-V3.1-Base
671
eng_Latn_000_00027_long
1,024
16.98014
37.28
2.342944
34.937056
78.006807
0.966483
0.219567
GLM-4-32B-Base-0414
GLM-4
32
eng_Latn_000_00027_long
1,024
17.209453
36.64
2.735804
33.904196
65.570498
0.944456
0.192328
GLM-4.5-Air-Base-106B-A12B
GLM-4.5-Air-Base
106
eng_Latn_000_00027_long
1,024
17.209453
36.64
2.631452
34.008548
17.749378
0.999874
0.206056
GLM-4.5-Base-355B-A32B
GLM-4.5-Base
355
eng_Latn_000_00027_long
1,024
17.209453
36.64
2.410081
34.229919
48.828659
0.964963
0.203816
Hunyuan-0.5B-Pretrain
Hunyuan
0.5
eng_Latn_000_00027_long
1,024
16.882476
36.61
3.975519
32.634481
1.000648
1.092767
0.188671
Hunyuan-1.8B-Pretrain
Hunyuan
1.8
eng_Latn_000_00027_long
1,024
16.882476
36.61
3.56141
33.04859
3.805148
1.039555
0.190261
Hunyuan-4B-Pretrain
Hunyuan
4
eng_Latn_000_00027_long
1,024
16.882476
36.61
3.287916
33.322084
8.297562
1.012342
0.192068
Hunyuan-7B-Pretrain
Hunyuan
7
eng_Latn_000_00027_long
1,024
16.967654
36.61
3.001569
33.608431
15.643395
0.993432
0.195339
Llama-3.1-8B
Llama-3.1
8
eng_Latn_000_00027_long
1,024
16.968667
36.74
2.777745
33.962255
15.64415
1.003889
0.205797
Llama-3.1-70B
Llama-3.1
70
eng_Latn_000_00027_long
1,024
16.968667
36.74
2.463389
34.276611
143.712559
0.92564
0.196505
Llama-3.2-1B
Llama-3.2
1
eng_Latn_000_00027_long
1,024
16.968667
36.74
3.258187
33.481813
2.599462
1.071715
0.207475
Llama-3.2-3B
Llama-3.2
3
eng_Latn_000_00027_long
1,024
16.968667
36.74
3.001065
33.738935
6.759565
1.0343
0.206589
Llama-4-109B-A17B
Llama-4
109
eng_Latn_000_00027_long
1,024
17.624339
37.49
3.862189
33.627811
41.803621
0.954016
0.18803
Ministral-3-3B-Base-2512
Ministral-3
3
eng_Latn_000_00027_long
1,024
17
34.92
2.858974
32.061026
6.770852
0.98279
0.155139
Ministral-3-8B-Base-2512
Ministral-3
8
eng_Latn_000_00027_long
1,024
17
34.92
2.70284
32.21716
16.578289
0.949956
0.153833
Ministral-3-14B-Base-2512
Ministral-3
14
eng_Latn_000_00027_long
1,024
17
34.92
2.626078
32.293922
27.788019
0.931747
0.152741
Qwen1.5-0.5B
Qwen1.5
0.5
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.78343
31.67657
1.001482
1.060649
0.156589
Qwen1.5-1.8B
Qwen1.5
1.8
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.475089
31.984911
3.22703
1.013677
0.157984
Qwen1.5-4B
Qwen1.5
4
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.163737
32.296263
7.507259
0.985501
0.161612
Qwen1.5-7B
Qwen1.5
7
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.029649
32.430351
14.812
0.960847
0.160891
Qwen1.5-14B
Qwen1.5
14
eng_Latn_000_00027_long
1,024
17.214319
35.46
2.939726
32.520274
27.847075
0.938195
0.159257
Qwen1.5-14.3B-A2.7B
Qwen1.5
14.3
eng_Latn_000_00027_long
1,024
17.213104
35.46
2.904088
32.555912
4.966492
1.011827
0.172676
Qwen1.5-32B
Qwen1.5
32
eng_Latn_000_00027_long
1,024
17.214319
35.46
2.746185
32.713815
65.674748
0.911238
0.159157
Qwen1.5-72B
Qwen1.5
72
eng_Latn_000_00027_long
1,024
17.214319
35.46
2.643311
32.816689
146.86077
0.885467
0.156947
Qwen2-0.5B
Qwen2
0.5
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.685829
31.774171
1.056686
1.061166
0.159444
Qwen2-1.5B
Qwen2
1.5
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.272856
32.187144
3.251336
1.019737
0.164336
Qwen2-7B
Qwen2
7
eng_Latn_000_00027_long
1,024
17.214319
35.46
2.875864
32.584136
14.690193
0.965744
0.165505
Qwen2-57B-A14B
Qwen2
57
eng_Latn_000_00027_long
1,024
17.213104
35.46
2.706306
32.753694
27.316458
0.945686
0.166124
Qwen2-72B
Qwen2
72
eng_Latn_000_00027_long
1,024
17.214319
35.46
2.58608
32.87392
147.719763
0.88681
0.158455
Qwen2.5-0.5B
Qwen2.5
0.5
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.575057
31.884943
1.056686
1.064866
0.163143
Qwen2.5-1.5B
Qwen2.5
1.5
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.165345
32.294655
3.251336
1.023143
0.167743
Qwen2.5-3B
Qwen2.5
3
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.006886
32.453114
6.473975
0.996785
0.16749
Qwen2.5-7B
Qwen2.5
7
eng_Latn_000_00027_long
1,024
17.214319
35.46
2.853027
32.606973
14.690193
0.966421
0.166182
Qwen2.5-14B
Qwen2.5
14
eng_Latn_000_00027_long
1,024
17.214319
35.46
2.68643
32.77357
29.167693
0.943683
0.166244
Qwen2.5-32B
Qwen2.5
32
eng_Latn_000_00027_long
1,024
17.214319
35.46
2.648246
32.811754
66.190144
0.913679
0.161835
Qwen2.5-72B
Qwen2.5
72
eng_Latn_000_00027_long
1,024
17.214319
35.46
2.540453
32.919547
147.719763
0.888041
0.159686
Qwen3-0.6B-Base
Qwen3
0.6
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.498448
31.961552
1.100258
1.06535
0.16538
Qwen3-1.7B-Base
Qwen3
1.7
eng_Latn_000_00027_long
1,024
17.213104
35.46
3.159305
32.300695
3.643625
1.018034
0.167064
Qwen3-4B-Base
Qwen3
4
eng_Latn_000_00027_long
1,024
17.213104
35.46
2.960826
32.499174
7.705922
0.990554
0.167611
Qwen3-8B-Base
Qwen3
8
eng_Latn_000_00027_long
1,024
17.213104
35.46
2.818506
32.641494
15.808399
0.964419
0.166682
Qwen3-14B-Base
Qwen3
14
eng_Latn_000_00027_long
1,024
17.213104
35.46
2.720139
32.739861
29.080536
0.942829
0.165294
Seed-OSS-36B-Base
Seed-OSS
36
eng_Latn_000_00027_long
1,024
17.243174
34.98
2.639093
32.340907
65.535161
0.900928
0.148783
gemma-3-0.27b-pt
gemma-3
0.27
eng_Latn_000_00027_long
1,024
18
35.77
3.819985
31.950015
0.550437
1.101657
0.17068
gemma-3-1b-pt
gemma-3
1
eng_Latn_000_00027_long
1,024
18
35.77
3.281368
32.488632
2.129873
1.049581
0.177316
gemma-3-4b-pt
gemma-3
4
eng_Latn_000_00027_long
1,024
18.000352
35.77
2.840498
32.929502
8.402187
0.999866
0.180042
gemma-3-12b-pt
gemma-3
12
eng_Latn_000_00027_long
1,024
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gemma-3-27b-pt
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AI-Flow-Information Capacity

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Information Capacity evaluates an LLM's efficiency based on text compression performance relative to computational complexity, leveraging the inherent correlation between compression and intelligence. Larger models can predict the next token more accurately, leading to higher compression gains but at increased computational costs. Consequently, a series of models with varying sizes exhibits consistent information capacity, which can be used to compare model capability across model series and predict model performance within a series. This consistency opens up the possibility of cross-scale performance prediction before actual pretraining, offering a computationally efficient alternative to conventional scaling-law fitting approaches. It also facilitates dynamic routing of different-sized models for efficient handling of tasks with varying difficulties, which is especially relevant to the device-edge-cloud infrastructure detailed in the AI Flow framework. With the rapid evolution of edge intelligence, we believe that this hierarchical network will replace the mainstream cloud-centric computing scheme in the near future.

Compared to existing metrics on LLM efficiency, a key difference of information capacity is that it considers the influence of tokenizer efficiency. An effective tokenizer can represent a given text with fewer tokens, thus reducing both the input and output token counts. This reduction not only lowers computational costs and inference delay but also facilitates long-context memory and in-depth reasoning. Tokenizer efficiency exhibits growing significance in light of the exploding input length and the widespread usage of test-time scaling, but is often neglected in LLM evaluations. We assess the information capacity of 56 models across 5 heterogeneous datasets and find consistent evidence regarding the influences of tokenizer efficiency, pretraining data, and the mixture-of-experts (MoE) architecture.

Data

Previous studies have established that the correlation between compression and intelligence weakens when the evaluation corpus significantly deviates from the domain of downstream tasks. Thus, we construct five heterogeneous datasets to provide a holistic assessment of LLM capabilities: Mixed text, FinePDFs-en, Ch-FineWeb-Edu, FineWeb-Edu, and NextCoder. The Mixed text dataset is collected by us, while other datasets are sampled from publicly available open-source datasets.

  • Mixed text: We compile a multilingual text corpus from diverse sources, including books, webpages, code, and published papers, to facilitate a comprehensive evaluation on LLMs' compression efficiency.
  • FinePDFs-en: The FinePDFs dataset consists of about 3T tokens sourced exclusively from publicly available PDF files. We only select from the English subset to better examine the influence of the corpus distribution. [Huggingface]
  • Ch-FineWeb-Edu: The Chinese Fineweb Edu dataset is a high-quality Chinese pretraining corpus of 90 million samples in the education domain, selected by a strategy similar to that of FineWeb-Edu. [Huggingface]
  • FineWeb-Edu: The FineWeb-Edu dataset contains 1.3T tokens of educational English webpages filtered from the FineWeb dataset, based on the annotations generated by Llama-3-70B-Instruct. [Huggingface]
  • NextCoder: The NextCoder dataset consists of 127K unique code samples generated by GPT-4o and Llama-3.3-70B-Instruct across 8 programming languages: Python, Java, C++, C, Rust, JavaScript, Go, and Kotlin. [Huggingface]

Usage

Step 1. Setup an environment that can run model inference, for example:

pip install numpy torch transformers tqdm flash_attn huggingface_hub

Step 2. Clone this repo.

GIT_LFS_SKIP_SMUDGE=1 git clone https://huggingface.co/datasets/TeleAI-AI-Flow/InformationCapacity
cd InformationCapacity

Step 3. Download test datasets.

hf download TeleAI-AI-Flow/InformationCapacity --repo-type=dataset --include "datasets/**" --local-dir .

Step 4. Run evaluation code.

python calc_ic.py -m path/to/model -d datasets/mixed_text.jsonl -l 1024 -b 1

Citation

@misc{yuan2025informationcapacity,
      title={Information Capacity: Evaluating the Efficiency of Large Language Models via Text Compression}, 
      author={Cheng Yuan and Jiawei Shao and Chi Zhang and Xuelong Li},
      year={2025},
      eprint={2511.08066},
      archivePrefix={arXiv},
      primaryClass={cs.AI},
      url={https://arxiv.org/abs/2511.08066}, 
}

@misc{an2026aiflowperspectivesscenarios,
      author={Hongjun An and Wenhan Hu and Sida Huang and Siqi Huang and Ruanjun Li and Yuanzhi Liang and Jiawei Shao and Yiliang Song and Zihan Wang and Cheng Yuan and Chi Zhang and Hongyuan Zhang and Wenhao Zhuang and Xuelong Li},
      journal={Vicinagearth}, 
      title={{AI} Flow: perspectives, scenarios, and approaches}, 
      year={2026},
      volume={3},
      number={1},
      pages={1-32},
}

@misc{shao2026aiflownetworkedge,
      title={{AI} Flow at the Network Edge},
      author={Shao, Jiawei and Li, Xuelong},
      journal={IEEE Network},
      year={2026},
      volume={40},
      number={1},
      pages={330-336},
}
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