rahulseetharaman/reranker-msmarco-v1.1-ettin-encoder-400m-listnet

CrossEncoder based on jhu-clsp/ettin-encoder-400m

This is a Cross Encoder model finetuned from jhu-clsp/ettin-encoder-400m on the ms_marco dataset using the sentence-transformers library. It computes scores for pairs of texts, which can be used for text reranking and semantic search.

Model Details

Model Description

• Model Type: Cross Encoder
• Base model: jhu-clsp/ettin-encoder-400m
• Maximum Sequence Length: 7999 tokens
• Number of Output Labels: 1 label
• Training Dataset:
  • ms_marco
• Language: en

Model Sources

• Documentation: Sentence Transformers Documentation
• Documentation: Cross Encoder Documentation
• Repository: Sentence Transformers on GitHub
• Hugging Face: Cross Encoders on Hugging Face

Usage

Direct Usage (Sentence Transformers)

First install the Sentence Transformers library:

pip install -U sentence-transformers

Then you can load this model and run inference.

from sentence_transformers import CrossEncoder

# Download from the 🤗 Hub
model = CrossEncoder("rahulseetharaman/reranker-msmarco-v1.1-ettin-encoder-400m-listnet")
# Get scores for pairs of texts
pairs = [
    ['what is the salary of an animal shelter manager', 'Average Animal Shelter Salaries. The average salary for animal shelter jobs is $50,000. Average animal shelter salaries can vary greatly due to company, location, industry, experience and benefits. This salary was calculated using the average salary for all jobs with the term animal shelter anywhere in the job listing.'],
    ['what is the salary of an animal shelter manager', 'The salary that an animal shelter manager earns can vary based on a variety of factors such as their specific responsibilities, their years of experience, their educational background, and the region in which the position is located. Most animal shelter manager positions do not carry particularly high salaries, but those who follow animal rescue career paths tend to be willing to sacrifice some earning potential for the prospect of being able to help animals in need.'],
    ['what is the salary of an animal shelter manager', 'Animal shelter managers’ salaries vary depending on their state and location. For example, the Midwest sits at the bottom of the list. Based on the May, 2010 Pay Scale survey, Illinois managers made $35,382, while the average Californian animal shelter manager earned $55,224. Size. The size of animal shelter also correlates to the manager’s salary. The more animals, the more employees, the more responsibility for the manager. In May, 2010, animal shelter managers working in a shelter employing 1 to 9 people, earned $33,835 on average.'],
    ['what is the salary of an animal shelter manager', 'Salary by Region. Salaries for animal shelter managers also vary by region. According to the Salary Expert website, the highest compensation for such positions, about $60,000 a year, is in San Francisco. Animal shelter managers in the New York and Atlanta metro areas can expect to earn about $50,000 a year.'],
    ['what is the salary of an animal shelter manager', 'Experience and years of service factor into an animal shelter manager’s salary. In May 2010, managers with 1 to 4 years of experience earned the least amount of money, $36,061. Those with 20 years or more experience, however, make $60,521, according to Pay Scale. Size. The size of animal shelter also correlates to the manager’s salary. The more animals, the more employees, the more responsibility for the manager. In May, 2010, animal shelter managers working in a shelter employing 1 to 9 people, earned $33,835 on average.'],
]
scores = model.predict(pairs)
print(scores.shape)
# (5,)

# Or rank different texts based on similarity to a single text
ranks = model.rank(
    'what is the salary of an animal shelter manager',
    [
        'Average Animal Shelter Salaries. The average salary for animal shelter jobs is $50,000. Average animal shelter salaries can vary greatly due to company, location, industry, experience and benefits. This salary was calculated using the average salary for all jobs with the term animal shelter anywhere in the job listing.',
        'The salary that an animal shelter manager earns can vary based on a variety of factors such as their specific responsibilities, their years of experience, their educational background, and the region in which the position is located. Most animal shelter manager positions do not carry particularly high salaries, but those who follow animal rescue career paths tend to be willing to sacrifice some earning potential for the prospect of being able to help animals in need.',
        'Animal shelter managers’ salaries vary depending on their state and location. For example, the Midwest sits at the bottom of the list. Based on the May, 2010 Pay Scale survey, Illinois managers made $35,382, while the average Californian animal shelter manager earned $55,224. Size. The size of animal shelter also correlates to the manager’s salary. The more animals, the more employees, the more responsibility for the manager. In May, 2010, animal shelter managers working in a shelter employing 1 to 9 people, earned $33,835 on average.',
        'Salary by Region. Salaries for animal shelter managers also vary by region. According to the Salary Expert website, the highest compensation for such positions, about $60,000 a year, is in San Francisco. Animal shelter managers in the New York and Atlanta metro areas can expect to earn about $50,000 a year.',
        'Experience and years of service factor into an animal shelter manager’s salary. In May 2010, managers with 1 to 4 years of experience earned the least amount of money, $36,061. Those with 20 years or more experience, however, make $60,521, according to Pay Scale. Size. The size of animal shelter also correlates to the manager’s salary. The more animals, the more employees, the more responsibility for the manager. In May, 2010, animal shelter managers working in a shelter employing 1 to 9 people, earned $33,835 on average.',
    ]
)
# [{'corpus_id': ..., 'score': ...}, {'corpus_id': ..., 'score': ...}, ...]

Evaluation

Metrics

Cross Encoder Reranking

• Datasets: NanoMSMARCO_R100, NanoNFCorpus_R100 and NanoNQ_R100
• Evaluated with CrossEncoderRerankingEvaluator with these parameters:

  {
      "at_k": 10,
      "always_rerank_positives": true
  }
  

Metric	NanoMSMARCO_R100	NanoNFCorpus_R100	NanoNQ_R100
map	0.5555 (+0.0659)	0.3715 (+0.1105)	0.6598 (+0.2401)
mrr@10	0.5440 (+0.0665)	0.5840 (+0.0842)	0.6830 (+0.2563)
ndcg@10	0.6012 (+0.0607)	0.4065 (+0.0815)	0.7061 (+0.2055)

Cross Encoder Nano BEIR

• Dataset: NanoBEIR_R100_mean
• Evaluated with CrossEncoderNanoBEIREvaluator with these parameters:

  {
      "dataset_names": [
          "msmarco",
          "nfcorpus",
          "nq"
      ],
      "rerank_k": 100,
      "at_k": 10,
      "always_rerank_positives": true
  }
  

Metric	Value
map	0.5289 (+0.1389)
mrr@10	0.6037 (+0.1356)
ndcg@10	0.5713 (+0.1159)

Training Details

Training Dataset

ms_marco

• Dataset: ms_marco at a47ee7a
• Size: 78,704 training samples
• Columns: query, docs, and labels
• Approximate statistics based on the first 1000 samples:

  	query	docs	labels
  type	string	list	list
  details	min: 10 characters mean: 33.66 characters max: 103 characters	min: 3 elements mean: 6.50 elements max: 10 elements	min: 3 elements mean: 6.50 elements max: 10 elements

• Samples:

  query	docs	labels
  a gram is times as large as a milligram	['1 milligram is 1000 times smaller than 1 gram so 1000 milligram = 1 gram. 1 milligram is 1000 times smaller than 1 gram so 1000 milligram = 1 gram. 1 microgram is 1000 times smaller than a 1 milligram and 1 million times smaller than 1 gram. 1 microgram is 1000 times smaller than a 1 milligram and 1 million times smaller than 1 gram. It takes 1 million mcg = 1 gram. Kilograms are 1000 times larger than a gram (1 kg = 1000 g). Kilograms are 1000 times larger than a gram (1 kg = 1000 g). Kilograms is used to denote weights of clients, upon med doses are based.', 'So to find out how many milligrams in grams, simply multiply it by 1000 or instead, use the converter below. 1 Gram = 1000 Milligrams. Gram is a metric system unit of mass. It is one thousandth (1/1000) of the metric system base unit, kilogram. It is a very commonly used unit of mass in daily life. The abbreviation is g. Milligram is a small unit of mass in metric system and used commonly in medicine and pharmacy etc.', 'A kil...	[1, 1, 0, 0, 0, ...]
  income limit for dependent on taxes	['Qualifying Relative. For qualifying relatives, there is a strict limit on how much income they could make during the year. A qualifying relative cannot make more than $3,700 of gross income during the year. If he makes more than $3,700, then he cannot be a dependent. ', "Claiming an earner as a dependent can also affect that person's own tax filing. She can only claim her earned income plus $300 as a standard deduction on her return if this amounts to less than the standard deduction for that year, $5,950 as of 2012. Your dependent cannot claim anyone else as a dependent on her own return.", 'If you had $12,000 in income, for example, and $800 in eligible child care expenses, then, your credit would be 35 percent of $800, or $280. For taxpayers with incomes of more than $43,000, the percentage was 20 percent, with no upper income limit. So whether you had income of $44,000 or $440,000, your credit would be 20 percent. If you had $2,000 in care expenses, that translates to $400.', 'Hi...	[1, 0, 0, 0, 0, ...]
  how much does it cost to have your own website	["Some hosts also offer discounts if you pay a year (or more) in advance. Prices vary from web host to web host but are usually (at the time I wrote this article) around $10 per month if your website is new and doesn't have much traffic or data. There are many ways to advertise your site, such as in newspapers, magazines, TV, as well as over the web. Since the cost for ads in the traditional media varies from country to country, you will have to do your own research.", 'Domain Registration. To have your own domain name (.com, .net, .org, .nu) you must register the domain. This typically costs anywhere between $10 to $12 (USD) and is billed on a yearly basis. GoDaddy and E-Starr are two companies that register your domain for less than $12 a year.', 'At minimum, you need to invest in your own domain name and hosting. Depending on the type of domain name you choose, the costs could run from just $10 a year, to hundreds or even millions ! The options for website hosting run the gamut in p...	[1, 0, 0, 0, 0, ...]

• Loss: ListNetLoss with these parameters:

  {
      "activation_fn": "torch.nn.modules.linear.Identity",
      "mini_batch_size": 16
  }
  

Evaluation Dataset

ms_marco

• Dataset: ms_marco at a47ee7a
• Size: 1,000 evaluation samples
• Columns: query, docs, and labels
• Approximate statistics based on the first 1000 samples:

  	query	docs	labels
  type	string	list	list
  details	min: 11 characters mean: 34.3 characters max: 105 characters	min: 3 elements mean: 6.50 elements max: 10 elements	min: 3 elements mean: 6.50 elements max: 10 elements

• Samples:

  query	docs	labels
  what is the salary of an animal shelter manager	['Average Animal Shelter Salaries. The average salary for animal shelter jobs is $50,000. Average animal shelter salaries can vary greatly due to company, location, industry, experience and benefits. This salary was calculated using the average salary for all jobs with the term animal shelter anywhere in the job listing.', 'The salary that an animal shelter manager earns can vary based on a variety of factors such as their specific responsibilities, their years of experience, their educational background, and the region in which the position is located. Most animal shelter manager positions do not carry particularly high salaries, but those who follow animal rescue career paths tend to be willing to sacrifice some earning potential for the prospect of being able to help animals in need.', 'Animal shelter managers’ salaries vary depending on their state and location. For example, the Midwest sits at the bottom of the list. Based on the May, 2010 Pay Scale survey, Illinois managers made ...	[1, 0, 0, 0, 0, ...]
  how long do quail eggs take to hatch	['I am often asked how long it takes quail eggs to hatch. The incubation period for bobwhite quail eggs is 23-24 days. Here is a link to information on incubating bobwhite quail eggs http://www.farmingfriends.com/incubating-bobwhite-quail-eggs/. The incubation period for Coturnix (Japanese) quail eggs is 17 days. Here is a link for information about incubating japanese quail eggs. http://www.farmingfriends.com/incubating-coturnix-japanese-quail/. Usually the hen will keep sitting if she thinks the other eggs are fertile and I have read that the hen can feel movement in the eggs so will keep sitting. Quail eggs take about 17 days to hatch and hen eggs take 21 days.', 'Turkey eggs usually take 21 to 28 days to hatch depending on what they are incubated in like an incubator or by a hen. It also depends on how fertile it is and how it is cared … for. It usually takes closer to 28 days. ', 'When you are trying to hatch Tennessee red quail eggs, it will take approximately 23 days. You shoul...	[1, 0, 0, 0, 0, ...]
  sign of june	['June 1 – June 20 Gemini June 21 – June 30 Cancer. Those bearing the Gemini zodiac are incredibly flexible people who can adapt to almost any situation. They also possess a tenacity that not only enables them to rise above major setbacks but to take full advantage of negative situations as well.', 'Air is your paired element and as a Gemini, you have the most fluid connection with air out of any of the zodiac signs. You often witness curiosity pushing through you like a constant breeze and once you find something that truly interests you, your will seems to push with purpose.', 'There are 12 different stones listed as birthstones for the calendar month of June, or as Sun/Star, Planetary, or Talismanic stones for the Zodiac sign of Gemini or Cancer.', 'If you were born on the 26th of June you are a Cancer in the Western zodiac.', 'Birthday Meanings Of People Born On 6th June (Zodiac Sign Gemini). IF YOUR BIRTHDAY IS June 6, then you are a Gemini, who love to joke and play around. The G...	[1, 0, 0, 0, 0, ...]

• Loss: ListNetLoss with these parameters:

  {
      "activation_fn": "torch.nn.modules.linear.Identity",
      "mini_batch_size": 16
  }
  

Training Hyperparameters

Non-Default Hyperparameters

• eval_strategy: steps
• per_device_train_batch_size: 16
• per_device_eval_batch_size: 16
• learning_rate: 2e-05
• num_train_epochs: 5
• seed: 12
• bf16: True
• load_best_model_at_end: True

All Hyperparameters

Click to expand

• overwrite_output_dir: False
• do_predict: False
• eval_strategy: steps
• prediction_loss_only: True
• per_device_train_batch_size: 16
• per_device_eval_batch_size: 16
• per_gpu_train_batch_size: None
• per_gpu_eval_batch_size: None
• gradient_accumulation_steps: 1
• eval_accumulation_steps: None
• torch_empty_cache_steps: None
• learning_rate: 2e-05
• weight_decay: 0.0
• adam_beta1: 0.9
• adam_beta2: 0.999
• adam_epsilon: 1e-08
• max_grad_norm: 1.0
• num_train_epochs: 5
• max_steps: -1
• lr_scheduler_type: linear
• lr_scheduler_kwargs: {}
• warmup_ratio: 0.0
• warmup_steps: 0
• log_level: passive
• log_level_replica: warning
• log_on_each_node: True
• logging_nan_inf_filter: True
• save_safetensors: True
• save_on_each_node: False
• save_only_model: False
• restore_callback_states_from_checkpoint: False
• no_cuda: False
• use_cpu: False
• use_mps_device: False
• seed: 12
• data_seed: None
• jit_mode_eval: False
• use_ipex: False
• bf16: True
• fp16: False
• fp16_opt_level: O1
• half_precision_backend: auto
• bf16_full_eval: False
• fp16_full_eval: False
• tf32: None
• local_rank: 0
• ddp_backend: None
• tpu_num_cores: None
• tpu_metrics_debug: False
• debug: []
• dataloader_drop_last: False
• dataloader_num_workers: 0
• dataloader_prefetch_factor: None
• past_index: -1
• disable_tqdm: False
• remove_unused_columns: True
• label_names: None
• load_best_model_at_end: True
• ignore_data_skip: False
• fsdp: []
• fsdp_min_num_params: 0
• fsdp_config: {'min_num_params': 0, 'xla': False, 'xla_fsdp_v2': False, 'xla_fsdp_grad_ckpt': False}
• fsdp_transformer_layer_cls_to_wrap: None
• accelerator_config: {'split_batches': False, 'dispatch_batches': None, 'even_batches': True, 'use_seedable_sampler': True, 'non_blocking': False, 'gradient_accumulation_kwargs': None}
• deepspeed: None
• label_smoothing_factor: 0.0
• optim: adamw_torch
• optim_args: None
• adafactor: False
• group_by_length: False
• length_column_name: length
• ddp_find_unused_parameters: None
• ddp_bucket_cap_mb: None
• ddp_broadcast_buffers: False
• dataloader_pin_memory: True
• dataloader_persistent_workers: False
• skip_memory_metrics: True
• use_legacy_prediction_loop: False
• push_to_hub: False
• resume_from_checkpoint: None
• hub_model_id: None
• hub_strategy: every_save
• hub_private_repo: None
• hub_always_push: False
• hub_revision: None
• gradient_checkpointing: False
• gradient_checkpointing_kwargs: None
• include_inputs_for_metrics: False
• include_for_metrics: []
• eval_do_concat_batches: True
• fp16_backend: auto
• push_to_hub_model_id: None
• push_to_hub_organization: None
• mp_parameters:
• auto_find_batch_size: False
• full_determinism: False
• torchdynamo: None
• ray_scope: last
• ddp_timeout: 1800
• torch_compile: False
• torch_compile_backend: None
• torch_compile_mode: None
• include_tokens_per_second: False
• include_num_input_tokens_seen: False
• neftune_noise_alpha: None
• optim_target_modules: None
• batch_eval_metrics: False
• eval_on_start: False
• use_liger_kernel: False
• liger_kernel_config: None
• eval_use_gather_object: False
• average_tokens_across_devices: False
• prompts: None
• batch_sampler: batch_sampler
• multi_dataset_batch_sampler: proportional
• router_mapping: {}
• learning_rate_mapping: {}

Training Logs

Click to expand

Epoch	Step	Training Loss	Validation Loss	NanoMSMARCO_R100_ndcg@10	NanoNFCorpus_R100_ndcg@10	NanoNQ_R100_ndcg@10	NanoBEIR_R100_mean_ndcg@10
-1	-1	-	-	0.0475 (-0.4929)	0.2463 (-0.0787)	0.0589 (-0.4418)	0.1176 (-0.3378)
0.0002	1	2.1526	-	-	-	-	-
0.0203	100	2.0847	2.0890	0.1559 (-0.3845)	0.2694 (-0.0556)	0.1030 (-0.3976)	0.1761 (-0.2792)
0.0407	200	2.0834	2.0844	0.3588 (-0.1817)	0.2750 (-0.0500)	0.3993 (-0.1013)	0.3444 (-0.1110)
0.0610	300	2.0775	2.0807	0.4209 (-0.1196)	0.3176 (-0.0075)	0.3781 (-0.1226)	0.3722 (-0.0832)
0.0813	400	2.0934	2.0779	0.5085 (-0.0319)	0.3194 (-0.0056)	0.5146 (+0.0140)	0.4475 (-0.0079)
0.1016	500	2.0693	2.0760	0.5408 (+0.0003)	0.3275 (+0.0024)	0.5793 (+0.0786)	0.4825 (+0.0271)
0.1220	600	2.0753	2.0753	0.5580 (+0.0176)	0.3464 (+0.0213)	0.6250 (+0.1244)	0.5098 (+0.0544)
0.1423	700	2.0712	2.0752	0.5756 (+0.0352)	0.3418 (+0.0168)	0.6753 (+0.1747)	0.5309 (+0.0756)
0.1626	800	2.0688	2.0743	0.5689 (+0.0284)	0.3171 (-0.0079)	0.6427 (+0.1420)	0.5096 (+0.0542)
0.1830	900	2.0723	2.0742	0.5762 (+0.0358)	0.3681 (+0.0431)	0.6712 (+0.1705)	0.5385 (+0.0831)
0.2033	1000	2.0743	2.0744	0.5799 (+0.0394)	0.3723 (+0.0473)	0.6483 (+0.1477)	0.5335 (+0.0781)
0.2236	1100	2.0728	2.0739	0.5995 (+0.0590)	0.3717 (+0.0467)	0.6674 (+0.1668)	0.5462 (+0.0908)
0.2440	1200	2.0735	2.0747	0.5869 (+0.0465)	0.3735 (+0.0484)	0.6365 (+0.1359)	0.5323 (+0.0770)
0.2643	1300	2.0677	2.0733	0.6003 (+0.0598)	0.3783 (+0.0532)	0.5812 (+0.0806)	0.5199 (+0.0646)
0.2846	1400	2.0647	2.0739	0.5669 (+0.0264)	0.3423 (+0.0172)	0.6041 (+0.1034)	0.5044 (+0.0490)
0.3049	1500	2.0764	2.0740	0.5728 (+0.0324)	0.3761 (+0.0510)	0.6380 (+0.1373)	0.5289 (+0.0736)
0.3253	1600	2.0652	2.0741	0.6202 (+0.0797)	0.3806 (+0.0556)	0.6523 (+0.1516)	0.5510 (+0.0956)
0.3456	1700	2.0733	2.0731	0.5948 (+0.0544)	0.3869 (+0.0619)	0.6421 (+0.1415)	0.5413 (+0.0859)
0.3659	1800	2.0679	2.0734	0.5797 (+0.0393)	0.3790 (+0.0540)	0.6340 (+0.1333)	0.5309 (+0.0755)
0.3863	1900	2.075	2.0733	0.6027 (+0.0623)	0.3931 (+0.0680)	0.6285 (+0.1278)	0.5414 (+0.0861)
0.4066	2000	2.0724	2.0732	0.5920 (+0.0516)	0.4056 (+0.0806)	0.6277 (+0.1271)	0.5418 (+0.0864)
0.4269	2100	2.0866	2.0721	0.6059 (+0.0655)	0.4060 (+0.0810)	0.6602 (+0.1596)	0.5574 (+0.1020)
0.4472	2200	2.0738	2.0725	0.6148 (+0.0744)	0.4167 (+0.0917)	0.6356 (+0.1350)	0.5557 (+0.1003)
0.4676	2300	2.0699	2.0722	0.6112 (+0.0707)	0.3992 (+0.0742)	0.6919 (+0.1913)	0.5674 (+0.1121)
0.4879	2400	2.0673	2.0725	0.5909 (+0.0505)	0.3820 (+0.0570)	0.6462 (+0.1455)	0.5397 (+0.0843)
0.5082	2500	2.0687	2.0725	0.5926 (+0.0521)	0.3838 (+0.0587)	0.6493 (+0.1486)	0.5419 (+0.0865)
0.5286	2600	2.0649	2.0725	0.6206 (+0.0801)	0.3825 (+0.0574)	0.6708 (+0.1702)	0.5580 (+0.1026)
0.5489	2700	2.0686	2.0729	0.5457 (+0.0053)	0.3728 (+0.0478)	0.6497 (+0.1491)	0.5227 (+0.0674)
0.5692	2800	2.0774	2.0716	0.5827 (+0.0422)	0.3931 (+0.0680)	0.6744 (+0.1737)	0.5500 (+0.0947)
0.5896	2900	2.0638	2.0724	0.6289 (+0.0884)	0.3915 (+0.0665)	0.6878 (+0.1872)	0.5694 (+0.1140)
0.6099	3000	2.0509	2.0718	0.5888 (+0.0483)	0.3906 (+0.0656)	0.6806 (+0.1800)	0.5533 (+0.0980)
0.6302	3100	2.0703	2.0715	0.6150 (+0.0746)	0.3832 (+0.0582)	0.6645 (+0.1638)	0.5542 (+0.0989)
0.6505	3200	2.0785	2.0718	0.5982 (+0.0577)	0.3766 (+0.0515)	0.6867 (+0.1860)	0.5538 (+0.0984)
0.6709	3300	2.0691	2.0716	0.6034 (+0.0629)	0.3814 (+0.0563)	0.6262 (+0.1255)	0.5370 (+0.0816)
0.6912	3400	2.0648	2.0721	0.6354 (+0.0950)	0.3811 (+0.0560)	0.6841 (+0.1834)	0.5669 (+0.1115)
0.7115	3500	2.0645	2.0719	0.6226 (+0.0821)	0.3802 (+0.0551)	0.6867 (+0.1860)	0.5631 (+0.1078)
0.7319	3600	2.0627	2.0719	0.5720 (+0.0316)	0.3800 (+0.0549)	0.6702 (+0.1696)	0.5407 (+0.0854)
0.7522	3700	2.0737	2.0719	0.5945 (+0.0540)	0.3793 (+0.0542)	0.6807 (+0.1801)	0.5515 (+0.0961)
0.7725	3800	2.0659	2.0721	0.5833 (+0.0429)	0.3749 (+0.0498)	0.6565 (+0.1559)	0.5382 (+0.0829)
0.7928	3900	2.063	2.0724	0.6012 (+0.0607)	0.4065 (+0.0815)	0.7061 (+0.2055)	0.5713 (+0.1159)
0.8132	4000	2.0685	2.0720	0.6246 (+0.0842)	0.3876 (+0.0626)	0.6563 (+0.1556)	0.5562 (+0.1008)
0.8335	4100	2.0705	2.0719	0.6045 (+0.0641)	0.3731 (+0.0480)	0.6908 (+0.1902)	0.5561 (+0.1008)
0.8538	4200	2.066	2.0714	0.6121 (+0.0717)	0.3783 (+0.0533)	0.6603 (+0.1597)	0.5503 (+0.0949)
0.8742	4300	2.06	2.0716	0.6186 (+0.0782)	0.3877 (+0.0627)	0.6495 (+0.1488)	0.5520 (+0.0966)
0.8945	4400	2.0777	2.0710	0.6079 (+0.0674)	0.3937 (+0.0686)	0.6654 (+0.1647)	0.5556 (+0.1003)
0.9148	4500	2.0558	2.0725	0.6238 (+0.0833)	0.3757 (+0.0507)	0.6381 (+0.1374)	0.5458 (+0.0905)
0.9351	4600	2.0675	2.0718	0.6313 (+0.0909)	0.3729 (+0.0478)	0.6558 (+0.1551)	0.5533 (+0.0979)
0.9555	4700	2.0755	2.0726	0.6048 (+0.0644)	0.3500 (+0.0250)	0.6126 (+0.1120)	0.5225 (+0.0671)
0.9758	4800	2.0658	2.0716	0.6217 (+0.0812)	0.3875 (+0.0625)	0.6695 (+0.1689)	0.5596 (+0.1042)
0.9961	4900	2.0735	2.0716	0.6073 (+0.0669)	0.3537 (+0.0287)	0.6470 (+0.1463)	0.5360 (+0.0806)
1.0165	5000	2.061	2.0712	0.6010 (+0.0605)	0.3785 (+0.0534)	0.6492 (+0.1486)	0.5429 (+0.0875)
1.0368	5100	2.0642	2.0719	0.6026 (+0.0622)	0.3840 (+0.0589)	0.6498 (+0.1491)	0.5454 (+0.0901)
1.0571	5200	2.0681	2.0711	0.6143 (+0.0739)	0.3802 (+0.0551)	0.7052 (+0.2046)	0.5666 (+0.1112)
1.0775	5300	2.0596	2.0709	0.6166 (+0.0762)	0.3897 (+0.0647)	0.6642 (+0.1636)	0.5569 (+0.1015)
1.0978	5400	2.0576	2.0710	0.5779 (+0.0375)	0.3831 (+0.0581)	0.6276 (+0.1269)	0.5295 (+0.0742)
1.1181	5500	2.0675	2.0720	0.6164 (+0.0759)	0.3843 (+0.0593)	0.6712 (+0.1705)	0.5573 (+0.1019)
1.1384	5600	2.0647	2.0720	0.5934 (+0.0529)	0.3860 (+0.0610)	0.6664 (+0.1657)	0.5486 (+0.0932)
1.1588	5700	2.0587	2.0715	0.6235 (+0.0831)	0.3813 (+0.0562)	0.6858 (+0.1852)	0.5635 (+0.1082)
1.1791	5800	2.0608	2.0718	0.6298 (+0.0894)	0.3680 (+0.0430)	0.6572 (+0.1565)	0.5517 (+0.0963)
1.1994	5900	2.0642	2.0720	0.5838 (+0.0434)	0.3961 (+0.0710)	0.6678 (+0.1671)	0.5492 (+0.0939)
1.2198	6000	2.0588	2.0719	0.5920 (+0.0516)	0.3869 (+0.0619)	0.6653 (+0.1646)	0.5481 (+0.0927)
1.2401	6100	2.0631	2.0722	0.5666 (+0.0262)	0.3672 (+0.0421)	0.6692 (+0.1685)	0.5343 (+0.0789)
1.2604	6200	2.0591	2.0724	0.5742 (+0.0338)	0.3637 (+0.0387)	0.6546 (+0.1540)	0.5309 (+0.0755)
1.2807	6300	2.0567	2.0725	0.5693 (+0.0288)	0.3756 (+0.0506)	0.6682 (+0.1676)	0.5377 (+0.0823)
1.3011	6400	2.0597	2.0716	0.5587 (+0.0183)	0.3599 (+0.0349)	0.6731 (+0.1724)	0.5306 (+0.0752)
1.3214	6500	2.0647	2.0727	0.5838 (+0.0434)	0.3633 (+0.0383)	0.6556 (+0.1550)	0.5343 (+0.0789)
1.3417	6600	2.0624	2.0712	0.5602 (+0.0198)	0.3697 (+0.0446)	0.6359 (+0.1353)	0.5219 (+0.0666)
1.3621	6700	2.0604	2.0714	0.5784 (+0.0379)	0.3629 (+0.0379)	0.6383 (+0.1376)	0.5265 (+0.0711)
1.3824	6800	2.0702	2.0711	0.5400 (-0.0004)	0.3814 (+0.0563)	0.5985 (+0.0979)	0.5066 (+0.0512)
1.4027	6900	2.0569	2.0713	0.5239 (-0.0165)	0.3827 (+0.0576)	0.6110 (+0.1103)	0.5059 (+0.0505)
1.4231	7000	2.0689	2.0726	0.5382 (-0.0022)	0.3912 (+0.0661)	0.6323 (+0.1316)	0.5205 (+0.0652)
1.4434	7100	2.056	2.0717	0.5331 (-0.0074)	0.3691 (+0.0441)	0.6244 (+0.1238)	0.5089 (+0.0535)
1.4637	7200	2.0573	2.0717	0.5668 (+0.0263)	0.3769 (+0.0519)	0.6235 (+0.1228)	0.5224 (+0.0670)
1.4840	7300	2.0544	2.0720	0.5543 (+0.0139)	0.3875 (+0.0624)	0.6240 (+0.1233)	0.5219 (+0.0666)
1.5044	7400	2.0684	2.0718	0.5684 (+0.0280)	0.3753 (+0.0503)	0.6075 (+0.1068)	0.5171 (+0.0617)
1.5247	7500	2.0588	2.0718	0.5663 (+0.0259)	0.3904 (+0.0654)	0.6564 (+0.1557)	0.5377 (+0.0823)
1.5450	7600	2.0556	2.0713	0.5764 (+0.0360)	0.3732 (+0.0482)	0.6323 (+0.1317)	0.5273 (+0.0719)
1.5654	7700	2.0572	2.0716	0.5589 (+0.0185)	0.3876 (+0.0626)	0.6327 (+0.1320)	0.5264 (+0.0710)
1.5857	7800	2.0662	2.0712	0.5577 (+0.0173)	0.3912 (+0.0662)	0.6744 (+0.1737)	0.5411 (+0.0857)
1.6060	7900	2.063	2.0720	0.5444 (+0.0040)	0.3859 (+0.0609)	0.6401 (+0.1395)	0.5235 (+0.0681)
1.6263	8000	2.0641	2.0728	0.5565 (+0.0160)	0.4032 (+0.0781)	0.6318 (+0.1311)	0.5305 (+0.0751)
1.6467	8100	2.0529	2.0720	0.5508 (+0.0104)	0.3929 (+0.0679)	0.6016 (+0.1010)	0.5151 (+0.0598)
1.6670	8200	2.0734	2.0732	0.5626 (+0.0221)	0.3920 (+0.0670)	0.6223 (+0.1216)	0.5256 (+0.0702)
1.6873	8300	2.0645	2.0719	0.5660 (+0.0255)	0.3953 (+0.0702)	0.6511 (+0.1504)	0.5374 (+0.0821)
1.7077	8400	2.0637	2.0719	0.5640 (+0.0236)	0.3890 (+0.0640)	0.6608 (+0.1602)	0.5379 (+0.0826)
1.7280	8500	2.0588	2.0715	0.5875 (+0.0471)	0.3911 (+0.0661)	0.6827 (+0.1820)	0.5538 (+0.0984)
1.7483	8600	2.0584	2.0720	0.5755 (+0.0351)	0.4047 (+0.0797)	0.6930 (+0.1924)	0.5578 (+0.1024)
1.7687	8700	2.0622	2.0726	0.5884 (+0.0480)	0.3793 (+0.0542)	0.6777 (+0.1771)	0.5485 (+0.0931)
1.7890	8800	2.059	2.0725	0.5876 (+0.0472)	0.3962 (+0.0712)	0.7014 (+0.2007)	0.5617 (+0.1064)
1.8093	8900	2.0561	2.0720	0.5855 (+0.0451)	0.3997 (+0.0747)	0.6678 (+0.1671)	0.5510 (+0.0956)
1.8296	9000	2.0627	2.0718	0.5876 (+0.0472)	0.3902 (+0.0652)	0.6706 (+0.1700)	0.5495 (+0.0941)
1.8500	9100	2.0516	2.0716	0.5754 (+0.0349)	0.3946 (+0.0696)	0.6524 (+0.1518)	0.5408 (+0.0854)
1.8703	9200	2.0553	2.0714	0.5678 (+0.0274)	0.3869 (+0.0619)	0.6543 (+0.1536)	0.5363 (+0.0810)
1.8906	9300	2.0606	2.0714	0.5426 (+0.0022)	0.4028 (+0.0778)	0.6784 (+0.1778)	0.5413 (+0.0859)
1.9110	9400	2.0502	2.0714	0.5644 (+0.0240)	0.3986 (+0.0736)	0.6751 (+0.1745)	0.5461 (+0.0907)
1.9313	9500	2.0617	2.0719	0.5160 (-0.0244)	0.3915 (+0.0664)	0.6381 (+0.1374)	0.5152 (+0.0598)
1.9516	9600	2.0525	2.0712	0.5532 (+0.0128)	0.3886 (+0.0636)	0.6453 (+0.1446)	0.5290 (+0.0737)
1.9719	9700	2.059	2.0713	0.5565 (+0.0161)	0.3922 (+0.0671)	0.6576 (+0.1569)	0.5354 (+0.0800)
1.9923	9800	2.0607	2.0723	0.5623 (+0.0219)	0.3930 (+0.0680)	0.6539 (+0.1533)	0.5364 (+0.0810)
2.0126	9900	2.0462	2.0758	0.5482 (+0.0078)	0.4075 (+0.0825)	0.6371 (+0.1364)	0.5309 (+0.0756)
2.0329	10000	2.0481	2.0783	0.5441 (+0.0037)	0.3783 (+0.0532)	0.6386 (+0.1379)	0.5203 (+0.0649)
2.0533	10100	2.0392	2.0772	0.5299 (-0.0106)	0.3750 (+0.0499)	0.6398 (+0.1391)	0.5149 (+0.0595)
2.0736	10200	2.0362	2.0779	0.5068 (-0.0337)	0.3699 (+0.0448)	0.6162 (+0.1156)	0.4976 (+0.0422)
2.0939	10300	2.0312	2.0782	0.5188 (-0.0216)	0.3783 (+0.0533)	0.6282 (+0.1275)	0.5085 (+0.0531)
2.1143	10400	2.0307	2.0773	0.5011 (-0.0393)	0.3768 (+0.0517)	0.6125 (+0.1118)	0.4968 (+0.0414)
2.1346	10500	2.0425	2.0779	0.5203 (-0.0201)	0.3796 (+0.0545)	0.6380 (+0.1373)	0.5126 (+0.0572)
2.1549	10600	2.0441	2.0793	0.5256 (-0.0148)	0.3671 (+0.0421)	0.6091 (+0.1085)	0.5006 (+0.0453)
2.1752	10700	2.046	2.0786	0.5220 (-0.0184)	0.3836 (+0.0585)	0.6237 (+0.1231)	0.5097 (+0.0544)
2.1956	10800	2.0384	2.0763	0.5089 (-0.0315)	0.3791 (+0.0541)	0.6307 (+0.1300)	0.5062 (+0.0509)
2.2159	10900	2.0373	2.0787	0.5019 (-0.0386)	0.3699 (+0.0448)	0.6322 (+0.1316)	0.5013 (+0.0459)
2.2362	11000	2.0377	2.0772	0.5220 (-0.0184)	0.3697 (+0.0447)	0.5991 (+0.0984)	0.4969 (+0.0416)
2.2566	11100	2.0422	2.0766	0.5232 (-0.0173)	0.3803 (+0.0552)	0.6249 (+0.1243)	0.5094 (+0.0541)
2.2769	11200	2.0412	2.0763	0.5138 (-0.0266)	0.3739 (+0.0489)	0.5752 (+0.0746)	0.4877 (+0.0323)
2.2972	11300	2.0411	2.0777	0.5240 (-0.0164)	0.3728 (+0.0478)	0.6340 (+0.1334)	0.5103 (+0.0549)
2.3175	11400	2.0392	2.0770	0.5093 (-0.0312)	0.3638 (+0.0387)	0.5971 (+0.0965)	0.4901 (+0.0347)
2.3379	11500	2.0346	2.0798	0.5061 (-0.0343)	0.3748 (+0.0497)	0.6418 (+0.1412)	0.5076 (+0.0522)
2.3582	11600	2.0501	2.0772	0.5231 (-0.0173)	0.3734 (+0.0483)	0.6018 (+0.1012)	0.4994 (+0.0441)
2.3785	11700	2.0488	2.0787	0.4924 (-0.0480)	0.3830 (+0.0580)	0.6310 (+0.1304)	0.5021 (+0.0468)
2.3989	11800	2.0407	2.0752	0.5073 (-0.0332)	0.3853 (+0.0602)	0.6053 (+0.1046)	0.4993 (+0.0439)
2.4192	11900	2.039	2.0793	0.5047 (-0.0357)	0.3815 (+0.0565)	0.6049 (+0.1042)	0.4970 (+0.0417)
2.4395	12000	2.0405	2.0762	0.4999 (-0.0405)	0.3797 (+0.0547)	0.6229 (+0.1222)	0.5009 (+0.0455)
2.4598	12100	2.0422	2.0773	0.5257 (-0.0147)	0.3741 (+0.0490)	0.6304 (+0.1297)	0.5100 (+0.0547)
2.4802	12200	2.0395	2.0787	0.5189 (-0.0215)	0.3614 (+0.0364)	0.6396 (+0.1389)	0.5066 (+0.0513)
2.5005	12300	2.0357	2.0800	0.4991 (-0.0413)	0.3693 (+0.0442)	0.6140 (+0.1133)	0.4941 (+0.0387)
2.5208	12400	2.0449	2.0766	0.4701 (-0.0704)	0.3703 (+0.0453)	0.6154 (+0.1147)	0.4852 (+0.0299)
2.5412	12500	2.0362	2.0765	0.4795 (-0.0609)	0.3794 (+0.0543)	0.6068 (+0.1062)	0.4886 (+0.0332)
2.5615	12600	2.0357	2.0774	0.4893 (-0.0511)	0.3635 (+0.0385)	0.6128 (+0.1121)	0.4885 (+0.0332)
2.5818	12700	2.0478	2.0793	0.4924 (-0.0481)	0.3738 (+0.0488)	0.6028 (+0.1022)	0.4897 (+0.0343)
2.6022	12800	2.0378	2.0777	0.5023 (-0.0381)	0.3667 (+0.0417)	0.6150 (+0.1144)	0.4947 (+0.0393)
2.6225	12900	2.0377	2.0787	0.5118 (-0.0286)	0.3709 (+0.0459)	0.6317 (+0.1310)	0.5048 (+0.0494)
2.6428	13000	2.0392	2.0791	0.5099 (-0.0305)	0.3829 (+0.0579)	0.6300 (+0.1293)	0.5076 (+0.0522)
2.6631	13100	2.0367	2.0786	0.5189 (-0.0215)	0.3890 (+0.0639)	0.6537 (+0.1530)	0.5205 (+0.0651)
2.6835	13200	2.0431	2.0771	0.4851 (-0.0553)	0.3682 (+0.0431)	0.6240 (+0.1234)	0.4924 (+0.0371)
2.7038	13300	2.0392	2.0793	0.5057 (-0.0347)	0.3841 (+0.0590)	0.6380 (+0.1373)	0.5092 (+0.0539)
2.7241	13400	2.0443	2.0767	0.4739 (-0.0665)	0.3669 (+0.0418)	0.6151 (+0.1145)	0.4853 (+0.0299)
2.7445	13500	2.0501	2.0773	0.4633 (-0.0771)	0.3543 (+0.0293)	0.6069 (+0.1063)	0.4748 (+0.0195)
2.7648	13600	2.0321	2.0780	0.4930 (-0.0474)	0.3644 (+0.0394)	0.6082 (+0.1075)	0.4885 (+0.0332)
2.7851	13700	2.0273	2.0786	0.4572 (-0.0832)	0.3653 (+0.0402)	0.6065 (+0.1058)	0.4763 (+0.0210)
2.8054	13800	2.0326	2.0776	0.4665 (-0.0739)	0.3709 (+0.0459)	0.5942 (+0.0936)	0.4772 (+0.0218)
2.8258	13900	2.0489	2.0769	0.4748 (-0.0657)	0.3716 (+0.0466)	0.5893 (+0.0886)	0.4785 (+0.0232)
2.8461	14000	2.0442	2.0775	0.5012 (-0.0392)	0.3711 (+0.0460)	0.5988 (+0.0981)	0.4903 (+0.0350)
2.8664	14100	2.0365	2.0779	0.4766 (-0.0639)	0.3759 (+0.0508)	0.5890 (+0.0884)	0.4805 (+0.0251)
2.8868	14200	2.0334	2.0771	0.4703 (-0.0701)	0.3729 (+0.0478)	0.5817 (+0.0810)	0.4749 (+0.0196)
2.9071	14300	2.037	2.0777	0.4868 (-0.0536)	0.3748 (+0.0498)	0.6002 (+0.0996)	0.4873 (+0.0319)
2.9274	14400	2.0465	2.0775	0.4884 (-0.0520)	0.3658 (+0.0408)	0.6351 (+0.1345)	0.4965 (+0.0411)
2.9478	14500	2.0314	2.0779	0.4955 (-0.0449)	0.3627 (+0.0377)	0.6120 (+0.1114)	0.4901 (+0.0347)
2.9681	14600	2.0436	2.0776	0.5073 (-0.0331)	0.3639 (+0.0389)	0.5965 (+0.0958)	0.4892 (+0.0339)
2.9884	14700	2.0382	2.0771	0.4987 (-0.0417)	0.3728 (+0.0477)	0.6041 (+0.1034)	0.4919 (+0.0365)
3.0087	14800	2.0339	2.0793	0.4615 (-0.0789)	0.3673 (+0.0423)	0.5634 (+0.0628)	0.4641 (+0.0087)
3.0291	14900	2.0197	2.0827	0.4515 (-0.0889)	0.3683 (+0.0433)	0.5774 (+0.0767)	0.4658 (+0.0104)
3.0494	15000	2.0155	2.0809	0.4226 (-0.1178)	0.3684 (+0.0434)	0.5542 (+0.0536)	0.4484 (-0.0069)
3.0697	15100	2.0157	2.0833	0.4044 (-0.1360)	0.3721 (+0.0471)	0.5168 (+0.0162)	0.4311 (-0.0242)
3.0901	15200	2.0132	2.0821	0.4341 (-0.1064)	0.3650 (+0.0400)	0.5546 (+0.0539)	0.4512 (-0.0041)
3.1104	15300	2.0201	2.0829	0.4324 (-0.1081)	0.3527 (+0.0277)	0.5693 (+0.0687)	0.4515 (-0.0039)
3.1307	15400	2.0219	2.0816	0.4606 (-0.0798)	0.3623 (+0.0373)	0.5450 (+0.0443)	0.4560 (+0.0006)
3.1510	15500	2.0189	2.0821	0.4729 (-0.0675)	0.3579 (+0.0328)	0.5762 (+0.0756)	0.4690 (+0.0136)
3.1714	15600	2.0126	2.0831	0.4415 (-0.0989)	0.3503 (+0.0253)	0.5613 (+0.0606)	0.4510 (-0.0043)
3.1917	15700	2.0201	2.0843	0.4552 (-0.0852)	0.3488 (+0.0238)	0.5897 (+0.0891)	0.4646 (+0.0092)
3.2120	15800	2.0189	2.0850	0.4860 (-0.0544)	0.3520 (+0.0270)	0.5931 (+0.0924)	0.4770 (+0.0217)
3.2324	15900	2.0196	2.0827	0.4668 (-0.0736)	0.3485 (+0.0235)	0.5721 (+0.0715)	0.4625 (+0.0071)
3.2527	16000	2.0195	2.0831	0.4649 (-0.0756)	0.3522 (+0.0272)	0.5928 (+0.0921)	0.4699 (+0.0146)
3.2730	16100	2.0197	2.0830	0.4790 (-0.0614)	0.3549 (+0.0298)	0.5798 (+0.0792)	0.4712 (+0.0159)
3.2934	16200	2.0253	2.0824	0.4680 (-0.0725)	0.3633 (+0.0383)	0.5854 (+0.0848)	0.4722 (+0.0169)
3.3137	16300	2.0244	2.0844	0.4810 (-0.0594)	0.3678 (+0.0427)	0.5862 (+0.0855)	0.4783 (+0.0230)
3.3340	16400	2.0164	2.0844	0.4550 (-0.0854)	0.3614 (+0.0364)	0.5888 (+0.0881)	0.4684 (+0.0130)
3.3543	16500	2.0065	2.0835	0.5012 (-0.0392)	0.3629 (+0.0379)	0.6218 (+0.1212)	0.4953 (+0.0399)
3.3747	16600	2.02	2.0830	0.4915 (-0.0489)	0.3518 (+0.0267)	0.5898 (+0.0891)	0.4777 (+0.0223)
3.3950	16700	2.0213	2.0842	0.4778 (-0.0627)	0.3605 (+0.0354)	0.5656 (+0.0649)	0.4679 (+0.0126)
3.4153	16800	2.02	2.0842	0.4533 (-0.0871)	0.3663 (+0.0412)	0.5447 (+0.0440)	0.4548 (-0.0006)
3.4357	16900	2.0178	2.0859	0.4510 (-0.0894)	0.3620 (+0.0369)	0.5665 (+0.0658)	0.4598 (+0.0044)
3.4560	17000	2.0154	2.0849	0.4662 (-0.0742)	0.3673 (+0.0422)	0.5558 (+0.0552)	0.4631 (+0.0077)
3.4763	17100	2.0145	2.0842	0.4698 (-0.0706)	0.3511 (+0.0261)	0.5797 (+0.0790)	0.4669 (+0.0115)
3.4966	17200	2.019	2.0845	0.4305 (-0.1099)	0.3659 (+0.0409)	0.5614 (+0.0607)	0.4526 (-0.0028)
3.5170	17300	2.0151	2.0843	0.4671 (-0.0733)	0.3644 (+0.0394)	0.5810 (+0.0804)	0.4708 (+0.0155)
3.5373	17400	2.0131	2.0844	0.4711 (-0.0693)	0.3579 (+0.0329)	0.5760 (+0.0754)	0.4684 (+0.0130)
3.5576	17500	2.0145	2.0822	0.4687 (-0.0717)	0.3588 (+0.0338)	0.5853 (+0.0847)	0.4709 (+0.0156)
3.5780	17600	2.0184	2.0840	0.4723 (-0.0682)	0.3530 (+0.0279)	0.5898 (+0.0891)	0.4717 (+0.0163)
3.5983	17700	2.0219	2.0839	0.4657 (-0.0748)	0.3538 (+0.0288)	0.5897 (+0.0890)	0.4697 (+0.0144)
3.6186	17800	2.0186	2.0842	0.4466 (-0.0938)	0.3542 (+0.0292)	0.5779 (+0.0773)	0.4596 (+0.0042)
3.6390	17900	2.0097	2.0843	0.4828 (-0.0577)	0.3607 (+0.0357)	0.5720 (+0.0713)	0.4718 (+0.0164)
3.6593	18000	2.0208	2.0844	0.4724 (-0.0680)	0.3644 (+0.0394)	0.5634 (+0.0627)	0.4667 (+0.0114)
3.6796	18100	2.0254	2.0839	0.5004 (-0.0400)	0.3675 (+0.0425)	0.5854 (+0.0848)	0.4844 (+0.0291)
3.6999	18200	2.0205	2.0852	0.4712 (-0.0692)	0.3729 (+0.0479)	0.5775 (+0.0769)	0.4739 (+0.0185)
3.7203	18300	2.0213	2.0856	0.4849 (-0.0555)	0.3645 (+0.0395)	0.5771 (+0.0765)	0.4755 (+0.0201)
3.7406	18400	2.0321	2.0850	0.4516 (-0.0889)	0.3621 (+0.0371)	0.5578 (+0.0571)	0.4571 (+0.0018)
3.7609	18500	2.0256	2.0832	0.4442 (-0.0962)	0.3710 (+0.0460)	0.5593 (+0.0587)	0.4582 (+0.0028)
3.7813	18600	2.0178	2.0846	0.4536 (-0.0869)	0.3689 (+0.0439)	0.5854 (+0.0847)	0.4693 (+0.0139)
3.8016	18700	2.0156	2.0842	0.4469 (-0.0935)	0.3620 (+0.0370)	0.5622 (+0.0615)	0.4570 (+0.0017)
3.8219	18800	2.0202	2.0836	0.4712 (-0.0692)	0.3690 (+0.0439)	0.5732 (+0.0726)	0.4711 (+0.0158)
3.8422	18900	2.0157	2.0838	0.4609 (-0.0796)	0.3508 (+0.0258)	0.5849 (+0.0842)	0.4655 (+0.0101)
3.8626	19000	2.0139	2.0856	0.4356 (-0.1048)	0.3519 (+0.0269)	0.5631 (+0.0624)	0.4502 (-0.0052)
3.8829	19100	2.0227	2.0832	0.4603 (-0.0802)	0.3592 (+0.0342)	0.5955 (+0.0948)	0.4717 (+0.0163)
3.9032	19200	2.0184	2.0840	0.4684 (-0.0720)	0.3562 (+0.0312)	0.5860 (+0.0853)	0.4702 (+0.0148)
3.9236	19300	2.0271	2.0832	0.4545 (-0.0860)	0.3635 (+0.0385)	0.5709 (+0.0703)	0.4630 (+0.0076)
3.9439	19400	2.0283	2.0834	0.4524 (-0.0880)	0.3569 (+0.0318)	0.5711 (+0.0704)	0.4601 (+0.0047)
3.9642	19500	2.0148	2.0836	0.4536 (-0.0869)	0.3556 (+0.0306)	0.5735 (+0.0728)	0.4609 (+0.0055)
3.9845	19600	2.021	2.0841	0.4660 (-0.0744)	0.3563 (+0.0313)	0.5622 (+0.0615)	0.4615 (+0.0061)
4.0049	19700	2.0185	2.0835	0.4452 (-0.0952)	0.3613 (+0.0363)	0.5338 (+0.0332)	0.4468 (-0.0086)
4.0252	19800	2.005	2.0859	0.4500 (-0.0904)	0.3582 (+0.0332)	0.5490 (+0.0484)	0.4524 (-0.0029)
4.0455	19900	2.0078	2.0864	0.4131 (-0.1273)	0.3477 (+0.0227)	0.5343 (+0.0337)	0.4317 (-0.0237)
4.0659	20000	2.0096	2.0861	0.4120 (-0.1285)	0.3549 (+0.0299)	0.5329 (+0.0322)	0.4332 (-0.0221)
4.0862	20100	2.009	2.0875	0.4151 (-0.1253)	0.3475 (+0.0224)	0.5105 (+0.0098)	0.4243 (-0.0310)
4.1065	20200	2.0131	2.0869	0.4550 (-0.0854)	0.3499 (+0.0248)	0.5395 (+0.0389)	0.4481 (-0.0072)
4.1269	20300	2.0067	2.0873	0.4371 (-0.1033)	0.3471 (+0.0221)	0.5333 (+0.0326)	0.4392 (-0.0162)
4.1472	20400	2.0032	2.0883	0.4493 (-0.0912)	0.3542 (+0.0291)	0.5173 (+0.0167)	0.4403 (-0.0151)
4.1675	20500	2.0077	2.0889	0.4513 (-0.0892)	0.3424 (+0.0173)	0.5270 (+0.0263)	0.4402 (-0.0152)
4.1878	20600	2.0103	2.0865	0.4426 (-0.0978)	0.3388 (+0.0138)	0.5171 (+0.0164)	0.4328 (-0.0225)
4.2082	20700	2.0067	2.0872	0.4429 (-0.0976)	0.3445 (+0.0194)	0.4934 (-0.0073)	0.4269 (-0.0285)
4.2285	20800	2.0058	2.0877	0.4382 (-0.1022)	0.3469 (+0.0219)	0.5075 (+0.0069)	0.4309 (-0.0245)
4.2488	20900	2.0117	2.0884	0.4319 (-0.1085)	0.3432 (+0.0182)	0.5178 (+0.0172)	0.4310 (-0.0244)
4.2692	21000	2.0143	2.0872	0.4122 (-0.1282)	0.3396 (+0.0146)	0.5132 (+0.0126)	0.4217 (-0.0337)
4.2895	21100	2.0108	2.0875	0.4333 (-0.1071)	0.3484 (+0.0233)	0.5300 (+0.0293)	0.4372 (-0.0182)
4.3098	21200	2.0104	2.0879	0.4051 (-0.1353)	0.3561 (+0.0311)	0.5248 (+0.0242)	0.4287 (-0.0267)
4.3301	21300	2.0188	2.0871	0.4072 (-0.1332)	0.3533 (+0.0282)	0.5204 (+0.0198)	0.4270 (-0.0284)
4.3505	21400	2.0051	2.0878	0.4469 (-0.0935)	0.3536 (+0.0285)	0.5331 (+0.0324)	0.4445 (-0.0109)
4.3708	21500	2.0109	2.0873	0.4213 (-0.1191)	0.3501 (+0.0250)	0.5313 (+0.0306)	0.4342 (-0.0212)
4.3911	21600	2.006	2.0872	0.4388 (-0.1017)	0.3515 (+0.0265)	0.5109 (+0.0103)	0.4337 (-0.0216)
4.4115	21700	2.0123	2.0878	0.4168 (-0.1236)	0.3567 (+0.0316)	0.5057 (+0.0051)	0.4264 (-0.0290)
4.4318	21800	2.0092	2.0891	0.4030 (-0.1375)	0.3562 (+0.0312)	0.5083 (+0.0076)	0.4225 (-0.0329)
4.4521	21900	2.0045	2.0887	0.4159 (-0.1245)	0.3503 (+0.0253)	0.5123 (+0.0117)	0.4262 (-0.0292)
4.4725	22000	2.0178	2.0861	0.4375 (-0.1029)	0.3559 (+0.0308)	0.5314 (+0.0307)	0.4416 (-0.0138)
4.4928	22100	2.0145	2.0881	0.4408 (-0.0996)	0.3617 (+0.0366)	0.5040 (+0.0033)	0.4355 (-0.0199)
4.5131	22200	2.0025	2.0882	0.4291 (-0.1113)	0.3592 (+0.0341)	0.5233 (+0.0226)	0.4372 (-0.0182)
4.5334	22300	2.0113	2.0892	0.4253 (-0.1151)	0.3569 (+0.0318)	0.5032 (+0.0025)	0.4285 (-0.0269)
4.5538	22400	2.0167	2.0883	0.4236 (-0.1169)	0.3543 (+0.0292)	0.5218 (+0.0211)	0.4332 (-0.0222)
4.5741	22500	2.0103	2.0881	0.4151 (-0.1254)	0.3611 (+0.0360)	0.5097 (+0.0090)	0.4286 (-0.0268)
4.5944	22600	2.0072	2.0865	0.4143 (-0.1261)	0.3554 (+0.0304)	0.5245 (+0.0239)	0.4314 (-0.0240)
4.6148	22700	2.0001	2.0871	0.4091 (-0.1313)	0.3575 (+0.0325)	0.5231 (+0.0225)	0.4299 (-0.0254)
4.6351	22800	2.0078	2.0881	0.4099 (-0.1306)	0.3501 (+0.0250)	0.5151 (+0.0145)	0.4250 (-0.0303)
4.6554	22900	2.0003	2.0878	0.4104 (-0.1300)	0.3460 (+0.0210)	0.5290 (+0.0284)	0.4285 (-0.0269)
4.6757	23000	2.0152	2.0877	0.4269 (-0.1135)	0.3495 (+0.0245)	0.5259 (+0.0253)	0.4341 (-0.0212)
4.6961	23100	2.011	2.0881	0.4442 (-0.0962)	0.3516 (+0.0266)	0.5347 (+0.0341)	0.4435 (-0.0118)
4.7164	23200	2.0012	2.0884	0.4324 (-0.1081)	0.3498 (+0.0247)	0.5252 (+0.0245)	0.4358 (-0.0196)
4.7367	23300	2.0176	2.0876	0.4238 (-0.1166)	0.3510 (+0.0260)	0.5339 (+0.0333)	0.4363 (-0.0191)
4.7571	23400	2.0063	2.0884	0.4280 (-0.1125)	0.3546 (+0.0295)	0.5347 (+0.0341)	0.4391 (-0.0163)
4.7774	23500	2.0049	2.0884	0.4358 (-0.1047)	0.3497 (+0.0247)	0.5300 (+0.0293)	0.4385 (-0.0169)
4.7977	23600	2.0078	2.0873	0.4194 (-0.1211)	0.3508 (+0.0257)	0.5396 (+0.0390)	0.4366 (-0.0188)
4.8181	23700	2.0143	2.0875	0.4268 (-0.1137)	0.3568 (+0.0318)	0.5266 (+0.0260)	0.4367 (-0.0186)
4.8384	23800	2.0162	2.0872	0.4271 (-0.1133)	0.3525 (+0.0274)	0.5331 (+0.0325)	0.4376 (-0.0178)
4.8587	23900	2.0089	2.0879	0.4297 (-0.1107)	0.3512 (+0.0262)	0.5241 (+0.0235)	0.4350 (-0.0203)
4.8790	24000	1.9988	2.0879	0.4273 (-0.1131)	0.3481 (+0.0231)	0.5238 (+0.0231)	0.4331 (-0.0223)
4.8994	24100	2.0074	2.0881	0.4362 (-0.1042)	0.3519 (+0.0269)	0.5283 (+0.0276)	0.4388 (-0.0166)
4.9197	24200	2.0179	2.0878	0.4362 (-0.1042)	0.3473 (+0.0223)	0.5285 (+0.0279)	0.4373 (-0.0180)
4.9400	24300	2.0162	2.0874	0.4228 (-0.1176)	0.3495 (+0.0245)	0.5348 (+0.0341)	0.4357 (-0.0197)
4.9604	24400	1.9986	2.0874	0.4268 (-0.1136)	0.3493 (+0.0242)	0.5364 (+0.0358)	0.4375 (-0.0179)
4.9807	24500	2.0158	2.0874	0.4331 (-0.1074)	0.3515 (+0.0265)	0.5379 (+0.0373)	0.4408 (-0.0145)
-1	-1	-	-	0.6012 (+0.0607)	0.4065 (+0.0815)	0.7061 (+0.2055)	0.5713 (+0.1159)

• The bold row denotes the saved checkpoint.

Framework Versions

• Python: 3.10.18
• Sentence Transformers: 5.0.0
• Transformers: 4.56.0.dev0
• PyTorch: 2.7.1+cu126
• Accelerate: 1.9.0
• Datasets: 4.0.0
• Tokenizers: 0.21.4

Citation

BibTeX

Sentence Transformers

@inproceedings{reimers-2019-sentence-bert,
    title = "Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks",
    author = "Reimers, Nils and Gurevych, Iryna",
    booktitle = "Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing",
    month = "11",
    year = "2019",
    publisher = "Association for Computational Linguistics",
    url = "https://arxiv.org/abs/1908.10084",
}

ListNetLoss

@inproceedings{cao2007learning,
    title={Learning to Rank: From Pairwise Approach to Listwise Approach},
    author={Cao, Zhe and Qin, Tao and Liu, Tie-Yan and Tsai, Ming-Feng and Li, Hang},
    booktitle={Proceedings of the 24th international conference on Machine learning},
    pages={129--136},
    year={2007}
}