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This is a sentence-transformers model finetuned from BAAI/bge-base-en-v1.5 on the json dataset. It maps sentences & paragraphs to a 768-dimensional dense vector space and can be used for semantic textual similarity, semantic search, paraphrase mining, text classification, clustering, and more.
SentenceTransformer(
(0): Transformer({'max_seq_length': 512, 'do_lower_case': True}) with Transformer model: BertModel
(1): Pooling({'word_embedding_dimension': 768, 'pooling_mode_cls_token': True, 'pooling_mode_mean_tokens': False, 'pooling_mode_max_tokens': False, 'pooling_mode_mean_sqrt_len_tokens': False, 'pooling_mode_weightedmean_tokens': False, 'pooling_mode_lasttoken': False, 'include_prompt': True})
(2): Normalize()
)
First install the Sentence Transformers library:
pip install -U sentence-transformers
Then you can load this model and run inference.
from sentence_transformers import SentenceTransformer
# Download from the 🤗 Hub
model = SentenceTransformer("bbmb/deep-learning-for-embedding-model-ssilwal-qpham6")
# Run inference
sentences = [
"9. Area\n\nEquation 9.35 calculates the area, ( A ), bounded by ( x = a ), ( x = b ), ( f_1(x) ) above, and ( f_2(x) ) below. (Note: ( f_2(x) = 0 ) if the area is bounded by the x-axis.) This is illustrated in Fig. 9.1. [ A = \\int_{a}^{b} \\left( f_{1}(x) - f_{2}(x) \\right) \\, dx \\qquad \\qquad (9.35) ] Figure 9.1 Area Between Two Curves\n\nDescription: The image shows a graph with two curves labeled f1(x) and f2(x). The graph is plotted on a Cartesian coordinate system with an x-axis and a y-axis. There are two vertical dashed lines intersecting the x-axis at points labeled 'a' and 'b'. The curve f1(x) is above the line y = 0 and the curve f2(x) is below the line y = 0. The area between the two curves from x = a to x = b is shaded, indicating a region of interest or calculation.\n\nThe LaTeX representation of the curves is not provided in the image, so I cannot write them in LaTeX form. However, if the curves were described by functions, they could be represented as follows:\n\nf1(x) could be represented as ( f_1(x) = ax^2 + bx + c ) for some constants a, b, and c.\n\nf2(x) could be represented as ( f_2(x) = -ax^2 - bx - c ) for some constants a, b, and c.\n\nThe area between the curves from x = a to x = b could be calculated using the integral of the difference between the two functions over the interval [a, b].\n\nDescription: The image provided is not clear enough to describe in detail or to extract any formulas. The text is not legible, and no other discernible features can be identified.\n\nFind the area between the x-axis and the parabola ( y = x^2 ) in the interval ([0, 4]).\n\nDescription: The image shows a graph with a curve that represents a function y = x^2. There is a vertical dashed line at x = 4, indicating a point of interest or a specific value on the x-axis. The graph is plotted on a Cartesian coordinate system with the x-axis labeled 'x' and the y-axis labeled 'y'. The curve is a parabola that opens upwards, showing that as x increases, y increases at an increasing rate. The point where x = 4 is marked on the x-axis, and the corresponding y-value on the curve is not explicitly shown but can be inferred from the equation y = x^2.\n\nSolution: Referring to Eq. 9.35, [ f_{1}(x) = x^{2} \\quad \\text{and} \\quad f_{2}(x) = 0 ] Thus, [ A = \\int_{a}^{b} \\left( f_1(x) - f_2(x) \\right) dx = \\int_{0}^{4} x^2 \\, dx = \\left[ \\frac{x^3}{3} \\right]_{0}^{4} = \\frac{64}{3} ] ...\n\n10. Arc Length",
'Can you show me how to find the area using the integral of the difference of two functions?',
'What is the minimum requirement for steel area in slab reinforcement according to ACI guidelines?',
]
embeddings = model.encode(sentences)
print(embeddings.shape)
# [3, 768]
# Get the similarity scores for the embeddings
similarities = model.similarity(embeddings, embeddings)
print(similarities.shape)
# [3, 3]
dim_768
,
dim_512
,
dim_256
,
dim_128
and
dim_64
InformationRetrievalEvaluator
| Metric | dim_768 | dim_512 | dim_256 | dim_128 | dim_64 |
|---|---|---|---|---|---|
| cosine_accuracy@1 | 0.2544 | 0.2632 | 0.2602 | 0.2135 | 0.1871 |
| cosine_accuracy@3 | 0.5789 | 0.576 | 0.5526 | 0.5117 | 0.4708 |
| cosine_accuracy@5 | 0.7018 | 0.6959 | 0.6754 | 0.6404 | 0.5789 |
| cosine_accuracy@10 | 0.7982 | 0.7836 | 0.7573 | 0.7368 | 0.6696 |
| cosine_precision@1 | 0.2544 | 0.2632 | 0.2602 | 0.2135 | 0.1871 |
| cosine_precision@3 | 0.193 | 0.192 | 0.1842 | 0.1706 | 0.1569 |
| cosine_precision@5 | 0.1404 | 0.1392 | 0.1351 | 0.1281 | 0.1158 |
| cosine_precision@10 | 0.0798 | 0.0784 | 0.0757 | 0.0737 | 0.067 |
| cosine_recall@1 | 0.2544 | 0.2632 | 0.2602 | 0.2135 | 0.1871 |
| cosine_recall@3 | 0.5789 | 0.576 | 0.5526 | 0.5117 | 0.4708 |
| cosine_recall@5 | 0.7018 | 0.6959 | 0.6754 | 0.6404 | 0.5789 |
| cosine_recall@10 | 0.7982 | 0.7836 | 0.7573 | 0.7368 | 0.6696 |
| cosine_ndcg@10 | 0.5289 | 0.5254 | 0.5083 | 0.4727 | 0.4245 |
| cosine_mrr@10 | 0.4423 | 0.4422 | 0.4281 | 0.388 | 0.3462 |
| cosine_map@100 | 0.4507 | 0.4508 | 0.4373 | 0.397 | 0.3563 |
positive
and
anchor
| positive | anchor | |
|---|---|---|
| type | string | string |
| details |
|
|
| positive | anchor |
|---|---|
The PHF is used to convert hourly volumes to flow rates and represents the hourly variation in traffic flow. If the demand volume is measured in 15 min increments, it is unnecessary to use the PHF to convert to flow rates.
|
What is the formula for estimating the percent time spent following on highways?
|
However, if the initial point on the limb is close to the critical point (i.e., the nose of the curve), then a small change in the specific energy (such as might be caused by a small variation in the channel floor) will cause a large change in depth. That is why severe turbulence commonly occurs near points of critical flow. Given that ( 4 , \text{ft/sec} ) (or ( 1.2 , \text{m/s} )) of water flows in a ( 7 , \text{ft} ) (or ( 2.1 , \text{m} )) wide, ( 6 , \text{ft} ) (or ( 1.8 , \text{m} )) deep open channel, the flow encounters a ( 1.0 , \text{ft} ) (or ( 0.3 , \text{m} )) step in the channel bottom. What is the depth of flow above the step? Actually, specific energy curves are typically plotted for flow per unit width, ( q = \frac{Q}{w} ). If that is the case, a jump from one limb to the other could take place if the width were allowed to change as well as the depth. A rise in the channel bottom does not always produce a drop in the water surface. Only if the flow is initiall...
|
What happens to the water depth when it encounters a step in a channel?
|
The shear strength, ( S ) or ( S_{ys} ), of a material is the maximum shear stress that the material can support without yielding in shear. (The ultimate shear strength, ( S_{us} ), is rarely encountered.) For ductile materials, maximum shear stress theory predicts the shear strength as one-half of the tensile yield strength. A more accurate relationship is derived from the distortion energy theory (also known as von Mises theory).
|
Can you explain what maximum shear stress theory is?
|
MatryoshkaLoss
with these parameters:
{
"loss": "MultipleNegativesRankingLoss",
"matryoshka_dims": [
768,
512,
256,
128,
64
],
"matryoshka_weights": [
1,
1,
1,
1,
1
],
"n_dims_per_step": -1
}
eval_strategy
: epoch
per_device_train_batch_size
: 32
per_device_eval_batch_size
: 16
gradient_accumulation_steps
: 16
learning_rate
: 2e-05
num_train_epochs
: 4
lr_scheduler_type
: cosine
warmup_ratio
: 0.1
bf16
: True
tf32
: True
load_best_model_at_end
: True
optim
: adamw_torch_fused
batch_sampler
: no_duplicates
overwrite_output_dir
: False
do_predict
: False
eval_strategy
: epoch
prediction_loss_only
: True
per_device_train_batch_size
: 32
per_device_eval_batch_size
: 16
per_gpu_train_batch_size
: None
per_gpu_eval_batch_size
: None
gradient_accumulation_steps
: 16
eval_accumulation_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
: 4
max_steps
: -1
lr_scheduler_type
: cosine
lr_scheduler_kwargs
: {}
warmup_ratio
: 0.1
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
: 42
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
: True
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_fused
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
: False
hub_always_push
: False
gradient_checkpointing
: False
gradient_checkpointing_kwargs
: None
include_inputs_for_metrics
: False
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
dispatch_batches
: None
split_batches
: None
include_tokens_per_second
: False
include_num_input_tokens_seen
: False
neftune_noise_alpha
: None
optim_target_modules
: None
batch_eval_metrics
: False
prompts
: None
batch_sampler
: no_duplicates
multi_dataset_batch_sampler
: proportional
| Epoch | Step | Training Loss | dim_768_cosine_ndcg@10 | dim_512_cosine_ndcg@10 | dim_256_cosine_ndcg@10 | dim_128_cosine_ndcg@10 | dim_64_cosine_ndcg@10 |
|---|---|---|---|---|---|---|---|
| 0.9897 | 6 | - | 0.5417 | 0.5428 | 0.5145 | 0.4630 | 0.3945 |
| 1.6495 | 10 | 3.7867 | - | - | - | - | - |
| 1.9794 | 12 | - | 0.5269 | 0.5206 | 0.4992 | 0.4751 | 0.4082 |
| 2.9691 | 18 | - | 0.5298 | 0.5238 | 0.5107 | 0.4761 | 0.4268 |
| 3.2990 | 20 | 1.9199 | - | - | - | - | - |
| 3.9588 | 24 | - | 0.5289 | 0.5254 | 0.5083 | 0.4727 | 0.4245 |
@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",
}
@misc{kusupati2024matryoshka,
title={Matryoshka Representation Learning},
author={Aditya Kusupati and Gantavya Bhatt and Aniket Rege and Matthew Wallingford and Aditya Sinha and Vivek Ramanujan and William Howard-Snyder and Kaifeng Chen and Sham Kakade and Prateek Jain and Ali Farhadi},
year={2024},
eprint={2205.13147},
archivePrefix={arXiv},
primaryClass={cs.LG}
}
@misc{henderson2017efficient,
title={Efficient Natural Language Response Suggestion for Smart Reply},
author={Matthew Henderson and Rami Al-Rfou and Brian Strope and Yun-hsuan Sung and Laszlo Lukacs and Ruiqi Guo and Sanjiv Kumar and Balint Miklos and Ray Kurzweil},
year={2017},
eprint={1705.00652},
archivePrefix={arXiv},
primaryClass={cs.CL}
}
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