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We find that the cross-entropy loss curves of neural language models empirically adhere to a scaling law with learning rate (LR) annealing over training steps: $$L(s) = L_0 + A\cdot S_1^{-\alpha} - C\cdot S_2,$$ where $L(s)$ is the…

Computation and Language · Computer Science 2024-10-28 Howe Tissue , Venus Wang , Lu Wang

Accurate molecular property prediction is a critical challenge with wide-ranging applications in chemistry, materials science, and drug discovery. Molecular representation methods, including fingerprints and graph neural networks (GNNs),…

Machine Learning · Computer Science 2025-08-13 Jiaxin Ju , Yizhen Zheng , Huan Yee Koh , Can Wang , Shirui Pan

When data is plentiful, the loss achieved by well-trained neural networks scales as a power-law $L \propto N^{-\alpha}$ in the number of network parameters $N$. This empirical scaling law holds for a wide variety of data modalities, and may…

Machine Learning · Computer Science 2020-04-24 Utkarsh Sharma , Jared Kaplan

Current multimodal language model (MLM) training approaches overlook the influence of instruction templates. Previous research deals with this problem by leveraging hand-crafted or model-generated templates, failing to investigate the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Shijian Wang , Linxin Song , Jieyu Zhang , Ryotaro Shimizu , Jiarui Jin , Ao Luo , Yuan Lu , Li Yao , Cunjian Chen , Julian McAuley , Wentao Zhang , Hanqian Wu

Deep neural networks trained end-to-end to map a measurement of a (noisy) image to a clean image perform excellent for a variety of linear inverse problems. Current methods are only trained on a few hundreds or thousands of images as…

Image and Video Processing · Electrical Eng. & Systems 2023-02-24 Tobit Klug , Reinhard Heckel

The remarkable success of Large Language Models (LLMs) across diverse tasks has driven the research community to extend their capabilities to molecular applications. However, most molecular LLMs employ adapter-based architectures that do…

Computation and Language · Computer Science 2025-06-24 Shuhan Guo , Yatao Bian , Ruibing Wang , Nan Yin , Zhen Wang , Quanming Yao

We develop task scaling laws and model ladders to predict the individual task performance of pretrained language models (LMs) in the overtrained setting. Standard power laws for language modeling loss cannot accurately model task…

The foundational pretraining phase determines a model's capability ceiling, as post-training struggles to overcome capability foundations established during pretraining, yet it remains critically under-explored. This stems from a structural…

Artificial Intelligence · Computer Science 2026-03-31 Yiwei Qin , Yixiu Liu , Tiantian Mi , Muhang Xie , Zhen Huang , Weiye Si , Pengrui Lu , Siyuan Feng , Xia Wu , Liming Liu , Ye Luo , Jinlong Hou , Qipeng Guo , Yu Qiao , Pengfei Liu

Recent studies have demonstrated that the performance of transformers on the task of language modeling obeys a power-law relationship with model size over six orders of magnitude. While transformers exhibit impressive scaling, their…

Machine Learning · Computer Science 2021-10-07 Narsimha Chilkuri , Eric Hunsberger , Aaron Voelker , Gurshaant Malik , Chris Eliasmith

The escalating demand for efficient decoding in large language models (LLMs) is particularly critical for reasoning-intensive architectures like OpenAI-o3 and DeepSeek-R1, which depend on extended chain-of-thought reasoning. This study…

Computation and Language · Computer Science 2025-05-14 Siyuan Yan , Mo Zhu , Guo-qing Jiang , Jianfei Wang , Jiaxing Chen , Wentai Zhang , Xiang Liao , Xiao Cui , Chen Zhang , Zhuoran Song , Ran Zhu

Pretraining data of large language models composes multiple domains (e.g., web texts, academic papers, codes), whose mixture proportions crucially impact the competence of outcome models. While existing endeavors rely on heuristics or…

Computation and Language · Computer Science 2025-03-21 Jiasheng Ye , Peiju Liu , Tianxiang Sun , Jun Zhan , Yunhua Zhou , Xipeng Qiu

Continual Pre-Training (CPT) has become a popular and effective method to apply strong foundation models to specific downstream tasks. In this work, we explore the learning dynamics throughout the CPT process for large language models. We…

Computation and Language · Computer Science 2025-06-23 Xingjin Wang , Howe Tissue , Lu Wang , Linjing Li , Daniel Dajun Zeng

Recently observed empirical scaling laws describe the performance of foundation-type models as three independent key quantities -- dataset size, compute, and model parameters -- are modified. Extracting these scaling laws informs the…

High Energy Physics - Phenomenology · Physics 2026-05-29 Oz Amram , Darius A. Faroughy , Tjarko Gerdes , Anna Hallin , Gregor Kasieczka , Michael Krämer , Humberto Reyes-Gonzalez , David Shih

We introduce a scheme for molecular simulations, the Deep Potential Molecular Dynamics (DeePMD) method, based on a many-body potential and interatomic forces generated by a carefully crafted deep neural network trained with ab initio data.…

Computational Physics · Physics 2018-04-11 Linfeng Zhang , Jiequn Han , Han Wang , Roberto Car , Weinan E

It is commonly believed that scaling language models should commit a significant space or time cost, by increasing the parameters (parameter scaling) or output tokens (inference-time scaling). We introduce the third and more…

Machine Learning · Computer Science 2025-05-16 Mouxiang Chen , Binyuan Hui , Zeyu Cui , Jiaxi Yang , Dayiheng Liu , Jianling Sun , Junyang Lin , Zhongxin Liu

Recently deep learning based quantitative structure-activity relationship (QSAR) models has shown surpassing performance than traditional methods for property prediction tasks in drug discovery. However, most DL based QSAR models are…

Biomolecules · Quantitative Biology 2023-04-25 Zhifeng Gao , Xiaohong Ji , Guojiang Zhao , Hongshuai Wang , Hang Zheng , Guolin Ke , Linfeng Zhang

In this work, we provide a large-scale empirical study of the scaling properties of multilingual neural machine translation models. We examine how increases in the model size affect the model performance and investigate the role of the…

Computation and Language · Computer Science 2023-02-21 Patrick Fernandes , Behrooz Ghorbani , Xavier Garcia , Markus Freitag , Orhan Firat

With the development of foundational models, model compression has become a critical requirement. Various model compression approaches have been proposed such as low-rank decomposition, pruning, quantization, ergodic dynamic systems, and…

Machine Learning · Computer Science 2026-04-01 Jing-Xiao Liao , Haoran Wang , Tao Li , Daoming Lyu , Yi Zhang , Chengjun Cai , Feng-Lei Fan

This work studies the general principles of improving the learning of language models (LMs), which aims at reducing the necessary training steps for achieving superior performance. Specifically, we present a theory for the optimal learning…

Computation and Language · Computer Science 2024-03-05 Yuxian Gu , Li Dong , Yaru Hao , Qingxiu Dong , Minlie Huang , Furu Wei

Large-scale vision-language pre-trained models have shown promising transferability to various downstream tasks. As the size of these foundation models and the number of downstream tasks grow, the standard full fine-tuning paradigm becomes…

Computer Vision and Pattern Recognition · Computer Science 2023-05-23 Haoyu Lu , Yuqi Huo , Guoxing Yang , Zhiwu Lu , Wei Zhan , Masayoshi Tomizuka , Mingyu Ding
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