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Both Dimensionality Reduction (DR) and Graph Drawing (GD) aim to visualize abstract, non-linear structures, yet rely on different optimization paradigms. This contrast is evident in Multidimensional Scaling (MDS), which typically depends on…

Machine Learning · Computer Science 2026-05-04 Daniel Hangan , Stephen Kobourov , Jacob Miller

The plain stochastic gradient descent and momentum stochastic gradient descent have extremely wide applications in deep learning due to their simple settings and low computational complexity. The momentum stochastic gradient descent uses…

Machine Learning · Computer Science 2021-06-15 Kun Zeng , Jinlan Liu , Zhixia Jiang , Dongpo Xu

Zero-shot Chain-of-Thought (CoT) prompting emerges as a simple and effective strategy for enhancing the performance of large language models (LLMs) in real-world reasoning tasks. Nonetheless, the efficacy of a singular, task-level prompt…

Computation and Language · Computer Science 2024-11-01 Xiaosong Yuan , Chen Shen , Shaotian Yan , Xiaofeng Zhang , Liang Xie , Wenxiao Wang , Renchu Guan , Ying Wang , Jieping Ye

Large Language Models (LLMs) using Chain-of-Thought (CoT) prompting excel at complex reasoning but generate verbose thought processes with considerable redundancy, leading to increased inference costs and reduced efficiency. We introduce a…

Artificial Intelligence · Computer Science 2026-02-17 Zeju Li , Jianyuan Zhong , Ziyang Zheng , Xiangyu Wen , Zhijian Xu , Yingying Cheng , Fan Zhang , Qiang Xu

This article introduces a novel family of optimization algorithms - Anisotropic Gaussian Smoothing Gradient Descent (AGS-GD), AGS-Stochastic Gradient Descent (AGS-SGD), and AGS-Adam - that employ anisotropic Gaussian smoothing to enhance…

Optimization and Control · Mathematics 2024-11-19 Andrew Starnes , Guannan Zhang , Viktor Reshniak , Clayton Webster

Training large language models (LLMs) poses significant challenges regarding computational resources and memory capacity. Although distributed training techniques help mitigate these issues, they still suffer from considerable communication…

Recently, long-thought reasoning models achieve strong performance on complex reasoning tasks, but often incur substantial inference overhead, making efficiency a critical concern. Our empirical analysis reveals that the benefit of using…

Artificial Intelligence · Computer Science 2025-05-22 Haotian Luo , Haiying He , Yibo Wang , Jinluan Yang , Rui Liu , Naiqiang Tan , Xiaochun Cao , Dacheng Tao , Li Shen

Chain-of-Thought (CoT) reasoning successfully enhances the reasoning capabilities of Large Language Models (LLMs), yet it incurs substantial computational overhead for inference. Existing CoT compression methods often suffer from a critical…

Machine Learning · Computer Science 2026-05-26 Yuntian Tang , Bohan Jia , Wenxuan Huang , Lianyue Zhang , Jiao Xie , Wenxi Li , Wei Li , Jie Hu , Xinghao Chen Rongrong Ji , Shaohui Lin

Attention is sparse in vision transformers. We observe the final prediction in vision transformers is only based on a subset of most informative tokens, which is sufficient for accurate image recognition. Based on this observation, we…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Yongming Rao , Wenliang Zhao , Benlin Liu , Jiwen Lu , Jie Zhou , Cho-Jui Hsieh

Recent advances in Chain-of-Thought (CoT) reasoning have improved complex video understanding, but existing methods often struggle to adapt to domain-specific skills (e.g., event detection, spatial relation understanding, emotion…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Daeun Lee , Jaehong Yoon , Jaemin Cho , Mohit Bansal

Implicit Chain-of-Thought (CoT) methods offer a token-efficient alternative to explicit CoT reasoning in Large Language Models (LLMs), but a persistent performance gap has limited their adoption. We identify a core latent instability issue…

Computation and Language · Computer Science 2025-09-26 Xilin Wei , Xiaoran Liu , Yuhang Zang , Xiaoyi Dong , Yuhang Cao , Jiaqi Wang , Xipeng Qiu , Dahua Lin

While generative retrieval (GR) demonstrates competitive performance on standard retrieval benchmarks, existing approaches directly map queries to document identifiers (docids) without intermediate deliberation, limiting their effectiveness…

Information Retrieval · Computer Science 2026-05-22 Wenhao Zhang , Ruihao Yu , Yi Bai , Zhumin Chen , Pengjie Ren

Recent work has established an empirically successful framework for adapting learning rates for stochastic gradient descent (SGD). This effectively removes all needs for tuning, while automatically reducing learning rates over time on…

Machine Learning · Computer Science 2013-03-28 Tom Schaul , Yann LeCun

Long Chain-of-Thought (CoT) reasoning is pivotal for the success of recent reasoning models but suffers from high computational overhead and latency. While prior works attempt to compress CoT via external compressor, they often fail to…

Computation and Language · Computer Science 2026-04-21 Yangsong Lan , Hongliang Dai , Piji Li

Generative recommendation commonly adopts a two-stage pipeline in which a learnable tokenizer maps items to discrete token sequences (i.e. identifiers) and an autoregressive generative recommender model (GRM) performs prediction based on…

Information Retrieval · Computer Science 2026-04-01 Yuebo Feng , Jiahao Liu , Mingzhe Han , Dongsheng Li , Hansu Gu , Peng Zhang , Tun Lu , Ning Gu

Large reasoning models enhanced by reinforcement learning with verifiable rewards have achieved significant performance gains by extending their chain-of-thought. However, this paradigm incurs substantial deployment costs as models often…

Artificial Intelligence · Computer Science 2026-05-15 Wei Wu , Liyi Chen , Congxi Xiao , Tianfu Wang , Qimeng Wang , Chengqiang Lu , Yan Gao , Yi Wu , Yao Hu , Hui Xiong

Gradient descent (GD) and stochastic gradient descent (SGD) have been widely used in a large number of application domains. Therefore, understanding the dynamics of GD and improving its convergence speed is still of great importance. This…

Machine Learning · Computer Science 2024-09-11 Jinwei Zhao , Marco Gori , Alessandro Betti , Stefano Melacci , Hongtao Zhang , Jiedong Liu , Xinhong Hei

Multimodal reward models are crucial for aligning multimodal large language models with human preferences. Recent works have incorporated reasoning capabilities into these models, achieving promising results. However, training these models…

Artificial Intelligence · Computer Science 2026-02-03 Shidong Yang , Tongwen Huang , Hao Wen , Yong Wang , Li Chen , Xiangxiang Chu

The demand for edge AI in vision-language tasks requires models that achieve real-time performance on resource-constrained devices with limited power and memory. This paper proposes two adaptive compression techniques -- Sparse Temporal…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Md Tasnin Tanvir , Soumitra Das , Sk Md Abidar Rahaman , Ali Shiri Sichani

While LLMs demonstrate impressive reasoning capabilities, they remain fragile in multi-step logical deduction, where a single transition error can propagate through the entire reasoning chain, leading to unstable performance. In this work,…

Computation and Language · Computer Science 2026-04-23 Seunghyun Park , Yuanyuan Lei
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