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The evolving sophistication and intricacies of Large Language Models (LLMs) yield unprecedented advancements, yet they simultaneously demand considerable computational resources and incur significant costs. To alleviate these challenges,…

Computation and Language · Computer Science 2023-10-03 Hongye Jin , Xiaotian Han , Jingfeng Yang , Zhimeng Jiang , Chia-Yuan Chang , Xia Hu

The ability of many powerful machine learning algorithms to deal with large data sets without compromise is often hampered by computationally expensive linear algebra tasks, of which calculating the log determinant is a canonical example.…

Machine Learning · Statistics 2017-09-11 Diego Granziol , Stephen Roberts

LLMs have traditionally scaled along dense dimensions, where performance is coupled with near-linear increases in computational cost. While MoE decouples capacity from compute, it introduces large memory overhead and hardware efficiency…

Machine Learning · Computer Science 2026-02-03 Yebin Yang , Huaijin Wu , Fu Guo , Lin Yao , Xiaohan Qin , Jingzhi Wang , Debing Zhang , Junchi Yan

We explore a method of statistical estimation called Maximum Entropy on the Mean (MEM) which is based on an information-driven criterion that quantifies the compliance of a given point with a reference prior probability measure. At the core…

Statistics Theory · Mathematics 2022-12-20 Yakov Vaisbourd , Rustum Choksi , Ariel Goodwin , Tim Hoheisel , Carola-Bibiane Schönlieb

Moore Law states that transistor density will double every two years, which is sustained until today due to continuous multi-directional innovations, such as extreme ultraviolet lithography, novel patterning techniques etc., leading the…

Signal Processing · Electrical Eng. & Systems 2023-12-18 Bappaditya Dey , Anh Tuan Ngo , Sara Sacchi , Victor Blanco , Philippe Leray , Sandip Halder

Transformers, the backbone of modern large language models (LLMs), face inherent architectural limitations that impede their reasoning capabilities. Unlike recurrent networks, Transformers lack recurrent connections, confining them to…

Computation and Language · Computer Science 2024-10-30 Xiang Zhang , Juntai Cao , Chenyu You

Large language models (LLMs) have achieved notable progress. Despite their success, next-token prediction (NTP), the dominant method for LLM training and inference, is constrained in both contextual coverage and inference efficiency due to…

Computation and Language · Computer Science 2025-09-23 Xiaohao Liu , Xiaobo Xia , Weixiang Zhao , Manyi Zhang , Xianzhi Yu , Xiu Su , Shuo Yang , See-Kiong Ng , Tat-Seng Chua

Without positional information, attention-based Transformer neural networks are permutation-invariant. Absolute or relative positional embeddings are the most popular ways to feed Transformer models with positional information. Absolute…

Machine Learning · Computer Science 2021-11-10 Tatiana Likhomanenko , Qiantong Xu , Gabriel Synnaeve , Ronan Collobert , Alex Rogozhnikov

Hyperparameter transfer allows extrapolating optimal optimization hyperparameters from small to large scales, making it critical for training large language models (LLMs). This is done either by fitting a scaling law to the hyperparameters…

Machine Learning · Computer Science 2026-05-21 Dayal Singh Kalra , Maissam Barkeshli

The computational cost of training multimodal large language models (MLLMs) grows rapidly with the number of processed tokens. Existing efficiency methods mainly target inference via token reduction or merging, offering limited benefits…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Chaoyu Li , Yogesh Kulkarni , Pooyan Fazli

The Transformer and its variants have been proven to be efficient sequence learners in many different domains. Despite their staggering success, a critical issue has been the enormous number of parameters that must be trained (ranging from…

Machine Learning · Computer Science 2021-10-28 Subhabrata Dutta , Tanya Gautam , Soumen Chakrabarti , Tanmoy Chakraborty

Accurate antenna affiliation identification is crucial for optimizing and maintaining communication networks. Current practice, however, relies on the cumbersome and error-prone process of manual tower inspections. We propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Dong Chen , Ruoyu Li , Xinyan Zhang , Jialei Xu , Ruosen Zhao , Zhikang Zhang , Lingyun Li , Zizhuang Wei

We study Transformers on the task \emph{program trace generation} (PTG), where models produce step-by-step execution traces for synthetic programs. Unlike existing algorithmic problems, PTG externalizes reasoning through long traces where…

Computation and Language · Computer Science 2025-09-30 Simeng Sun

The paper proposes a new message passing algorithm for cycle-free factor graphs. The proposed "entropy message passing" (EMP) algorithm may be viewed as sum-product message passing over the entropy semiring, which has previously appeared in…

Machine Learning · Computer Science 2016-11-18 Velimir M. Ilic , Miomir S. Stankovic , Branimir T. Todorovic

Autoregressive (AR) architectures have achieved significant successes in LLMs, inspiring explorations for video generation. In LLMs, top-p/top-k sampling strategies work exceptionally well: language tokens have high semantic density and low…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Yizhao Han , Tianxing Shi , Zhao Wang , Zifan Xu , Zhiyuan Pu , Mingxiao Li , Qian Zhang , Wei Yin , Xiao-Xiao Long

A power-free language is characterized by the number of symbols used and a limit on how many times a block of symbols can repeat consecutively. For certain values of these parameters, it is known that the number of legal words grows…

Dynamical Systems · Mathematics 2025-07-28 Vaughn Climenhaga

The inference of large language models imposes significant computational workloads, often requiring the processing of billions of parameters. Although early-exit strategies have proven effective in reducing computational demands by halting…

Computation and Language · Computer Science 2026-01-08 Sangmin Yoo , Srikanth Malla , Chiho Choi , Wei D. Lu , Joon Hee Choi

The Maximum Entropy Reinforcement Learning (MaxEnt RL) framework is a leading approach for achieving efficient learning and robust performance across many RL tasks. However, MaxEnt methods have also been shown to struggle with…

Machine Learning · Computer Science 2025-06-13 Ruipeng Zhang , Ya-Chien Chang , Sicun Gao

In this paper, we demonstrate how the physics of entropy production, when combined with symmetry constraints, can be used for implementing high-performance and energy-efficient analog computing systems. At the core of the proposed framework…

Neural and Evolutionary Computing · Computer Science 2025-10-30 Aswin Undavalli , Kareem Rashed , Zhili Xiao , Arun Natarajan , Shantanu Chakrabartty , Aravind Nagulu

We report on an improvement to the implementation of the Maximum Entropy Method (MEM). It amounts to departing from the search space obtained through a singular value decomposition (SVD) of the Kernel. Based on the shape of the SVD basis…

Computational Physics · Physics 2015-03-20 Alexander Rothkopf