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This research aims to unravel how large language models (LLMs) iteratively refine token predictions through internal processing. We utilized a logit lens technique to analyze the model's token predictions derived from intermediate…

计算与语言 · 计算机科学 2025-06-10 Jaturong Kongmanee

Coded computing is a distributed paradigm that uses coding theory to introduce \textit{redundancy} and overcome bottlenecks in large-scale systems. In the same vein, randomized numerical linear algebra employs probabilistic methods to…

分布式、并行与集群计算 · 计算机科学 2026-05-19 Neophytos Charalambides , Arya Mazumdar

From extracting features to generating text, the outputs of large language models (LLMs) typically rely on the final layers, following the conventional wisdom that earlier layers capture only low-level cues. However, our analysis shows that…

机器学习 · 计算机科学 2025-06-17 Oscar Skean , Md Rifat Arefin , Dan Zhao , Niket Patel , Jalal Naghiyev , Yann LeCun , Ravid Shwartz-Ziv

Decoding strategies for generative large language models (LLMs) are a critical but often underexplored aspect of text generation tasks. Guided by specific hyperparameters, these strategies aim to transform the raw probability distributions…

计算与语言 · 计算机科学 2024-12-17 Esteban Garces Arias , Meimingwei Li , Christian Heumann , Matthias Aßenmacher

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

信息论 · 计算机科学 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

Large language models (LLMs) often benefit from intermediate steps of reasoning to generate answers to complex problems. When these intermediate steps of reasoning are used to monitor the activity of the model, it is essential that this…

机器学习 · 计算机科学 2023-11-02 Fabien Roger , Ryan Greenblatt

Is perfect error correction always worth the trouble? A framework is presented for the analysis of error detection and correction in multi-level systems of communication that takes into account degrees of freedom attended and ignored by…

信息论 · 计算机科学 2020-01-15 Tom Sgouros

Advances in large language models (LLMs) have spurred research into enhancing their reasoning capabilities, particularly in math-rich STEM (Science, Technology, Engineering, and Mathematics) documents. While LLMs can generate equations or…

计算与语言 · 计算机科学 2025-06-03 Jiaru Zou , Qing Wang , Pratyush Thakur , Nickvash Kani

In this paper, we present a coded computation (CC) scheme for distributed computation of the inference phase of machine learning (ML) tasks, specifically, the task of image classification. Building upon Agrawal et al.~2022, the proposed…

分布式、并行与集群计算 · 计算机科学 2023-07-12 Jiepeng Tang , Navneet Agrawal , Slawomir Stanczak , Jingge Zhu

It is a well-known result that bilevel linear optimization is NP-hard. In many publications, reformulations as mixed-integer linear optimization problems are proposed, which suggests that the decision version of the problem belongs to NP.…

最优化与控制 · 数学 2025-12-19 Christoph Buchheim

Large language models (LLMs) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems. We provide a…

数值分析 · 数学 2026-02-02 Ricardo Baptista , Andrew Stuart , Son Tran

Neural machine translation (NMT) systems typically employ maximum a posteriori (MAP) decoding to select the highest-scoring translation from the distribution mass. However, recent evidence highlights the inadequacy of MAP decoding, often…

计算与语言 · 计算机科学 2025-06-06 Di Wu , Yibin Lei , Christof Monz

Distilling knowledge from a well-trained cumbersome network to a small one has recently become a new research topic, as lightweight neural networks with high performance are particularly in need in various resource-restricted systems. This…

计算与语言 · 计算机科学 2016-07-26 Lili Mou , Ran Jia , Yan Xu , Ge Li , Lu Zhang , Zhi Jin

Speculative Decoding is a widely used technique to speed up inference for Large Language Models (LLMs) without sacrificing quality. When performing inference, speculative decoding uses a smaller draft model to generate speculative tokens…

机器学习 · 计算机科学 2025-02-06 Minghao Yan , Saurabh Agarwal , Shivaram Venkataraman

Consensus clustering fuses diverse basic partitions (i.e., clustering results obtained from conventional clustering methods) into an integrated one, which has attracted increasing attention in both academic and industrial areas due to its…

机器学习 · 计算机科学 2019-06-04 Hongfu Liu , Zhiqiang Tao , Zhengming Ding

Probabilistic Component Latent Analysis (PLCA) is a statistical modeling method for feature extraction from non-negative data. It has been fruitfully applied to various research fields of information retrieval. However, the EM-solved…

统计方法学 · 统计学 2017-03-16 D. Cazau , G. Nuel

Large language models have shown impressive capabilities across a variety of NLP tasks, yet their generating text autoregressively is time-consuming. One way to speed them up is speculative decoding, which generates candidate segments (a…

计算与语言 · 计算机科学 2024-01-15 Sen Yang , Shujian Huang , Xinyu Dai , Jiajun Chen

We investigate optimal encoding and retrieval of digital data, when the storage/communication medium is described by quantum mechanics. We assume an m-ary alphabet with arbitrary prior distribution, and an n-dimensional quantum system.…

量子物理 · 物理学 2007-05-23 Noam Elron , Yonina C. Eldar

We analyse two translations from the synchronous into the asynchronous $\pi$-calculus, both without choice, that are often quoted as standard examples of valid encodings, showing that the asynchronous $\pi$-calculus is just as expressive as…

计算机科学中的逻辑 · 计算机科学 2025-02-14 Rob van Glabbeek , Ursula Goltz , Christopher Lippert , Stephan Mennicke

While every network node only relays messages in a traditional communication system, the recent network coding (NC) paradigm proposes to implement simple in-network processing with packet combinations in the nodes. NC extends the concept of…

多媒体 · 计算机科学 2016-11-15 Enrico Magli , Mea Wang , Pascal Frossard , Athina Markopoulou