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Speculative decoding accelerates LLM inference by using a draft model to look ahead, but gains are capped by the cost of autoregressive draft generation: increasing draft size elevates acceptance rates but introduces additional latency…

Computation and Language · Computer Science 2025-12-15 Nikhil Bhendawade , Kumari Nishu , Arnav Kundu , Chris Bartels , Minsik Cho , Irina Belousova

As models for nature language processing (NLP), computer vision (CV) and recommendation systems (RS) require surging computation, a large number of GPUs/TPUs are paralleled as a large batch (LB) to improve training throughput. However,…

Machine Learning · Computer Science 2023-09-26 Guo-qing Jiang , Jinlong Liu , Zixiang Ding , Lin Guo , Wei Lin

We introduce OpenRAND, a C++17 library aimed at facilitating reproducible scientific research through the generation of statistically robust and yet replicable random numbers. OpenRAND accommodates single and multi-threaded applications on…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-01 Shihab Shahriar Khan , Bryce Palmer , Christopher Edelmaierd , Hasan Metin Aktulga

Stochastic Gradient Langevin Dynamics (SGLD) is a sampling scheme for Bayesian modeling adapted to large datasets and models. SGLD relies on the injection of Gaussian Noise at each step of a Stochastic Gradient Descent (SGD) update. In this…

Machine Learning · Computer Science 2018-06-11 Henri Palacci , Henry Hess

A primary source of increased read time on NAND flash comes from the fact that in the presence of noise, the flash medium must be read several times using different read threshold voltages for the decoder to succeed. This paper proposes an…

Information Theory · Computer Science 2022-02-14 Borja Peleato , Rajiv Agarwal , John Cioffi , Minghai Qin , Paul H. Siegel

Many problems encountered in science and engineering can be formulated as estimating a low-rank object (e.g., matrices and tensors) from incomplete, and possibly corrupted, linear measurements. Through the lens of matrix and tensor…

Machine Learning · Computer Science 2023-10-11 Cong Ma , Xingyu Xu , Tian Tong , Yuejie Chi

Large Language Models (LLMs) have become an indispensable part of natural language processing tasks. However, autoregressive sampling has become an efficiency bottleneck. Multi-Draft Speculative Decoding (MDSD) is a recent approach where,…

Computation and Language · Computer Science 2025-02-27 Zhengmian Hu , Tong Zheng , Vignesh Viswanathan , Ziyi Chen , Ryan A. Rossi , Yihan Wu , Dinesh Manocha , Heng Huang

We introduce and analyze a discrete soft-decision channel called the linear reliability channel (LRC) in which the soft information is the rank ordering of the received symbol reliabilities. We prove that the LRC is an appropriate…

Information Theory · Computer Science 2025-09-11 Alexander Mariona , Ken R. Duffy , Muriel Médard

We introduce a sliding window decoder based on belief propagation (BP) with guided decimation for the purposes of decoding quantum low-density parity-check codes in the presence of circuit-level noise. Windowed decoding keeps the decoding…

Quantum Physics · Physics 2024-03-29 Anqi Gong , Sebastian Cammerer , Joseph M. Renes

The performance of maximum-likelihood (ML) decoding on the binary erasure channel for finite-length low-density parity-check (LDPC) codes from two random ensembles is studied. The theoretical average spectrum of the Gallager ensemble is…

Information Theory · Computer Science 2018-11-21 Irina E. Bocharova , Boris D. Kudryashov , Vitaly Skachek , Eirik Rosnes , Øyvind Ytrehus

Gradient clipping is a widely used technique in Machine Learning and Deep Learning (DL), known for its effectiveness in mitigating the impact of heavy-tailed noise, which frequently arises in the training of large language models.…

Optimization and Control · Mathematics 2025-09-30 Savelii Chezhegov , Aleksandr Beznosikov , Samuel Horváth , Eduard Gorbunov

Learning on text-attributed graphs has motivated the use of Large Language Models (LLMs) for graph learning. However, most fusion strategies are applied uniformly across all nodes and attain only small overall performance gains. We argue…

Machine Learning · Computer Science 2025-10-14 Donald Loveland , Yao-An Yang , Danai Koutra

In this paper, we propose a quantum-native formulation of maximum likelihood detection (MLD) for overloaded multiple-input multiple-output (MIMO) systems in a random access channel, where numerous user terminals share the same channel…

Signal Processing · Electrical Eng. & Systems 2026-05-20 Hyoga Iizumi , Naoki Ishikawa , Shunsuke Uehashi , Kota Nakamura , Shusaku Umeda , Toshiaki Koike-Akino

In this paper, we propose a systematic low density generator matrix (LDGM) code ensemble, which is defined by the Bernoulli process. We prove that, under maximum likelihood (ML) decoding, the proposed ensemble can achieve the capacity of…

Information Theory · Computer Science 2020-01-10 Suihua Cai , Wenchao Lin , Xinyuanmeng Yao , Baodian Wei , Xiao Ma

Naive joint training of large language models (LLMs) for multilingual preference alignment can suffer from negative interference. This is a known issue in multilingual training, where conflicting objectives degrade overall performance.…

Computation and Language · Computer Science 2025-11-12 Jiangnan Li , Thuy-Trang Vu , Christian Herold , Amirhossein Tebbifakhr , Shahram Khadivi , Gholamreza Haffari

Quantum error correction is the building block for constructing fault-tolerant quantum processors that can operate reliably even if its constituting elements are corrupted by decoherence. In this context, real-time decoding is a necessity…

Quantum Physics · Physics 2024-02-15 Antonio deMarti iOlius , Josu Etxezarreta Martinez

The emergence of long-context large language models (LLMs) offers a promising alternative to traditional retrieval-augmented generation (RAG) for processing extensive documents. However, the computational overhead of long-context inference…

Computation and Language · Computer Science 2025-06-24 Guanzheng Chen , Qilong Feng , Jinjie Ni , Xin Li , Michael Qizhe Shieh

Recommendation system delivers substantial economic benefits by providing personalized predictions. Generative recommendation (GR) integrates LLMs to enhance the understanding of long user-item sequences. Despite employing attention-based…

Low-rank plus diagonal (LRPD) decompositions provide a powerful structural model for large covariance matrices, simultaneously capturing global shared factors and localized corrections that arise in covariance estimation, factor analysis,…

Numerical Analysis · Mathematics 2025-12-22 Kingsley Yeon , Mihai Anitescu

Random Linear Network Coding (RLNC) provides a theoretically efficient method for coding. Some of its practical drawbacks are the complexity of decoding and the overhead due to the coding vectors. For computationally weak and battery-driven…

Networking and Internet Architecture · Computer Science 2015-09-16 Janus Heide , Morten V. Pedersen , Frank H. P. Fitzek , Muriel M edard