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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

We develop methods for parameter estimation in settings with large-scale data sets, where traditional methods are no longer tenable. Our methods rely on stochastic approximations, which are computationally efficient as they maintain one…

Computation · Statistics 2015-09-23 Dustin Tran , Panos Toulis , Edoardo M. Airoldi

The security of code-based cryptography relies primarily on the hardness of generic decoding with linear codes. The best generic decoding algorithms are all improvements of an old algorithm due to Prange: they are known under the name of…

Cryptography and Security · Computer Science 2017-02-09 Thomas Debris-Alazard , Jean-Pierre Tillich

While large language models have proven effective in a huge range of downstream applications, they often generate text that is problematic or lacks a desired attribute. In this paper, we introduce Reward-Augmented Decoding (RAD), a text…

Computation and Language · Computer Science 2024-01-03 Haikang Deng , Colin Raffel

We propose "Generative Fusion Decoding" (GFD), a novel shallow fusion framework designed to integrate large language models (LLMs) into cross-modal text recognition systems for automatic speech recognition (ASR) and optical character…

Computation and Language · Computer Science 2025-06-12 Chan-Jan Hsu , Yi-Chang Chen , Feng-Ting Liao , Pei-Chen Ho , Yu-Hsiang Wang , Po-Chun Hsu , Da-shan Shiu

In traditional software programs, it is easy to trace program logic from variables back to input, apply assertion statements to block erroneous behavior, and compose programs together. Although deep learning programs have demonstrated…

Machine Learning · Computer Science 2021-10-27 Mike Wu , Noah Goodman , Stefano Ermon

We introduce Reward-Guided Speculative Decoding (RSD), a novel framework aimed at improving the efficiency of inference in large language models (LLMs). RSD synergistically combines a lightweight draft model with a more powerful target…

Computation and Language · Computer Science 2025-06-27 Baohao Liao , Yuhui Xu , Hanze Dong , Junnan Li , Christof Monz , Silvio Savarese , Doyen Sahoo , Caiming Xiong

Weak-to-strong generalization provides a promising paradigm for scaling large language models (LLMs) by training stronger models on samples from aligned weaker ones, without requiring human feedback or explicit reward modeling. However, its…

Computation and Language · Computer Science 2025-10-10 Houcheng Jiang , Junfeng Fang , Jiaxin Wu , Tianyu Zhang , Chen Gao , Yong Li , Xiang Wang , Xiangnan He , Yang Deng

While instruction-tuned language models have demonstrated impressive zero-shot generalization, these models often struggle to generate accurate responses when faced with instructions that fall outside their training set. This paper presents…

Computation and Language · Computer Science 2024-02-20 Taehyeon Kim , Joonkee Kim , Gihun Lee , Se-Young Yun

Graduated optimization is a global optimization technique that is used to minimize a multimodal nonconvex function by smoothing the objective function with noise and gradually refining the solution. This paper experimentally evaluates the…

Machine Learning · Computer Science 2024-12-17 Naoki Sato , Hideaki Iiduka

We introduce Robust Multi-Objective Decoding (RMOD), a novel inference-time algorithm that robustly aligns Large Language Models (LLMs) to multiple human objectives (e.g., instruction-following, helpfulness, safety) by maximizing the…

Machine Learning · Computer Science 2026-02-17 Seongho Son , William Bankes , Sangwoong Yoon , Shyam Sundhar Ramesh , Xiaohang Tang , Ilija Bogunovic

We propose a list-decoding scheme for reconstruction codes in the context of uniform-tandem-duplication noise, which can be viewed as an application of the associative memory model to this setting. We find the uncertainty associated with…

Information Theory · Computer Science 2021-06-30 Yonatan Yehezkeally , Moshe Schwartz

Classical stochastic gradient methods for optimization rely on noisy gradient approximations that become progressively less accurate as iterates approach a solution. The large noise and small signal in the resulting gradients makes it…

Machine Learning · Computer Science 2017-04-10 Soham De , Abhay Yadav , David Jacobs , Tom Goldstein

Previous work has examined the ability of larger capacity neural networks to generalize better than smaller ones, even without explicit regularizers, by analyzing gradient based algorithms such as GD and SGD. The presence of noise and its…

Machine Learning · Computer Science 2020-05-27 Arushi Gupta

Transformer language models generate text autoregressively, making inference latency proportional to the number of tokens generated. Speculative decoding reduces this latency without sacrificing output quality, by leveraging a small draft…

Machine Learning · Computer Science 2025-10-24 Clara Mohri , Haim Kaplan , Tal Schuster , Yishay Mansour , Amir Globerson

The existence of noisy data is prevalent in both the training and testing phases of machine learning systems, which inevitably leads to the degradation of model performance. There have been plenty of works concentrated on learning with…

Machine Learning · Computer Science 2021-08-26 Zhi-Fan Wu , Tong Wei , Jianwen Jiang , Chaojie Mao , Mingqian Tang , Yu-Feng Li

Deep neural networks (DNN) are typically optimized using stochastic gradient descent (SGD). However, the estimation of the gradient using stochastic samples tends to be noisy and unreliable, resulting in large gradient variance and bad…

Machine Learning · Computer Science 2021-05-18 Xingyi Yang

In the search for highly efficient decoders for short LDPC codes approaching maximum likelihood performance, a relayed decoding strategy, specifically activating the ordered statistics decoding process upon failure of a neural min-sum…

Information Theory · Computer Science 2024-03-26 Guangwen Li , Xiao Yu

Stochastic Gradient Descent (SGD) is the workhorse algorithm of deep learning technology. At each step of the training phase, a mini batch of samples is drawn from the training dataset and the weights of the neural network are adjusted…

Disordered Systems and Neural Networks · Physics 2022-09-07 Francesca Mignacco , Pierfrancesco Urbani

We propose a novel soft-aided hard-decision decoding algorithm for general product-like codes. It achieves error correcting performance similar to that of a soft-decision turbo decoder for staircase and OFEC codes, while maintaining a low…

Information Theory · Computer Science 2024-05-01 Lukas Rapp , Sisi Miao , Laurent Schmalen
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