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1-bit compressive sensing aims to recover sparse signals from quantized 1-bit measurements. Designing efficient approaches that could handle noisy 1-bit measurements is important in a variety of applications. In this paper we use the…

Information Theory · Computer Science 2022-04-28 Shuai Huang , Trac D. Tran

The computational and memory challenges of large language models (LLMs) have sparked several optimization approaches towards their efficient implementation. While prior LLM-targeted quantization, and prior works on sparse acceleration have…

Hardware Architecture · Computer Science 2025-03-18 Abhishek Moitra , Arkapravo Ghosh , Shrey Agarwal , Aporva Amarnath , Karthik Swaminathan , Priyadarshini Panda

Recent advances in vision-language models have made zero-shot navigation feasible, enabling robots to follow natural language instructions without requiring labeling. However, existing methods that explicitly store language vectors in grid…

Robotics · Computer Science 2026-02-13 Sibaek Lee , Hyeonwoo Yu , Giseop Kim , Sunwook Choi

We propose an adaptive mixed precision and dynamically scaled preconditioned conjugate gradient algorithm (AMP-PCG). It dynamically adjusts the precision for storing vectors and computing, exploiting low precision when appropriate, while…

Numerical Analysis · Mathematics 2025-05-08 Yichen Guo , Eric de Sturler , Tim Warburton

We consider the problem of jointly recovering the vector $\boldsymbol{b}$ and the matrix $\boldsymbol{C}$ from noisy measurements $\boldsymbol{Y} = \boldsymbol{A}(\boldsymbol{b})\boldsymbol{C} + \boldsymbol{W}$, where…

Information Theory · Computer Science 2019-06-26 Subrata Sarkar , Alyson K. Fletcher , Sundeep Rangan , Philip Schniter

We introduce a theoretical approach for designing generalizations of the approximate message passing (AMP) algorithm for compressed sensing which are valid for large observation matrices that are drawn from an invariant random matrix…

Information Theory · Computer Science 2017-05-12 Burak Çakmak , Manfred Opper , Ole Winther , Bernard H. Fleury

In this paper, we focus on the matching recovery problem between a pair of correlated Gaussian Wigner matrices with a latent vertex correspondence. We are particularly interested in a robust version of this problem such that our observation…

Machine Learning · Statistics 2025-06-02 Zhangsong Li

The widespread adoption of Large Language Models (LLMs) has exponentially increased the demand for efficient serving systems. With growing requests and context lengths, key-value (KV)-related operations, including attention computation and…

Hardware Architecture · Computer Science 2026-02-13 Lian Liu , Shixin Zhao , Yutian Zhou , Yintao He , Mengdi Wang , Yinhe Han , Ying Wang

Sparse superposition codes were originally proposed as a capacity-achieving communication scheme over the gaussian channel, whose coding matrices were made of i.i.d. gaussian entries.We extend this coding scheme to more generic ensembles of…

Information Theory · Computer Science 2022-05-27 TianQi Hou , YuHao Liu , Teng Fu , Jean Barbier

The ubiquity of approximately sparse data has led a variety of com- munities to great interest in compressed sensing algorithms. Although these are very successful and well understood for linear measurements with additive noise, applying…

Information Theory · Computer Science 2016-07-27 Christophe Schülke , Francesco Caltagirone , Lenka Zdeborová

We propose Log-Averaged Mirror Prox (LAMP), a linear-space primal-dual method for large-scale optimal transport. LAMP implements primal mirror prox updates by tracking an averaged dual sequence, reducing storage complexity from ${O}(nm)$ to…

Optimization and Control · Mathematics 2026-05-12 Matthew X. Burns , Jiaming Liang

The Approximate Message Passing (AMP) algorithm efficiently reconstructs signals which have been sampled with large i.i.d. sub-Gaussian sensing matrices. Central to AMP is its "state evolution", which guarantees that the difference between…

Signal Processing · Electrical Eng. & Systems 2020-09-08 Charles Millard , Aaron T Hess , Boris Mailhé , Jared Tanner

We consider the downlink of a cell-free massive multiple-input multiple-output (MIMO) system where large number of access points (APs) simultaneously serve a group of users. Two fundamental problems are of interest, namely (i) to maximize…

Signal Processing · Electrical Eng. & Systems 2022-01-13 Muhammad Farooq , Hien Quoc Ngo , Le-Nam Tran

This paper proposes Bayes-optimal convolutional approximate message-passing (CAMP) for signal recovery in compressed sensing. CAMP uses the same low-complexity matched filter (MF) for interference suppression as approximate message-passing…

Information Theory · Computer Science 2021-04-05 Keigo Takeuchi

In this paper, we study a spiked Wigner problem with an inhomogeneous noise profile. Our aim in this problem is to recover the signal passed through an inhomogeneous low-rank matrix channel. While the information-theoretic performances are…

Machine Learning · Statistics 2023-02-15 Aleksandr Pak , Justin Ko , Florent Krzakala

In this work the dynamic compressive sensing (CS) problem of recovering sparse, correlated, time-varying signals from sub-Nyquist, non-adaptive, linear measurements is explored from a Bayesian perspective. While there has been a handful of…

Information Theory · Computer Science 2015-06-05 Justin Ziniel , Philip Schniter

Approximate Message Passing (AMP) algorithms have seen widespread use across a variety of applications. However, the precise forms for their Onsager corrections and state evolutions depend on properties of the underlying random matrix…

Probability · Mathematics 2021-08-16 Zhou Fan

In this work we propose a novel iterative estimation algorithm for linear observation systems called S-AMP whose fixed points are the stationary points of the exact Gibbs free energy under a set of (first- and second-) moment consistency…

Information Theory · Computer Science 2014-05-13 Burak Çakmak , Ole Winther , Bernard H. Fleury

Momentum-Aided Prompt Optimization (MAPO) enhances the efficiency and efficacy of prompt optimization for Large Language Models (LLMs). Building on ProTeGi, MAPO uses positive natural language "gradients" and a momentum-based extension to…

Computation and Language · Computer Science 2025-06-30 Anthony Cui , Pranav Nandyalam , Andrew Rufail , Ethan Cheung , Aiden Lei , Kevin Zhu , Sean O'Brien

Millimeter-wave massive multiple-input multiple-output (MIMO) can use a lens antenna array to considerably reduce the number of radio frequency (RF) chains, but channel estimation is challenging due to the number of RF chains is much…

Signal Processing · Electrical Eng. & Systems 2020-10-26 Xiuhong Wei , Chen Hu , Linglong Dai