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Approximate message passing (AMP) is a scalable, iterative approach to signal recovery. For structured random measurement ensembles, including independent and identically distributed (i.i.d.) Gaussian and rotationally-invariant matrices,…

Information Theory · Computer Science 2023-06-27 Dang Qua Nguyen , Taejoon Kim

We propose a novel solution framework for inverse mixed-integer optimization based on analytic center concepts from interior point methods. We characterize the optimality gap of a given solution, provide structural results, and propose…

Optimization and Control · Mathematics 2025-04-08 Samir Elhedhli , Göksu Ece Okur

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

Compressed sensing (CS) deals with the problem of reconstructing a sparse vector from an under-determined set of observations. Approximate message passing (AMP) is a technique used in CS based on iterative thresholding and inspired by…

Signal Processing · Electrical Eng. & Systems 2019-07-12 Viktoria Schram , Ali Bereyhi , Jan-Nico Zaech , Ralf R. Müller , Wolfgang H. Gerstacker

This paper considers the problem of channel coding with a given (possibly suboptimal) maximum-metric decoding rule. A cost-constrained random-coding ensemble with multiple auxiliary costs is introduced, and is shown to achieve error…

Information Theory · Computer Science 2014-03-05 Jonathan Scarlett , Alfonso Martinez , Albert Guillén i Fàbregas

This paper presents a new approach to solve linear and nonlinear model predictive control (MPC) problems that requires small memory footprint and throughput and is particularly suitable when the model and/or controller parameters change at…

Optimization and Control · Mathematics 2021-03-25 Nilay Saraf , Alberto Bemporad

Approximate message passing algorithm enjoyed considerable attention in the last decade. In this paper we introduce a variant of the AMP algorithm that takes into account glassy nature of the system under consideration. We coin this…

Disordered Systems and Neural Networks · Physics 2019-02-07 Fabrizio Antenucci , Florent Krzakala , Pierfrancesco Urbani , Lenka Zdeborová

In the pooled data problem, the goal is to identify the categories associated with a large collection of items via a sequence of pooled tests. Each pooled test reveals the number of items of each category within the pool. We study an…

Information Theory · Computer Science 2024-10-25 Nelvin Tan , Pablo Pascual Cobo , Jonathan Scarlett , Ramji Venkataramanan

We consider the problem of quantifying the Pareto optimal boundary in the achievable rate region over multiple-input single-output (MISO) interference channels, where the problem boils down to solving a sequence of convex feasibility…

Information Theory · Computer Science 2015-05-20 Jiaming Qiu , Rui Zhang , Zhi-Quan Luo , Shuguang Cui

Many-objective optimisation, a subset of multi-objective optimisation, involves optimisation problems with more than three objectives. As the number of objectives increases, the number of solutions needed to adequately represent the entire…

Artificial Intelligence · Computer Science 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

For over a decade now we have been witnessing the success of {\em massive parallel computation} (MPC) frameworks, such as MapReduce, Hadoop, Dryad, or Spark. One of the reasons for their success is the fact that these frameworks are able to…

Data Structures and Algorithms · Computer Science 2018-02-02 Artur Czumaj , Jakub Łącki , Aleksander Mądry , Slobodan Mitrović , Krzysztof Onak , Piotr Sankowski

The Partitioning Min-Max Weighted Matching (PMMWM) problem is an NP-hard problem that combines the problem of partitioning a group of vertices of a bipartite graph into disjoint subsets with limited size and the classical Min-Max Weighted…

Data Structures and Algorithms · Computer Science 2022-01-26 Yuxuan Wang , Jinyao Xie , Jiongzhi Zheng , Kun He

We consider the downlink of a cell-free massive multiple-input multiple-output (MIMO) system with \textcolor{red}{single}-antenna access points (APs) and single-antenna users. An iterative robust minimum mean-square error (RMMSE) precoder…

Information Theory · Computer Science 2021-04-21 V. M. T. Palhares , A. Flores , R. C. de Lamare

This paper considers probabilistic estimation of a low-rank matrix from non-linear element-wise measurements of its elements. We derive the corresponding approximate message passing (AMP) algorithm and its state evolution. Relying on…

Information Theory · Computer Science 2016-04-19 Thibault Lesieur , Florent Krzakala , Lenka Zdeborová

In compressed sensing one measures sparse signals directly in a compressed form via a linear transform and then reconstructs the original signal. However, it is often the case that the linear transform itself is known only approximately, a…

Information Theory · Computer Science 2013-11-13 Florent Krzakala , Marc Mézard , Lenka Zdeborová

We propose an orthogonal approximate message passing (OAMP) algorithm for signal estimation in the rectangular spiked matrix model with general rotationally invariant (RI) noise. We establish a rigorous state evolution that exactly…

Statistics Theory · Mathematics 2026-02-04 Haohua Chen , Songbin Liu , Junjie Ma

This paper studies an entropy-based multi-objective Bayesian optimization (MBO). The entropy search is successful approach to Bayesian optimization. However, for MBO, existing entropy-based methods ignore trade-off among objectives or…

Machine Learning · Computer Science 2020-02-12 Shinya Suzuki , Shion Takeno , Tomoyuki Tamura , Kazuki Shitara , Masayuki Karasuyama

We develop an edge-assisted object recognition system with the aim of studying the system-level trade-offs between end-to-end latency and object recognition accuracy. We focus on developing techniques that optimize the transmission delay of…

Networking and Internet Architecture · Computer Science 2020-03-10 A. Galanopoulos , V. Valls , G. Iosifidis , D. J. Leith

Recently, several promising approximate message passing (AMP) based algorithms have been developed for bilinear recovery with model $\boldsymbol{Y}=\sum_{k=1}^K b_k \boldsymbol{A}_k \boldsymbol{C} +\boldsymbol{W} $, where $\{b_k\}$ and…

Information Theory · Computer Science 2021-02-24 Zhengdao Yuan , Qinghua Guo , Man Luo

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
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