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Approximate Message Passing (AMP) algorithms enable precise characterization of certain classes of random objects in the high-dimensional limit, and have found widespread applications in fields such as signal processing, statistics, and…

统计理论 · 数学 2025-07-01 Longlin Wang , Yanke Song , Kuanhao Jiang , Pragya Sur

This paper proposes two distinct contributions to econometric analysis of large information sets and structural instabilities. First, it treats a regression model with time-varying coefficients, stochastic volatility and exogenous…

统计方法学 · 统计学 2020-04-27 Dimitris Korobilis

We consider a problem of localizing a path-signal that evolves over time on a graph. A path-signal can be viewed as the trajectory of a moving agent on a graph in several consecutive time points. Combining dynamic programming and graph…

信号处理 · 电气工程与系统科学 2018-11-14 Yaoqing Yang , Siheng Chen , Mohammad Ali Maddah-Ali , Pulkit Grover , Soummya Kar , Jelena Kovačević

We introduce an iterative optimization scheme for convex objectives consisting of a linear loss and a non-separable penalty, based on the expectation-consistent approximation and the vector approximate message-passing (VAMP) algorithm.…

机器学习 · 统计学 2018-09-18 Andre Manoel , Florent Krzakala , Gaël Varoquaux , Bertrand Thirion , Lenka Zdeborová

Conformal prediction has emerged as a powerful tool for building prediction intervals that are valid in a distribution-free way. However, its evaluation may be computationally costly, especially in the high-dimensional setting where the…

机器学习 · 统计学 2025-11-13 Lucas Clarté , Lenka Zdeborová

We consider the problem of parameter estimation from a generalized linear model with a random design matrix that is orthogonally invariant in law. Such a model allows the design have an arbitrary distribution of singular values and only…

统计理论 · 数学 2026-02-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

Most existing studies on joint activity detection and channel estimation for grant-free massive random access (RA) systems assume perfect synchronization among all active users, which is hard to achieve in practice. Therefore, this paper…

信号处理 · 电气工程与系统科学 2023-05-23 Xinyu Bian , Yuyi Mao , Jun Zhang

Approximate message passing (AMP) methods have gained recent traction in sparse signal recovery. Additional information about the signal, or \emph{side information} (SI), is commonly available and can aid in efficient signal recovery. This…

信息论 · 计算机科学 2019-05-06 Anna Ma , You , Zhou , Cynthia Rush , Dror Baron , Deanna Needell

We present a particle-based framework for estimating the position of a vehicle using map information and measurements of speed. Two measurement functions are considered. The first is based on the assumption that the lateral force on the…

密码学与安全 · 计算机科学 2016-11-24 Johan Wahlström , Isaac Skog , João G. P. Rodrigues , Peter Händel , Ana Aguiar

We propose an estimator of prediction error using an approximate message passing (AMP) algorithm that can be applied to a broad range of sparse penalties. Following Stein's lemma, the estimator of the generalized degrees of freedom, which…

机器学习 · 统计学 2018-08-01 Ayaka Sakata

Efficiently finding the maximum a posteriori (MAP) configuration of a graphical model is an important problem which is often implemented using message passing algorithms. The optimality of such algorithms is only well established for…

人工智能 · 计算机科学 2012-05-14 Tony S. Jebara

This paper considers a generalized multiple-input multiple-output (GMIMO) with practical assumptions, such as massive antennas, practical channel coding, arbitrary input distributions, and general right-unitarily-invariant channel matrices…

信息论 · 计算机科学 2023-10-30 Yufei Chen , Lei Liu , Yuhao Chi , Ying Li , Zhaoyang Zhang

Decentralized generalized approximate message-passing (GAMP) is proposed for compressed sensing from distributed generalized linear measurements in a tree-structured network. Consensus propagation is used to realize average consensus…

信息论 · 计算机科学 2024-06-05 Keigo Takeuchi

Approximate Message Passing (AMP) has been shown to be a superior method for inference problems, such as the recovery of signals from sets of noisy, lower-dimensionality measurements, both in terms of reconstruction accuracy and in…

信息论 · 计算机科学 2015-06-10 Andre Manoel , Florent Krzakala , Eric W. Tramel , Lenka Zdeborová

Generalized linear models (GLMs) -- such as logistic regression, Poisson regression, and robust regression -- provide interpretable models for diverse data types. Probabilistic approaches, particularly Bayesian ones, allow coherent…

统计计算 · 统计学 2018-12-19 Jonathan H. Huggins , Ryan P. Adams , Tamara Broderick

This paper presents a generalization of the trajectory general optimal sub-pattern assignment (GOSPA) metric for evaluating multi-object tracking algorithms that provide trajectory estimates with track-level uncertainties. This metric…

信号处理 · 电气工程与系统科学 2025-06-19 Yuxuan Xia , Ángel F. García-Fernández , Johan Karlsson , Yu Ge , Lennart Svensson , Ting Yuan

This paper addresses the reconstruction of sparse signals from generalized linear measurements. Signal sparsity is assumed to be sublinear in the signal dimension while it was proportional to the signal dimension in conventional research.…

信息论 · 计算机科学 2026-04-13 Keigo Takeuchi

We present a swift walk-through of our recent work that uses machine learning to fit interatomic potentials based on quantum mechanical data. We describe our Gaussian Approximation Potentials (GAP) framework, discussing a variety of…

材料科学 · 物理学 2020-02-06 Albert P. Bartók , Gábor Csányi

This paper considers the generalized bilinear recovery problem which aims to jointly recover the vector $\mathbf b$ and the matrix $\mathbf X$ from componentwise nonlinear measurements ${\mathbf Y}\sim p({\mathbf Y}|{\mathbf…

信息论 · 计算机科学 2018-12-27 Xiangming Meng , Jiang Zhu

Approximate message passing (AMP) is a low-cost iterative parameter-estimation technique for certain high-dimensional linear systems with non-Gaussian distributions. AMP only applies to independent identically distributed (IID) transform…

信息论 · 计算机科学 2022-06-24 Lei Liu , Shunqi Huang , Brian M. Kurkoski