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We introduce a novel framework for an approxi- mate recovery of data matrices which are low-rank on graphs, from sampled measurements. The rows and columns of such matrices belong to the span of the first few eigenvectors of the graphs…

机器学习 · 计算机科学 2016-10-05 Nauman Shahid , Nathanael Perraudin , Gilles Puy , Pierre Vandergheynst

We introduce Reactive Message Passing (RMP) as a framework for executing schedule-free, robust and scalable message passing-based inference in a factor graph representation of a probabilistic model. RMP is based on the reactive programming…

机器学习 · 计算机科学 2021-12-28 Dmitry Bagaev , Bert de Vries

In phase retrieval, the goal is to recover a signal $\mathbf{x}\in\mathbb{C}^N$ from the magnitudes of linear measurements $\mathbf{Ax}\in\mathbb{C}^M$. While recent theory has established that $M\approx 4N$ intensity measurements are…

信息论 · 计算机科学 2015-06-19 Philip Schniter , Sundeep Rangan

In this paper we develop a new approach to sparse principal component analysis (sparse PCA). We propose two single-unit and two block optimization formulations of the sparse PCA problem, aimed at extracting a single sparse dominant…

最优化与控制 · 数学 2008-12-01 Michel Journée , Yurii Nesterov , Peter Richtárik , Rodolphe Sepulchre

It has been widely observed that there exists a fundamental trade-off between the minimum (Hamming) distance properties and the iterative decoding convergence behavior of turbo-like codes. While capacity achieving code ensembles typically…

Accurately estimating the 3D pose of humans in video sequences requires both accuracy and a well-structured architecture. With the success of transformers, we introduce the Refined Temporal Pyramidal Compression-and-Amplification (RTPCA)…

计算机视觉与模式识别 · 计算机科学 2024-02-06 Hanbing Liu , Wangmeng Xiang , Jun-Yan He , Zhi-Qi Cheng , Bin Luo , Yifeng Geng , Xuansong Xie

This paper proposes to decouple performance optimization and enforcement of asymptotic convergence in Model Predictive Control (MPC) so that convergence to a given terminal set is achieved independently of how much performance is optimized…

系统与控制 · 计算机科学 2015-03-02 Alberto Bemporad , Daniele Bernardini , Panagiotis Patrinos

Automatic prompt optimization has recently emerged as a strategy for improving the quality of prompts used in Large Language Models (LLMs), with the goal of generating more accurate and useful responses. However, most prior work focuses on…

计算与语言 · 计算机科学 2025-10-06 Juhyeon Lee , Wonduk Seo , Hyunjin An , Seunghyun Lee , Yi Bu

Maximum a posteriori (MAP) inference in discrete-valued Markov random fields is a fundamental problem in machine learning that involves identifying the most likely configuration of random variables given a distribution. Due to the…

机器学习 · 计算机科学 2020-07-03 Jonathan N. Lee , Aldo Pacchiano , Peter Bartlett , Michael I. Jordan

We consider the problem of reconstructing a signal from multi-layered (possibly) non-linear measurements. Using non-rigorous but standard methods from statistical physics we present the Multi-Layer Approximate Message Passing (ML-AMP)…

信息论 · 计算机科学 2020-01-22 Andre Manoel , Florent Krzakala , Marc Mézard , Lenka Zdeborová

This article focuses on the robust principal component analysis (PCA) of high-dimensional data with elliptical distributions. We investigate the PCA of the sample spatial-sign covariance matrix in both nonsparse and sparse contexts,…

统计方法学 · 统计学 2025-07-08 Ping Zhao , Hongfei Wang , Long Feng

Compressive sensing aims to recover a high-dimensional sparse signal from a relatively small number of measurements. In this paper, a novel design of the measurement matrix is proposed. The design is inspired by the construction of…

信息论 · 计算机科学 2016-03-22 Xu Chen , Dongning Guo

Rejective sampling improves design and estimation efficiency of single-phase sampling when auxiliary information in a finite population is available. When such auxiliary information is unavailable, we propose to use two-phase rejective…

统计方法学 · 统计学 2025-01-14 Shu Yang , Peng Ding

We study the asymptotic behaviour of the Regularized Maximum Partial Likelihood Estimator (RMPLE) in the proportional limit, considering an arbitrary convex regularizer and assuming that the covariates $\mathbf{X}_i\in\mathbb{R}^{p}$ follow…

统计理论 · 数学 2025-02-07 Emanuele Massa , Anthony Coolen

We propose a principal components regression method based on maximizing a joint pseudo-likelihood for responses and predictors. Our method uses both responses and predictors to select linear combinations of the predictors relevant for the…

统计方法学 · 统计学 2021-08-10 Karl Oskar Ekvall

In this paper we propose a new iterative algorithm to solve the fair PCA (FPCA) problem. We start with the max-min fair PCA formulation originally proposed in [1] and derive a simple and efficient iterative algorithm which is based on the…

机器学习 · 统计学 2023-05-11 Prabhu Babu , Petre Stoica

Consider the problem of estimating a low-rank matrix when its entries are perturbed by Gaussian noise. If the empirical distribution of the entries of the spikes is known, optimal estimators that exploit this knowledge can substantially…

统计理论 · 数学 2019-08-08 Andrea Montanari , Ramji Venkataramanan

The Principal Component Analysis (PCA) is a data dimensionality reduction technique well-suited for processing data from sensor networks. It can be applied to tasks like compression, event detection, and event recognition. This technique is…

网络与互联网体系结构 · 计算机科学 2010-03-13 Yann-Aël Le Borgne , Sylvain Raybaud , Gianluca Bontempi

Collaborative Combat Aircraft (CCAs) are envisioned to enable autonomous Intelligence, Surveillance, and Reconnaissance (ISR) missions in contested environments, where adversaries may act strategically to deceive or evade detection. These…

最优化与控制 · 数学 2025-12-02 Jimin Choi , Max Z. Li

This letter is devoted to the concept of ``instant'' model predictive control (iMPC) for linear systems. An optimization problem is formulated to express the finite-time constrained optimal regulation control, like conventional MPC. Then,…

系统与控制 · 计算机科学 2020-03-11 Keisuke Yoshida , Masaki Inoue , Takeshi Hatanaka