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We consider the problem of robust matrix completion, which aims to recover a low rank matrix $L_*$ and a sparse matrix $S_*$ from incomplete observations of their sum $M=L_*+S_*\in\mathbb{R}^{m\times n}$. Algorithmically, the robust matrix…

机器学习 · 统计学 2020-03-25 Yunfeng Cai , Ping Li

The aim of this study is to investigate less conservative conditions for a parameterized linear matrix inequality (PLMI) expressed in the form of a double convex sum. This type of PLMI frequently appears in T-S fuzzy control system analysis…

系统与控制 · 电气工程与系统科学 2023-07-14 Do Wan Kim , Dong Hwan Lee

Robust low-rank matrix completion (RMC), or robust principal component analysis with partially observed data, has been studied extensively for computer vision, signal processing and machine learning applications. This problem aims to…

机器学习 · 计算机科学 2021-06-09 Minhui Huang , Shiqian Ma , Lifeng Lai

Zero-shot multi-label recognition (MLR) with Vision-Language Models (VLMs) faces significant challenges without training data, model tuning, or architectural modifications. Existing approaches require prompt tuning or architectural…

计算机视觉与模式识别 · 计算机科学 2025-02-25 Kevin Miller , Samarth Mishra , Aditya Gangrade , Kate Saenko , Venkatesh Saligrama

This paper addresses the problem of robust dynamic output stabilization of FO-LTI interval systems with the fractional order 0<{\alpha}<2, in terms of linear matrix inequalities (LMIs). Our purpose is to design a robust dynamic output…

系统与控制 · 计算机科学 2018-07-31 Pouya Badri , Mahdi Sojoodi

Low-rank matrix approximation (LRMA) has been arisen in many applications, such as dynamic MRI, recommendation system and so on. The alternating direction method of multipliers (ADMM) has been designed for the nuclear norm regularized least…

最优化与控制 · 数学 2023-12-05 Zekun Liu

We propose a computationally straightforward test for the linearity of a spatial interaction function. Such functions arise commonly, either as practitioner imposed specifications or due to optimizing behaviour by agents. Our conditional…

计量经济学 · 经济学 2025-04-30 Abhimanyu Gupta , Jungyoon Lee , Francesca Rossi

In this work, we develop a numerically tractable trajectory optimization problem for rest-to-rest attitude transfers with CMG-driven spacecraft. First, we adapt a specialized dynamical model which avoids many of the numerical challenges…

最优化与控制 · 数学 2022-11-07 Thomas L. Dearing , John Hauser , Christopher Petersen , Marco M. Nicotra , Xudong Chen

The problem of matrix sensing, or trace regression, is a problem wherein one wishes to estimate a low-rank matrix from linear measurements perturbed with noise. A number of existing works have studied both convex and nonconvex approaches to…

统计理论 · 数学 2025-06-26 Joshua Agterberg , René Vidal

We consider the stability analysis of feedback systems with rectified linear unit (ReLU) activations, and model this problem with polynomial optimization. Stability can be certified by means of copositive multipliers in the framework of…

In the low-rank matrix completion (LRMC) problem, the low-rank assumption means that the columns (or rows) of the matrix to be completed are points on a low-dimensional linear algebraic variety. This paper extends this thinking to cases…

Monotone variational inequalities (VIs) provide a unifying framework for convex minimization, equilibrium computation, and convex-concave saddle-point problems. Extragradient-type methods are among the most effective first-order algorithms…

最优化与控制 · 数学 2026-04-16 Lingqing Shen , Fatma Kılınç-Karzan

We consider perturbed nonlinear ill-posed equations in Hilbert spaces, with operators that are monotone on a given closed convex subset. A simple stable approach is Lavrentiev regularization, but existence of solutions of the regularized…

数值分析 · 数学 2018-06-05 Robert Plato , Bernd Hofmann

The Lagrange multiplier method has proven highly effective for mitigating the ill-conditioning of full waveform inversion (FWI), enabling robust and computationally efficient algorithms that converge to accurate velocity models even from…

地球物理 · 物理学 2025-10-01 Ali Gholami , Kamal Aghazade , Akshay Vishwakarma

This paper addresses the problem of recursive set-membership identification for linear time varying (LTV) systems when both input and output measurements are affected by bounded additive noise. First we formulate the problem of online…

最优化与控制 · 数学 2021-07-06 Sophie M. Fosson , Diego Regruto , Talal Abdalla , Abdul Salam

Bounded model checking (BMC) is a widely used technique for formal property verification (FPV), where the transition relation is repeatedly unrolled to increasing depths and encoded into Boolean satisfiability (SAT) queries. As the bound…

计算机科学中的逻辑 · 计算机科学 2025-12-09 Changyuan Yu , Wenbin Che , Hongce Zhang

Least-squares reverse time migration (LSRTM) is one of the classic seismic imaging methods to reconstruct model perturbations within a known reference medium. It can be computed in either data or image domain using different methods by…

地球物理 · 物理学 2025-12-11 Pengliang Yang , Zhengyu Ji

This paper proposes a strategy for efficient geometrical verification in unmanned aerial vehicle (UAV) image matching. First, considering the complex transformation model between correspondence set in the image-space, feature points of…

计算机视觉与模式识别 · 计算机科学 2018-01-15 San Jiang , Wanshou Jiang

Robust disturbance rejection remains a longstanding challenge in humanoid locomotion, particularly on unstructured terrains where sensing is unreliable and model mismatch is pronounced. While perception information, such as height map,…

机器人学 · 计算机科学 2026-02-04 Qixin Zeng , Hongyin Zhang , Shangke Lyu , Junxi Jin , Donglin Wang , Chao Huang

This paper deals with sparse phase retrieval, i.e., the problem of estimating a vector from quadratic measurements under the assumption that few components are nonzero. In particular, we consider the problem of finding the sparsest vector…

信息论 · 计算机科学 2014-02-25 Fabien Lauer , Henrik Ohlsson