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We investigate the application of ensemble transform approaches to Bayesian inference of logistic regression problems. Our approach relies on appropriate extensions of the popular ensemble Kalman filter and the feedback particle filter to…

数值分析 · 数学 2021-09-27 Jakiw Pidstrigach , Sebastian Reich

Affine frequency division multiplexing (AFDM) has recently emerged as an excellent backward-compatible 6G waveform. In this paper, we study matched filtering (MF) assisted channel estimation (CE) for AFDM systems in complex doubly selective…

信号处理 · 电气工程与系统科学 2026-02-18 Xiangjun Li , Zilong Liu , Zhengchun Zhou , Pingzhi Fan

We present two algorithms for computing what we call the absolute factorization of a difference operator. We also give an algorithm to solve third order difference equations in terms of second order equations, together with applications to…

交换代数 · 数学 2024-06-12 Heba Bou KaedBey , Mark van Hoeij , Man Cheung Tsui

Visual localization has become a key enabling component of many place recognition and SLAM systems. Contemporary research has primarily focused on improving accuracy and precision-recall type metrics, with relatively little attention paid…

计算机视觉与模式识别 · 计算机科学 2019-02-06 Huu Le , Tuan Hoang , Qianggong Zhang , Thanh-Toan Do , Anders Eriksson , Michael Milford

Sum-of-squares (SOS) optimization provides a computationally tractable framework for certifying polynomial nonnegativity. If the considered problem is convex, the SOS problem can be transcribed into and solved by semi-definite programs.…

最优化与控制 · 数学 2026-04-14 Jan Olucak , Torbjørn Cunis

Symmetric Nonnegative Matrix Factorization (SNMF) models arise naturally as simple reformulations of many standard clustering algorithms including the popular spectral clustering method. Recent work has demonstrated that an elementary…

计算机视觉与模式识别 · 计算机科学 2016-09-20 Reza Borhani , Jeremy Watt , Aggelos Katsaggelos

The goal of affine matrix rank minimization problem is to reconstruct a low-rank or approximately low-rank matrix under linear constraints. In general, this problem is combinatorial and NP-hard. In this paper, a nonconvex fraction function…

最优化与控制 · 数学 2018-06-21 Angang Cui , Jigen Peng , Haiyang Li

Traditional decision-based black-box adversarial attacks on image classifiers aim to generate adversarial examples by slightly modifying input images while keeping the number of queries low, where each query involves sending an input to the…

机器学习 · 计算机科学 2025-06-10 Mahdi Salmani , Alireza Abdollahpoorrostam , Seyed-Mohsen Moosavi-Dezfooli

The assumed hardness of the Linear Code Equivalence problem (LCE) lies at the core of the security of the LESS signature scheme and other signature schemes with advanced functionalities. The LCE problem asks to determine whether two linear…

代数几何 · 数学 2026-04-08 Gessica Alecci , Giuseppe D'Alconzo

When a computer algebra system fails to solve an Ordinary Differential Equation, is this a limitation of its implementation, or a genuine computational barrier? Three traditions bear on the question. Modern computer algebra algorithms can…

符号计算 · 计算机科学 2026-05-11 Olivier Bournez , Alonso Núñez

We approximate the d complex zeros of a univariate polynomial p(x) of a degree d or those zeros that lie in a fixed region of interest on the complex plane such as a disc or a square. Our divide and conquer algorithm of STOC 1995 supports…

符号计算 · 计算机科学 2023-06-13 Victor Y. Pan , Soo Go , Qi Luan , Liang Zhao

Dual encoders have been used for question-answering (QA) and information retrieval (IR) tasks with good results. Previous research focuses on two major types of dual encoders, Siamese Dual Encoder (SDE), with parameters shared across two…

计算与语言 · 计算机科学 2022-11-16 Zhe Dong , Jianmo Ni , Daniel M. Bikel , Enrique Alfonseca , Yuan Wang , Chen Qu , Imed Zitouni

Matrix factorization is an inference problem that has acquired importance due to its vast range of applications that go from dictionary learning to recommendation systems and machine learning with deep networks. The study of its fundamental…

无序系统与神经网络 · 物理学 2023-08-01 Francesco Camilli , Marc Mézard

Surface integral equation (SIE) methods are of great interest for the efficient electromagnetic modeling of various devices, from integrated circuits to antenna arrays. Existing acceleration algorithms for SIEs, such as the adaptive…

计算工程、金融与科学 · 计算机科学 2021-07-13 Shashwat Sharma , Piero Triverio

We propose a unified framework to speed up the existing stochastic matrix factorization (SMF) algorithms via variance reduction. Our framework is general and it subsumes several well-known SMF formulations in the literature. We perform a…

机器学习 · 统计学 2017-05-23 Renbo Zhao , William B. Haskell , Jiashi Feng

Many approaches in machine learning rely on a weighted graph to encode the similarities between samples in a dataset. Entropic affinities (EAs), which are notably used in the popular Dimensionality Reduction (DR) algorithm t-SNE, are…

机器学习 · 计算机科学 2023-10-31 Hugues Van Assel , Titouan Vayer , Rémi Flamary , Nicolas Courty

Atomic norm minimization (ANM) is a key approach for line spectral estimation (LSE). Most related algorithms formulate ANM as a semidefinite programming (SDP), which incurs high computational cost. In this letter, we revisit the ANM problem…

最优化与控制 · 数学 2024-11-14 Xiaozhi Liu , Jinjiang Wei , Yong Xia

In this paper, we study the popularly dubbed matrix completion problem, where the task is to "fill in" the unobserved entries of a matrix from a small subset of observed entries, under the assumption that the underlying matrix is of…

统计计算 · 统计学 2020-03-04 Rahul Mazumder , Diego F. Saldana , Haolei Weng

We study the problem of fairly allocating $m$ indivisible goods to $n$ agents, where agents may have different preferences over the goods. In the traditional setting, agents' valuations are provided as inputs to the algorithm. In this…

计算机科学与博弈论 · 计算机科学 2025-08-05 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

Positive semidefinite matrix factorization (PSDMF) expresses each entry of a nonnegative matrix as the inner product of two positive semidefinite (psd) matrices. When all these psd matrices are constrained to be diagonal, this model is…

信号处理 · 电气工程与系统科学 2021-07-07 Dana Lahat , Yanbin Lang , Vincent Y. F. Tan , Cédric Févotte