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We consider the fundamental problem of detecting/counting copies of a fixed pattern graph in a host graph. The recent progress on this problem has not included complete pattern graphs, i.e., cliques (and their complements, i.e., edge-free…

数据结构与算法 · 计算机科学 2021-10-01 Mirosław Kowaluk , Andrzej Lingas

This work deals with tailored reduced order models for bifurcating nonlinear parametric partial differential equations, where multiple coexisting solutions arise for a given parametric instance. Approaches based on proper orthogonal…

数值分析 · 数学 2025-05-14 Federico Pichi , Maria Strazzullo

Many clustering problems in computer vision and other contexts are also classification problems, where each cluster shares a meaningful label. Subspace clustering algorithms in particular are often applied to problems that fit this…

机器学习 · 计算机科学 2017-09-15 John Lipor , Laura Balzano

Compressed sensing typically deals with the estimation of a system input from its noise-corrupted linear measurements, where the number of measurements is smaller than the number of input components. The performance of the estimation…

信息论 · 计算机科学 2016-11-17 Jin Tan , Danielle Carmon , Dror Baron

In this paper we present a new coherence-based performance guarantee for the Orthogonal Matching Pursuit (OMP) algorithm. A lower bound for the probability of correctly identifying the support of a sparse signal with additive white Gaussian…

信息论 · 计算机科学 2017-09-28 Ehsan Miandji , Mohammad Emadi , Jonas Unger , Ehsan Afshari

In recent years, spectral clustering has become a standard method for data analysis used in a broad range of applications. In this paper we propose a new class of algorithms for multiway spectral clustering based on optimization of a…

机器学习 · 计算机科学 2016-05-05 James Voss , Mikhail Belkin , Luis Rademacher

The new particle accelerators and its experiments create a challenging data processing environment, characterized by large amount of data where only small portion of it carry the expected new scientific information. Modern detectors, such…

数据分析、统计与概率 · 物理学 2016-11-17 Erez Etzion , David Primor , Giora Mikenberg , Nir Amram , Hagit Messer

We propose a novel grayness index for finding gray pixels and demonstrate its effectiveness and efficiency in illumination estimation. The grayness index, GI in short, is derived using the Dichromatic Reflection Model and is learning-free.…

计算机视觉与模式识别 · 计算机科学 2019-05-03 Yanlin Qian , Joni-Kristian Kämäräinen , Jarno Nikkanen , Jiri Matas

In this paper, we propose and analyse a family of generalised stochastic composite mirror descent algorithms. With adaptive step sizes, the proposed algorithms converge without requiring prior knowledge of the problem. Combined with an…

最优化与控制 · 数学 2022-11-22 Weijia Shao , Fikret Sivrikaya , Sahin Albayrak

Low noise CCDs fully-depleted up to 675 micrometers have been identified as a unique tool for Dark Matter searches and low energy neutrino physics. The charge collection efficiency (CCE) for these detectors is a critical parameter for the…

We propose a novel method for Zero-Shot Anomaly Localization on textures. The task refers to identifying abnormal regions in an otherwise homogeneous image. To obtain a high-fidelity localization, we leverage a bijective mapping derived…

计算机视觉与模式识别 · 计算机科学 2023-12-05 Andrei-Timotei Ardelean , Tim Weyrich

Sparsity-constrained optimization underlies many problems in signal processing, statistics, and machine learning. State-of-the-art hard-thresholding (HT) algorithms rely on an appropriately selected continuous step-size parameter to ensure…

机器学习 · 统计学 2026-05-13 Jin Zhu , Junxian Zhu , Zezhi Wang , Borui Tang , Hongmei Lin , Xueqin Wang

We consider sparse matrix estimation where the goal is to estimate an $n\times n$ matrix from noisy observations of a small subset of its entries. We analyze the estimation error of the popularly utilized collaborative filtering algorithm…

统计理论 · 数学 2025-07-29 Christian Borgs , Jennifer Chayes , Devavrat Shah , Christina Lee Yu

Finding the solutions to a system of multivariate polynomial equations is a fundamental problem in mathematics and computer science. It involves evaluating the polynomials at many points, often chosen from a grid. In most current methods,…

计算几何 · 计算机科学 2024-06-17 Guillaume Moroz

We present a proof-of-concept of a novel and fully Bayesian methodology designed to detect halos of different masses in cosmological observations subject to noise and systematic uncertainties. Our methodology combines the previously…

宇宙学与河外天体物理 · 物理学 2016-06-08 Alexander I. Merson , Jens Jasche , Filipe B. Abdalla , Ofer Lahav , Benjamin Wandelt , D. Heath Jones , Matthew Colless

Change-point detection (CPD) aims to locate abrupt transitions in the generative model of a sequence of observations. When Bayesian methods are considered, the standard practice is to infer the posterior distribution of the change-point…

机器学习 · 统计学 2019-10-23 Pablo Moreno-Muñoz , David Ramírez , Antonio Artés-Rodríguez

A standard one-stage detector is comprised of two tasks: classification and regression. Anchors of different shapes are introduced for each location in the feature map to mitigate the challenge of regression for multi-scale objects.…

计算机视觉与模式识别 · 计算机科学 2020-09-11 Lei Chen , Qi Qian , Hao Li

We propose a new method for constructing elimination templates for efficient polynomial system solving of minimal problems in structure from motion, image matching, and camera tracking. We first construct a particular affine…

计算机视觉与模式识别 · 计算机科学 2022-03-29 Evgeniy Martyushev , Jana Vrablikova , Tomas Pajdla

We introduce a new framework for unifying and systematizing the performance analysis of first-order black-box optimization algorithms for unconstrained convex minimization. The low-cost iteration complexity enjoyed by first-order algorithms…

最优化与控制 · 数学 2021-06-23 Sandra S. Y. Tan , Antonios Varvitsiotis , Vincent Y. F. Tan

State-of-the-art detection systems are generally evaluated on their ability to exhaustively retrieve objects densely distributed in the image, across a wide variety of appearances and semantic categories. Orthogonal to this, many real-life…

计算机视觉与模式识别 · 计算机科学 2020-04-28 Amelie Royer , Christoph H. Lampert
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