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Robust PCA has drawn significant attention in the last decade due to its success in numerous application domains, ranging from bio-informatics, statistics, and machine learning to image and video processing in computer vision. Robust PCA…

最优化与控制 · 数学 2018-06-12 Shiqian Ma , Necdet Serhat Aybat

Recent work in robotic manipulation focuses on object retrieval in cluttered spaces under occlusion. Nevertheless, the majority of efforts lack an analysis of conditions for the completeness of the approaches or the methods apply only when…

机器人学 · 计算机科学 2022-09-22 Yinglong Miao , Rui Wang , Kostas Bekris

Deep learning is a rapidly-evolving technology with possibility to significantly improve physics reach of collider experiments. In this study we developed a novel algorithm of vertex finding for future lepton colliders such as the…

数据分析、统计与概率 · 物理学 2023-02-17 Kiichi Goto , Taikan Suehara , Tamaki Yoshioka , Masakazu Kurata , Hajime Nagahara , Yuta Nakashima , Noriko Takemura , Masako Iwasaki

This study focuses on constructing efficient rank-1 lattices that enable the exact integration and reconstruction of functions within Chebyshev spaces, based on finite lower index sets. We establish the equivalence of different…

数值分析 · 数学 2025-01-14 Abdelqoddous Moussa , Moulay Abdellah Chkifa

Programmable linear optical interferometers are important for classical and quantum information technologies, as well as for building hardware-accelerated artificial neural networks. Recent results showed the possibility of constructing…

光学 · 物理学 2023-07-10 B. I. Bantysh , K. G. Katamadze , A. Yu. Chernyavskiy , Yu. I. Bogdanov

Two-part reconstruction is a framework for signal recovery in compressed sensing (CS), in which the advantages of two different algorithms are combined. Our framework allows to accelerate the reconstruction procedure without compromising…

信息论 · 计算机科学 2013-09-12 Yanting Ma , Dror Baron , Deanna Needell

Selecting a connected subnetwork enriched in individually important vertices is an approach commonly used in many areas of bioinformatics, including analysis of gene expression data, mutations, metabolomic profiles and others. It can be…

数据结构与算法 · 计算机科学 2017-02-06 Javlon E. Isomurodov , Alexander A. Loboda , Alexey A. Sergushichev

This paper presents an explore-and-classify framework for structured architectural reconstruction from an aerial image. Starting from a potentially imperfect building reconstruction by an existing algorithm, our approach 1) explores the…

计算机视觉与模式识别 · 计算机科学 2021-08-19 Fuyang Zhang , Xiang Xu , Nelson Nauata , Yasutaka Furukawa

In the past decade, we had developed a series of splitting contraction algorithms for separable convex optimization problems, at the root of the alternating direction method of multipliers. Convergence of these algorithms was studied under…

最优化与控制 · 数学 2022-04-26 Bingsheng He , Xiaoming Yuan

Many real-world control systems, such as the smart grid and human sensorimotor control systems, have decentralized components that react quickly using local information and centralized components that react slowly using a more global view.…

最优化与控制 · 数学 2017-11-15 Gautam Goel , Niangjun Chen , Adam Wierman

Efficient arithmetic circuit design for resourceconstrained hardware involves challenging combinatorial optimization problems, among which Multiple Constant Multiplication (MCM) is a prominent example. MCM aims at implementing…

硬件体系结构 · 计算机科学 2026-05-26 Théo Cantaloube , Nicolai Fiege , Anastasia Volkova , Christine Solnon

Robust PCA is a widely used statistical procedure to recover a underlying low-rank matrix with grossly corrupted observations. This work considers the problem of robust PCA as a nonconvex optimization problem on the manifold of low-rank…

机器学习 · 统计学 2017-09-04 Teng Zhang , Yi Yang

Systematic testing of object-oriented software turned out to be much more complex than testing conventional software. Especially the highly incremental and iterative development cycle demands both many more changes and partially implemented…

软件工程 · 计算机科学 2007-05-23 Mario Winter

The classification of complex data usually requires the composition of processing steps. Here, a major challenge is the selection of optimal algorithms for preprocessing and classification (including parameterizations). Nowadays, parts of…

机器学习 · 计算机科学 2018-01-17 Mario Michael Krell

Existing procedures for model validation have been deemed inadequate for many engineering systems. The reason of this inadequacy is due to the high degree of complexity of the mechanisms that govern these systems. It is proposed in this…

人工智能 · 计算机科学 2007-05-23 A. Guergachi

We propose an algorithmic framework for computing sparse components from rotated principal components. This methodology, called SIMPCA, is useful to replace the unreliable practice of ignoring small coefficients of rotated components when…

统计方法学 · 统计学 2019-10-09 Giovanni Maria Merola

Purpose: The aim of this work is to develop a high-performance, flexible and easy-to-use MRI reconstruction framework using the scientific programming language Julia. Methods: Julia is a modern, general purpose programming language with…

医学物理 · 物理学 2021-03-22 Tobias Knopp , Mirco Grosser

The features of designing of reconstruction of the acting plant by its design department are considered: the results of work are drawings corresponding with the national standards; large number of the small projects for different acting…

计算工程、金融与科学 · 计算机科学 2007-05-23 Vladimir V. Migunov

We describe a framework for reformulating and solving optimization problems that generalizes the well-known framework originally introduced by Benders. We discuss details of the application of the procedures to several classes of…

最优化与控制 · 数学 2023-07-14 Suresh Bolusani , Ted K. Ralphs

Reproducibility of modeling is a problem that exists for any machine learning practitioner, whether in industry or academia. The consequences of an irreproducible model can include significant financial costs, lost time, and even loss of…

机器学习 · 计算机科学 2018-10-11 Peter Sugimura , Florian Hartl