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The matrix low-rank approximation problem with additional convex constraints can find many applications and has been extensively studied before. However, this problem is shown to be nonconvex and NP-hard; most of the existing solutions are…

Numerical Analysis · Computer Science 2015-12-08 Ying Zhang

Inspired by the combination of feedforward and iterative computations in the virtual cortex, and taking advantage of the ability of denoising autoencoders to estimate the score of a joint distribution, we propose a novel approach to…

Computer Vision and Pattern Recognition · Computer Science 2017-08-22 Adriana Romero , Michal Drozdzal , Akram Erraqabi , Simon Jégou , Yoshua Bengio

In this paper, we present a differential privacy version of convex and nonconvex sparse classification approach. Based on alternating direction method of multiplier (ADMM) algorithm, we transform the solving of sparse problem into the…

Machine Learning · Statistics 2019-08-05 Puyu Wang , Hai Zhang

Recently, there has been an increasing interest in using tools from dynamical systems to analyze the behavior of simple optimization algorithms such as gradient descent and accelerated variants. This paper strengthens such connections by…

Optimization and Control · Mathematics 2018-08-02 Guilherme França , Daniel P. Robinson , René Vidal

Deep neural networks have been remarkable successful in various AI tasks but often cast high computation and energy cost for energy-constrained applications such as mobile sensing. We address this problem by proposing a novel framework that…

Machine Learning · Computer Science 2017-10-11 Jiaqi Guan , Yang Liu , Qiang Liu , Jian Peng

In computer vision, multi-label recognition are important tasks with many real-world applications, but classifying previously unseen labels remains a significant challenge. In this paper, we propose a novel algorithm, Aligned Dual moDality…

Computer Vision and Pattern Recognition · Computer Science 2023-10-10 Shichao Xu , Yikang Li , Jenhao Hsiao , Chiuman Ho , Zhu Qi

Feature learning forms the cornerstone for tackling challenging learning problems in domains such as speech, computer vision and natural language processing. In this paper, we consider a novel class of matrix and tensor-valued features,…

Machine Learning · Computer Science 2014-12-12 Majid Janzamin , Hanie Sedghi , Anima Anandkumar

The classical vector autoregressive model is a fundamental tool for multivariate time series analysis. However, it involves too many parameters when the number of time series and lag order are even moderately large. This paper proposes to…

Methodology · Statistics 2020-11-04 Di Wang , Yao Zheng , Heng Lian , Guodong Li

We propose an efficient ADMM method with guarantees for high-dimensional problems. We provide explicit bounds for the sparse optimization problem and the noisy matrix decomposition problem. For sparse optimization, we establish that the…

Machine Learning · Computer Science 2015-07-08 Hanie Sedghi , Anima Anandkumar , Edmond Jonckheere

This paper proposes a two-level distributed algorithmic framework for solving the AC optimal power flow (OPF) problem with convergence guarantees. The presence of highly nonconvex constraints in OPF poses significant challenges to…

Optimization and Control · Mathematics 2021-06-14 Kaizhao Sun , Xu Andy Sun

We propose a method that enables practitioners to conveniently incorporate custom non-decomposable performance metrics into differentiable learning pipelines, notably those based upon neural network architectures. Our approach is based on…

Machine Learning · Computer Science 2020-03-04 Rizal Fathony , J. Zico Kolter

In this paper, we present a new image segmentation method based on the concept of sparse subset selection. Starting with an over-segmentation, we adopt local spectral histogram features to encode the visual information of the small segments…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Fariba Zohrizadeh , Mohsen Kheirandishfard , Farhad Kamangar

In this paper, we consider smooth convex optimization problems with simple constraints and inexactness in the oracle information such as value, partial or directional derivatives of the objective function. We introduce a unifying framework,…

Optimization and Control · Mathematics 2020-12-17 Pavel Dvurechensky , Alexander Gasnikov , Alexander Tiurin , Vladimir Zholobov

Minimisation of discrete energies defined over factors is an important problem in computer vision, and a vast number of MAP inference algorithms have been proposed. Different inference algorithms perform better on factor graph models (GMs)…

Computer Vision and Pattern Recognition · Computer Science 2016-08-10 Paul Henderson , Vittorio Ferrari

Efficient estimation of high-dimensional matrices-including covariance and precision matrices-is a cornerstone of modern multivariate statistics. Most existing studies have focused primarily on the theoretical properties of the estimators…

Machine Learning · Computer Science 2026-03-31 Wan Tian , Hui Yang , Zhouhui Lian , Lingyue Zhang , Yijie Peng

This University of Rochester Physics Ph.D. dissertation introduces concepts in compressive sensing, quantum entanglement, FMCW LiDAR, and quantum data locking. Additionally, the appendix serves as a thorough reference for those interested…

Quantum Physics · Physics 2018-06-07 Daniel J. Lum

The high computational complexity and energy consumption of artificial intelligence (AI) algorithms hinder their application in augmented reality (AR) systems. However, mobile edge computing (MEC) makes it possible to solve this problem.…

Networking and Internet Architecture · Computer Science 2023-01-04 Guangjin Pan , Heng Zhang , Shugong Xu , Shunqing Zhang , Xiaojing Chen

In this paper we demonstrate a new technique for deriving discrete adjoint and tangent linear models of finite element models. The technique is significantly more efficient and automatic than standard algorithmic differentiation techniques.…

Mathematical Software · Computer Science 2013-10-17 Patrick E. Farrell , David A. Ham , Simon F. Funke , Marie E. Rognes

Continual Learning aims to learn from a stream of tasks, being able to remember at the same time both new and old tasks. While many approaches were proposed for single-class classification, multi-label classification in the continual…

Machine Learning · Computer Science 2022-08-09 Davide Dalle Pezze , Denis Deronjic , Chiara Masiero , Diego Tosato , Alessandro Beghi , Gian Antonio Susto

This paper proposes a novel deep architecture to address multi-label image recognition, a fundamental and practical task towards general visual understanding. Current solutions for this task usually rely on an extra step of extracting…

Computer Vision and Pattern Recognition · Computer Science 2017-11-09 Zhouxia Wang , Tianshui Chen , Guanbin Li , Ruijia Xu , Liang Lin
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