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Adversarial training is a widely adopted strategy to bolster the robustness of neural network models against adversarial attacks. This paper revisits the fundamental assumptions underlying image classification and suggests that representing…

计算机视觉与模式识别 · 计算机科学 2025-11-27 Erh-Chung Chen , Che-Rung Lee

We develop two new proximal alternating penalty algorithms to solve a wide range class of constrained convex optimization problems. Our approach mainly relies on a novel combination of the classical quadratic penalty, alternating…

最优化与控制 · 数学 2018-09-20 Quoc Tran-Dinh

The ELM method has become widely used for classification and regressions problems as a result of its accuracy, simplicity and ease of use. The solution of the hidden layer weights by means of a matrix pseudoinverse operation is a…

神经与进化计算 · 计算机科学 2014-06-02 André van Schaik , Jonathan Tapson

In this paper, we develop a self-adaptive ADMM that updates the penalty parameter adaptively. When one part of the objective function is strongly convex i.e., the problem is semi-strongly convex, our algorithm can update the penalty…

最优化与控制 · 数学 2023-10-03 Tianyun Tang , Kim-Chuan Toh

Low-rank Deconvolution (LRD) has appeared as a new multi-dimensional representation model that enjoys important efficiency and flexibility properties. In this work we ask ourselves if this analytical model can compete against Deep Learning…

计算机视觉与模式识别 · 计算机科学 2024-06-18 David Reixach , Josep Ramon Morros

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

最优化与控制 · 数学 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

In this paper, we propose and analyze an inexact version of the symmetric proximal alternating direction method of multipliers (ADMM) for solving linearly constrained optimization problems. Basically, the method allows its first subproblem…

最优化与控制 · 数学 2020-06-05 Vando A. Adona , Max L. N. Gonçalves

In this paper, we address the inverse problem of fast, stable, and high-quality wavefront reconstruction from pyramid wavefront sensor data for Adaptive Optics systems on Extremely Large Telescopes. For solving the indicated problem we…

天体物理仪器与方法 · 物理学 2019-05-01 Victoria Hutterer , Ronny Ramlau , Iuliia Shatokhina

In this paper, we explore a novel image matting task aimed at achieving efficient inference under various computational cost constraints, specifically FLOP limitations, using a single matting network. Existing matting methods which have not…

计算机视觉与模式识别 · 计算机科学 2025-03-06 Qinglin Liu , Zonglin Li , Xiaoqian Lv , Xin Sun , Ru Li , Shengping Zhang

In this paper, we present and analyze a new set of low-rank recovery algorithms for linear inverse problems within the class of hard thresholding methods. We provide strategies on how to set up these algorithms via basic ingredients for…

数值分析 · 计算机科学 2013-01-15 Anastasios Kyrillidis , Volkan Cevher

Artificial neural networks (ANNs) require tremendous amount of data to train on. However, in classification models, most data features are often similar which can lead to increase in training time without significant improvement in the…

机器学习 · 计算机科学 2023-03-03 Sreelekha Guggilam , Varun Chandola , Abani Patra

This work proposes a general learned proximal alternating minimization algorithm, LPAM, for solving learnable two-block nonsmooth and nonconvex optimization problems. We tackle the nonsmoothness by an appropriate smoothing technique with…

最优化与控制 · 数学 2026-03-10 Yunmei Chen , Lezhi Liu , Lei Zhang

In recent years, deep learning based visual tracking methods have obtained great success owing to the powerful feature representation ability of Convolutional Neural Networks (CNNs). Among these methods, classification-based tracking…

计算机视觉与模式识别 · 计算机科学 2020-02-10 Yihan Du , Yan Yan , Si Chen , Yang Hua

We present a new method, called Analysis-of-marginal-Tail-Means (ATM), for effective robust optimization of discrete black-box problems. ATM has important applications to many real-world engineering problems (e.g., manufacturing…

统计方法学 · 统计学 2018-10-23 Simon Mak , C. F. Jeff Wu

Anomaly detection (AD) aims to identify defective images and localize their defects (if any). Ideally, AD models should be able to detect defects over many image classes; without relying on hard-coded class names that can be uninformative…

计算机视觉与模式识别 · 计算机科学 2024-04-01 Chih-Hui Ho , Kuan-Chuan Peng , Nuno Vasconcelos

Projected gradient descent and its Riemannian variant belong to a typical class of methods for low-rank matrix estimation. This paper proposes a new Nesterov's Accelerated Riemannian Gradient algorithm by efficient orthographic retraction…

最优化与控制 · 数学 2023-06-05 Hongyi Li , Zhen Peng , Chengwei Pan , Di Zhao

In this paper we accomplish the development of the fast rank-adaptive solver for tensor-structured symmetric positive definite linear systems in higher dimensions. In [arXiv:1301.6068] this problem is approached by alternating minimization…

数值分析 · 数学 2014-10-07 Sergey V. Dolgov , Dmitry V. Savostyanov

Deterministic approaches using iterative optimisation have been historically successful in diffeomorphic image registration (DiffIR). Although these approaches are highly accurate, they typically carry a significant computational burden.…

Adaptive regularization methods pre-multiply a descent direction by a preconditioning matrix. Due to the large number of parameters of machine learning problems, full-matrix preconditioning methods are prohibitively expensive. We show how…

机器学习 · 计算机科学 2020-11-19 Naman Agarwal , Brian Bullins , Xinyi Chen , Elad Hazan , Karan Singh , Cyril Zhang , Yi Zhang

We propose a novel approach for detecting change points in high-dimensional linear regression models. Unlike previous research that relied on strict Gaussian/sub-Gaussian error assumptions and had prior knowledge of change points, we…

统计方法学 · 统计学 2024-05-22 Bin Liu , Zhengling Qi , Xinsheng Zhang , Yufeng Liu
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