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Stochastic gradient descent (SGD) is a fundamental optimization algorithm widely used in modern machine learning. In this paper, we propose Factor-Augmented SGD (FSGD), a new optimization method that leverages latent factor representations…

Machine Learning · Statistics 2026-05-20 Shubo Li , Yuefeng Han , Xiufan Yu

Online changepoint detection aims to detect anomalies and changes in real-time in high-frequency data streams, sometimes with limited available computational resources. This is an important task that is rooted in many real-world…

Methodology · Statistics 2024-01-12 Gaetano Romano , Idris A Eckley , Paul Fearnhead

Effective feature selection is essential for high-dimensional data analysis and machine learning. Unsupervised feature selection (UFS) aims to simultaneously cluster data and identify the most discriminative features. Most existing UFS…

Machine Learning · Statistics 2026-03-23 Feng Yu , MD Saifur Rahman Mazumder , Ying Su , Oscar Contreras Velasco

Fourier Ptychographic Microscopy (FPM) is a computational imaging technique that enables high-resolution imaging over a large field of view. However, its application in the biomedical field has been limited due to the long image…

Image and Video Processing · Electrical Eng. & Systems 2024-08-27 Ruiqing Sun , Delong Yang , Yiyan Su , Shaohui Zhang , Qun Hao

We propose a new iterative optimization method for the {\bf Data-Fitting} (DF) problem in Machine Learning, e.g. Neural Network (NN) training. The approach relies on {\bf Graphical Model} (GM) representation of the DF problem, where…

Machine Learning · Computer Science 2021-02-17 Francesco Concetti , Michael Chertkov

Online learning, where feature spaces can change over time, offers a flexible learning paradigm that has attracted considerable attention. However, it still faces three significant challenges. First, the heterogeneity of real-world data…

Machine Learning · Computer Science 2025-07-17 Shengda Zhuo , Di Wu , Yi He , Shuqiang Huang , Xindong Wu

This paper proposes and studies a detection technique for adversarial scenarios (dubbed deterministic detection). This technique provides an alternative detection methodology in case the usual stochastic methods are not applicable: this can…

Machine Learning · Computer Science 2017-11-08 Kristiaan Pelckmans

To define a steepest descent method over a neural network, we need to choose a norm for each layer, a way to aggregate these norms across layers, and whether to use normalization. We systematically explore different alternatives for…

Machine Learning · Computer Science 2025-10-14 Michael Crawshaw , Chirag Modi , Mingrui Liu , Robert M. Gower

Online map matching is a fundamental problem in location-based services, aiming to incrementally match trajectory data step-by-step onto a road network. However, existing methods fail to meet the needs for efficiency, robustness, and…

Machine Learning · Computer Science 2025-03-21 Minxiao Chen , Haitao Yuan , Nan Jiang , Zhihan Zheng , Sai Wu , Ao Zhou , Shangguang Wang

We consider distributed optimization under communication constraints for training deep learning models. We propose a new algorithm, whose parameter updates rely on two forces: a regular gradient step, and a corrective direction dictated by…

Machine Learning · Computer Science 2022-04-29 Yunfei Teng , Wenbo Gao , Francois Chalus , Anna Choromanska , Donald Goldfarb , Adrian Weller

Deep neural networks are widely used prediction algorithms whose performance often improves as the number of weights increases, leading to over-parametrization. We consider a two-layered neural network whose first layer is frozen while the…

Machine Learning · Computer Science 2023-04-10 Roman Worschech , Bernd Rosenow

Software fault localization remains challenging due to limited feature diversity and low precision in traditional methods. This paper proposes a novel approach that integrates multi-objective optimization with deep learning models to…

Software Engineering · Computer Science 2024-11-27 Xiaolei Hu , Dongcheng Li , W. Eric Wong , Ya Zou

The unsupervised anomaly localization task faces the challenge of missing anomaly sample training, detecting multiple types of anomalies, and dealing with the proportion of the area of multiple anomalies. A separate teacher-student feature…

Computer Vision and Pattern Recognition · Computer Science 2022-12-14 Chao Hu , Shengxin Lai

Stochastic Gradient Decent (SGD) is one of the core techniques behind the success of deep neural networks. The gradient provides information on the direction in which a function has the steepest rate of change. The main problem with basic…

This paper proposes a novel analysis for the Scaffold algorithm, a popular method for dealing with data heterogeneity in federated learning. While its convergence in deterministic settings--where local control variates mitigate client…

Machine Learning · Statistics 2025-03-11 Paul Mangold , Alain Durmus , Aymeric Dieuleveut , Eric Moulines

Deep Convolutional Neural Networks (DCNNs) and their variants have been widely used in large scale face recognition(FR) recently. Existing methods have achieved good performance on many FR benchmarks. However, most of them suffer from two…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Jing Xu , Tszhang Guo , Yong Xu , Zenglin Xu , Kun Bai

Classical worst-case optimization theory neither explains the success of optimization in machine learning, nor does it help with step size selection. In this paper we demonstrate the viability and advantages of replacing the classical…

Optimization and Control · Mathematics 2024-10-16 Felix Benning , Leif Döring

Block coordinate descent (BCD) methods are prevalent in large scale optimization problems due to the low memory and computational costs per iteration, the predisposition to parallelization, and the ability to exploit the structure of the…

Optimization and Control · Mathematics 2025-10-31 Luis Briceño-Arias , Paulo Gonçalves , Guillaume Lauga , Nelly Pustelnik , Elisa Riccietti

In recent years, the increasing size of deep learning models and their growing demand for computational resources have drawn significant attention to the practice of pruning neural networks, while aiming to preserve their accuracy. In…

Computer Vision and Pattern Recognition · Computer Science 2024-11-11 Lingkai Zhu , Can Deniz Bezek , Orcun Goksel

Multispectral point cloud (MPC) captures 3D spatial-spectral information from the observed scene, which can be used for scene understanding and has a wide range of applications. However, most of the existing classification methods were…

Computer Vision and Pattern Recognition · Computer Science 2025-07-24 TianZhu Liu , BangYan Hu , YanFeng Gu , Xian Li , Aleksandra Pižurica