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Data augmentation is a dominant method for reducing model overfitting and improving generalization. Most existing data augmentation methods tend to find a compromise in augmenting the data, \textit{i.e.}, increasing the amplitude of…

Computer Vision and Pattern Recognition · Computer Science 2023-10-17 Zehao Wang , Yiwen Guo , Qizhang Li , Guanglei Yang , Wangmeng Zuo

Reliable and accurate estimation of the error of an ML model in unseen test domains is an important problem for safe intelligent systems. Prior work uses disagreement discrepancy (DIS^2) to derive practical error bounds under distribution…

Machine Learning · Computer Science 2025-06-19 Aayush Mishra , Anqi Liu

Segmentation of overlapping convex objects has various applications, for example, in nanoparticles and cell imaging. Often the segmentation method has to rely purely on edges between the background and foreground making the analyzed images…

Computer Vision and Pattern Recognition · Computer Science 2019-06-05 Sahar Zafari , Mariia Murashkina , Tuomas Eerola , Jouni Sampo , Heikki Kälviäinen , Heikki Haario

This paper proposes some efficient and accurate adaptive two-grid (ATG) finite element algorithms for linear and nonlinear partial differential equations (PDEs). The main idea of these algorithms is to utilize the solutions on the $k$-th…

Numerical Analysis · Mathematics 2020-09-22 Yukun Li , Yi Zhang

Graph-level representation learning is important in a wide range of applications. Existing graph-level models are generally built on i.i.d. assumption for both training and testing graphs. However, in an open world, models can encounter…

Machine Learning · Computer Science 2024-07-19 Zhihao Ding , Jieming Shi , Shiqi Shen , Xuequn Shang , Jiannong Cao , Zhipeng Wang , Zhi Gong

The stochastic gradient (SG) method can minimize an objective function composed of a large number of differentiable functions, or solve a stochastic optimization problem, to a moderate accuracy. The block coordinate descent/update (BCD)…

Optimization and Control · Mathematics 2015-11-23 Yangyang Xu , Wotao Yin

The challenge of imbalanced learning lies not only in class imbalance problem, but also in the class overlapping problem which is complex. However, most of the existing algorithms mainly focus on the former. The limitation prevents the…

Machine Learning · Computer Science 2022-12-07 Fan Li , Bo Wang , Pin Wang , Yongming Li

Gradient methods are experiencing a growth in methodological and theoretical developments owing to the challenges posed by optimization problems arising in data science. However, such gradient methods face diverging optimality gaps or…

Optimization and Control · Mathematics 2024-04-17 Christian Varner , Vivak Patel

Outlier detection is a key field of machine learning for identifying abnormal data objects. Due to the high expense of acquiring ground truth, unsupervised models are often chosen in practice. To compensate for the unstable nature of…

Machine Learning · Computer Science 2020-02-11 Yue Zhao , Xueying Ding , Jianing Yang , Haoping Bai

Compressed Stochastic Gradient Descent (SGD) algorithms have been recently proposed to address the communication bottleneck in distributed and decentralized optimization problems, such as those that arise in federated machine learning.…

Machine Learning · Statistics 2022-07-21 Adarsh M. Subramaniam , Akshayaa Magesh , Venugopal V. Veeravalli

Existing ordinal embedding methods usually follow a two-stage routine: outlier detection is first employed to pick out the inconsistent comparisons; then an embedding is learned from the clean data. However, learning in a multi-stage manner…

Machine Learning · Computer Science 2018-12-06 Ke Ma , Qianqian Xu , Xiaochun Cao

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…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Amelie Royer , Christoph H. Lampert

A fundamental problem in the analysis of network data is the detection of network communities, groups of densely interconnected nodes, which may be overlapping or disjoint. Here we describe a method for finding overlapping communities based…

Social and Information Networks · Computer Science 2015-03-19 Brian Ball , Brian Karrer , M. E. J. Newman

Epoch gradient descent method (a.k.a. Epoch-GD) proposed by Hazan and Kale (2011) was deemed a breakthrough for stochastic strongly convex minimization, which achieves the optimal convergence rate of $O(1/T)$ with $T$ iterative updates for…

Optimization and Control · Mathematics 2020-06-18 Yan Yan , Yi Xu , Qihang Lin , Wei Liu , Tianbao Yang

Motivated by the proliferation of Internet-of-Thing (IoT) devices and the rapid advances in the field of deep learning, there is a growing interest in pushing deep learning computations, conventionally handled by the cloud, to the edge of…

Machine Learning · Computer Science 2024-09-25 Marco Palena , Tania Cerquitelli , Carla Fabiana Chiasserini

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

Group testing enables the identification of a small subset of defective items within a larger population by performing tests on pools of items rather than on each item individually. Over the years, it has not only attracted attention from…

Information Theory · Computer Science 2026-01-13 Manuel Franco-Vivo

The unit commitment (UC) problem is a nonlinear, high-dimensional, highly constrained, mixed-integer power system optimization problem and is generally solved in the literature considering minimizing the system operation cost as the only…

Neural and Evolutionary Computing · Computer Science 2014-10-24 Anupam Trivedi , Kunal Pal , Chiranjib Saha , Dipti Srinivasan

Communication-efficient SGD algorithms, which allow nodes to perform local updates and periodically synchronize local models, are highly effective in improving the speed and scalability of distributed SGD. However, a rigorous convergence…

Machine Learning · Computer Science 2019-01-28 Jianyu Wang , Gauri Joshi

Benders decomposition is one of the most applied methods to solve two-stage stochastic problems (TSSP) with a large number of scenarios. The main idea behind the Benders decomposition is to solve a large problem by replacing the values of…

Optimization and Control · Mathematics 2022-11-24 Cristian Ramírez-Pico , Ivana Ljubić , Eduardo Moreno
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