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We consider Benders decomposition for solving two-stage stochastic programs with complete recourse based on finite samples of the uncertain parameters. We define the Benders cuts binding at the final optimal solution or the ones…

Optimization and Control · Mathematics 2020-10-16 Huiwen Jia , Siqian Shen

The dynamic mode decomposition (DMD) has become a leading tool for data-driven modeling of dynamical systems, providing a regression framework for fitting linear dynamical models to time-series measurement data. We present a simple…

Numerical Analysis · Mathematics 2017-04-11 Travis Askham , J. Nathan Kutz

Data in real-world application often exhibit skewed class distribution which poses an intense challenge for machine learning. Conventional classification algorithms are not effective in the case of imbalanced data distribution, and may fail…

Machine Learning · Computer Science 2019-01-08 Enlu Lin , Qiong Chen , Xiaoming Qi

Virtual Diagnostic (VD) is a computational tool based on deep learning that can be used to predict a diagnostic output. VDs are especially useful in systems where measuring the output is invasive, limited, costly or runs the risk of…

Accelerator Physics · Physics 2021-08-04 Owen Convery , Lewis Smith , Yarin Gal , Adi Hanuka

Cross-validation is the workhorse of modern applied statistics and machine learning, as it provides a principled framework for selecting the model that maximizes generalization performance. In this paper, we show that the cross-validation…

Machine Learning · Statistics 2018-05-21 Shane Barratt , Rishi Sharma

Twin Support Vector Machines (TWSVMs) have emerged an efficient alternative to Support Vector Machines (SVM) for learning from imbalanced datasets. The TWSVM learns two non-parallel classifying hyperplanes by solving a couple of smaller…

Machine Learning · Computer Science 2019-02-12 Jayadeva , Himanshu Pant , Sumit Soman , Mayank Sharma

We introduce a new Bayesian multi-class support vector machine by formulating a pseudo-likelihood for a multi-class hinge loss in the form of a location-scale mixture of Gaussians. We derive a variational-inference-based training objective…

Machine Learning · Computer Science 2018-06-08 Martin Wistuba , Ambrish Rawat

AI Safety is a major concern in many deep learning applications such as autonomous driving. Given a trained deep learning model, an important natural problem is how to reliably verify the model's prediction. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Tong Che , Xiaofeng Liu , Site Li , Yubin Ge , Ruixiang Zhang , Caiming Xiong , Yoshua Bengio

Clustering is among the most fundamental tasks in computer vision and machine learning. In this paper, we propose Variational Deep Embedding (VaDE), a novel unsupervised generative clustering approach within the framework of Variational…

Computer Vision and Pattern Recognition · Computer Science 2017-06-29 Zhuxi Jiang , Yin Zheng , Huachun Tan , Bangsheng Tang , Hanning Zhou

Deep convolution neural network has attracted many attentions in large-scale visual classification task, and achieves significant performance improvement compared to traditional visual analysis methods. In this paper, we explore many kinds…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Feifei Huang , Jie Li , Xuelin Zhu

Class imbalance is a challenging issue in practical classification problems for deep learning models as well as for traditional models. Traditionally successful countermeasures such as synthetic over-sampling have had limited success with…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 Kumari Deepshikha , Anugunj Naman

In this paper, we present a novel approach for training a Variational Autoencoder (VAE) on a highly imbalanced data set. The proposed training of a high-resolution VAE model begins with the training of a low-resolution core model, which can…

Computer Vision and Pattern Recognition · Computer Science 2019-12-19 Dmitry Utyamishev , Inna Partin-Vaisband

Existing traffic simulation models often fall short in capturing the intricacies of real-world scenarios, particularly the interactive behaviors among multiple traffic participants, thereby limiting their utility in the evaluation and…

Robotics · Computer Science 2026-02-03 Zhiyu Huang , Zixu Zhang , Ameya Vaidya , Yuxiao Chen , Chen Lv , Jaime Fernández Fisac

Class imbalance in a dataset is one of the major challenges that can significantly impact the performance of machine learning models resulting in biased predictions. Numerous techniques have been proposed to address class imbalanced…

Machine Learning · Computer Science 2022-10-25 Md Manjurul Ahsan , Md Shahin Ali , Zahed Siddique

Class-imbalance is one of the major challenges in real world datasets, where a few classes (called majority classes) constitute much more data samples than the rest (called minority classes). Learning deep neural networks using such…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Saptarshi Sinha , Hiroki Ohashi , Katsuyuki Nakamura

Anomaly Detection (AD), as a critical problem, has been widely discussed. In this paper, we specialize in one specific problem, Visual Defect Detection (VDD), in many industrial applications. And in practice, defect image samples are very…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Yapeng Teng , Haoyang Li , Fuzhen Cai , Ming Shao , Siyu Xia

Reliable training of generative adversarial networks (GANs) typically require massive datasets in order to model complicated distributions. However, in several applications, training samples obey invariances that are \textit{a priori}…

Imbalanced distribution learning is a common and significant challenge in predictive modeling, often reducing the performance of standard algorithms. Although various approaches address this issue, most are tailored to classification…

Machine Learning · Computer Science 2025-08-20 Samuel Stocksieker , Denys pommeret , Arthur Charpentier

Support vector machine (SVM) is a powerful machine learning algorithm to handle classification tasks. However, the classical SVM is developed for binary problems with the assumption of balanced datasets. Obviously, the multi-class…

Machine Learning · Computer Science 2025-02-21 Zhong-Liang Zhang , Jie Yang , Jian-Ming Ru , Xiao-Xi Zhao , Xing-Gang Luo

We introduce BSD-GAN, a novel multi-branch and scale-disentangled training method which enables unconditional Generative Adversarial Networks (GANs) to learn image representations at multiple scales, benefiting a wide range of generation…

Computer Vision and Pattern Recognition · Computer Science 2020-08-05 Zili Yi , Zhiqin Chen , Hao Cai , Wendong Mao , Minglun Gong , Hao Zhang