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Since its inception, Benders Decomposition (BD) has been successfully applied to a wide range of large-scale mixed-integer (linear) problems. The key element of BD is the derivation of Benders cuts, which are often not unique. In this…

Optimization and Control · Mathematics 2024-05-21 Mojtaba Hosseini , John Turner

Expectation maximisation (EM) is an unsupervised learning method for estimating the parameters of a finite mixture distribution. It works by introducing "hidden" or "latent" variables via Baum's auxiliary function $Q$ that allow the joint…

Machine Learning · Computer Science 2022-05-19 Graham W. Pulford

Recent multimodal models such as Contrastive Language-Image Pre-training (CLIP) have shown remarkable ability to align visual and linguistic representations. However, domains where small visual differences carry large semantic significance,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Hiroshi Sasaki

In seismic interpretation, pixel-level labels of various rock structures can be time-consuming and expensive to obtain. As a result, there oftentimes exists a non-trivial quantity of unlabeled data that is left unused simply because…

Computer Vision and Pattern Recognition · Computer Science 2022-06-17 Kiran Kokilepersaud , Mohit Prabhushankar , Ghassan AlRegib

The paper proposes a systematic framework for building data-driven stochastic differential equation (SDE) models from sparse, noisy observations. Unlike traditional parametric approaches, which assume a known functional form for the drift,…

Machine Learning · Statistics 2025-08-18 Arnab Ganguly , Riten Mitra , Jinpu Zhou

In this paper, we explore an efficient variant of convolutional sparse coding with unit norm code vectors where reconstruction quality is evaluated using an inner product (cosine distance). To use these codes for discriminative…

Computer Vision and Pattern Recognition · Computer Science 2017-10-06 Bailey Kong , Charless C. Fowlkes

Mitochondria segmentation in electron microscopy images is essential in neuroscience. However, due to the image degradation during the imaging process, the large variety of mitochondrial structures, as well as the presence of noise,…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 Zhili Li , Xuejin Chen , Jie Zhao , Zhiwei Xiong

The likelihood function plays a crucial role in statistical inference and experimental design. However, it is computationally intractable for several important classes of statistical models, including energy-based models and simulator-based…

Machine Learning · Computer Science 2022-05-02 Michael U. Gutmann , Steven Kleinegesse , Benjamin Rhodes

Tremendous breakthroughs have been developed in Semi-Supervised Semantic Segmentation (S4) through contrastive learning. However, due to limited annotations, the guidance on unlabeled images is generated by the model itself, which…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Haoyu Xie , Changqi Wang , Jian Zhao , Yang Liu , Jun Dan , Chong Fu , Baigui Sun

A key requirement for the success of supervised deep learning is a large labeled dataset - a condition that is difficult to meet in medical image analysis. Self-supervised learning (SSL) can help in this regard by providing a strategy to…

Computer Vision and Pattern Recognition · Computer Science 2020-11-02 Krishna Chaitanya , Ertunc Erdil , Neerav Karani , Ender Konukoglu

Existing score-based methods for inverse problems often resort to approximate minimization of the KL divergence between the inversion distribution and the Bayesian posterior. Such an approximation leads to severe mode collapse and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Weimin Bai , Yuxuan Gu , Yifei Wang , Weijian Luo , He Sun

This paper presents Prototypical Contrastive Learning (PCL), an unsupervised representation learning method that addresses the fundamental limitations of instance-wise contrastive learning. PCL not only learns low-level features for the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Junnan Li , Pan Zhou , Caiming Xiong , Steven C. H. Hoi

Restricted Boltzmann Machines (RBMs) are general unsupervised learning devices to ascertain generative models of data distributions. RBMs are often trained using the Contrastive Divergence learning algorithm (CD), an approximation to the…

Neural and Evolutionary Computing · Computer Science 2015-07-27 E. Romero , F. Mazzanti , J. Delgado

Energy-based models (EBMs) are generative models inspired by statistical physics with a wide range of applications in unsupervised learning. Their performance is best measured by the cross-entropy (CE) of the model distribution relative to…

Machine Learning · Computer Science 2023-12-14 Davide Carbone , Mengjian Hua , Simon Coste , Eric Vanden-Eijnden

We generalize the theory of supervised contrastive learning, previously applied to physical systems at equilibrium or steady state, to systems following any dynamics described by coupled ordinary differential equations. We show that if…

Disordered Systems and Neural Networks · Physics 2026-03-31 Menachem Stern , Adam G. Frim , Raúl Candás , Andrea J. Liu , Vijay Balasubramanian

Whilst contrastive learning has recently brought notable benefits to deep clustering of unlabelled images by learning sample-specific discriminative visual features, its potential for explicitly inferring class decision boundaries is less…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Jiabo Huang , Shaogang Gong

Federated learning is widely used to perform decentralized training of a global model on multiple devices while preserving the data privacy of each device. However, it suffers from heterogeneous local data on each training device which…

Machine Learning · Computer Science 2023-01-18 Sirui Hu , Ling Feng , Xiaohan Yang , Yongchao Chen

Recent methods for deep metric learning have been focusing on designing different contrastive loss functions between positive and negative pairs of samples so that the learned feature embedding is able to pull positive samples of the same…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Shichao Kan , Zhiquan He , Yigang Cen , Yang Li , Vladimir Mladenovic , Zhihai He

We address the problem of generalized category discovery (GCD) that aims to partition a partially labeled collection of images; only a small part of the collection is labeled and the total number of target classes is unknown. To address…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Sua Choi , Dahyun Kang , Minsu Cho

By exploiting the property that the RBM log-likelihood function is the difference of convex functions, we formulate a stochastic variant of the difference of convex functions (DC) programming to minimize the negative log-likelihood.…

Machine Learning · Computer Science 2017-10-06 Vidyadhar Upadhya , P. S. Sastry
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