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Robust principal component analysis (RPCA) seeks a low-rank component and a sparse component from their summation. Yet, in many applications of interest, the sparse foreground actually replaces, or occludes, elements from the low-rank…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Yinjian Wang , Wei Li , Yuanyuan Gui , James E. Fowler , Gemine Vivone

Contrastive learning has been shown to produce generalizable representations of audio and visual data by maximizing the lower bound on the mutual information (MI) between different views of an instance. However, obtaining a tight lower…

Machine Learning · Computer Science 2021-04-20 Shuang Ma , Zhaoyang Zeng , Daniel McDuff , Yale Song

Contrastive learning, which aims at minimizing the distance between positive pairs while maximizing that of negative ones, has been widely and successfully applied in unsupervised feature learning, where the design of positive and negative…

Computer Vision and Pattern Recognition · Computer Science 2021-08-09 Rui Zhu , Bingchen Zhao , Jingen Liu , Zhenglong Sun , Chang Wen Chen

Anomaly detection in imbalanced datasets is a frequent and crucial problem, especially in the medical domain where retrieving and labeling irregularities is often expensive. By combining the generative stability of a $\beta$-variational…

Machine Learning · Computer Science 2023-10-30 Fiete Lüer , Tobias Weber , Maxim Dolgich , Christian Böhm

In this paper, we propose a one-stage online clustering method called Contrastive Clustering (CC) which explicitly performs the instance- and cluster-level contrastive learning. To be specific, for a given dataset, the positive and negative…

Machine Learning · Computer Science 2020-09-22 Yunfan Li , Peng Hu , Zitao Liu , Dezhong Peng , Joey Tianyi Zhou , Xi Peng

Visual counterfactual explanations are ideal hypothetical images that change the decision-making of the classifier with high confidence toward the desired class while remaining visually plausible and close to the initial image. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Tung Luu , Nam Le , Duc Le , Bac Le

We systematically study antithetic initial noise in diffusion models, discovering that pairing each noise sample with its negation consistently produces strong negative correlation. This universal phenomenon holds across datasets, model…

Machine Learning · Computer Science 2026-02-02 Jing Jia , Sifan Liu , Bowen Song , Wei Yuan , Liyue Shen , Guanyang Wang

Contrastive Analysis VAE (CA-VAEs) is a family of Variational auto-encoders (VAEs) that aims at separating the common factors of variation between a background dataset (BG) (i.e., healthy subjects) and a target dataset (TG) (i.e., patients)…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Robin Louiset , Edouard Duchesnay , Antoine Grigis , Benoit Dufumier , Pietro Gori

We revisit the replica method for analyzing inference and learning in parametric models, considering situations where the data-generating distribution is unknown or analytically intractable. Instead of assuming idealized distributions to…

Disordered Systems and Neural Networks · Physics 2025-11-17 Takashi Takahashi

Variational autoencoders (VAEs) are one of the powerful likelihood-based generative models with applications in many domains. However, they struggle to generate high-quality images, especially when samples are obtained from the prior…

Machine Learning · Computer Science 2021-11-05 Jyoti Aneja , Alexander Schwing , Jan Kautz , Arash Vahdat

In this paper, we introduce VACA, a novel class of variational graph autoencoders for causal inference in the absence of hidden confounders, when only observational data and the causal graph are available. Without making any parametric…

Machine Learning · Statistics 2021-10-29 Pablo Sanchez-Martin , Miriam Rateike , Isabel Valera

Variational Graph Auto-Encoders (VGAEs) have been widely used to solve the node clustering task. However, the state-of-the-art methods have numerous challenges. First, existing VGAEs do not account for the discrepancy between the inference…

Machine Learning · Computer Science 2023-12-29 Nairouz Mrabah , Mohamed Bouguessa , Riadh Ksantini

Canonical correlation analysis (CCA) is a powerful technique for discovering whether or not hidden sources are commonly present in two (or more) datasets. Its well-appreciated merits include dimensionality reduction, clustering,…

Machine Learning · Computer Science 2018-08-15 Jia Chen , Gang Wang , Yanning Shen , Georgios B. Giannakis

The choice of negative examples is important in noise contrastive estimation. Recent works find that hard negatives -- highest-scoring incorrect examples under the model -- are effective in practice, but they are used without a formal…

Computation and Language · Computer Science 2021-04-14 Wenzheng Zhang , Karl Stratos

This paper proposes to use set features for detecting anomalies in samples that consist of unusual combinations of normal elements. Many leading methods discover anomalies by detecting an unusual part of a sample. For example,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Niv Cohen , Issar Tzachor , Yedid Hoshen

Video summarization aims to select the most informative subset of frames in a video to facilitate efficient video browsing. Unsupervised methods usually rely on heuristic training objectives such as diversity and representativeness.…

Computer Vision and Pattern Recognition · Computer Science 2022-11-21 Zongshang Pang , Yuta Nakashima , Mayu Otani , Hajime Nagahara

This work aims at performing Functional Principal Components Analysis (FPCA) with Horvitz-Thompson estimators when the observations are curves collected with survey sampling techniques. One important motivation for this study is that FPCA…

Statistics Theory · Mathematics 2009-12-19 Hervé Cardot , Mohamed Chaouch , Camelia Goga , Catherine Labruère

Linear principal component analysis (PCA) can be extended to a nonlinear PCA by using artificial neural networks. But the benefit of curved components requires a careful control of the model complexity. Moreover, standard techniques for…

Machine Learning · Computer Science 2012-04-04 Matthias Scholz

Principal component analysis (PCA) is a classical and ubiquitous method for reducing data dimensionality, but it is suboptimal for heterogeneous data that are increasingly common in modern applications. PCA treats all samples uniformly so…

Statistics Theory · Mathematics 2021-12-02 David Hong , Kyle Gilman , Laura Balzano , Jeffrey A. Fessler

Recent empirical works have successfully used unlabeled data to learn feature representations that are broadly useful in downstream classification tasks. Several of these methods are reminiscent of the well-known word2vec embedding…

Machine Learning · Computer Science 2019-02-26 Sanjeev Arora , Hrishikesh Khandeparkar , Mikhail Khodak , Orestis Plevrakis , Nikunj Saunshi