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Many scientific fields study data with an underlying structure that is a non-Euclidean space. Some examples include social networks in computational social sciences, sensor networks in communications, functional networks in brain imaging,…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Michael M. Bronstein , Joan Bruna , Yann LeCun , Arthur Szlam , Pierre Vandergheynst

We review the main applications of machine learning models that are not fully supervised in particle physics, i.e., clustering, anomaly detection, detector simulation, and unfolding. Unsupervised methods are ideal for anomaly detection…

High Energy Physics - Phenomenology · Physics 2024-10-24 Jai Bardhan , Tanumoy Mandal , Subhadip Mitra , Cyrin Neeraj , Monalisa Patra

Semi-supervised segmentation tackles the scarcity of annotations by leveraging unlabeled data with a small amount of labeled data. A prominent way to utilize the unlabeled data is by consistency training which commonly uses a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Sukesh Adiga , Jose Dolz , Herve Lombaert

One of the ultimate goals of Manifold Learning (ML) is to reconstruct an unknown nonlinear low-dimensional manifold embedded in a high-dimensional observation space by a given set of data points from the manifold. We derive a local lower…

Machine Learning · Computer Science 2012-12-27 Alexander V. Bernstein , Alexander P. Kuleshov

Despite the importance of unsupervised object detection, to the best of our knowledge, there is no previous work addressing this problem. One main issue, widely known to the community, is that object boundaries derived only from 2D image…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Hao Tian , Yuntao Chen , Jifeng Dai , Zhaoxiang Zhang , Xizhou Zhu

Deep Metric Learning (DML) learns a non-linear semantic embedding from input data that brings similar pairs together while keeping dissimilar data away from each other. To this end, many different methods are proposed in the last decade…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Davood Zabihzadeh , Zahraa Alitbi , Seyed Jalaleddin Mousavirad

Modern machine learning increasingly leverages the insight that high-dimensional data often lie near low-dimensional, non-linear manifolds, an idea known as the manifold hypothesis. By explicitly modeling the geometric structure of data…

Machine Learning · Computer Science 2026-03-02 Willem Diepeveen , Deanna Needell

We propose a weakly-supervised multi-view learning approach to learn category-specific surface mapping without dense annotations. We learn the underlying surface geometry of common categories, such as human faces, cars, and airplanes, given…

Computer Vision and Pattern Recognition · Computer Science 2021-05-05 Nishant Rai , Aidas Liaudanskas , Srinivas Rao , Rodrigo Ortiz Cayon , Matteo Munaro , Stefan Holzer

Parameter prediction is essential for many applications, facilitating insightful interpretation and decision-making. However, in many real life domains, such as power systems, medicine, and engineering, it can be very expensive to acquire…

Machine Learning · Computer Science 2024-02-16 Zimeng Lyu , Alexander Ororbia , Rui Li , Travis Desell

Part-based image classification aims at representing categories by small sets of learned discriminative parts, upon which an image representation is built. Considered as a promising avenue a decade ago, this direction has been neglected…

Computer Vision and Pattern Recognition · Computer Science 2017-04-13 Ronan Sicre , Yannis Avrithis , Ewa Kijak , Frederic Jurie

We present a minimalistic but effective neural network that computes dense facial correspondences in highly unconstrained RGB images. Our network learns a per-pixel flow and a matchability mask between 2D input photographs of a person and…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Ronald Yu , Shunsuke Saito , Haoxiang Li , Duygu Ceylan , Hao Li

In many scientific disciplines structures in high-dimensional data have to be found, e.g., in stellar spectra, in genome data, or in face recognition tasks. In this work we present a novel approach to non-linear dimensionality reduction. It…

Machine Learning · Statistics 2011-09-27 Oliver Kramer

As a powerful modelling method, PieceWise Linear Neural Networks (PWLNNs) have proven successful in various fields, most recently in deep learning. To apply PWLNN methods, both the representation and the learning have long been studied. In…

Machine Learning · Computer Science 2022-06-22 Qinghua Tao , Li Li , Xiaolin Huang , Xiangming Xi , Shuning Wang , Johan A. K. Suykens

Deep metric learning (DML) is a popular approach for images retrieval, solving verification (same or not) problems and addressing open set classification. Arguably, the most common DML approach is with triplet loss, despite significant…

Machine Learning · Computer Science 2019-12-02 Istvan Fehervari , Avinash Ravichandran , Srikar Appalaraju

We present a novel self-taught framework for unsupervised metric learning, which alternates between predicting class-equivalence relations between data through a moving average of an embedding model and learning the model with the predicted…

Computer Vision and Pattern Recognition · Computer Science 2022-05-05 Sungyeon Kim , Dongwon Kim , Minsu Cho , Suha Kwak

In machine learning, data is usually represented in a (flat) Euclidean space where distances between points are along straight lines. Researchers have recently considered more exotic (non-Euclidean) Riemannian manifolds such as hyperbolic…

Machine Learning · Computer Science 2021-01-12 Marc T. Law , Jos Stam

Unsupervised learning based multi-scale exposure fusion (ULMEF) is efficient for fusing differently exposed low dynamic range (LDR) images into a higher quality LDR image for a high dynamic range (HDR) scene. Unlike supervised learning,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Chaobing Zheng , Shiqian Wu , Zhenggguo Li

Deep Metric Learning (DML) aims to learn embedding functions that map semantically similar inputs to proximate points in a metric space while separating dissimilar ones. Existing methods, such as pairwise losses, are hindered by complex…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Pedro Silva , Guilherme A. L. Silva , Pablo Coelho , Vander Freitas , Gladston Moreira , David Menotii , Eduardo Luz

Despite the great performance of deep learning models in many areas, they still make mistakes and underperform on certain subsets of data, i.e. error slices. Given a trained model, it is important to identify its semantically coherent error…

Machine Learning · Computer Science 2025-12-23 Han Yu , Hao Zou , Jiashuo Liu , Renzhe Xu , Yue He , Xingxuan Zhang , Peng Cui

Unsupervised clustering is one of the most fundamental challenges in machine learning. A popular hypothesis is that data are generated from a union of low-dimensional nonlinear manifolds; thus an approach to clustering is identifying and…

Machine Learning · Computer Science 2017-12-27 Dejiao Zhang , Yifan Sun , Brian Eriksson , Laura Balzano
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