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We consider the problem of learning a set from random samples. We show how relevant geometric and topological properties of a set can be studied analytically using concepts from the theory of reproducing kernel Hilbert spaces. A new kind of…

Machine Learning · Statistics 2014-11-26 Ernesto De Vito , Lorenzo Rosasco , Alessandro Toigo

Modern neural network optimization relies heavily on architectural priorssuch as Batch Normalization and Residual connectionsto stabilize training dynamics. Without these, or in low-data regimes with aggressive augmentation, low-bias…

Machine Learning · Computer Science 2026-03-09 Habibullah Akbar

Deep learning in general domains has constantly been extended to domain-specific tasks requiring the recognition of fine-grained characteristics. However, real-world applications for fine-grained tasks suffer from two challenges: a high…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Sungnyun Kim , Sangmin Bae , Se-Young Yun

The availability of large-scale annotated image datasets and recent advances in supervised deep learning methods enable the end-to-end derivation of representative image features that can impact a variety of image analysis problems. Such…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Euijoon Ahn , Jinman Kim , Ashnil Kumar , Michael Fulham , Dagan Feng

Reproducing kernel Hilbert spaces are elucidated without assuming prior familiarity with Hilbert spaces. Compared with extant pedagogic material, greater care is placed on motivating the definition of reproducing kernel Hilbert spaces and…

History and Overview · Mathematics 2015-11-06 Jonathan H. Manton , Pierre-Olivier Amblard

We present Self-Organizing Visual Prototypes (SOP), a new training technique for unsupervised visual feature learning. Unlike existing prototypical self-supervised learning (SSL) methods that rely on a single prototype to encode all…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Thalles Silva , Helio Pedrini , Adín Ramírez Rivera

Although supervised learning has been highly successful in improving the state-of-the-art in the domain of image-based computer vision in the past, the margin of improvement has diminished significantly in recent years, indicating that a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-24 Utku Ozbulak , Hyun Jung Lee , Beril Boga , Esla Timothy Anzaku , Homin Park , Arnout Van Messem , Wesley De Neve , Joris Vankerschaver

This paper develops a novel mathematical framework for collaborative learning by means of geometrically inspired kernel machines which includes statements on the bounds of generalisation and approximation errors, and sample complexity. For…

Recent successes in self-supervised learning (SSL) model spatial co-occurrences of visual features either by masking portions of an image or by aggressively cropping it. Here, we propose a new way to model spatial co-occurrences by aligning…

Machine Learning · Computer Science 2025-01-07 Arthur Aubret , Céline Teulière , Jochen Triesch

With the progress of sensor technology in wearables, the collection and analysis of PPG signals are gaining more interest. Using Machine Learning, the cardiac rhythm corresponding to PPG signals can be used to predict different tasks such…

Signal Processing · Electrical Eng. & Systems 2022-12-20 Ramin Ghorbani , Marcel J. T. Reinders , David M. J. Tax

Kernel-based subspace clustering, which addresses the nonlinear structures in data, is an evolving area of research. Despite noteworthy progressions, prevailing methodologies predominantly grapple with limitations relating to (i) the…

Machine Learning · Computer Science 2025-01-22 Kunpeng Xu , Lifei Chen , Shengrui Wang

Self-supervised learning (SSL) has shown remarkable performance in computer vision tasks when trained offline. However, in a Continual Learning (CL) scenario where new data is introduced progressively, models still suffer from catastrophic…

Machine Learning · Computer Science 2024-02-08 Chi Ian Tang , Lorena Qendro , Dimitris Spathis , Fahim Kawsar , Cecilia Mascolo , Akhil Mathur

With the success of self-supervised learning (SSL), it has become a mainstream paradigm to fine-tune from self-supervised pretrained models to boost the performance on downstream tasks. However, we find that current SSL models suffer severe…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Yun-Hao Cao , Peiqin Sun , Yechang Huang , Jianxin Wu , Shuchang Zhou

Self-supervision has shown outstanding results for natural language processing, and more recently, for image recognition. Simultaneously, vision transformers and its variants have emerged as a promising and scalable alternative to…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Prarthana Bhattacharyya , Chenge Li , Xiaonan Zhao , István Fehérvári , Jason Sun

We implement an all-optical setup demonstrating kernel-based quantum machine learning for two-dimensional classification problems. In this hybrid approach, kernel evaluations are outsourced to projective measurements on suitably designed…

Self-supervised learning (SSL) has led to great strides in speech processing. However, the resources needed to train these models has become prohibitively large as they continue to scale. Currently, only a few groups with substantial…

Computation and Language · Computer Science 2023-06-13 William Chen , Xuankai Chang , Yifan Peng , Zhaoheng Ni , Soumi Maiti , Shinji Watanabe

Self-Supervised Learning (SSL) has been shown to learn useful and information-preserving representations. Neural Networks (NNs) are widely applied, yet their weight space is still not fully understood. Therefore, we propose to use SSL to…

Machine Learning · Computer Science 2022-12-15 Konstantin Schürholt , Dimche Kostadinov , Damian Borth

This paper investigates a general regularization framework for unsupervised domain adaptation in vector-valued regression under the covariate shift assumption, utilizing vector-valued reproducing kernel Hilbert spaces (vRKHS). Covariate…

Statistics Theory · Mathematics 2026-01-30 Markus Holzleitner , Sergiy Pereverzyev , Sergei V. Pereverzyev , Vaibhav Silmana , S. Sivananthan

Recent image degradation estimation methods have enabled single-image super-resolution (SR) approaches to better upsample real-world images. Among these methods, explicit kernel estimation approaches have demonstrated unprecedented…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Royson Lee , Rui Li , Stylianos I. Venieris , Timothy Hospedales , Ferenc Huszár , Nicholas D. Lane

Self-supervised learning (SSL) has emerged as a powerful strategy for representation learning under limited annotation regimes, yet its effectiveness remains highly sensitive to many factors, especially the nature of the target task. In…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Jorge Quesada , Ghassan AlRegib
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