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Feature representations, both hand-designed and learned ones, are often hard to analyze and interpret, even when they are extracted from visual data. We propose a new approach to study image representations by inverting them with an…

Neural and Evolutionary Computing · Computer Science 2016-04-28 Alexey Dosovitskiy , Thomas Brox

Despite their empirical success, pushing Transformer architectures to extreme depth often leads to a paradoxical failure: representations become increasingly redundant, lose rank, and ultimately collapse. Existing explanations largely…

Machine Learning · Computer Science 2026-01-16 Haoran Su , Chenyu You

Systematic relations between multiple objects that occur in various fields can be represented as networks. Real-world networks typically exhibit complex topologies whose structural properties are key factors in characterizing and further…

Physics and Society · Physics 2021-04-09 Yoshihisa Tanaka , Ryosuke Kojima , Shoichi Ishida , Fumiyoshi Yamashita , Yasushi Okuno

This paper presents a deep relational metric learning (DRML) framework for image clustering and retrieval. Most existing deep metric learning methods learn an embedding space with a general objective of increasing interclass distances and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Wenzhao Zheng , Borui Zhang , Jiwen Lu , Jie Zhou

The present contribution suggests the use of a multidimensional scaling (MDS) algorithm as a visualization tool for manifold-valued elements. A visualization tool of this kind is useful in signal processing and machine learning whenever…

Machine Learning · Statistics 2013-03-08 Simone Fiori

We develop information geometric techniques to understand the representations learned by deep networks when they are trained on different tasks using supervised, meta-, semi-supervised and contrastive learning. We shed light on the…

Machine Learning · Computer Science 2023-07-25 Rahul Ramesh , Jialin Mao , Itay Griniasty , Rubing Yang , Han Kheng Teoh , Mark Transtrum , James P. Sethna , Pratik Chaudhari

Data living on manifolds commonly appear in many applications. Often this results from an inherently latent low-dimensional system being observed through higher dimensional measurements. We show that under certain conditions, it is possible…

Machine Learning · Statistics 2018-07-05 Ariel Schwartz , Ronen Talmon

Unsupervised learning has always been appealing to machine learning researchers and practitioners, allowing them to avoid an expensive and complicated process of labeling the data. However, unsupervised learning of complex data is…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Evgenii Zheltonozhskii , Chaim Baskin , Alex M. Bronstein , Avi Mendelson

Until recently, applications of neural networks in machine learning have almost exclusively relied on real-valued networks. It was recently observed, however, that complex-valued neural networks (CVNNs) exhibit superior performance in…

Functional Analysis · Mathematics 2021-12-06 A. Caragea , D. G. Lee , J. Maly , G. Pfander , F. Voigtlaender

Our goal is to extract meaningful transformations from raw images, such as varying the thickness of lines in handwriting or the lighting in a portrait. We propose an unsupervised approach to learn such transformations by attempting to…

Machine Learning · Statistics 2017-11-08 Tatsunori B. Hashimoto , John C. Duchi , Percy Liang

Dictionary learning algorithms or supervised deep convolution networks have considerably improved the efficiency of predefined feature representations such as SIFT. We introduce a deep scattering convolution network, with predefined wavelet…

Computer Vision and Pattern Recognition · Computer Science 2015-06-02 Edouard Oyallon , Stéphane Mallat

Deep learning methods have been successfully applied to various computer vision tasks. However, existing neural network architectures do not per se incorporate domain knowledge about the addressed problem, thus, understanding what the model…

Computer Vision and Pattern Recognition · Computer Science 2019-10-21 Iman Marivani , Evaggelia Tsiligianni , Bruno Cornelis , Nikos Deligiannis

Deep learning has been widely used for supervised learning and classification/regression problems. Recently, a novel area of research has applied this paradigm to unsupervised tasks; indeed, a gradient-based approach extracts, efficiently…

Machine Learning · Statistics 2020-09-08 Giansalvo Cirrincione , Pietro Barbiero , Gabriele Ciravegna , Vincenzo Randazzo

We propose a nonlinear manifold learning technique based on deep convolutional autoencoders that is appropriate for model order reduction of physical systems in complex geometries. Convolutional neural networks have proven to be highly…

Computational Physics · Physics 2021-07-19 John Tencer , Kevin Potter

The expanding research on manifold-based self-supervised learning (SSL) builds on the manifold hypothesis, which suggests that the inherent complexity of high-dimensional data can be unraveled through lower-dimensional manifold embeddings.…

Machine Learning · Computer Science 2024-05-24 Li Meng , Morten Goodwin , Anis Yazidi , Paal Engelstad

Symmetric objects are common in daily life and industry, yet their inherent orientation ambiguities that impede the training of deep learning networks for pose estimation are rarely discussed in the literature. To cope with these…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Andreas Kriegler , Csaba Beleznai , Margrit Gelautz

Although convolutional neural network (CNN) has made great progress, large redundant parameters restrict its deployment on embedded devices, especially mobile devices. The recent compression works are focused on real-value convolutional…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Jiasong Wu , Hongshan Ren , Youyong Kong , Chunfeng Yang , Lotfi Senhadji , Huazhong Shu

We introduce a deep appearance model for rendering the human face. Inspired by Active Appearance Models, we develop a data-driven rendering pipeline that learns a joint representation of facial geometry and appearance from a multiview…

Graphics · Computer Science 2018-08-02 Stephen Lombardi , Jason Saragih , Tomas Simon , Yaser Sheikh

Magnetic Resonance Imaging (MRI) is widely used in clinical practice, but suffered from prolonged acquisition time. Although deep learning methods have been proposed to accelerate acquisition and demonstrate promising performance, they rely…

Image and Video Processing · Electrical Eng. & Systems 2025-12-30 Hao Zhang , Qi Wang , Jian Sun , Zhijie Wen , Jun Shi , Shihui Ying

The increasing congestion of the radio frequency spectrum presents challenges for efficient spectrum utilization. Cognitive radio systems enable dynamic spectrum access with the aid of recent innovations in neural networks. However,…

Machine Learning · Computer Science 2025-08-25 Sangwon Shin , Mehmet C. Vuran