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Many learning problems involve symmetries, and while invariance can be built into neural architectures, it can also emerge implicitly when training on group-structured data. We study this phenomenon in classical Hopfield networks and show…

Machine Learning · Computer Science 2026-01-21 Michael Murray , Tenzin Chan , Kedar Karhadker , Christopher J. Hillar

Variational representations of divergences and distances between high-dimensional probability distributions offer significant theoretical insights and practical advantages in numerous research areas. Recently, they have gained popularity in…

Machine Learning · Computer Science 2022-03-25 Jeremiah Birrell , Markos A. Katsoulakis , Yannis Pantazis

Despite their great success, deep neural networks rely on high-dimensional, non-robust representations, making them vulnerable to imperceptible perturbations, even in transfer scenarios. To address this, both training-time defenses (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Jiaming Liang , Chi-Man Pun

From early image processing to modern computational imaging, successful models and algorithms have relied on a fundamental property of natural signals: symmetry. Here symmetry refers to the invariance property of signal sets to…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Dongdong Chen , Mike Davies , Matthias J. Ehrhardt , Carola-Bibiane Schönlieb , Ferdia Sherry , Julián Tachella

Sample efficiency is crucial in optimization, particularly in black-box scenarios characterized by expensive evaluations and zeroth-order feedback. When computing resources are plentiful, Bayesian optimization is often favored over…

Machine Learning · Computer Science 2024-01-04 Zhengfei Zhang , Yunyue Wei , Yanan Sui

Equivariant networks are specifically designed to ensure consistent behavior with respect to a set of input transformations, leading to higher sample efficiency and more accurate and robust predictions. However, redesigning each component…

Machine Learning · Computer Science 2023-10-31 Arnab Kumar Mondal , Siba Smarak Panigrahi , Sékou-Oumar Kaba , Sai Rajeswar , Siamak Ravanbakhsh

This paper provides an extensive study on the availability of image representations based on convolutional networks (ConvNets) for the task of visual instance retrieval. Besides the choice of convolutional layers, we present an efficient…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Ali Sharif Razavian , Josephine Sullivan , Stefan Carlsson , Atsuto Maki

One of the challenges of full autonomy is to have a robot capable of manipulating its current environment to achieve another environment configuration. This paper is a step towards this challenge, focusing on the visual understanding of the…

Robotics · Computer Science 2020-11-24 Guilherme Maeda , Joni Väätäinen , Hironori Yoshida

Equivariant and invariant machine learning models exploit symmetries and structural patterns in data to improve sample efficiency. While empirical studies suggest that data-driven methods such as regularization and data augmentation can…

Machine Learning · Statistics 2025-06-17 Hao Duan , Guido Montúfar

We propose randomized subspace gradient methods for high-dimensional constrained optimization. While there have been similarly purposed studies on unconstrained optimization problems, there have been few on constrained optimization problems…

Optimization and Control · Mathematics 2023-07-10 Ryota Nozawa , Pierre-Louis Poirion , Akiko Takeda

It is commonly agreed that the use of relevant invariances as a good statistical bias is important in machine-learning. However, most approaches that explicitly incorporate invariances into a model architecture only make use of very simple…

Machine Learning · Computer Science 2017-11-01 Yannic Kilcher , Gary Becigneul , Thomas Hofmann

Data representations that contain all the information about target variables but are invariant to nuisance factors benefit supervised learning algorithms by preventing them from learning associations between these factors and the targets,…

Machine Learning · Computer Science 2018-09-27 Ayush Jaiswal , Yue Wu , Wael AbdAlmageed , Premkumar Natarajan

A recent trend in deep learning algorithms has been towards training large scale models, having high parameter count and trained on big dataset. However, robustness of such large scale models towards real-world settings is still a…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 Nishant Jain , Harkirat Behl , Yogesh Singh Rawat , Vibhav Vineet

Unlike standard object classification, where the image to be classified contains one or multiple instances of the same object, indoor scene classification is quite different since the image consists of multiple distinct objects. Further,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Munawar Hayat , Salman H. Khan , Mohammed Bennamoun , Senjian An

Objects in aerial images have greater variations in scale and orientation than in typical images, so detection is more difficult. Convolutional neural networks use a variety of frequency- and orientation-specific kernels to identify objects…

Computer Vision and Pattern Recognition · Computer Science 2021-11-08 Guo-Ye Yang , Xiang-Li Li , Ralph R. Martin , Shi-Min Hu

The quest to understand structure-function relationships in networks across scientific disciplines has intensified. However, the optimal network architecture remains elusive, particularly for complex information processing. Therefore, we…

Adaptation and Self-Organizing Systems · Physics 2024-03-27 Manish Yadav , Sudeshna Sinha , Merten Stender

Reasoning about 3D scenes from their 2D image projections is one of the core problems in computer vision. Solutions to this inverse and ill-posed problem typically involve a search for models that best explain observed image data. Notably,…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Quentin Le Lidec , Ivan Laptev , Cordelia Schmid , Justin Carpentier

The success of deep neural networks hinges on our ability to accurately and efficiently optimize high-dimensional, non-convex functions. In this paper, we empirically investigate the loss functions of state-of-the-art networks, and how…

Machine Learning · Computer Science 2017-12-11 Daniel Jiwoong Im , Michael Tao , Kristin Branson

Model-based learned iterative reconstruction methods have recently been shown to outperform classical reconstruction algorithms. Applicability of these methods to large scale inverse problems is however limited by the available memory for…

Image and Video Processing · Electrical Eng. & Systems 2020-04-21 Andreas Hauptmann , Jonas Adler , Simon Arridge , Ozan Öktem

Computer vision researchers have been expecting that neural networks have spatial transformation ability to eliminate the interference caused by geometric distortion for a long time. Emergence of spatial transformer network makes dream come…

Computer Vision and Pattern Recognition · Computer Science 2018-01-31 Chang Shu , Xi Chen , Qiwei Xie , Hua Han