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Pseudospectra and structured pseudospectra are important tools for the analysis of matrices. Their computation, however, can be very demanding for all but small matrices. A new approach to compute approximations of pseudospectra and…

Numerical Analysis · Mathematics 2016-11-16 Silvia Noschese , Lothar Reichel

Humans view the world through many sensory channels, e.g., the long-wavelength light channel, viewed by the left eye, or the high-frequency vibrations channel, heard by the right ear. Each view is noisy and incomplete, but important…

Computer Vision and Pattern Recognition · Computer Science 2020-12-21 Yonglong Tian , Dilip Krishnan , Phillip Isola

Piecewise constant image approximations of sequential number of segments or clusters of disconnected pixels are treated. The method of majorizing of optimal approximation sequence by hierarchical sequence of image approximations is…

Computer Vision and Pattern Recognition · Computer Science 2013-10-02 M. Kharinov

Learning representations that capture the underlying data generating process is a key problem for data efficient and robust use of neural networks. One key property for robustness which the learned representation should capture and which…

Machine Learning · Computer Science 2022-06-24 Mathieu Chevalley , Charlotte Bunne , Andreas Krause , Stefan Bauer

In this paper, we propose a novel image set representation and classification method by maximizing the margin of image sets. The margin of an image set is defined as the difference of the distance to its nearest image set from different…

Computer Vision and Pattern Recognition · Computer Science 2014-04-23 Jim Jing-Yan Wang , Majed Alzahrani , Xin Gao

Scale invariance is a central organizing principle in physics, underlying phenomena that range from critical behaviour in statistical mechanics to transport and chaos in nonlinear dynamical systems. Here we present a unified and physically…

Statistical Mechanics · Physics 2026-02-23 Edson D. Leonel , Diego F. M. Oliveira

In the field of visual representation learning, performance of contrastive learning has been catching up with the supervised method which is commonly a classification convolutional neural network. However, most of the research work focuses…

Computer Vision and Pattern Recognition · Computer Science 2023-01-31 Xiaoqi Zhuang

The development of science has been transforming man's view towards nature for centuries. Observing structures and patterns in an effective approach to discover regularities from data is a key step toward theory-building. With increasingly…

Computational Physics · Physics 2025-06-09 Guang-Xing Li

Visual error metrics play a fundamental role in the quantification of perceived image similarity. Most recently, use cases for them in real-time applications have emerged, such as content-adaptive shading and shading reuse to increase…

Graphics · Computer Science 2023-10-16 João Libório Cardoso , Bernhard Kerbl , Lei Yang , Yury Uralsky , Michael Wimmer

We present results from a preregistered and crowdsourced user study where we asked members of the general population to determine whether two samples represented using different forms of data visualizations are drawn from the same or…

Human-Computer Interaction · Computer Science 2023-09-25 Eric Newburger , Niklas Elmqvist

Owing to the cross-pollination between causal discovery and deep learning, non-statistical data (e.g., images, text, etc.) encounters significant conflicts in terms of properties and methods with traditional causal data. To unify these data…

Machine Learning · Computer Science 2023-08-14 Hang Chen , Xinyu Yang , Qing Yang

Autonomous neural systems must efficiently process information in a wide range of novel environments, which may have very different statistical properties. We consider the problem of how to optimally distribute receptors along a…

Neurons and Cognition · Quantitative Biology 2017-04-04 Marc W. Howard , Karthik H. Shankar

Representations in the auditory cortex might be based on mechanisms similar to the visual ventral stream; modules for building invariance to transformations and multiple layers for compositionality and selectivity. In this paper we propose…

Investigating relationships between variables in multi-dimensional data sets is a common task for data analysts and engineers. More specifically, it is often valuable to understand which ranges of which input variables lead to particular…

Machine Learning · Computer Science 2020-09-14 Johannes Knittel , Andres Lalama , Steffen Koch , Thomas Ertl

Human observers can learn to recognize new categories of images from a handful of examples, yet doing so with artificial ones remains an open challenge. We hypothesize that data-efficient recognition is enabled by representations which make…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 Olivier J. Hénaff , Aravind Srinivas , Jeffrey De Fauw , Ali Razavi , Carl Doersch , S. M. Ali Eslami , Aaron van den Oord

In recent years, a large amount of multi-disciplinary research has been conducted on sparse models and their applications. In statistics and machine learning, the sparsity principle is used to perform model selection---that is,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-09 Julien Mairal , Francis Bach , Jean Ponce

Dense captioning is a newly emerging computer vision topic for understanding images with dense language descriptions. The goal is to densely detect visual concepts (e.g., objects, object parts, and interactions between them) from images,…

Computer Vision and Pattern Recognition · Computer Science 2017-08-09 Linjie Yang , Kevin Tang , Jianchao Yang , Li-Jia Li

Compositional understanding is crucial for human intelligence, yet it remains unclear whether contemporary vision models exhibit it. The dominant machine learning paradigm is built on the premise that scaling data and model sizes will…

Machine Learning · Computer Science 2025-07-10 Arnas Uselis , Andrea Dittadi , Seong Joon Oh

While several feature scoring methods are proposed to explain the output of complex machine learning models, most of them lack formal mathematical definitions. In this study, we propose a novel definition of the feature score using the…

Machine Learning · Statistics 2018-07-12 Satoshi Hara , Kouichi Ikeno , Tasuku Soma , Takanori Maehara

Pre-trained representations are becoming crucial for many NLP and perception tasks. While representation learning in NLP has transitioned to training on raw text without human annotations, visual and vision-language representations still…

Computer Vision and Pattern Recognition · Computer Science 2021-06-14 Chao Jia , Yinfei Yang , Ye Xia , Yi-Ting Chen , Zarana Parekh , Hieu Pham , Quoc V. Le , Yunhsuan Sung , Zhen Li , Tom Duerig