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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

Images seen during test time are often not from the same distribution as images used for learning. This problem, known as domain shift, occurs when training classifiers from object-centric internet image databases and trying to apply them…

Computer Vision and Pattern Recognition · Computer Science 2013-08-21 Erik Rodner , Judy Hoffman , Jeff Donahue , Trevor Darrell , Kate Saenko

All Lossy compression algorithms employ similar compression schemes -- frequency domain transform followed by quantization and lossless encoding schemes. They target tradeoffs by quantizating high frequency data to increase compression…

Information Theory · Computer Science 2021-12-15 Johnathan Chiu

Linear subspace representations of appearance variation are pervasive in computer vision. This paper addresses the problem of robustly matching such subspaces (computing the similarity between them) when they are used to describe the scope…

Computer Vision and Pattern Recognition · Computer Science 2014-02-03 Ognjen Arandjelovic

In this paper we address the uncertainty issues involved in the low-level vision task of image segmentation. Researchers in computer vision have worked extensively on this problem, in which the goal is to partition (or segment) an image…

Artificial Intelligence · Computer Science 2013-03-08 Steven M. LaValle , Seth A. Hutchinson

Mask-based lensless imagers are smaller and lighter than traditional lensed cameras. In these imagers, the sensor does not directly record an image of the scene; rather, a computational algorithm reconstructs it. Typically, mask-based…

Image and Video Processing · Electrical Eng. & Systems 2019-09-27 Kristina Monakhova , Joshua Yurtsever , Grace Kuo , Nick Antipa , Kyrollos Yanny , Laura Waller

Visual place recognition is an important subproblem of mobile robot localization. Since it is a special case of image retrieval, the basic source of information is the pairwise similarity of image descriptors. However, the embedding of the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-03 Stefan Schubert , Peer Neubert , Peter Protzel

Dynamical properties of image restoration and hyper-parameter estimation are investigated by means of statistical mechanics. We introduce an exactly solvable model for image restoration and derive differential equations with respect to…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jun-ichi Inoue , Kazuyuki Tanaka

In this paper we make a first attempt at understanding how to build an optimal approximate normal factor analysis model. The criterion we have chosen to evaluate the distance between different models is the I-divergence between the…

Probability · Mathematics 2023-02-27 Lorenzo Finesso , Peter Spreij

We propose a new space-variant anisotropic regularisation term for variational image restoration, based on the statistical assumption that the gradients of the target image distribute locally according to a bivariate generalised Gaussian…

Numerical Analysis · Mathematics 2019-04-04 Luca Calatroni , Alessandro Lanza , Monica Pragliola , Fiorella Sgallari

Balancing the model complexity and the representation capability towards the process to be captured remains one of the main challenges in nonlinear system identification. One possibility to reduce model complexity is to impose structure on…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Maarten Schoukens , Roland Toth

We study the problem of finding the one-dimensional structure in a given data set. In other words we consider ways to approximate a given measure (data) by curves. We consider an objective functional whose minimizers are a regularization of…

Analysis of PDEs · Mathematics 2016-08-31 Slav Kirov , Dejan Slepčev

We analyze the performance of alternating minimization for loss functions optimized over two variables, where each variable may be restricted to lie in some potentially nonconvex constraint set. This type of setting arises naturally in…

Optimization and Control · Mathematics 2019-02-26 Wooseok Ha , Rina Foygel Barber

We study the structure of representations, defined as approximations of minimal sufficient statistics that are maximal invariants to nuisance factors, for visual data subject to scaling and occlusion of line-of-sight. We derive analytical…

Computer Vision and Pattern Recognition · Computer Science 2015-04-20 Stefano Soatto , Jingming Dong , Nikolaos Karianakis

The homography matrix is a key component in various vision-based robotic tasks. Traditionally, homography estimation algorithms are classified into feature- or intensity-based. The main advantages of the latter are their versatility,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Lucas Nogueira , Ely C. de Paiva , Geraldo Silvera

We propose a novel image sampling method for differentiable image transformation in deep neural networks. The sampling schemes currently used in deep learning, such as Spatial Transformer Networks, rely on bilinear interpolation, which…

Computer Vision and Pattern Recognition · Computer Science 2019-09-11 Wei Jiang , Weiwei Sun , Andrea Tagliasacchi , Eduard Trulls , Kwang Moo Yi

Models related to the Euler's elastica energy have proven to be useful for many applications including image processing. Extending elastica models to color images and multi-channel data is a challenging task, as stable and consistent…

Computer Vision and Pattern Recognition · Computer Science 2021-03-05 Hao Liu , Xue-Cheng Tai , Ron Kimmel , Roland Glowinski

We transpose an optimal control technique to the image segmentation problem. The idea is to consider image segmentation as a parameter estimation problem. The parameter to estimate is the color of the pixels of the image. We use the…

Numerical Analysis · Mathematics 2011-05-24 Hend Ben Ameur , Guy Chavent , Francois Clément , Pierre Weis

Coupled tensor approximation has recently emerged as a promising approach for the fusion of hyperspectral and multispectral images, reconciling state of the art performance with strong theoretical guarantees. However, tensor-based…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Ricardo Augusto Borsoi , Clémence Prévost , Konstantin Usevich , David Brie , José Carlos Moreira Bermudez , Cédric Richard

We study neural network loss landscapes through the lens of mode connectivity, the observation that minimizers of neural networks retrieved via training on a dataset are connected via simple paths of low loss. Specifically, we ask the…

Machine Learning · Computer Science 2023-06-02 Ekdeep Singh Lubana , Eric J. Bigelow , Robert P. Dick , David Krueger , Hidenori Tanaka