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Unsupervised segmentation of large images using a Potts model Hamiltonian is unique in that segmentation is governed by a resolution parameter which scales the sensitivity to small clusters. Here, the input image is first modeled as a…

Computer Vision and Pattern Recognition · Computer Science 2020-02-06 Brendon Lutnick , Wen Dong , Zohar Nussinov , Pinaki Sarder

We use a Potts model community detection algorithm to accurately and quantitatively evaluate the hierarchical or multiresolution structure of a graph. Our multiresolution algorithm calculates correlations among multiple copies ("replicas")…

Physics and Society · Physics 2023-01-30 Peter Ronhovde , Zohar Nussinov

Multicuts enable to conveniently represent discrete graphical models for unsupervised and supervised image segmentation, in the case of local energy functions that exhibit symmetries. The basic Potts model and natural extensions thereof to…

Computer Vision and Pattern Recognition · Computer Science 2015-11-17 Joerg Hendrik Kappes , Markus Speth , Gerhard Reinelt , Christoph Schnoerr

We elaborate on a general method that we recently introduced for characterizing the "natural" structures in complex physical systems via a multiscale network based approach for the data mining of such structures. The approach is based on…

Materials Science · Physics 2015-03-18 P. Ronhovde , S. Chakrabarty , D. Hu , M. Sahu , K. F. Kelton , N. A. Mauro , K . K. Sahu , Z. Nussinov

We survey the application of a relatively new branch of statistical physics--"community detection"-- to data mining. In particular, we focus on the diagnosis of materials and automated image segmentation. Community detection describes the…

Materials Science · Physics 2017-11-22 Z. Nussinov , P. Ronhovde , Dandan Hu , S. Chakrabarty , M. Sahu , Bo Sun , N. A. Mauro , K. K. Sahu

This work presents an unsupervised and semi-automatic image segmentation approach where we formulate the segmentation as a inference problem based on unary and pairwise assignment probabilities computed using low-level image cues. The…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Ayelet Heimowitz , Yosi Keller

We consider the problem of inferring a graphical Potts model on a population of variables, with a non-uniform number of Potts colors (symbols) across variables. This inverse Potts problem generally involves the inference of a large number…

Unsupervised object discovery aims to localize objects in images, while removing the dependence on annotations required by most deep learning-based methods. To address this problem, we propose a fully unsupervised, bottom-up approach, for…

Computer Vision and Pattern Recognition · Computer Science 2022-12-21 Sandra Kara , Hejer Ammar , Florian Chabot , Quoc-Cuong Pham

Unsupervised image segmentation aims at assigning the pixels with similar feature into a same cluster without annotation, which is an important task in computer vision. Due to lack of prior knowledge, most of existing model usually need to…

Computer Vision and Pattern Recognition · Computer Science 2020-12-17 Zhichao Wu , Lei Guo , Hao Zhang , Dan Xu

This work addresses image restoration tasks through the lens of inverse problems using unpaired datasets. In contrast to traditional approaches -- which typically assume full knowledge of the forward model or access to paired degraded and…

Computer Vision and Pattern Recognition · Computer Science 2025-06-18 Giacomo Meanti , Thomas Ryckeboer , Michael Arbel , Julien Mairal

We propose a new algorithmic approach to the non-smooth and non-convex Potts problem (also called piecewise-constant Mumford-Shah problem) for inverse imaging problems. We derive a suitable splitting into specific subproblems that can all…

Optimization and Control · Mathematics 2015-03-03 Martin Storath , Andreas Weinmann , Jürgen Frikel , Michael Unser

Unsupervised image segmentation aims at clustering the set of pixels of an image into spatially homogeneous regions. We introduce here a class of Bayesian nonparametric models to address this problem. These models are based on a combination…

Machine Learning · Statistics 2016-02-10 Richard Yi Da Xu , Francois Caron , Arnaud Doucet

Unsupervised image segmentation aims at grouping different semantic patterns in an image without the use of human annotation. Similarly, image clustering searches for groupings of images based on their semantic content without supervision.…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Isaac Wasserman , Jeova Farias Sales Rocha Neto

Clustering is a fundamental task in unsupervised learning. The focus of this paper is the Correlation Clustering functional which combines positive and negative affinities between the data points. The contribution of this paper is two fold:…

Computer Vision and Pattern Recognition · Computer Science 2011-12-14 Shai Bagon , Meirav Galun

We study image segmentation from an information-theoretic perspective, proposing a novel adversarial method that performs unsupervised segmentation by partitioning images into maximally independent sets. More specifically, we group image…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Pedro Savarese , Sunnie S. Y. Kim , Michael Maire , Greg Shakhnarovich , David McAllester

This paper addresses the problem of unsupervised object localization in an image. Unlike previous supervised and weakly supervised algorithms that require bounding box or image level annotations for training classifiers in order to learn…

Computer Vision and Pattern Recognition · Computer Science 2017-06-30 Aditya Vora , Shanmuganathan Raman

While diffusion models significantly improve the perceptual quality of super-resolved images, they usually require a large number of sampling steps, resulting in high computational costs and long inference times. Recent efforts have…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Yong Liu , Hang Dong , Jinshan Pan , Qingji Dong , Kai Chen , Rongxiang Zhang , Lean Fu , Fei Wang

Unsupervised image segmentation algorithms aim at identifying disjoint homogeneous regions in an image, and have been subject to considerable attention in the machine vision community. In this paper, a popular theoretical model with it's…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Subhradeep Kayal

Community detection is of considerable importance for analyzing the structure and function of complex networks. Many real-world networks may possess community structures at multiple scales, and recently, various multi-resolution methods…

Physics and Society · Physics 2015-09-01 Ju Xiang , Yan-Ni Tang , Yuan-Yuan Gao , Yan Zhang , Ke Deng , Xiao-Ke Xu , Ke Hu

We report on an exceptionally accurate spin-glass-type Potts model for community detection. With a simple algorithm, we find that our approach is at least as accurate as the best currently available algorithms and robust to the effects of…

Physics and Society · Physics 2010-04-28 Peter Ronhovde , Zohar Nussinov
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