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In many branches of engineering, Banach contraction mapping theorem is employed to establish the convergence of certain deterministic algorithms. Randomized versions of these algorithms have been developed that have proved useful in…

Probability · Mathematics 2023-09-25 Abhishek Gupta , Rahul Jain , Peter Glynn

The random walk is a fundamental stochastic process that underlies many numerical tasks in scientific computing applications. We consider here two neural algorithms that can be used to efficiently implement random walks on spiking…

Neural and Evolutionary Computing · Computer Science 2018-05-03 William Severa , Rich Lehoucq , Ojas Parekh , James B. Aimone

Maximal Independent Set selection is a fundamental problem in distributed computing. A novel probabilistic algorithm for this problem has recently been proposed by Afek et al, inspired by the study of the way that developing cells in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-02 Alex Scott , Peter Jeavons , Lei Xu

A numerical method for an inverse problem for an elliptic equation with the running source at multiple positions is presented. This algorithm does not rely on a good first guess for the solution. The so-called "approximate global…

Mathematical Physics · Physics 2015-03-20 Jianzhong Su , Michael V. Klibanov , Yueming Liu , Zhijin Lin , Natee Pantong , Hanli Liu

Exploring statistics of locally connected subgraph patterns (also known as network motifs) has helped researchers better understand the structure and function of biological and online social networks (OSNs). Nowadays the massive size of…

Social and Information Networks · Computer Science 2014-03-28 Pinghui Wang , John C. S. Lui , Bruno Ribeiro , Don Towsley , Junzhou Zhao , Xiaohong Guan

The aim of the article is to understand the combinatorics of snake graphs by means of linear algebra. In particular, we apply Kasteleyn's and Temperley--Fisher's ideas about spectral properties of weighted adjacency matrices of planar…

Combinatorics · Mathematics 2019-10-28 James P. Bradshaw , Philipp Lampe , Dusan Ziga

With the development and widespread application of digital image processing technology, image splicing has become a common method of image manipulation, raising numerous security and legal issues. This paper introduces a new splicing image…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 Ao Xiang , Jingyu Zhang , Qin Yang , Liyang Wang , Yu Cheng

Probabilistic image segmentation encodes varying prediction confidence and inherent ambiguity in the segmentation problem. While different probabilistic segmentation models are designed to capture different aspects of segmentation…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Steffen Czolbe , Kasra Arnavaz , Oswin Krause , Aasa Feragen

We propose a computationally efficient random walk on a convex body which rapidly mixes and closely tracks a time-varying log-concave distribution. We develop general theoretical guarantees on the required number of steps; this number can…

Machine Learning · Statistics 2013-09-25 Hariharan Narayanan , Alexander Rakhlin

Latent position models are widely used for the analysis of networks in a variety of research fields. In fact, these models possess a number of desirable theoretical properties, and are particularly easy to interpret. However, statistical…

Computation · Statistics 2023-03-08 Riccardo Rastelli , Florian Maire , Nial Friel

This paper presents a new probabilistic generative model for image segmentation, i.e. the task of partitioning an image into homogeneous regions. Our model is grounded on a mid-level image representation, called a region tree, in which…

Machine Learning · Statistics 2015-06-15 Shell X. Hu , Christopher K. I. Williams , Sinisa Todorovic

Purpose: To present an algorithm for spatially sorting objects into an annular structure. Design/Methodology/Approach: A swarm-based model that requires only stochastic agent behaviour coupled with a pheromone-inspired…

Artificial Intelligence · Computer Science 2008-05-13 Martyn Amos , Oliver Don

In this paper a general class of tree algorithms is analyzed. It is shown that, by using an appropriate probabilistic representation of the quantities of interest, the asymptotic behavior of these algorithms can be obtained quite easily…

Probability · Mathematics 2016-08-16 Hanène Mohamed , Philippe Robert

It is at times important to detect human presence automatically in secure environments. This needs a shape recognition algorithm that is robust, fast and has low error rates. The algorithm needs to process camera images quickly to detect…

Computer Vision and Pattern Recognition · Computer Science 2015-06-30 Dhriti Sengupta , Merina Kundu , Jayati Ghosh Dastidar

This paper introduces a novel approach that combines unsupervised active contour models with deep learning for robust and adaptive image segmentation. Indeed, traditional active contours, provide a flexible framework for contour evolution…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Antoine Habis , Vannary Meas-Yedid , Elsa Angelini , Jean-Christophe Olivo-Marin

Image pattern recognition is an important area in digital image processing. An efficient pattern recognition algorithm should be able to provide correct recognition at a reduced computational time. Off late amongst the machine learning…

Computer Vision and Pattern Recognition · Computer Science 2016-12-08 Lei Shi , Rui Guo , Yuchen Ma

Approximate Bayesian Computation has been successfully used in population genetics to bypass the calculation of the likelihood. These methods provide accurate estimates of the posterior distribution by comparing the observed dataset to a…

A pair of complementary algorithms are presented. One of the pair is a fast method for connecting graphs with an edge. The other is a fast method for removing edges from a graph. Both algorithms employ the same tree based graph…

Data Structures and Algorithms · Computer Science 2009-11-13 Michael J. Lee

The interactive image segmentation algorithm can provide an intelligent ways to understand the intention of user input. Many interactive methods have the problem of that ask for large number of user input. To efficient produce intuitive…

Computer Vision and Pattern Recognition · Computer Science 2018-08-10 Xiaofeng Xie , ZhuLiang Yu , Zhenghui Gu , Yuanqing Li

This thesis describes work on two applications of probabilistic programming: the learning of probabilistic program code given specifications, in particular program code of one-dimensional samplers; and the facilitation of sequential Monte…

Artificial Intelligence · Computer Science 2020-05-21 Yura N Perov