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Active contour models based on partial differential equations have proved successful in image segmentation, yet the study of their geometric formulation on arbitrary geometric graphs is still at an early stage. In this paper, we introduce…

Computer Vision and Pattern Recognition · Computer Science 2016-10-25 Christos Sakaridis , Kimon Drakopoulos , Petros Maragos

Probabilistic ideas and tools have recently begun to permeate into several fields where they had traditionally not played a major role, including fields such as numerical linear algebra and optimization. One of the key ways in which these…

Numerical Analysis · Mathematics 2016-12-20 Robert M. Gower

Stochastic sampling based trackers have shown good performance for abrupt motion tracking so that they have gained popularity in recent years. However, conventional methods tend to use a two-stage sampling paradigm, in which the search…

Computer Vision and Pattern Recognition · Computer Science 2015-03-11 Tianfei Zhou , Yao Lu , Feng Lv , Huijun Di , Qingjie Zhao , Jian Zhang

This paper examines Bayesian belief network inference using simulation as a method for computing the posterior probabilities of network variables. Specifically, it examines the use of a method described by Henrion, called logic sampling,…

Artificial Intelligence · Computer Science 2013-04-11 Homer L. Chin , Gregory F. Cooper

The computational burden of probabilistic inference remains a hurdle for applying probabilistic programming languages to practical problems of interest. In this work, we provide a semantic and algorithmic foundation for efficient exact…

Programming Languages · Computer Science 2019-07-02 Steven Holtzen , Todd Millstein , Guy Van den Broeck

We propose a novel sampling framework for inference in probabilistic models: an active learning approach that converges more quickly (in wall-clock time) than Markov chain Monte Carlo (MCMC) benchmarks. The central challenge in…

Machine Learning · Statistics 2014-11-04 Tom Gunter , Michael A. Osborne , Roman Garnett , Philipp Hennig , Stephen J. Roberts

We present a new Monte Carlo algorithm for studying site or bond percolation on any lattice. The algorithm allows us to calculate quantities such as the cluster size distribution or spanning probability over the entire range of site or bond…

Statistical Mechanics · Physics 2009-10-31 M. E. J. Newman , R. M. Ziff

We present new algorithms and fast implementations to find efficient approximations for modelling stochastic processes. For many numerical computations it is essential to develop finite approximations for stochastic processes. While the…

Optimization and Control · Mathematics 2020-12-03 Kipngeno Benard Kirui , Georg Ch. Pflug , Alois Pichler

SHAP is a popular method for measuring variable importance in machine learning models. In this paper, we study the algorithm used to estimate SHAP scores and outline its connection to the functional ANOVA decomposition. We use this…

Methodology · Statistics 2022-11-14 Andrew Herren , P. Richard Hahn

Contact-rich problems, such as snake robot locomotion, offer unexplored yet rich opportunities for optimization-based trajectory and acyclic contact planning. So far, a substantial body of control research has focused on emulating snake…

Robotics · Computer Science 2025-08-06 Adarsh Salagame , Eric Sihite , Alireza Ramezani

Recent advances in neural recording technology allow simultaneously recording action potentials from hundreds to thousands of neurons in awake, behaving animals. However, characterizing spike patterns in the resulting data, and linking…

Active learning aims to reduce labeling costs by selecting only the most informative samples on a dataset. Few existing works have addressed active learning for object detection. Most of these methods are based on multiple models or are…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Jiwoong Choi , Ismail Elezi , Hyuk-Jae Lee , Clement Farabet , Jose M. Alvarez

Animals perform near-optimal probabilistic inference in a wide range of psychophysical tasks. Probabilistic inference requires trial-to-trial representation of the uncertainties associated with task variables and subsequent use of this…

Neurons and Cognition · Quantitative Biology 2017-04-25 A. Emin Orhan , Wei Ji Ma

Accurate segmentation of 3-D cell nuclei in microscopy images is essential for the study of nuclear organization, gene expression, and cell morphodynamics. Current image segmentation methods are challenged by the complexity and variability…

Image and Video Processing · Electrical Eng. & Systems 2022-03-18 Sundaresh Ram , Jeffrey J. Rodriguez

Preserving contour topology during image segmentation is useful in many practical scenarios. By keeping the contours isomorphic, it is possible to prevent over-segmentation and under-segmentation, as well as to adhere to given topologies.…

Computer Vision and Pattern Recognition · Computer Science 2021-02-22 Huizhu Pan , Jintao Song , Wanquan Liu , Ling Li , Guanglu Zhou , Lu Tan , Shichu Chen

We study a dynamic version of the implicit trace estimation problem. Given access to an oracle for computing matrix-vector multiplications with a dynamically changing matrix A, our goal is to maintain an accurate approximation to A's trace…

Data Structures and Algorithms · Computer Science 2021-10-27 Prathamesh Dharangutte , Christopher Musco

Deep learning algorithms have recently shown to be a successful tool in estimating parameters of statistical models for which simulation is easy, but likelihood computation is challenging. But the success of these approaches depends on…

Machine Learning · Statistics 2024-02-20 Amanda Lenzi , Haavard Rue

Approximate Bayesian computation methods can be used to evaluate posterior distributions without having to calculate likelihoods. In this paper we discuss and apply an approximate Bayesian computation (ABC) method based on sequential Monte…

Computation · Statistics 2009-01-15 Tina Toni , David Welch , Natalja Strelkowa , Andreas Ipsen , Michael P. H. Stumpf

Because of the huge number of graphs possible even with a small number of nodes, inference on network structure is known to be a challenging problem. Generating large random directed graphs with prescribed probabilities of occurrences of…

Quantitative Methods · Quantitative Biology 2017-05-03 Frederic Y. Bois , Ghislaine Gayraud

Active set method aims to find the correct active set of the optimal solution and it is a powerful method for solving strictly convex quadratic problem with bound constraints. To guarantee the finite step convergence, the existing active…

Optimization and Control · Mathematics 2024-08-12 Ran Gu , Bing Gao