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We present an algorithm for resampling a function from its values on a non-Cartesian grid onto a Cartesian grid. This problem arises in many applications such as MRI, CT, radio astronomy and geophysics. Our algorithm, termed SParse Uniform…

Information Theory · Computer Science 2016-03-17 Amir Kiperwas , Daniel Rosenfeld , Yonina C. Eldar

Target search and tracking (SAT) is a fundamental problem for various robotic applications such as search and rescue and environmental exploration. This paper proposes an informative trajectory planning approach, namely ReSPIRe, for SAT in…

Robotics · Computer Science 2026-01-01 Kangjie Zhou , Zhaoyang Li , Han Gao , Yao Su , Hangxin Liu , Junzhi Yu , Chang Liu

Partly on the basis of heuristic arguments from physics it has been suggested that the performance of certain types of algorithms on random $k$-SAT formulas is linked to phase transitions that affect the geometry of the set of satisfying…

Combinatorics · Mathematics 2017-11-17 Amin Coja-Oghlan , Amir Haqshenas , Samuel Hetterich

This paper aims at tackling the problem of signal detection in flat-fading channels. In this context, receivers based on the expectation propagation framework appear to be very promising although presenting some critical issues. We develop…

Signal Processing · Electrical Eng. & Systems 2023-06-01 Elisa Conti , Amina Piemontese , Giulio Colavolpe , Armando Vannucci

Due to the computational complexity of finding almost shortest simple paths, we propose that identifying a larger collection of (nonbacktracking) paths is more efficient than finding almost shortest simple paths on positively weighted…

Data Structures and Algorithms · Computer Science 2017-11-08 David Burstein , Leigh Metcalf

Because of their occasional need to return to shallow points in a search tree, existing backtracking methods can sometimes erase meaningful progress toward solving a search problem. In this paper, we present a method by which backtrack…

Artificial Intelligence · Computer Science 2008-02-03 M. L. Ginsberg

In this paper, we propose an extension to the Propagator algorithm for source bearing estimation by performing root decomposition which eliminates the need for spectral search over angles. Further the propagator spatial spectrum is reused…

Signal Processing · Electrical Eng. & Systems 2025-01-27 Pradeep Dheerendra , Zoltan Derzsi

Constructing a propagation map from a set of scattered measurements finds important applications in many areas, such as localization, spectrum monitoring and management. Classical interpolation-type methods have poor performance in regions…

Signal Processing · Electrical Eng. & Systems 2023-01-25 Hao Sun , Junting Chen

The evaluation of incomplete satisfiability solvers depends critically on the availability of hard satisfiable instances. A plausible source of such instances consists of random k-SAT formulas whose clauses are chosen uniformly from among…

Artificial Intelligence · Computer Science 2007-05-23 Dimitris Achlioptas , Haixia Jia , Cristopher Moore

Inference in Bayes Nets (BAYES) is an important problem with numerous applications in probabilistic reasoning. Counting the number of satisfying assignments of a propositional formula (#SAT) is a closely related problem of fundamental…

Artificial Intelligence · Computer Science 2014-01-16 Fahiem Bacchus , Shannon Dalmao , Toniann Pitassi

This paper presents a powerful swarm intelligence meta-heuristic optimization algorithm called Dynamic Cat Swarm Optimization. The formulation is through modifying the existing Cat Swarm Optimization. The original Cat Swarm Optimization…

Neural and Evolutionary Computing · Computer Science 2021-07-20 Aram Ahmed , Tarik A. Rashid , Soran Saeed

The problem of identifying a planted assignment given a random $k$-SAT formula consistent with the assignment exhibits a large algorithmic gap: while the planted solution becomes unique and can be identified given a formula with $O(n\log…

Computational Complexity · Computer Science 2018-03-07 Vitaly Feldman , Will Perkins , Santosh Vempala

We consider the recovery of a nonnegative vector x from measurements y = Ax, where A is an m-by-n matrix whos entries are in {0, 1}. We establish that when A corresponds to the adjacency matrix of a bipartite graph with sufficient…

Information Theory · Computer Science 2010-01-26 Venkat Chandar , Devavrat Shah , Gregory W. Wornell

We present and analyse a backtracking strategy for a general Fast Iterative Shrinkage/Thresholding Algorithm which has been recently proposed in (Chambolle, Pock, 2016) for strongly convex objective functions. Differently from classical…

Optimization and Control · Mathematics 2019-01-04 Luca Calatroni , Antonin Chambolle

Subgraph matching is a compute-intensive problem that asks to enumerate all the isomorphic embeddings of a query graph within a data graph. This problem is generally solved with backtracking, which recursively evolves every possible partial…

Databases · Computer Science 2020-12-29 Junya Arai , Makoto Onizuka , Yasuhiro Fujiwara , Sotetsu Iwamura

A novel artificial neural network approach to constraint satisfaction problems is presented. Based on information-theoretical considerations, it differs from a conventional mean-field approach in the form of the resulting free energy. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Henrik Jonsson , Bo Soderberg

In this work, we address the problem of solving a series of underdetermined linear inverse problems subject to a sparsity constraint. We generalize the spike-and-slab prior distribution to encode a priori correlation of the support of the…

Machine Learning · Statistics 2018-01-19 Michael Riis Andersen , Aki Vehtari , Ole Winther , Lars Kai Hansen

This work analyses the potential of restarts for probSAT, a quite successful algorithm for k-SAT, by estimating its runtime distributions on random 3-SAT instances that are close to the phase transition. We estimate an optimal restart time…

Data Structures and Algorithms · Computer Science 2020-05-11 Jan-Hendrik Lorenz , Julian Nickerl

We present an online method for estimating the cost of solving SAT problems. Modern SAT solvers present several challenges to estimate search cost including non-chronological backtracking, learning and restarts. Our method uses a linear…

Artificial Intelligence · Computer Science 2009-03-05 Shai Haim , Toby Walsh

We present two different methods for estimating the cost of solving SAT problems. The methods focus on the online behaviour of the backtracking solver, as well as the structure of the problem. Modern SAT solvers present several challenges…

Artificial Intelligence · Computer Science 2009-07-30 Shai Haim , Toby Walsh