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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

Rank-1 modifications in k-times (k > 1) often are performed to achieve rank-k modification. We propose a rank- k modification for enhancing computational efficiency. As the first step towards a rank- k modification, an algorithm to perform…

Numerical Analysis · Mathematics 2017-06-05 HyungSeon Oh , Zhe Hu

In this paper, we propose a new coded computing technique called "substitute decoding" for general iterative distributed computation tasks. In the first part of the paper, we use PageRank as a simple example to show that substitute decoding…

Information Theory · Computer Science 2018-05-17 Yaoqing Yang , Malhar Chaudhari , Pulkit Grover , Soummya Kar

Performance evaluations are critical for quantifying algorithmic advances in reinforcement learning. Recent reproducibility analyses have shown that reported performance results are often inconsistent and difficult to replicate. In this…

Machine Learning · Computer Science 2020-08-14 Scott M. Jordan , Yash Chandak , Daniel Cohen , Mengxue Zhang , Philip S. Thomas

We consider an online load balancing problem and its extensions in the framework of repeated games. On each round, the player chooses a distribution (task allocation) over $K$ servers, and then the environment reveals the load of each…

Data Structures and Algorithms · Computer Science 2020-07-22 Yaxiong Liu , Kohei Hatano , Eiji Takimoto

In-memory computing with crosspoint resistive memory arrays has gained enormous attention to accelerate the matrix-vector multiplication in the computation of data-centric applications. By combining a crosspoint array and feedback…

Computational Complexity · Computer Science 2020-05-12 Zhong Sun , Giacomo Pedretti , Elia Ambrosi , Alessandro Bricalli , Daniele Ielmini

The quantum mechanical expression relating two commuting operators is reformulated such that the power method (also called method of moments) for iteratively calculating eigenvalues and eigenvectors becomes applicable. The new iterative…

Quantum Physics · Physics 2015-07-22 Wolfgang A. Berger

As the use of web is increasing more day by day, the web users get easily lost in the web's rich hyper structure. The main aim of the owner of the website is to give the relevant information according their needs to the users. We explained…

Information Retrieval · Computer Science 2012-08-10 Laxmi Choudhary , Bhawani Shankar Burdak

The Google matrix is a positive, column-stochastic matrix that is used to compute the pagerank of all the web pages on the Internet: the eigenvector corresponding to the eigenvalue 1 is the pagerank vector. Due to its huge dimension, of the…

Rings and Algebras · Mathematics 2025-10-20 Lars Eldén

Finding a good approximation of the top eigenvector of a given $d\times d$ matrix $A$ is a basic and important computational problem, with many applications. We give two different quantum algorithms that, given query access to the entries…

Quantum Physics · Physics 2024-11-15 Yanlin Chen , András Gilyén , Ronald de Wolf

Inference algorithms based on evolving interactions between replicated solutions are introduced and analyzed on a prototypical NP-hard problem - the capacity of the binary Ising perceptron. The efficiency of the algorithm is examined…

Disordered Systems and Neural Networks · Physics 2015-06-15 Roberto C. Alamino , Juan P. Neirotti , David Saad

The question of knowing whether the policy Iteration algorithm (PI) for solving Markov Decision Processes (MDPs) has exponential or (strongly) polynomial complexity has attracted much attention in the last 50 years. Recently, Fearnley…

Computer Science and Game Theory · Computer Science 2011-08-19 Romain Hollanders , Jean-Charles Delvenne , Raphaël Jungers

PageRank (PR) is an algorithm originally developed by Google to evaluate the importance of web pages. Considering how deeply rooted Google's PR algorithm is to gathering relevant information or to the success of modern businesses, the…

Physics and Society · Physics 2012-12-10 Seung-Woo Son , Claire Christensen , Peter Grassberger , Maya Paczuski

This article provides an alternative perspective for measuring author impact by applying PageRank algorithm to a coauthorship network. A weighted PageRank algorithm considering citation and coauthorship network topology is proposed. We test…

Digital Libraries · Computer Science 2010-12-23 Erjia Yan , Ying Ding

In the search engine of Google, the PageRank algorithm plays a crucial role in ranking the search results. The algorithm quantifies the importance of each web page based on the link structure of the web. We first provide an overview of the…

Systems and Control · Computer Science 2012-03-30 Hideaki Ishii , Roberto Tempo

The aim of this paper is to present the recently proposed fluid diffusion based algorithm in the general context of the matrix inversion problem associated to the Gauss-Seidel method. We explain the simple intuitions that are behind this…

Numerical Analysis · Mathematics 2012-02-28 Dohy Hong

We introduce an efficient combination of polyhedral analysis and predicate partitioning. Template polyhedral analysis abstracts numerical variables inside a program by one polyhedron per control location, with a priori fixed directions for…

Logic in Computer Science · Computer Science 2014-10-06 David Monniaux , Peter Schrammel

We provide faster algorithms and improved sample complexities for approximating the top eigenvector of a matrix. Offline Setting: Given an $n \times d$ matrix $A$, we show how to compute an $\epsilon$ approximate top eigenvector in time…

Data Structures and Algorithms · Computer Science 2016-05-31 Chi Jin , Sham M. Kakade , Cameron Musco , Praneeth Netrapalli , Aaron Sidford

In this paper, we consider energy demand prediction in district heating systems. Effective energy demand prediction is essential in combined heat power systems when offering electrical energy in competitive electricity markets. To address…

Machine Learning · Computer Science 2022-05-18 Witold Andrzejewski , Jedrzej Potoniec , Maciej Drozdowski , Jerzy Stefanowski , Robert Wrembel , Paweł Stapf

We propose a new iterative procedure to optimize the restart for meta-heuristic algorithms to solve combinatorial optimization, which uses independent algorithm executions. The new procedure consists of either adding new executions or…

Optimization and Control · Mathematics 2017-09-20 Davide Palmigiani , Giovanni Sebastiani