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We revisit parallel-innermost term rewriting as a model of parallel computation on inductive data structures and provide a corresponding notion of runtime complexity parametric in the size of the start term. We propose automatic techniques…

Logic in Computer Science · Computer Science 2026-04-08 Thaïs Baudon , Carsten Fuhs , Laure Gonnord

The Value Iteration (VI) algorithm is an iterative procedure to compute the value function of a Markov decision process, and is the basis of many reinforcement learning (RL) algorithms as well. As the error convergence rate of VI as a…

Machine Learning · Computer Science 2025-06-12 Jongmin Lee , Amin Rakhsha , Ernest K. Ryu , Amir-massoud Farahmand

PageRank is arguably the most popular ranking algorithm which is being applied in real systems ranging from information to biological and infrastructure networks. Despite its outstanding popularity and broad use in different areas of…

Physics and Society · Physics 2015-12-09 Manuel Sebastian Mariani , Matus Medo , Yi-Cheng Zhang

A fundamental problem arising in many applications in Web science and social network analysis is, given an arbitrary approximation factor $c>1$, to output a set $S$ of nodes that with high probability contains all nodes of PageRank at least…

Data Structures and Algorithms · Computer Science 2015-03-20 Christian Borgs , Michael Brautbar , Jennifer Chayes , Shang-Hua Teng

In this work, we study how to implement a distributed algorithm for the power method in a parallel manner. As the existing distributed power method is usually sequentially updating the eigenvectors, it exhibits two obvious disadvantages: 1)…

Information Theory · Computer Science 2021-08-16 Jiaying Li , Sissi Xiaoxiao Wu , Qiang Li , Anna Scaglione

PageRank is a widespread model for analysing the relative relevance of nodes within large graphs arising in several applications. In the current paper, we present a cost-effective Hessenberg-type method built upon the Hessenberg process for…

Numerical Analysis · Mathematics 2023-06-13 Xian-Ming Gu , Siu-Long Lei , Ke Zhang , Zhao-Li Shen , Chun Wen , Bruno Carpentieri

This note provides a simple example demonstrating that, if exact computations are allowed, the number of iterations required for the value iteration algorithm to find an optimal policy for discounted dynamic programming problems may grow…

Artificial Intelligence · Computer Science 2013-12-25 Eugene A. Feinberg , Jefferson Huang

In this paper, we consider the shift-inverse method with Richardson iteration step for the eigenvalue problems. It will be shown that the convergence speed depends heavily on the eigenvalue gap between the desired eigenvalue and undesired…

Numerical Analysis · Mathematics 2018-04-06 Yunhui He , Hehu Xie

Runtime performance variability at the servers has been a major issue, hindering the predictable and scalable performance in modern distributed systems. Executing requests or jobs redundantly over multiple servers has been shown to be…

Performance · Computer Science 2019-10-10 Mehmet Fatih Aktas , Emina Soljanin

We review the method of the calculation of multiloop integrals recently suggested in Ref.[Lee2010]. A simple method of derivation of the dimensional recurrence relation suitable for automatization is given. Some new analytic results are…

High Energy Physics - Phenomenology · Physics 2010-12-13 R. N. Lee

Relational Markov Decision Processes are a useful abstraction for complex reinforcement learning problems and stochastic planning problems. Recent work developed representation schemes and algorithms for planning in such problems using the…

Artificial Intelligence · Computer Science 2012-06-26 Chenggang Wang , Roni Khardon

Though competitive analysis has been a very useful performance measure for the quality of online algorithms, it is recognized that it sometimes fails to distinguish between algorithms of different quality in practice. A number of…

Data Structures and Algorithms · Computer Science 2015-03-19 Joan Boyar , Kim S. Larsen , Abyayananda Maiti

This paper proposes a thought experiment to search for efficient bounded algorithms of NPC problems by machine enumeration. The key contributions are: -- On Universal Turing Machines, a program's time complexity should be characterized as:…

Computational Complexity · Computer Science 2012-10-09 YuQian Zhou

Considering the multimodal signals of search items is beneficial for retrieval effectiveness. Especially in web table retrieval (WTR) experiments, accounting for multimodal properties of tables boosts effectiveness. However, it still…

Information Retrieval · Computer Science 2023-10-19 Björn Engelmann , Timo Breuer , Philipp Schaer

In machine learning, metric elicitation refers to the selection of performance metrics that best reflect an individual's implicit preferences for a given application. Currently, metric elicitation methods only consider metrics that depend…

Machine Learning · Computer Science 2025-01-03 Chethan Bhateja , Joseph O'Brien , Afnaan Hashmi , Eva Prakash

Neural information retrieval (IR) systems have progressed rapidly in recent years, in large part due to the release of publicly available benchmarking tasks. Unfortunately, some dimensions of this progress are illusory: the majority of the…

Evaluation metrics are an essential part of a ranking system, and in the past many evaluation metrics have been proposed in information retrieval and Web search. Discounted Cumulated Gains (DCG) has emerged as one of the evaluation metrics…

Information Retrieval · Computer Science 2012-12-27 Ke Zhou , Hongyuan Zha , Gui-Rong Xue , Yong Yu

For large-scale eigenvalue problems requiring many mutually orthogonal eigenvectors, traditional numerical methods suffer substantial computational and communication costs with limited parallel scalability, primarily due to explicit…

Numerical Analysis · Mathematics 2026-01-12 Shengyue Wang , Aihui Zhou

The famous Policy Iteration algorithm alternates between policy improvement and policy evaluation. Implementations of this algorithm with several variants of the latter evaluation stage, e.g, $n$-step and trace-based returns, have been…

Artificial Intelligence · Computer Science 2018-08-01 Yonathan Efroni , Gal Dalal , Bruno Scherrer , Shie Mannor

This study presents a theoretical analysis on the efficiency of interleaving, an efficient online evaluation method for rankings. Although interleaving has already been applied to production systems, the source of its high efficiency has…

Information Retrieval · Computer Science 2023-06-21 Kojiro Iizuka , Hajime Morita , Makoto P. Kato