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This paper presents new approaches for finding the determinant and inverse of a matrix. The choice of pivot selection is kept arbitrary and can be made according to the users need. So the ill conditioned matrices can be handled easily. The…

Partition functions of probability distributions are important quantities for model evaluation and comparisons. We present a new method to compute partition functions of complex and multimodal distributions. Such distributions are often…

机器学习 · 统计学 2016-05-27 David Carlson , Patrick Stinson , Ari Pakman , Liam Paninski

The parallel algorithm for loading large sparse matrices from files into distributed memories of high performance computing (HPC) systems is presented. This algorithm was designed specially for matrices stored in files in the space-effcient…

分布式、并行与集群计算 · 计算机科学 2014-12-30 Daniel Langr , Ivan Šimeček , Pavel Tvrdík

For text retrieval systems, the assumption that all data structures reside in main memory is increasingly common. In this context, we present a novel incremental inverted indexing algorithm for web-scale collections that directly constructs…

信息检索 · 计算机科学 2013-05-06 Nima Asadi , Jimmy Lin

Solving semidefinite programs (SDP) in a short time is the key to managing various mathematical optimization problems. The matrix-completion primal-dual interior-point method (MC-PDIPM) extracts a sparse structure of input SDP by…

最优化与控制 · 数学 2014-05-27 Makoto Yamashita , Kazuhide Nakata

A new approximation method for inverting the Poisson's equation is presented for a continuously distributed and finite-sized source in an unbound domain. The advantage of this image multipole method arises from its ability to place the…

宇宙学与河外天体物理 · 物理学 2015-06-22 James H. H. Chan , Tzihong Chiueh

Inverted indexes are vital in providing fast key-word-based search. For every term in the document collection, a list of identifiers of documents in which the term appears is stored, along with auxiliary information such as term frequency,…

信息检索 · 计算机科学 2019-01-30 Harrie Oosterhuis , J. Shane Culpepper , Maarten de Rijke

Inverted indexes allow to query large databases without needing to search in the database at each query. An important line of research is to construct the most efficient inverted indexes, both in terms of compression ratio and time…

数据库 · 计算机科学 2025-05-06 Yann Barsamian , André Chailloux

An extremely common bottleneck encountered in statistical learning algorithms is inversion of huge covariance matrices, examples being in evaluating Gaussian likelihoods for a large number of data points. We propose general parallel…

统计方法学 · 统计学 2013-12-09 Anjishnu Banerjee , Joshua Vogelstein , David Dunson

This paper explores the performance envelope of "traditional" inverted indexing on modern hardware using the implementation in the open-source Lucene search library. We benchmark indexing throughput on a single high-end multi-core commodity…

信息检索 · 计算机科学 2019-10-29 Jimmy Lin , Lori Paniak , Gordon Boerke

The ELM method has become widely used for classification and regressions problems as a result of its accuracy, simplicity and ease of use. The solution of the hidden layer weights by means of a matrix pseudoinverse operation is a…

神经与进化计算 · 计算机科学 2014-06-02 André van Schaik , Jonathan Tapson

We present a novel Bayesian framework for inverse problems in which the pos terior distribution is interpreted as the intensity measure of a Poisson point process (PPP). The posterior density is approximated using kernel density estimation,…

数值分析 · 数学 2025-10-08 Zhiliang Deng , Zhiyuan Wang , Xiaomei Yang , Xiaofei Guan

The extreme learning machine needs a large number of hidden nodes to generalize a single hidden layer neural network for a given training data-set. The need for more number of hidden nodes suggests that the neural-network is memorizing…

机器学习 · 计算机科学 2019-10-08 Dibyasundar Das , Deepak Ranjan Nayak , Ratnakar Dash , Banshidhar Majhi

The applicability of model checking is hindered by the state space explosion problem in combination with limited amounts of main memory. To extend its reach, the large available capacities of secondary storage such as hard disks can be…

计算机科学中的逻辑 · 计算机科学 2016-05-20 Arnd Hartmanns , Holger Hermanns

In this paper, we propose the frameworks of generalized performance evaluation and generalized controller synthesis. To this end, we give a true concurrent process calculus as the model of systems, and present a lattice-valued performance…

计算机科学中的逻辑 · 计算机科学 2026-05-19 Zining Cao

In this paper, we argue that in many basic algorithms for machine learning, including support vector machine (SVM) for classification, principal component analysis (PCA) for dimensionality reduction, and regression for dependency…

信息论 · 计算机科学 2019-02-19 Mohammad Hossein Mousavi , Mohammad Ali Maddah-Ali , Mahtab Mirmohseni

We consider private polynomial computation (PPC) over noncolluding coded databases. In such a setting a user wishes to compute a multivariate polynomial of degree at most $g$ over $f$ variables (or messages) stored in multiple databases…

信息论 · 计算机科学 2021-06-29 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

Consider the generalized linear least squares (GLS) problem $\min\|Lx\|_2 \ \mathrm{s.t.} \ \|M(Ax-b)\|_2=\min$. The weighted pseudoinverse $A_{ML}^{\dag}$ is the matrix that maps $b$ to the minimum 2-norm solution of this GLS problem. By…

数值分析 · 数学 2024-08-20 Haibo Li

Fault-tolerant distributed applications require mechanisms to recover data lost via a process failure. On modern cluster systems it is typically impractical to request replacement resources after such a failure. Therefore, applications have…

分布式、并行与集群计算 · 计算机科学 2023-01-26 Lukas Hübner , Demian Hespe , Peter Sanders , Alexandros Stamatakis

We introduce a methodology to construct parsimonious probabilistic models. This method makes use of Information Filtering Networks to produce a robust estimate of the global sparse inverse covariance from a simple sum of local inverse…

信息论 · 计算机科学 2017-02-21 Wolfram Barfuss , Guido Previde Massara , T. Di Matteo , Tomaso Aste