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The paper looks at a scaled variant of the stochastic gradient descent algorithm for the matrix completion problem. Specifically, we propose a novel matrix-scaling of the partial derivatives that acts as an efficient preconditioning for the…

Machine Learning · Computer Science 2016-10-06 Bamdev Mishra , Rodolphe Sepulchre

The ability to track the optimum of dynamic environments is important in many practical applications. In this paper, the capability of a hybrid genetic algorithm (HGA) to track the optimum in some dynamic environments is investigated for…

Neural and Evolutionary Computing · Computer Science 2013-08-27 Quan Yuan , Zhixin Yang

Consistent hashing is a technique that can minimize key remapping when the number of hash buckets changes. The paper proposes a fast consistent hash algorithm (called power consistent hash) that has $O(1)$ expected time for key lookup,…

Data Structures and Algorithms · Computer Science 2023-12-29 Eric Leu

This paper is motivated by the theory of sequential dynamical systems, developed as a basis for a mathematical theory of computer simulation. It contains a classification of finite dynamical systems on binary strings, which are obtained by…

Dynamical Systems · Mathematics 2007-05-23 Luis Garcia , Abdul Salam Jarrah , Reinhard Laubenbacher

Perceptual image hashing methods are often applied in various objectives, such as image retrieval, finding duplicate or near-duplicate images, and finding similar images from large-scale image content. The main challenge in image hashing…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Rubel Biswas , Pablo Blanco-Medina

Data similarity (or distance) computation is a fundamental research topic which fosters a variety of similarity-based machine learning and data mining applications. In big data analytics, it is impractical to compute the exact similarity of…

Data Structures and Algorithms · Computer Science 2025-03-12 Wei Wu , Bin Li

Most existing approaches to hashing apply a single form of hash function, and an optimization process which is typically deeply coupled to this specific form. This tight coupling restricts the flexibility of the method to respond to the…

Machine Learning · Computer Science 2013-09-10 Guosheng Lin , Chunhua Shen , David Suter , Anton van den Hengel

We introduce an efficient computational framework for hashing data belonging to multiple modalities into a single representation space where they become mutually comparable. The proposed approach is based on a novel coupled siamese neural…

Computer Vision and Pattern Recognition · Computer Science 2012-07-09 Jonathan Masci , Michael M. Bronstein , Alexander A. Bronstein , Jürgen Schmidhuber

We present a complexity reduction algorithm for a family of parameter-dependent linear systems when the system parameters belong to a compact semi-algebraic set. This algorithm potentially describes the underlying dynamical system with…

Systems and Control · Computer Science 2012-09-25 Farhad Farokhi , Henrik Sandberg , Karl H. Johansson

We introduce dynamic nested sampling: a generalisation of the nested sampling algorithm in which the number of "live points" varies to allocate samples more efficiently. In empirical tests the new method significantly improves calculation…

Computation · Statistics 2019-08-27 Edward Higson , Will Handley , Mike Hobson , Anthony Lasenby

Efficiently computing fast paths in large scale dynamic road networks (where dynamic traffic information is known over a part of the network) is a practical problem faced by several traffic information service providers who wish to offer a…

Networking and Internet Architecture · Computer Science 2007-06-27 Giacomo Nannicini , Philippe Baptiste , Gilles Barbier , Daniel Krob , Leo Liberti

Zigzag persistent homology is a powerful generalisation of persistent homology that allows one not only to compute persistence diagrams with less noise and using less memory, but also to use persistence in new fields of application.…

Computational Geometry · Computer Science 2016-08-23 Clément Maria , Steve Oudot

As the size of modern data sets exceeds the disk and memory capacities of a single computer, machine learning practitioners have resorted to parallel and distributed computing. Given that optimization is one of the pillars of machine…

Machine Learning · Statistics 2019-12-10 Biyi Fang , Diego Klabjan

A fast algorithm for B-splines in mixed models is presented. B-splines have local support and are computational attractive, because the corresponding matrices are sparse. A key element of the new algorithm is that the local character of…

Computation · Statistics 2015-02-17 Martin P. Boer

This short paper gives an introduction to a research project to analyze how digital documents are structured and described. Using a phenomenological approach, this research will reveal common patterns that are used in data, independent from…

Digital Libraries · Computer Science 2014-08-12 Jakob Voß

We survey recent progress on efficient algorithms for approximately diagonalizing a square complex matrix in the models of rational (variable precision) and finite (floating point) arithmetic. This question has been studied across several…

Symbolic Computation · Computer Science 2023-05-19 Nikhil Srivastava

Data fragmentation and dispersal over multiple clouds is a way of data protection against honest-but-curious storage or service providers. In this paper, we introduce a novel algorithm for data fragmentation that is particularly well…

Cryptography and Security · Computer Science 2018-04-06 Katarzyna Kapusta , Gerard Memmi

In this paper, we consider the general problem of obstacle avoidance based on dynamical system. The modulation matrix is developed by introducing orthogonal coordinates, which makes the modulation matrix more reasonable. The new…

Computer Vision and Pattern Recognition · Computer Science 2019-02-19 Weiya Ren

Compiling the statistics of large-scale IP address data is an essential task in network traffic measurement. The statistical results are used to evaluate the potential impact of user behaviors on network traffic. This requires algorithms…

Computational Complexity · Computer Science 2025-02-24 Hui Liu , Yi Cao , Zehan Cai , Hua Mao , Jie Chen

Persistent homology is a topological feature used in a variety of applications such as generating features for data analysis and penalizing optimization problems. We develop an approach to accelerate persistent homology computations…

Algebraic Topology · Mathematics 2023-01-19 Yuan Luo , Bradley J. Nelson
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