Nonnegative matrix and tensor factorizations by Andrzej Cichocki, Rafal Zdunek, Anh Huy Phan, Shun-ichi

By Andrzej Cichocki, Rafal Zdunek, Anh Huy Phan, Shun-ichi Amari

This ebook offers a huge survey of versions and effective algorithms for Nonnegative Matrix Factorization (NMF). This comprises NMF’s numerous extensions and variations, specially Nonnegative Tensor Factorizations (NTF) and Nonnegative Tucker Decompositions (NTD). NMF/NTF and their extensions are more and more used as instruments in sign and snapshot processing, and knowledge research, having garnered curiosity as a result of their potential to supply new insights and appropriate information regarding the advanced latent relationships in experimental info units. it is recommended that NMF offers significant elements with actual interpretations; for instance, in bioinformatics, NMF and its extensions were effectively utilized to gene expression, series research, the useful characterization of genes, clustering and textual content mining. As such, the authors specialise in the algorithms which are most valuable in perform, the quickest, so much powerful, and compatible for large-scale types.

Key positive aspects:

  • Acts as a unmarried resource reference advisor to NMF, collating details that's largely dispersed in present literature, together with the authors’ personal lately built suggestions within the topic zone.
  • Uses generalized expense features akin to Bregman, Alpha and Beta divergences, to offer functional implementations of various kinds of powerful algorithms, specifically Multiplicative, Alternating Least Squares, Projected Gradient and Quasi Newton algorithms.
  • Provides a comparative research of the various tools as a way to determine approximation mistakes and complexity.
  • Includes pseudo codes and optimized MATLAB resource codes for the majority algorithms offered within the booklet.

The expanding curiosity in nonnegative matrix and tensor factorizations, in addition to decompositions and sparse illustration of information, will make sure that this publication is vital examining for engineers, scientists, researchers, practitioners and graduate scholars throughout sign and picture processing; neuroscience; facts mining and information research; machine technology; bioinformatics; speech processing; biomedical engineering; and multimedia.

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Lectures on Quantum Gravity by Andres Gomberoff, Donald Marolf

By Andres Gomberoff, Donald Marolf

The 2002 Pan-American complex reviews Institute university on Quantum Gravity used to be held on the Centro de Estudios Cientificos (CECS),Valdivia, Chile, January 4-14, 2002. the college featured lectures via ten audio system, and was once attended through approximately 70 scholars from over 14 international locations. a main aim was once to foster interplay and verbal exchange among members from various cultures, either within the layman’s experience of the time period and by way of techniques to quantum gravity. we are hoping that the hyperlinks shaped through scholars and the college will persist all through their expert lives, carrying on with to advertise interplay and the basic trade of principles that drives study forward.

This quantity comprises greater and up-to-date types of the lectures given on the tuition. it's been ready either as a reminder for the individuals, and in order that those pedagogical introductions may be made to be had to others who have been not able to wait. we predict them to serve scholars of every age well.

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Electroweak Processes in External Electromagnetic Fields by Alexander Kuznetsov, Nickolay Mikheev

By Alexander Kuznetsov, Nickolay Mikheev

This ebook explores the intersection of particle physics, astrophysics, and cosmology often called astroparticle physics. severe electromagnetic stipulations found in puslars and different stars permit for investigations of the position of quantum techniques within the dynamics of astrophysical gadgets and within the early Universe. established partly at the authors' personal paintings, this ebook systematically describes a number of equipment of calculation of the consequences of sturdy electromagnetic fields in quantum procedures utilizing analytical ideas of the Dirac equation and Feynmann diagrams at either the loop and tree degrees. the dignity is emphasised on the proscribing circumstances: the case of a really powerful magnetic box, and the case of a crossed box. The presentation will entice graduate scholars of theoretical physics with earlier figuring out of Quantum box concept (QFT) and the traditional version of Electroweak Interactions, in addition to experts in QFT wishing to understand extra concerning the difficulties of quantum phenomena in exterior electomagnetic fields.

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The Janus Faces of Genius: The Role of Alchemy in Newton's by Betty Jo Teeter Dobbs

By Betty Jo Teeter Dobbs

During this significant reevaluation of Isaac Newton's highbrow lifestyles, Betty Jo Teeter Dobbs exhibits how his pioneering paintings in arithmetic, physics, and cosmology was once intertwined together with his research of alchemy. Professor Dobbs argues that to Newton these a number of highbrow targets have been all methods of coming near near fact, and that Newton's basic target used to be no longer the learn of nature for its personal sake yet really an try to identify a unified approach that might have integrated either usual and divine ideas. She additionally argues that Newton's technique was once a lot broader than glossy students have formerly meant, and she or he lines the evolution of his concept at the intertwined difficulties of the microcosmic "vegetable spirit" of alchemy and the "cause" of the cosmic precept of gravitation.

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Every Body is Smart by Monica Ashour

By Monica Ashour

Every physique is sensible: God is helping Me pay attention and select describes different ways in which our bodies educate us approximately ourselves. It introduces to youngsters a long time 2–5 easy methods to comprehend once they have to reply instantly to what their our bodies are telling them, and after they have to be sufferer. all people makes sense is an easy, enjoyable advent to the methods bodies check with us and the way we will respond.

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Martyrdom and Identity: The Self on Trial by Michael P. Jensen

By Michael P. Jensen

What does Christian martyrdom let us know approximately being a self? I argue that Christian martyrdom offers a coherent and compelling narration of the self by way of the narrative of the existence and demise of Jesus Christ: a story that orients the self in wish in the direction of the nice and turns the self in the direction of attractiveness of and sacrificial provider of different selves. In dialog with writers equivalent to Salman Rushdie and Charles Taylor and caused by means of T.S. Eliot's homicide within the Cathedral, I express that Christian discipleship isn't the course of creating oneself securely, or pursuing the nice made attainable via collaboration with earthly strength, or making oneself an id via motion in accordance with a few excellent, or looking earthly or heavenly renown, yet is very narrated within the mild of the event of pierasmos (temptation/testing) and with regards to God's windfall.

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