000 04711nam a2200637 i 4500
001 6813050
003 IEEE
005 20200413152851.0
006 m||||eo||d||||||||
007 cr an |||m|||a
008 081101s2008 caua fob 000 0 eng d
020 _a9781598296600 (electronic bk.)
020 _a9781598296594 (pbk.)
024 7 _a10.2200/S00130ED1V01Y200806AIM004
_2doi
035 _a(OCoLC)235585411
035 _a(CaBNVSL)gtp00531511
040 _aCaBNVSL
_cCaBNVSL
_dCaBNVSL
050 4 _aQ387
_b.M247 2008
082 0 4 _a006.3/32
_222
100 1 _aMahadevan, Sridhar,
_d1960-
245 1 0 _aRepresentation discovery using harmonic analysis
_h[electronic resource] /
_cSridhar Mahadevan.
250 _a1st ed.
260 _aSan Rafael, Calif (1537 Fourth Street, San Rafael, CA 94901 USA) :
_bMorgan & Claypool Publishers,
_c2008.
300 _a1 electronic text (xii, 147 p. : ill.) :
_bdigital file.
490 1 _aSynthesis lectures on artificial intelligence and machine learning,
_x1939-4616 ;
_v#4
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
500 _aPart of: Synthesis digital library of engineering and computer science.
500 _aSeries from website.
504 _aIncludes bibliographical references (p. 137-145).
505 0 _aOverview -- Vector spaces -- Fourier bases on graphs -- Multiscale bases on graphs -- Scaling to large spaces -- Case study: State-space planning -- Case study: computer graphics -- Case study: natural language -- Future directions.
506 1 _aAbstract freely available; full-text restricted to subscribers or individual document purchasers.
510 0 _aCompendex
510 0 _aINSPEC
510 0 _aGoogle scholar
510 0 _aGoogle book search
520 _aRepresentations are at the heart of artificial intelligence (AI). This book is devoted to the problem of representation discovery: how can an intelligent system construct representations from its experience? Representation discovery re-parameterizes the state space - prior to the application of information retrieval, machine learning, or optimization techniques - facilitating later inference processes by constructing new task-specific bases adapted to the state space geometry. This book presents a general approach to representation discovery using the framework of harmonic analysis, in particular Fourier and wavelet analysis. Biometric compression methods, the compact disc, the computerized axial tomography (CAT) scanner in medicine, JPEG compression, and spectral analysis of time-series data are among the many applications of classical Fourier and wavelet analysis. A central goal of this book is to show that these analytical tools can be generalized from their usual setting in (infinite-dimensional) Euclidean spaces to discrete (finite-dimensional) spaces typically studied in many subfields of AI. Generalizing harmonic analysis to discrete spaces poses many challenges: a discrete representation of the space must be adaptively acquired; basis functions are not pre-defined, but rather must be constructed. Algorithms for efficiently computing and representing bases require dealing with the curse of dimensionality. However, the benefits can outweigh the costs, since the extracted basis functions outperform parametric bases as they often reflect the irregular shape of a particular state space. Case studies from computer graphics, information retrieval, machine learning, and state space planning are used to illustrate the benefits of the proposed framework, and the challenges that remain to be addressed. Representation discovery is an actively developing field, and the author hopes this book will encourage other researchers to explore this exciting area of research.
530 _aAlso available in print.
588 _aTitle from PDF t.p. (viewed on Nov. 1, 2008).
650 0 _aKnowledge representation (Information theory)
_xMathematics.
650 0 _aWavelets (Mathematics)
650 0 _aFourier analysis.
690 _aArtificial intelligence.
690 _aDimensionality reduction.
690 _aFeature construction.
690 _aHarmonic analysis.
690 _aImage processing.
690 _aInformation retrieval.
690 _aLinear algebra.
690 _aMachine learning.
690 _aNatural language processing.
690 _aState space planning.
730 0 _aSynthesis digital library of engineering and computer science.
830 0 _aSynthesis lectures on artificial intelligence and machine learning ;
_v#4.
856 4 2 _3Abstract with links to resource
_uhttp://ieeexplore.ieee.org/servlet/opac?bknumber=6813050
999 _c561634
_d561634