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020 _a9783031664977
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024 7 _a10.1007/978-3-031-66497-7
_2doi
050 4 _aQA221-224
072 7 _aPBKJ
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072 7 _aMAT034000
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245 1 0 _aExplorations in the Mathematics of Data Science
_h[electronic resource] :
_bThe Inaugural Volume of the Center for Approximation and Mathematical Data Analytics /
_cedited by Simon Foucart, Stephan Wojtowytsch.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXIV, 286 p. 24 illus., 20 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
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490 1 _aApplied and Numerical Harmonic Analysis,
_x2296-5017
505 0 _aPreface -- S-Procedure Relaxation: a Case of Exactness Involving Chebyshev Centers -- Neural networks: deep, shallow, or in between? -- Qualitative neural network approximation over R and C -- Linearly Embedding Sparse Vectors from l2 to l1 via Deterministic Dimension-Reducing Maps -- Ridge Function Machines -- Learning Collective Behaviors from Observation -- Provably Accelerating Ill-Conditioned Low-Rank Estimation via Scaled Gradient Descent, Even with Overparameterization -- CLAIRE: Scalable GPU-Accelerated Algorithms for Diffeomorphic Image Registration in 3D -- A genomic tree based sparse solver -- A qualitative difference between gradient flows of convex functions in finite- and infinite-dimensional Hilbert spaces.
520 _aThis edited volume reports on the recent activities of the new Center for Approximation and Mathematical Data Analytics (CAMDA) at Texas A&M University. Chapters are based on talks from CAMDA’s inaugural conference – held in May 2023 – and its seminar series, as well as work performed by members of the Center. They showcase the interdisciplinary nature of data science, emphasizing its mathematical and theoretical foundations, especially those rooted in approximation theory.
650 0 _aApproximation theory.
_974825
650 0 _aComputer science
_xMathematics.
_964041
650 0 _aInformation visualization.
_964751
650 0 _aQuantitative research.
650 0 _aData structures (Computer science).
_966708
650 0 _aInformation theory.
_957783
650 1 4 _aApproximations and Expansions.
_974827
650 2 4 _aMathematical Applications in Computer Science.
_965518
650 2 4 _aData and Information Visualization.
_966435
650 2 4 _aData Analysis and Big Data.
650 2 4 _aData Structures and Information Theory.
_966709
700 1 _aFoucart, Simon.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_984209
700 1 _aWojtowytsch, Stephan.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_984210
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031664960
776 0 8 _iPrinted edition:
_z9783031664984
776 0 8 _iPrinted edition:
_z9783031664991
830 0 _aApplied and Numerical Harmonic Analysis,
_x2296-5017
_984211
856 4 0 _uhttps://doi.org/10.1007/978-3-031-66497-7
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
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