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Smaller generalization error derived for a deep residual neural network compared with shallow networks

Kammonen, Aku (author)
King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal 23955, Saudi Arabia.
Kiessling, Jonas (author)
KTH,Matematik (Inst.),H-Ai AB, Box 5216, S-10245 Stockholm, Sweden.
Plechac, Petr (author)
Univ Delaware, Dept Math Sci, Newark, DE 19717 USA.
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Sandberg, Mattias (author)
KTH,Numerisk analys, NA
Szepessy, Anders, 1960- (author)
KTH,Numerisk analys, NA
Tempone, Raul (author)
King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal 23955, Saudi Arabia.;Rhein Westfal TH Aachen, Dept Math, D-52062 Aachen, Germany.
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King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal 23955, Saudi Arabia Matematik (Inst.) (creator_code:org_t)
2022-09-12
2022
English.
In: IMA Journal of Numerical Analysis. - : Oxford University Press (OUP). - 0272-4979 .- 1464-3642.
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • Estimates of the generalization error are proved for a residual neural network with L random Fourier features layers (z) over bar (l+1) = (z) over bar (l) + Re Sigma(K)(k=1)(b) over bar (lk) e(i omega lk (z) over barl) + Re Sigma(K)(k=1)

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

residual network
deep random feature networks
supervised learning
error estimates
layer-by-layer algorithm

Publication and Content Type

ref (subject category)
art (subject category)

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