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Smale’s 18th Problem and the Barriers of Deep Learning-4mm
www.damtp.cam.ac.uk/user/mjc249/talks/OWML_mjc11 May 2022: 23/40. The world of neural networks. 24/40. Need: Classification theory saying what can/cannot be done. -
fluids
www.damtp.cam.ac.uk/user/tong/fluids/fluids4.pdf28 Nov 2022: capillary waves. (See the large k limit of (4.24).) This is to be expected: waves with. ... t+ u r! =. 1. 2r rP! ru r2u (5.24). -
Residual Dynamic Mode Decomposition Rigorous data-driven computation…
www.damtp.cam.ac.uk/user/mjc249/talks/mpEDMD_talk.pdf18 Nov 2022: mpEDMD: First convergent Galerkin method! 24/34. Numerical examples. 25/34. Lorenz system: scalar-valued spec measሶ𝑥1 = 10 𝑥2 𝑥1 , ሶ𝑥2 = 𝑥1 28 𝑥3 𝑥2, ሶ𝑥3 = 𝑥1𝑥2. -
J. Fluid Mech. (2018), vol. 856, pp. 921–957. c© ...
www.damtp.cam.ac.uk/user/mt599/papers/2018-jfm.pdf10 May 2022: 2.24). Notably, this expression can be simplified into. s0 =sb(rc) r s(. -
A programme for computational analysis in the age of data
www.damtp.cam.ac.uk/user/mjc249/talks/SCI_computer_assisted%20proofs.pdf12 Sep 2022: 23/36. What went wrong? 24/36. What went wrong? 24/36. Recall complexity of Karmarkar’s algorithm: 𝑂(𝑛3.5𝐿2 log 𝐿 log log 𝐿 ). Question: What happens with 𝐿 =? -
Pseudoergodic operators and periodic boundary conditions
www.damtp.cam.ac.uk/user/mjc249/pdfs/Pseudoergodic_BCs.pdf22 Jul 2022: In particular, we refer the reader to work by Böttcher [14,24],Böttcher and Silbermann [22], Lindner [59, 61], Marletta [62], and Marletta andScheichl [63]. -
Order and information in the patterns of spinning magnetic…
www.damtp.cam.ac.uk/user/lauga/papers/208.pdf29 Jan 2022: Wang et al., Sci. Adv. 8, eabk0685 (2022) 14 January 2022. S C I E N C E A D V A N C E S | R E S E A R C H A R T I C L E. 1 of 14. C O N D E N S E D M A T T E R P H Y S I C S. Order and information in the patterns of spinning magnetic micro-disks at -
Elastohydrodynamic Synchronization of Rotating Bacterial Flagella
www.damtp.cam.ac.uk/user/lauga/papers/210.pdf18 May 2022: Niedermayer, B. Eckhardt, and P. Lenz, Chaos 18,. 037128 (2008).[24] D. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/dynamics/clas.pdf21 Oct 2022: 2.4.1 Noether’s Theorem 24. 2.5 Applications 26. 2.5.1 Bead on a Rotating Hoop 26. ... kinetic energy,. T(t2) T(t1) =i. Fexti dri. i 6=j. Fij dri (1.24). -
Computing semigroups and solutions of time-fractional PDEs with error …
www.damtp.cam.ac.uk/user/mjc249/talks/malaga_mjc4 Feb 2022: 24/34. Fractional beam equations. x. u = y = displacement F (x,t) = forcing. ... ρ = 1, F (x,t) = cos(πt)(24 π2(1 x2)2), y(x, 0) = (1 x2)2, yt.
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