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'Identifiability and Asymptotics in Learning Homogeneous Linear ODE Systems from Discrete Observations', by Yuanyuan Wang, Wei Huang, Mingming Gong, Xi Geng, Tongliang Liu, Kun Zhang, Dacheng Tao.
http://jmlr.org/papers/v25/22-1159.html
#estimation #estimator #odes
'Stable Implementation of Probabilistic ODE Solvers', by Nicholas Krämer, Philipp Hennig.
http://jmlr.org/papers/v25/20-1423.html
#numerical #solvers #odes
`The fast multipole method (FMM), introduced by Rokhlin Jr. and Greengard has been said to be one of the top ten #algorithms of the 20th century. The FMM algorithm reduces the complexity of matrix-vector multiplication involving a certain type of dense #matrix which can arise out of many #physical #systems.`
en.wikipedia.orgFast multipole method - Wikipedia
Faster Training of Neural ODEs Using Gauß–Legendre Quadrature
Alexander Luke Ian Norcliffe, Marc Peter Deisenroth
Action editor: Kevin Swersky.
in many ways, #mathematical #physics is based on the #smoothing properties of the #integral
Beautiful PDE visualization tool!
Here's a reaction-diffusion system with a pic of Turing himself as the initial condition.
Who am I? I was a peddler of #odes and #nonsense . In #newyorkcity , I worked #offbroadway as an #actor for nine years.
I was a slinger of #words , established myself as a #singersongwriter in the city, and derived/produced two one man #soloperformance shows - one about #mentalillness and working on an allegedly #haunted ship, an another, a one man #hobo #musical. You can explore/purchase the #music and more at JaraJones.com
I was a #playwright , a #poet , a #voice / #voiceover #artist .
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We build these using data collected from clinical trials (e.g. blood samples, clinical observations, scores, X-rays and suchlike - multiple samples, over time, from many subjects), which we use to build compartmental models which approximate what is happening over time using ordinary differential equations (#ODEs).