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Niall M Mangan
เข้าร่วมเมื่อ 4 ก.ย. 2013
U. Washington Applied Mathematics AMATH 352 Applied Linear Algebra and Numerical Analysis.
วีดีโอ
Inferring biological networks by sparse identification of nonlinear dynamics
มุมมอง 4.5K8 ปีที่แล้ว
Paper can be found here: arxiv.org/abs/1605.08368 TH-cam video of Bruton, Proctor, Kutz SINDy paper: th-cam.com/video/gSCa78TIldg/w-d-xo.html
You show a model starting around 5:20. Could one possibly determine possibly dynamical structures for the unknown parts of the system? I would imagine with enough data and for "logical" systems that the dynamics of an unknown but logical system connected to a known system could possibly be determined up to "some constant". Given something like "least action" if we assume "nature does it best" then, in some sense, this limits the possible dynamics. There is also then some likely "continuity" between systems such as "x1" and "x2". In terms of linear algebra this is essentially "upsampling"(in the sense of lifting). E.g., one is going to have a matrix system that is defined for fewer systems enlarged and the missing components have to be estimated from the structure determined by SINDY. E.g., Suppose you had a system with a rather large number of subsystems such as the human body. One does not know all the systems but many are well understood more or less. Each system is a dynamical system. So the dynamics of the overall is the dynamics of the individuals(more or less).
I wish I could learn from you compared to my university, the way you teach is soooo good
Hi Niall, thank you for the explanation, this is super great! By the way, could you please share the source code (just like Brunton did), it will be really helpful for us viewers to understand the process. Thanks!
Oh yeah! That'll be really great, thank you
Yeah I was looking for the source code too. Hope you don't mind to share the code for us. I'd be really grateful if u do. Thanks.
Source code is already available for most examples. Easiest way to find it is by going to my website: niallmangan.com on the research page.
@@niallmmangan4013 Wow. Such a big help for my project, thank you so much.
658 views and two of them are Indians...... :).we smart and also are everywhere :D:D
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Nice subject.............and how the screen is projected before you ..can you please say it
tnanks