Discover and read the best of Twitter Threads about #sciml
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Why are biologists adopting #julialang #sciml? Performance, metaprogramming, and the development of new abstractions are improving software tools for #computationalbiology #systemsbiology #bioinformatics. Check out this new paper in Nature Methods!
nature.com/articles/s4159…
nature.com/articles/s4159…
In this we detail how #julialang's core compute model gives faster code, with a detailed calculation of the effects of the #python interpreter and kernel launching costs on simulation performance. It's pretty cool how one can pen and paper calculate the 100x expected difference. 
Julia's ecosystem has a complete set of tools for mathematical modeling (#sysbio), #bioinformatics, #machinelearning, and #datascience which we contextualize in the field of biology.
#sciml #machinelearning in chemical engineering using prior scientific knowledge of chemical processes? New paper: we dive deep into using universal differential equation hybrid models and see how well gray boxes can recover the dynamics.
arxiv.org/abs/2303.13555 #julialang
arxiv.org/abs/2303.13555 #julialang
For learning these cases, we used neural networks mixed with known physical dynamics, and mixed it with orthogonal collocation on finite elements (OCFEM) to receive a stable simulation simulation and estimation process.
We looked into learning reaction functions embedded within diffusion-advection equations. This is where you have spatial data associated with a chemical reaction but generally know some properties of the spatial movement, but need to learn the (nonlinear) reaction dynamics
Differentiable programming (dP) is great: train neural networks to match anything w/ gradients! ODEs? Neural ODEs. Physics? Yes. Agent-Based models? Nope, not differentiable... or are they? Check out our new paper at NeurIPS on Stochastic dP!🧵
arxiv.org/abs/2210.08572
arxiv.org/abs/2210.08572
Problem: if you flip a coin with probability p of being heads, how do you generate a code that takes the derivative with respect to that p? Of course that's not well-defined: the coin gives a 0 or 1, so it cannot have "small changes". Is there a better definition?
Its mean (or in math words, "expectation") can be differentiable! So let's change the question: is there a form of automatic differentiation that generates a program which directly calculates the derivative with respect to the mean?
