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Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

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Hello. I was training a simple UODE and am encountering this error when running `sciml_train()`. The error seems to be somewhere in the interface between `DiffEqFlux` and `GalacticOptim`. I have...

All the collocation methods only work when the timescale is correct. This is easily fixed by artificially "normalising" the time-scale. But when the data has multiple dimensions, with multiple orders...

I'm not certain if this is a DiffEqFlux error or a Zygote error, considering it triggers depending on some seemingly harmless changes to the source code. MWE: ``` julia> using...

I am using a combination of packages to use ANNs within coupled ordinary differential equations. When coupling less than 20 ODEs everything runs smoothly, whereas for more than 20 ODEs...

I need to calculate the Laplacian of the densities modelled by a normalizing flow w.r.t. to the inputs. On CPU, I can e.g. use the following code (which works, but...

Considering the amount of code rewritten, it makes more sense to define it as a struct or purely define one ff layer that encapsulates a fourier feature encoding and dense...

The noise term may be weighted incorrectly for SGLD and pSGLD. I am just learning this topic and apologize if I have misread the theory. For SGLD, on page https://diffeqflux.sciml.ai/stable/examples/BayesianNODE_SGLD/,...

When I run this code: ```julia using DiffEqFlux, DifferentialEquations, GalacticOptim, Distributions nn = Chain( Dense(1, 1, tanh), ) |> f32 tspan = (0.0f0, 1.0f0) sensealg = InterpolatingAdjoint(autojacvec=false) ffjord_mdl = FFJORD(nn,...

I'd like to send to gpu a NeuralODE object (embedded neural network included), instead of creating a NeuralODE out of a model already on gpu. Below an example: ```julia julia>...