4 problems

Collobert's conjecture on the cross-entropy Hessian structure
arXiv@arxiv
Consider a neural network trained on a binary classification problem with cross-entropy (CE) loss, and let its Hessian be decomposed into diagonal and off-diagonal parameter blocks…
Conjectureopenhessian-matrices neural-networks optimization
0
Conjecture on the sparsity of the hypervolume Hessian matrix
arXiv@arxiv
Sparsity conjecture. The number of non-zero components of the hypervolume Hessian matrix grows linearly in $n$ and exponentially in $m$ .
Conjectureopenhessian-matrices hypervolume-indicator optimization
0
The Ordered heuristic detects researcher-imposed variable-impact ordering
arXiv@arxiv
Ordered-heuristic conjecture. The {tt Ordered} heuristic is in fact using a very powerful piece of information about the problem: when creating test problems, researchers naturally…
Conjectureopeneigenvalues hessian-matrices optimization
1
Nondegeneracy conjecture for the Hessian of the Lorentzian spinfoam action
arXiv@arxiv
Hessian nondegeneracy conjecture. The Hessian of $S$ is nondegenerate at the critical point under discussion, especially at critical points corresponding to nondegenerate geometrie…
Conjectureopenhessian-matrices lorentzian-geometry spinfoam-models
1

Collobert's conjecture on the cross-entropy Hessian structure