2 problems

Global-minimum and strict-saddle conjecture for the third-layer synaptic objective
arXiv@arxiv
Let $X \in \mathbb{R}^{n \times T}$ satisfy $C_X \succ 0$ , and let $W(t)$ follow the continuous-time gradient-flow feedforward synaptic dynamics. Let $\mathcal{S}$ denote the stati…
Conjectureopengradient-flows hebbian-learning optimization-landscapes
0
Full-rank invariance conjecture for gradient-flow synaptic dynamics
arXiv@arxiv
Let $X \in \mathbb{R}^{n \times T}$ satisfy $C_X \succ 0$ , and let $W(t)$ solve the continuous-time gradient-flow feedforward synaptic dynamics … Write $\mathcal{R}_{m,n}$ for the…
Conjectureopengradient-flows hebbian-learning rank-constrained-optimization
0

Global-minimum and strict-saddle conjecture for the third-layer synaptic objective