T-5: Difference between revisions
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=== Dynamics, optimization, trapping local minima === | === Dynamics, optimization, trapping local minima === | ||
[[File:Landscapes-GDD.png|thumb|right|x200px|Convex and rugged energy landscapes.]] | [[File:Landscapes-GDD.png|thumb|right|x200px|Convex and rugged energy landscapes.]] | ||
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Gradient descent, rugged landscapes, metastable states, Hessian matrices, random matrix theory, landscape’s complexity. | Gradient descent, rugged landscapes, metastable states, Hessian matrices, random matrix theory, landscape’s complexity. | ||
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Revision as of 16:10, 19 January 2024
Goal:
So far we have discussed the equilibrium properties of disordered systems, that are encoded in their partition function and free energy. In this set of problems, we characterize the energy landscape of the spherical -spin, by determining the number of its stationary points.
Techniques: differential geometry (a tiny bit!), random matrix theory.
