124 citations · 430 across the 37 of their papers we have counts for
40 papers
On the Discontinuous Breaking of Replica Symmetry and Shattering in Mean-Field Spin Glasses
Antonio Auffinger, Ahmed El Alaoui, Mark Sellke
We show that in mean-field spin glasses, a discontinuous breaking of replica symmetry at the critical inverse temperature implies the existence of an intermediate shattered p…
On the time constant of high dimensional first passage percolation, revisited
Antonio Auffinger, Si Tang
In [2], it was claimed that the time constant for the first-passage percolation model on is as , if the…
Equilibrium Distributions for t-distributed Stochastic Neighbour Embedding
Antonio Auffinger, Daniel Fletcher
We study the empirical measure of the output of the t-distributed stochastic neighbour embedding algorithm when the initial data is given by n independent, identically distributed…
The Spherical p+s Spin Glass At Zero Temperature
Antonio Auffinger, Yuxin Zhou
We determine the structure of the Parisi measure at zero temperature for the spherical p+s spin glass model. We show that depending on the values of p and s, four scenarios may eme…
Complexity of Gaussian random fields with isotropic increments: critical points with given indices
Antonio Auffinger, Qiang Zeng
We study the landscape complexity of the Hamiltonian where is a smooth Gaussian process with isotropic increments on . This mode…
Optimization of random high-dimensional functions: Structure and algorithms
Antonio Auffinger, Andrea Montanari, Eliran Subag
Replica symmetry breaking postulates that near optima of spin glass Hamiltonians have an ultrametric structure. Namely, near optima can be associated to leaves of a tree, and the E…