6 papers
Marchenko-Pastur law for tensor powers of exchangeable unconditional vectors
Feng Cheng, Dan Mikulincer
Given an isotropic, exchangeable, and unconditional random vector , we consider the sample covariance matrix constructed from i.i.d. copies of several tensor models of $…
On the Lipschitz properties of transportation along heat flows
Dan Mikulincer, Yair Shenfeld
We prove new Lipschitz properties for transport maps along heat flows, constructed by Kim and Milman. For (semi)-log-concave measures and Gaussian mixtures, our bounds have several…
The Brownian transport map
Dan Mikulincer, Yair Shenfeld
Contraction properties of transport maps between probability measures play an important role in the theory of functional inequalities. The actual construction of such maps, however…
Nodal Count for Orthogonally Invariant Ensembles
Lior Alon, Dan Mikulincer, John Urschel
We investigate the nodal count of eigenvectors of random matrices interpreted as operators on signed complete graphs. Our focus is on orthogonally invariant ensembles, with particu…
Low-dimensional Functions are Efficiently Learnable under Randomly Biased Distributions
Elisabetta Cornacchia, Dan Mikulincer, Elchanan Mossel
The problem of learning single index and multi index models has gained significant interest as a fundamental task in high-dimensional statistics. Many recent works have analysed gr…
Stochastic Localization with Non-Gaussian Tilts and Applications to Tensor Ising Models
Dan Mikulincer, Arianna Piana
We present generalizations and modifications of Eldan's Stochastic Localization process, extending it to incorporate non-Gaussian tilts, making it useful for a broader class of mea…