Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Mikulincer, Dan"'
Autor:
Mikulincer, Dan, Piana, Arianna
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 measures. As an application, we introduce new processes that enable the d
Externí odkaz:
http://arxiv.org/abs/2412.12720
We give a new proof of the sharp symmetrized form of Talagrand's transport-entropy inequality. Compared to stochastic proofs of other Gaussian functional inequalities, the new idea here is a certain coupling induced by time-reversed martingale repres
Externí odkaz:
http://arxiv.org/abs/2407.09465
Autor:
Mani, Nitya, Mikulincer, Dan
We investigate the distribution of monochromatic subgraph counts in random vertex $2$-colorings of large graphs. We give sufficient conditions for the asymptotic normality of these counts and demonstrate their essential necessity (particularly for mo
Externí odkaz:
http://arxiv.org/abs/2403.14068
The Metropolis process (MP) and Simulated Annealing (SA) are stochastic local search heuristics that are often used in solving combinatorial optimization problems. Despite significant interest, there are very few theoretical results regarding the qua
Externí odkaz:
http://arxiv.org/abs/2312.13554
We establish sufficient conditions for the existence of globally Lipschitz transport maps between probability measures and their log-Lipschitz perturbations, with dimension-free bounds. Our results include Gaussian measures on Euclidean spaces and un
Externí odkaz:
http://arxiv.org/abs/2305.03786
Societal accumulation of knowledge is a complex process. The correctness of new units of knowledge depends not only on the correctness of new reasoning, but also on the correctness of old units that the new one builds on. The errors in such accumulat
Externí odkaz:
http://arxiv.org/abs/2211.12301
We study large deviations for random walks on stratified (Carnot) Lie groups. For such groups, there is a natural collection of vectors which generates their Lie algebra, and we consider random walks with increments in only these directions. Under ce
Externí odkaz:
http://arxiv.org/abs/2210.05817
The last few years have seen a surge of work on high dimensional statistics under privacy constraints, mostly following two main lines of work: the ``worst case'' line, which does not make any distributional assumptions on the input data; and the ``s
Externí odkaz:
http://arxiv.org/abs/2208.07438
We consider a variant of the classical notion of noise on the Boolean hypercube which gives rise to a new approach to inequalities regarding noise stability. We use this approach to give a new proof of the Majority is Stablest theorem by Mossel, O'Do
Externí odkaz:
http://arxiv.org/abs/2208.06508
Autor:
Mikulincer, Dan, Reichman, Daniel
We study monotone neural networks with threshold gates where all the weights (other than the biases) are non-negative. We focus on the expressive power and efficiency of representation of such networks. Our first result establishes that every monoton
Externí odkaz:
http://arxiv.org/abs/2207.05275