Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Barekat, Farzin"'
In this paper we relate t-designs to a forbidden configuration problem in extremal set theory. Let 1_t 0_l denote a column of t 1's on top of l 0's. We assume t>l. Let q. (1_t 0_l) denote the (t+l)xq matrix consisting of t rows of q 1's and l rows of
Externí odkaz:
http://arxiv.org/abs/1909.11602
Autor:
Anstee, R. P., Barekat, Farzin
Let 1_k 0_l denote the (k+l)\times 1 column of k 1's above l 0's. Let q. (1_k 0_l) $ denote the (k+l)xq matrix with q copies of the column 1_k0_l. A 2-design S_{\lambda}(2,3,v) can be defined as a vx(\lambda/3)\binom{v}{2} (0,1)-matrix with all colum
Externí odkaz:
http://arxiv.org/abs/1909.07580
Machine learning (ML) models trained by differentially private stochastic gradient descent (DP-SGD) have much lower utility than the non-private ones. To mitigate this degradation, we propose a DP Laplacian smoothing SGD (DP-LSSGD) to train ML models
Externí odkaz:
http://arxiv.org/abs/1906.12056
Autor:
Osher, Stanley, Wang, Bao, Yin, Penghang, Luo, Xiyang, Barekat, Farzin, Pham, Minh, Lin, Alex
We propose a class of very simple modifications of gradient descent and stochastic gradient descent. We show that when applied to a large variety of machine learning problems, ranging from logistic regression to deep neural nets, the proposed surroga
Externí odkaz:
http://arxiv.org/abs/1806.06317
Autor:
Barekat, Farzin, Yin, Ke, Caflisch, Russel E., Osher, Stanley J., Lai, Rongjie, Ozolins, Vidvuds
We propose a method for calculating Wannier functions of periodic solids directly from a modified variational principle for the energy, subject to the requirement that the Wannier functions are orthogonal to all their translations ("shift-orthogonali
Externí odkaz:
http://arxiv.org/abs/1403.6883
This paper presents a fast algorithm for projecting a given function to the set of shift orthogonal functions (i.e. set containing functions with unit $L^2$ norm that are orthogonal to their prescribed shifts). The algorithm can be parallelized easil
Externí odkaz:
http://arxiv.org/abs/1402.5158
Recently, significant connections between compressed sensing problems and optimization of a particular class of functions relating to solutions of Hamilton-Jacobi equation was discovered. In this paper we introduce a fast approximate algorithm to opt
Externí odkaz:
http://arxiv.org/abs/1310.6475
Autor:
Barekat, Farzin, Caflisch, Russel
In this paper we present a method to generate independent samples for a general random variable, either continuous or discrete. The algorithm is an extension of the acceptance-rejection method, and it is particularly useful for kinetic simulation in
Externí odkaz:
http://arxiv.org/abs/1310.4555
Autor:
Barekat, Farzin
This paper provides theoretical consistency results for compressed modes. We prove that as L1 regularization term in certain non-convex variational optimization problems vanishes, the solutions of the optimization problem and the corresponding eigenv
Externí odkaz:
http://arxiv.org/abs/1310.4552
Publikováno v:
Electron. J. Combin. 16:R110 (2009)
We introduce a new operation on skew diagrams called composition of transpositions, and use it and a Jacobi-Trudi style formula to derive equalities on skew Schur Q-functions whose indexing shifted skew diagram is an ordinary skew diagram. When this
Externí odkaz:
http://arxiv.org/abs/0811.3801