35 citations · 54 across the 8 of their papers we have counts for
8 papers
Orders of chaoticity of unitaries
Adrian Ortega, Andrew B. Frigyik, Mátyás Koniorczyk
We introduce the concept of K-th order chaoticity of unitaries, and analyze it for the case of two-level quantum systems. This property is relevant in a certain quantum random numb…
On the limit relation for the quantum relative entropy
J. Z. Bernád, A. B. Frigyik
Recently, Diósi et al. (Int. J. Quant. Inf. 4, 99 (2006)) introduced a simple, yet very interesting model for reservoirs, in order to study the relationship between thermodynamic e…
Multi-Task Averaging
Sergey Feldman, Bela A. Frigyik, Maya R. Gupta
We present a multi-task learning approach to jointly estimate the means of multiple independent data sets. The proposed multi-task averaging (MTA) algorithm results in a convex com…
Bounds on the Bayes Error Given Moments
Bela A. Frigyik, Maya R. Gupta
We show how to compute lower bounds for the supremum Bayes error if the class-conditional distributions must satisfy moment constraints, where the supremum is with respect to the u…
The X-ray transform for a generic family of curves
Bela Frigyik, Plamen Stefanov, Gunther Uhlmann
We study the weighted integral transform on a compact manifold with boundary over a smooth family of curves . We prove generic injectivity and a stability estimate under the con…
Functional Bregman Divergence and Bayesian Estimation of Distributions
B. A. Frigyik, S. Srivastava, M. R. Gupta
A class of distortions termed functional Bregman divergences is defined, which includes squared error and relative entropy. A functional Bregman divergence acts on functions or dis…