Faculty and Researchers
Adaptive Deep Learning for High-dimensional Hamilton-Jacobi-Bellman Equations
(SIAM, 2021)
Computing optimal feedback controls for nonlinear systems generally requires solving Hamilton--Jacobi--Bellman (HJB) equations, which are notoriously difficult when the state dimension is large. Existing strategies for ...
Low c-differential uniformity for functions modified on subfields
(2021-12-07)
In this paper, we construct some piecewise defined functions, and
study their c-differential uniformity. As a by-product, we improve upon
several prior results. Further, we look at concatenations of functions
with low ...
Determining Optimum Ship Routes
(INFORMS, 1962-06)
A method is given for determining optimum ship routes on a digital computer. A ship is assumed to be in a fallout field whose intensity is a known function f(x, y, t) of position and time. A typical problem is that of ...
The Observability in Unobservable Systems
(ArXiv, 2022-01)
In this paper, we introduce the concept of observability of targeted state variables for
systems that may not be fully observable. For their estimation, we introduce and exemplify
a deep filter, which is a neural network ...
Thermal Effect of a Revolving Gaussian Beam on Activating Heat-Sensitive Nociceptors in Skin
(Scientific Research Publishing, 2021-01-20)
We consider the problem of inducing withdrawal reflex on a test subject by
exposing the subject’s skin to an electromagnetic beam. Heat-sensitive noci ceptors in the skin are activated wherever the temperature is above ...
Low c-differential and c-boomerang uniformity of the swapped inverse function
(Elsevier, 2021)
Modifying the binary inverse function in a variety of ways, like swapping two output points has been known to produce a 4-differential uniform permutation function. Recently, in [21] it was shown that this swapped version ...
A machine learning approach for modeling irregular regions with multiple owners in wind farm layout design
(Elsevier, 2021)
Wind farm development projects require a detailed survey of the eligible land. The land selected is often segmented into different region, each owned by different landowners with different land pricing. These regions are ...
Secure and efficient multiparty private set intersection cardinality
(American Institute of Mathematical Sciences, 2021)
In the field of privacy preserving protocols, Private Set Intersection (PSI) plays an important role. In most of the cases, PSI allows two parties to securely determine the intersection of their private input sets, and no ...
Secure and Efficient Multiparty Private Set Intersection Cardinality
(AMC, 2021)
In the field of privacy preserving protocols, Private Set Intersection (PSI) plays an important role. In most of the cases, PSI allows two parties to securely determine the intersection of their private input sets, and no ...
Optimal Boundary Control of a Nonlinear Reaction Diffusion Equation via Completing the Square and Al’brekht’s Method
(ArXiv, 2020-11-29)
The two contributions of this paper are as follows.
The first is the solution of an infinite dimensional, boundary
controlled Linear Quadratic Regulator by the simple and
constructive method of completing the square. ...
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Applied Mathematics (600)