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6 papers · 1 filter
Null-controllability of linear hyperbolic systems in one dimensional space
Jean-Michel Coron, Hoai-Minh Nguyen
This paper is devoted to the controllability of a general linear hyperbolic system in one space dimension using boundary controls on one side. Under precise and generic assumptions…
Average-case Analysis of the Assignment Problem with Independent Preferences
Yansong Gao, Jie Zhang
The fundamental assignment problem is in search of welfare maximization mechanisms to allocate items to agents when the private preferences over indivisible items are provided by s…
Cluster, Classify, Regress: A General Method For Learning Discountinous Functions
David E. Bernholdt, Mark R. Cianciosa, Clement Etienam +3
This paper presents a method for solving the supervised learning problem in which the output is highly nonlinear and discontinuous. It is proposed to solve this problem in three st…
Extending discrete exterior calculus to a fractional derivative
Justin Crum, Joshua A. Levine, Andrew Gillette
Fractional partial differential equations (FDEs) are used to describe phenomena that involve a "non-local" or "long-range" interaction of some kind. Accurate and practical numerica…
Estimation and uncertainty quantification for the output from quantum simulators
Ryan Bennink, Ajay Jasra, Kody J. H. Law +1
The problem of estimating certain distributions over is considered here. The distribution represents a quantum system of qubits, where there are non-trivial depende…
An Optical Frontend for a Convolutional Neural Network
Shane Colburn, Yi Chu, Eli Shlizerman +1
The parallelism of optics and the miniaturization of optical components using nanophotonic structures, such as metasurfaces present a compelling alternative to electronic implement…