From the 1 of 5 linked papers with an AI index.
5 papers
Uniform Approximation of Functions with Asymmetric Growth and Decay by Deep Weighted Polynomials
Kingsley Yeon, Steven B. Damelin
The paper proposes a class of weighted deep (composite) polynomials that can uniformly approximate functions which grow on one side of the real line and decay on the other, and dem…
Typical-Case Gate Approximation and Arithmetic Obstructions in Quaternionic Single-Qubit Compilation
Kingsley Yeon, Steven B. Damelin, Alec Greene
Fault-tolerant quantum computation requires compiling arbitrary one-qubit unitaries into short words over a fixed gate library. For arithmetic libraries such as the Lubotzky-…
Subharmonic Kernels and Energy Minimizing Measures, with Applications to the Flat Torus
Steven B. Damelin, Joel Nathe
We study the minimization of the energy integral over all Borel probability measures , where is a compact connected m…
Exponential Convergence of Deep Composite Polynomial Approximation for Cusp-Type Functions
Kingsley Yeon, Steven B. Damelin, Michael Werman
We investigate deep composite polynomial approximations of continuous but non-differentiable functions with algebraic cusp singularities. The functions in focus consist of finitely…
A family of interaction energy minimizers supported on two intervals
Steven B. Damelin, Ruiwen Shu
In this paper, we consider the one-dimensional interaction energy where the interaction potential $W(x)=…