Super Resolution Phase Retrieval for Sparse Signals

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We prove new boundary regularity results for minimizers to the one-phase Alt-Caffarelli functional (also known as Bernoulli free boundary problem) in the case of continuous and Hölder-continuous boundary data. As an application, we use them to extend recen ...

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Given a sequence of functions

f_1,\ldots,f_n

with

f_i:\mathcal{D}\mapsto \mathbb{R}

, finite-sum minimization seeks a point

{x}^\star \in \mathcal{D}

minimizing

\sum_{j=1}^nf_j(x)/n

. In this work, we propose a key twist into the finite-sum minimizat ...

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In this thesis, we give new protocols that offer a quantum advantage for problems in ML, Physics, and Finance. Quantum mechanics gives predictions that are inconsistent with local realism. The experiment proving this fact (Bell, 1964) gives a quantum proto ...

Super Resolution Phase Retrieval for Sparse Signals

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Continuity up to the boundary for minimizers of the one-phase Bernoulli problem

Functional-Basis Analysis of Non-Stationary Signals in Modern Power Grids: Theory and Implementation in Embedded Systems

Impact of beam-coupling impedance on the Schottky spectrum of bunched beam

Verification of the Fourier-enhanced 3D finite element Poisson solver of the gyrokinetic full-f code PICLS

Quantifying the Unknown: Data-Driven Approaches and Applications in Energy Systems

Graph generative deep learning models with an application to circuit topologies

Efficient Continual Finite-Sum Minimization

Unified Harmonic Power-Flow and Stability Analysis of Power Grids with Converter-Interfaced Distributed Energy Resources

Stability of the Faber-Krahn inequality for the short-time Fourier transform

Reactive collision-free motion generation in joint space via dynamical systems and sampling-based MPC

Energy Management of Price-Maker Community Energy Storage by Stochastic Dynamic Programming

A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control

Discrete choice modeling in the era of big data

Molecular imine cages with π-basic Au3(pyrazolate) faces

Modeling friction and wear using an adaptive discrete-continuum coupling

Frustrated magnets in the limit of infinite dimensions: Dynamics and disorder-free glass transition

Tangentially viewing phase contrast imaging for turbulence measurements in toroidal fusion devices

Adding Color to Mass Spectra of Biopolymers: Charge Determination Analysis (CHARDA) Assigns Charge State to Every Ion Peak

Statistical Inference for Inverse Problems: From Sparsity-Based Methods to Neural Networks

Quantum Protocols for ML, Physics, and Finance