Shortest-support multi-spline bases for generalized sampling

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Recently, triangle configuration based bivariate simplex splines (referred to as TCB-spline) have been introduced to the geometric computing community. TCB-splines retain many attractive theoretic properties of classical B-splines, such as partition of uni ...

Single crystal growth by chemical vapour transport has resulted samples with Fe1.35Ge stoichiometry. Structural study has shown that the large number of vacancies introduces an incommensuately modulated structure. The electrical resistivity is in the 200 m ...

We consider the problem of sampling from constrained distributions, which has posed significant challenges to both non-asymptotic analysis and algorithmic design. We propose a unified framework, which is inspired by the classical mirror descent, to derive ...

A new robust controller design method that satisfies the H-infinity criterion is developed for linear time-invariant single-input single-output (SISO) systems. A data-driven approach is implemented in order to avoid the unmodeled dynamics associated with p ...

The objective of this dissertation is to develop data-driven frequency-domain methods for designing robust controllers through the use of convex optimization algorithms. Many of today's industrial processes are becoming more complex, and modeling accurate ...

Traditional sampling results assume that the sample locations are known. Motivated by simultaneous localization and mapping (SLAM) and structure from motion (SfM), we investigate sampling at unknown locations. Without further constraints, the problem is of ...

This paper deals with the resolution of inverse problems in a periodic setting or, in other terms, the reconstruction of periodic continuous-domain signals from their noisy measurements. We focus on two reconstruction paradigms: variational and statistical ...

Shortest-support multi-spline bases for generalized sampling

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A finite element framework based on bivariate simplex splines on triangle configurations

The influence of the incommensurately modulated structure on the physical properties of Fe1.35Ge

Mirrored Langevin Dynamics

Robust H-infinity Controller Design Using Frequency-Domain Data via Convex Optimization

A Data-Driven Frequency-Domain Approach for Robust Controller Design via Convex Optimization

Sampling at unknown locations: Uniqueness and reconstruction under constraints

Periodic Splines and Gaussian Processes for the Resolution of Linear Inverse Problems