Trending Research
A convex relaxation to compute the nearest structured rank deficient matrix
linusnie/robust-triangulation-relaxations
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Given an affine space of matrices $L$ and a matrix $\theta \in L$, consider the problem of finding the closest rank deficient matrix to $\theta$ on $L$ with respect to the Frobenius norm.
Optimization and Control Numerical Analysis 15A83, 90C22, 15B99
Control Barrier Functions in Sampled-Data Systems
This paper presents conditions for ensuring forward invariance of safe sets under sampled-data system dynamics with piecewise-constant controllers and fixed time-steps.
Optimization and Control Systems and Control Systems and Control
Safety-Critical Control for Systems with Impulsive Actuators and Dwell Time Constraints
This paper presents extensions of control barrier function (CBF) and control Lyapunov function (CLF) theory to systems wherein all actuators cause impulsive changes to the state trajectory, and can only be used again after a minimum dwell time has elapsed.
Optimization and Control Systems and Control Systems and Control
Data-driven discovery of Koopman eigenfunctions for control
In this work, we demonstrate a data-driven control architecture, termed Koopman Reduced Order Nonlinear Identification and Control (KRONIC), that utilizes Koopman eigenfunctions to manipulate nonlinear systems using linear systems theory.
Optimization and Control Dynamical Systems
Uniform Inference for Kernel Density Estimators with Dyadic Data
Dyadic data is often encountered when quantities of interest are associated with the edges of a network.
Statistics Theory Methodology Statistics Theory 62G05, 62G07, 62M99 (Primary) 91D30, 90B15 (Secondary)
Notes on the combinatorial fundamentals of algebra
This is a detailed survey -- with rigorous and self-contained proofs -- of some of the basics of elementary combinatorics and algebra, including the properties of finite sums, binomial coefficients, permutations and determinants.
Combinatorics
Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control
In this work, we extend the Koopman operator to controlled dynamical systems and compute a finite-dimensional approximation of the operator in such a way that this approximation has the form a linear controlled dynamical system.
Optimization and Control
Interpolation-based immersed finite element and isogeometric analysis
We introduce a new paradigm for immersed finite element and isogeometric methods based on interpolating function spaces from an unfitted background mesh into Lagrange finite element spaces defined on a foreground mesh that captures the domain geometry but is otherwise subject to minimal constraints on element quality or connectivity.
Numerical Analysis Numerical Analysis
Powerful statistical inference for nested data using sufficient summary statistics
Hierarchically-organized data arise naturally in many psychology and neuroscience studies.
Statistics Theory Methodology Statistics Theory
Portfolio Optimization with Cumulative Prospect Theory Utility via Convex Optimization
cvxgrp/cptopt
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The first term is the composition of a convex function with concave arguments and the second term a composition of a convex function with convex arguments.
Optimization and Control Portfolio Management G.1.6
