Trending Research

Placement and Implementation of Grid-Forming and Grid-Following Virtual Inertia and Fast Frequency Response

bpoolla/Australian10gen-lowinertia 5 Jul 2018

In this work, explicit models of grid-following and grid-forming virtual inertia (VI) devices are developed for inertia emulation in low-inertia systems.

Optimization and Control

24
0.02 stars / hour

Implementing Hadamard Matrices in SageMath

sagemath/sage 29 Jun 2023

The Hadamard conjecture states that Hadamard matrices of order $n$ exist whenever $n$ is $1$, $2$, or a multiple of $4$.

Combinatorics

1,217
0.02 stars / hour

Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions

maxhalford/prince 22 Sep 2009

These methods use random sampling to identify a subspace that captures most of the action of a matrix.

Numerical Analysis Probability

1,233
0.02 stars / hour

A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics

trixi-framework/Trixi.jl 24 Aug 2020

One of the challenges when simulating astrophysical flows with self-gravity is to compute the gravitational forces.

Numerical Analysis Numerical Analysis Computational Physics

514
0.02 stars / hour

Tractable Evaluation of Stein's Unbiased Risk Estimate with Convex Regularizers

cvxgrp/sure-cr 11 Nov 2022

Stein's unbiased risk estimate (SURE) gives an unbiased estimate of the $\ell_2$ risk of any estimator of the mean of a Gaussian random vector.

Statistics Theory Optimization and Control Computation Statistics Theory

8
0.02 stars / hour

Sequential sum-of-squares programming for analysis of nonlinear systems

tcunis/bisosprob 5 Oct 2022

Numerous interesting properties in nonlinear systems analysis can be written as polynomial optimization problems with nonconvex sum-of-squares problems.

Optimization and Control Systems and Control Systems and Control

5
0.02 stars / hour

Waterproof: Educational Software for Learning How to Write Mathematical Proofs

impermeable/waterproof 24 Nov 2022

Students started using the specific formulations of proof steps from the custom proof language in their handwritten proofs; the explicit phrasing of these sentences helped to clarify the logical structure of their arguments.

History and Overview

35
0.02 stars / hour

Structured Decompositions: Structural and Algorithmic Compositionality

algebraicjulia/structureddecompositions.jl 13 Jul 2022

We introduce structured decompositions: category-theoretic generalizations of many combinatorial invariants -- including tree-width, layered tree-width, co-tree-width and graph decomposition width -- which have played a central role in the study of structural and algorithmic compositionality in both graph theory and parameterized complexity.

Category Theory Data Structures and Algorithms Combinatorics 18B10, 05C75 (Primary) 68W40 (Secondary) F.2.m; G.0

7
0.02 stars / hour

System Level Synthesis

shaoruchen/polytopic-slsmpc 2 Apr 2019

We show how SLS shifts the controller synthesis task from the design of a controller to the design of the entire closed loop system, and highlight the benefits of this approach in terms of scalability and transparency.

Optimization and Control Systems and Control

25
0.02 stars / hour

Controlled Synchronization of Coupled Pendulums by Koopman Model Predictive Control

aa4cc/koompanmpc-for-synchronization 28 Dec 2022

We propose and experimentally demonstrate a feedback control method that allows synchronizing the motion of a chain of several coupled nonlinear oscillators actuated through one end of the chain.

Optimization and Control Dynamical Systems

8
0.02 stars / hour