Trending Research
Advanced-Step Real-time Iterations with Four Levels -- New Error Bounds and Fast Implementation in acados
iit-dlslab/quadruped-pympc
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The Real-Time Iteration (RTI) is an online nonlinear model predictive control algorithm that performs a single Sequential Quadratic Programming (SQP) per sampling time.
Optimization and Control
Discretize first, filter next: learning divergence-consistent closure models for large-eddy simulation
We propose a new neural network based large eddy simulation framework for the incompressible Navier-Stokes equations based on the paradigm "discretize first, filter and close next".
Numerical Analysis Numerical Analysis Fluid Dynamics 65 (Primary), 76, 35 (Secondary)
Distributed Continuous-Time Optimization with Time-Varying Objective Functions and Inequality Constraints
Different from most studied distributed optimization problems with time-invariant objective functions and constraints, the optimal solution in this paper is time varying and forms a trajectory.
Optimization and Control
Forward stable computation of roots of real polynomials with only real distinct roots
As showed in (Fiedler, 1990), any polynomial can be expressed as a characteristic polynomial of a complex symmetric arrowhead matrix.
Numerical Analysis 65F15, 65G50, 15-04, 15B99
Gromov-Wasserstein Distances between Gaussian Distributions
MaximeVandegar/Papers-in-100-Lines-of-Code
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We also study the problem without restriction on the optimal plan, and provide lower and upper bounds for the value of the Gromov-Wasserstein distance between Gaussian distributions.
Probability
Optimistix: modular optimisation in JAX and Equinox
We introduce Optimistix: a nonlinear optimisation library built in JAX and Equinox.
Optimization and Control Mathematical Software
Improved Exponent for Marton's Conjecture in $\mathbb{F}_2^n$
A conjecture of Marton, widely known as the polynomial Freiman-Ruzsa conjecture, was recently proved by Gowers, Green, Manners and Tao for any bounded-torsion Abelian group $G$.
Combinatorics
Implementing Hadamard Matrices in SageMath
The Hadamard conjecture states that Hadamard matrices of order $n$ exist whenever $n$ is $1$, $2$, or a multiple of $4$.
Combinatorics
PySINDy: A Python package for the Sparse Identification of Nonlinear Dynamics from Data
PySINDy is a Python package for the discovery of governing dynamical systems models from data.
Dynamical Systems Computational Physics
Transducing paths in graph classes with unbounded shrubdepth
Transductions are a general formalism for expressing transformations of graphs (and more generally, of relational structures) in logic.
Combinatorics Discrete Mathematics Logic in Computer Science Logic
