Trending Research
Small volume bodies of constant width
For every large enough $n$, we explicitly construct a body of constant width $2$ that has volume less than $0. 9^n \text{Vol}(\mathbb{B}^{n}$), where $\mathbb{B}^{n}$ is the unit ball in $\mathbb{R}^{n}$.
Metric Geometry 52A20, 52A40, 28A75, 49Q20
Model Construction for Convex-Constrained Derivative-Free Optimization
We develop a new approximation theory for linear and quadratic interpolation models, suitable for use in convex-constrained derivative-free optimization (DFO).
Optimization and Control
acados: a modular open-source framework for fast embedded optimal control
The acados software package is a collection of solvers for fast embedded optimization, intended for fast embedded applications.
Optimization and Control
Construction of the Kolmogorov-Arnold representation using the Newton-Kaczmarz method
It is known that any continuous multivariate function can be represented exactly by a composition functions of a single variable - the so-called Kolmogorov-Arnold representation.
Numerical Analysis Numerical Analysis 26B40, 41A99, 65D15
Design and implementation of a modular interior-point solver for linear optimization
This paper introduces the algorithmic design and implementation of Tulip, an open-source interior-point solver for linear optimization.
Optimization and Control
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
Control of Complex Maneuvers for a Quadrotor UAV using Geometric Methods on SE(3)
ntnu-arl/aerial_gym_simulator
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The flight maneuvers are defined by a concatenation of flight modes or primitives, each of which is achieved by a nonlinear controller that solves an output tracking problem.
Optimization and Control Systems and Control
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
Formalization of Algorithms for Optimization with Block Structures
Block-structured problems are central to advances in numerical optimization and machine learning.
Optimization and Control G.1.6
Accelerating Optimal Power Flow with GPUs: SIMD Abstraction of Nonlinear Programs and Condensed-Space Interior-Point Methods
This approach enables the specification of model equations while preserving their parallelizable structure and, in turn, facilitates the parallel AD implementation.
Optimization and Control Distributed, Parallel, and Cluster Computing
