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
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
The acados software package is a collection of solvers for fast embedded optimization, intended for fast embedded applications.
Optimization and Control
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
This paper introduces the algorithmic design and implementation of Tulip, an open-source interior-point solver for linear optimization.
Optimization and Control
The Hadamard conjecture states that Hadamard matrices of order $n$ exist whenever $n$ is $1$, $2$, or a multiple of $4$.
Combinatorics
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
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
Block-structured problems are central to advances in numerical optimization and machine learning.
Optimization and Control G.1.6
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