This makes it possible to conduct sensitivity analyses of solutions, given perturbations to the parameters, and to compute the gradient of a function of the solution with respect to the parameters.

OPTIMIZATION AND CONTROL

PySINDy is a Python package for the discovery of governing dynamical systems models from data.

DYNAMICAL SYSTEMS COMPUTATIONAL PHYSICS

For distributions that are highly concentrated around their mean, and for any finite number of samples, we establish explicit Taylor expansions on the first and second moment of the empirical mean thanks to a new Taylor expansion of the Riemannian log-map in affine connection spaces.

DIFFERENTIAL GEOMETRY STATISTICS THEORY STATISTICS THEORY

The state of numerical computing is currently characterized by a divide between highly efficient yet typically cumbersome low-level languages such as C, C++, and Fortran and highly expressive yet typically slow high-level languages such as Python and MATLAB.

OPTIMIZATION AND CONTROL NUMERICAL ANALYSIS PROGRAMMING LANGUAGES

The algorithm is based on Newton's method with carefully selected initial guesses for the nodes and a fast evaluation scheme for the associated orthogonal polynomial.

NUMERICAL ANALYSIS

This paper introduces HPIPM, a high-performance framework for quadratic programming (QP), designed to provide building blocks to efficiently and reliably solve model predictive control problems.

OPTIMIZATION AND CONTROL SYSTEMS AND CONTROL SYSTEMS AND CONTROL

We describe our experience implementing a broad category-theory library in Coq.

CATEGORY THEORY LOGIC IN COMPUTER SCIENCE

The acados software package is a collection of solvers for fast embedded optimization, intended for fast embedded applications.

OPTIMIZATION AND CONTROL

Mandatory ingredient for the ROM methods is the relation between the high-fidelity solutions and the parameters.

NUMERICAL ANALYSIS

A novel approach is used to ensure homogeneous particle distributions and improved boundary conditions.

NUMERICAL ANALYSIS NUMERICAL ANALYSIS COMPUTATIONAL PHYSICS