Polyak momentum (PM), also known as the heavy-ball method, is a widely used optimization method that enjoys an asymptotic optimal worst-case complexity on quadratic objectives.

Optimization and Control

We construct statistical estimators for these objects from a sample of data, and so introduce a whole family of new methods for geometric data analysis and computational geometry.

Metric Geometry Algebraic Topology

Derivative-based iterative methods for nonlinearly constrained nonconvex optimization usually share common algorithmic components, such as strategies for computing a descent direction and mechanisms that promote global convergence.

Optimization and Control 49M15, 65K05, 90C30, 90C51, 90C55

This paper presents a geometric adaptive control scheme for a quadrotor unmanned aerial vehicle, where the effects of unknown, unstructured disturbances are mitigated by a multilayer neural network that is adjusted online.

Optimization and Control

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

Optimization and Control

We introduce Optimistix: a nonlinear optimisation library built in JAX and Equinox.

Optimization and Control Mathematical Software

Two new Elnitsky tilings for Coxeter groups of type $\mathrm{B}$ are displayed as certain subtilings.

Group Theory Combinatorics

Furthermore, we simplify and accelerate the computations of Jacobi preconditioning and Hessian-vector product for hyperelasticity and barrier function.

Optimization and Control Graphics

There is growing interest in estimating and analyzing heterogeneous treatment effects in experimental and observational studies.

Statistics Theory Methodology Statistics Theory

Optimization problems with discrete-continuous decisions are traditionally modeled in algebraic form via (non)linear mixed-integer programming.

Optimization and Control