Trending Research
Two integer sequences related to Catalan numbers
We prove the following conjecture of Zeilberger.
Combinatorics
JuMP: A Modeling Language for Mathematical Optimization
JuMP is an open-source modeling language that allows users to express a wide range of optimization problems (linear, mixed-integer, quadratic, conic-quadratic, semidefinite, and nonlinear) in a high-level, algebraic syntax.
Optimization and Control Mathematical Software
Optimization-Based Autonomous Racing of 1:43 Scale RC Cars
This paper describes autonomous racing of RC race cars based on mathematical optimization.
Optimization and Control Robotics Systems and Control
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
Lifted contact dynamics for efficient direct optimal control of rigid body systems with contacts
As a result, the computational cost per Newton-type iteration is almost identical to that of the conventional non-lifted Newton-type iteration that embeds contact dynamics in the state equation.
Optimization and Control Robotics
Convex optimization
First of all, the authors focused on the program of a two-semester course of lectures on convex optimization, which is given to students of MIPT.
Optimization and Control Numerical Analysis Numerical Analysis 65-01, 90-01, 65K05, 90C30, 90C90 G.1.6
Universal Average-Case Optimality of Polyak Momentum
d2l-ai/d2l-en
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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
A Unifying Modeling Abstraction for Infinite-Dimensional Optimization
In this work, we present a unifying abstraction that facilitates the modeling, analysis, and solution of InfiniteOpt problems.
Optimization and Control Systems and Control Systems and Control
Disciplined Quasiconvex Programming
We present a composition rule involving quasiconvex functions that generalizes the classical composition rule for convex functions.
Optimization and Control Mathematical Software
Douglas-Rachford splitting and ADMM for nonconvex optimization: Accelerated and Newton-type algorithms
Although the performance of popular optimization algorithms such as the Douglas-Rachford splitting (DRS) and ADMM is satisfactory in small and well-scaled problems, ill conditioning and problem size pose a severe obstacle to their reliable employment.
Optimization and Control 90C06, 90C25, 90C26, 49J52, 49J53