This is the biggest sofa you can fit around a corner, according to a mathematician

The question seeks to find a maximum value for the area of a sofa that can slide around a 90-degree corner in a corridor of a ...
GitHub

Motion Planning around Obstacles with Convex Optimization

This repository contains the code to reproduce the examples in the paper Motion Planning around Obstacles with Convex Optimization by Tobia Marcucci, Mark Petersen, David von Wrangel, and Russ Tedrake ...
IEEE

Distributed Weakly Convex Optimization Under Random Time-Delay Interference

Abstract: In this article, a special class of distributed stochastic nonconvex optimization problem is investigated. Each agent in the network only has access to a local stochastic weakly convex ...
IEEE

Ascent Trajectory Optimization for Boost-Glide Vehicle Using Homotopy Approximation Function Sequential Convex Programming

Abstract: The control capability of boost-glide vehicle models controlled by the angle of attack and the sideslip angle is weak. Such vehicles' ascent trajectory optimization exhibits characteristics ...
GitHub

Efficient Numerical Function Optimization for Robotics under Constraints (written in C++)

ENFORCpp is a C++ tool that allows you to solve nonlinear constrained optimization problems. The tool is designed with real-time considerations and is suitable for online trajectory and control input ...
Microsoft

BPQP: A Differentiable Convex Optimization Framework for Efficient End-to-End Learning

Data-driven decision-making processes increasingly utilize end-to-end learnable deep neural networks to render final decisions. Sometimes, the output of the forward functions in certain layers is ...
Journal of Medical Internet Research

Performance of Large Language Models in Numerical Versus Semantic Medical Knowledge: Cross-Sectional Benchmarking Study on Evidence-Based Questions and Answers

Additionally, we examined the question-answering rate of LLMs, by enabling them to choose to abstain from responding to questions. For validation, we compared the results for 100 unrelated numerical ...
Scientific Research Publishing

Nocedal, J. and Wright, S.J. (2006) Quadratic Programming. Numerical Optimization, Springer, New York, 448-492.

ABSTRACT: In this paper, a modified version of the Classical Lagrange Multiplier method is developed for convex quadratic optimization problems. The method, which is evolved from the first order ...
Scientific Research Publishing

Boyd, S., & Vandenberghe, L. (2002). Convex Optimization. Cambridge University Press.

ABSTRACT: Break even and profitability analysis is a classical and widely used topic in business analysis. Break-Even Point or point of equilibrium is the point of sales volume making neither a profit ...