Trending Research
On the Differentiability of the Primal-Dual Interior-Point Method
kevin-tracy/qpax
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Primal-Dual Interior-Point methods are capable of solving constrained convex optimization problems to tight tolerances in a fast and robust manner.
Optimization and Control
Multilevel domain decomposition-based architectures for physics-informed neural networks
Our numerical results show that the proposed multilevel FBPINNs consistently and significantly outperform PINNs across a range of problems with high frequency and multi-scale solutions.
Numerical Analysis Numerical Analysis
Meta-learners for Estimating Heterogeneous Treatment Effects using Machine Learning
There is growing interest in estimating and analyzing heterogeneous treatment effects in experimental and observational studies.
Statistics Theory Methodology Statistics Theory
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
Unifying nonlinearly constrained nonconvex optimization
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
Implementing Hadamard Matrices in SageMath
The Hadamard conjecture states that Hadamard matrices of order $n$ exist whenever $n$ is $1$, $2$, or a multiple of $4$.
Combinatorics
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
Optimal Routing for Constant Function Market Makers
We consider the problem of optimally executing an order involving multiple crypto-assets, sometimes called tokens, on a network of multiple constant function market makers (CFMMs).
Optimization and Control Trading and Market Microstructure
acados: a modular open-source framework for fast embedded optimal control
The acados software package is a collection of solvers for fast embedded optimization, intended for fast embedded applications.
Optimization and Control
Optimistix: modular optimisation in JAX and Equinox
We introduce Optimistix: a nonlinear optimisation library built in JAX and Equinox.
Optimization and Control Mathematical Software
