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

Statistics Theory Methodology Statistics Theory

We examine in detail the case of the Mat\'ern covariance, and prove (for fixed correlation length) that, as $h_0\rightarrow 0$, positive definiteness is guaranteed when the random field is sampled on a cube of size order $(1 + \nu^{1/2} \log h_0^{-1})$ times larger than the size of the physical domain.

Numerical Analysis 60G10, 60G60, 65C05, 65C60

In this work, we present a data-driven method to efficiently approximate the generator using the tensor train (TT) format.

Dynamical Systems Probability Computational Physics

We study the problem of finding global minimizers of $V(x):\mathbb{R}^d\rightarrow\mathbb{R}$ approximately via sampling from a probability distribution $\mu_{\sigma}$ with density $p_{\sigma}(x)=\dfrac{\exp(-V(x)/\sigma)}{\int_{\mathbb R^d} \exp(-V(y)/\sigma) dy }$ with respect to the Lebesgue measure for $\sigma \in (0, 1]$ small enough.

Optimization and Control

The Real-Time Iteration (RTI) is an online nonlinear model predictive control algorithm that performs a single Sequential Quadratic Programming (SQP) per sampling time.

Optimization and Control

This approach enables the specification of model equations while preserving their parallelizable structure and, in turn, facilitates the parallel AD implementation.

Optimization and Control Distributed, Parallel, and Cluster Computing

The term `surrogate modeling' in computational science and engineering refers to the development of computationally efficient approximations for expensive simulations, such as those arising from numerical solution of partial differential equations (PDEs).

Numerical Analysis Numerical Analysis

However, due to limitations in experimental hardware and the disadvantage of implementing the algorithm in Julia compared to C language, neither the commercial solver nor cuPDLP reached their maximum efficiency.

Optimization and Control

Motivated by a real case in Singapore, we consider a POP-Locker Alliance who operates a set of POP-stations and wishes to improve the last-mile delivery by opening new locker facilities.

Optimization and Control

This paper describes autonomous racing of RC race cars based on mathematical optimization.

Optimization and Control Robotics Systems and Control