The Hadamard conjecture states that Hadamard matrices of order $n$ exist whenever $n$ is $1$, $2$, or a multiple of $4$.
Combinatorics
There is growing interest in estimating and analyzing heterogeneous treatment effects in experimental and observational studies.
Statistics Theory Methodology Statistics Theory
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
Transductions are a general formalism for expressing transformations of graphs (and more generally, of relational structures) in logic.
Combinatorics Discrete Mathematics Logic in Computer Science Logic
These factors limit the use of these techniques for the online identification of a model in the low-data limit, for example following an abrupt change to the system dynamics.
Optimization and Control Dynamical Systems Data Analysis, Statistics and Probability
Consequently, we employ Quasi-Steady-State-Assumptions (QSSA) to reduce the stiffness of the ODE systems, and the PINN then can be successfully applied to the converted non/mild-stiff systems.
Numerical Analysis Numerical Analysis Chemical Physics Computational Physics
PySINDy is a Python package for the discovery of governing dynamical systems models from data.
Dynamical Systems Computational Physics
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
Reliable and efficient trajectory generation methods are a fundamental need for autonomous dynamical systems of tomorrow.
Optimization and Control Robotics Systems and Control Systems and Control
This article presents a reformulation of the Theory of Functional Connections: a general methodology for functional interpolation that can embed a set of user-specified linear constraints.
Numerical Analysis Numerical Analysis Analysis of PDEs 35D99, 65N35, 65M70