To demonstrate the potential of the approach, we address the identification of a linear non-autonomous system consisting of a shear building model excited by real seismograms, and the identification of a partially observed nonlinear system.
Dynamical Systems Systems and Control Systems and Control
There is growing interest in estimating and analyzing heterogeneous treatment effects in experimental and observational studies.
Statistics Theory Methodology Statistics Theory
We propose an algorithm that computes a description of the set of differential-algebraic relations between the input and output variables of a dynamical system model.
Algebraic Geometry Computational Geometry Symbolic Computation Systems and Control Systems and Control Quantitative Methods
The method is second-order accurate in time and space.
Numerical Analysis Numerical Analysis 35L65, 65M60, 65M12, 65N30
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
The Hadamard conjecture states that Hadamard matrices of order $n$ exist whenever $n$ is $1$, $2$, or a multiple of $4$.
Combinatorics
Fixing the relative price of each resource in this way inhibits granular price discovery, limiting scalability and opening up the possibility of denial-of-service attacks.
Optimization and Control Cryptography and Security Computer Science and Game 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
The recently proposed zero-order robust optimization (zoRO) algorithm mitigates the computational cost of uncertainty-aware MPC by propagating the uncertainties outside of the MPC problem.
Optimization and Control
The algebraic representation can be seen as a term of a free monoidal category or a proof tree for a small fragment of linear logic.
Category Theory Computational Geometry