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An optimal control approach for neural network architecture adaptation with a posteriori error estimation

C G Krishnanunni, Thomas Scott, Tan Bui-Thanh

Laplace-Fisher Gate Identities for Optimal Matrix-Gated Blended Score Estimation

Alois Duston, Tan Bui-Thanh

Second-order consistency for learning chaotic dynamics via randomized Jacobian matching

Shinhoo Kang, Hai V. Nguyen, Tan Bui-Thanh

From an Elementary Proof of Error Representation for Hermite Quadrature to a Rediscovery of Legendre Polynomials and Rodrigues Formula

Tan Bui-Thanh, Giancarlo Villatoro, C. G. Krishnanunni

A New Look at the Ensemble Kalman Filter for Inverse Problems: Duality, Non-Asymptotic Analysis and Convergence Acceleration

C G Krishnanunni, Jonathan Wittmer, Tan Bui-Thanh, Quoc P. Nguyen

Variance-Reduced Diffusion Sampling via Target Score Identity

Alois Duston, Tan Bui-Thanh

Evaluating nAI and Quadrature Based Neural Networks

John Breedis, Tan Bui-Thanh

Adjoint and Its roles in Sciences, Engineering, and Mathematics: A Tutorial

This paper synergizes the roles of adjoint in various disciplines of mathematics, sciences, and engineering. Though the materials …