no code implementations • 12 Mar 2024 • Janina Schreiber, Pau Batlle, Damar Wicaksono, Michael Hecht
We introduce a surrogate-based black-box optimization method, termed Polynomial-model-based optimization (PMBO).
1 code implementation • 12 Feb 2024 • Biraj Pandey, Bamdad Hosseini, Pau Batlle, Houman Owhadi
This article presents a general framework for the transport of probability measures towards minimum divergence generative modeling and sampling using ordinary differential equations (ODEs) and Reproducing Kernel Hilbert Spaces (RKHSs), inspired by ideas from diffeomorphic matching and image registration.
1 code implementation • 28 Nov 2023 • Théo Bourdais, Pau Batlle, Xianjin Yang, Ricardo Baptista, Nicolas Rouquette, Houman Owhadi
Type 1: Approximate an unknown function given input/output data.
no code implementations • 8 May 2023 • Pau Batlle, Yifan Chen, Bamdad Hosseini, Houman Owhadi, Andrew M Stuart
We introduce a priori Sobolev-space error estimates for the solution of nonlinear, and possibly parametric, PDEs using Gaussian process and kernel based methods.
1 code implementation • 26 Apr 2023 • Pau Batlle, Matthieu Darcy, Bamdad Hosseini, Houman Owhadi
We present a general kernel-based framework for learning operators between Banach spaces along with a priori error analysis and comprehensive numerical comparisons with popular neural net (NN) approaches such as Deep Operator Net (DeepONet) [Lu et al.] and Fourier Neural Operator (FNO) [Li et al.].
no code implementations • 14 Dec 2022 • Kamaludin Dingle, Pau Batlle, Houman Owhadi
Here we explore how algorithmic information theory, especially algorithmic probability, may aid in a machine learning task.
1 code implementation • EMNLP 2021 • Mariella Dimiccoli, Herwig Wendt, Pau Batlle
This paper introduces a novel approach to learn visually grounded meaning representations of words as low-dimensional node embeddings on an underlying graph hierarchy.