Search Results for author: Pau Batlle

Found 7 papers, 4 papers with code

Diffeomorphic Measure Matching with Kernels for Generative Modeling

1 code implementation12 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.

Image Registration

Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs

no code implementations8 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.

Kernel Methods are Competitive for Operator Learning

1 code implementation26 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.].

Operator learning Uncertainty Quantification

Multiclass classification utilising an estimated algorithmic probability prior

no code implementations14 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.

Classification

Learning grounded word meaning representations on similarity graphs

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.

Graph Embedding

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