ערן טרייסטר

אקדמי בכיר

An over complete deep learning method for inverse problems

Obtaining meaningful solutions for inverse problems has been a major challenge with many applications in science and engineering. Recent machine learning techniques based on proximal and diffusion-based methods have shown promising results. However, as we show in this work, they can also face challenges when applied to some exemplary problems. We show that, similar to previous works on over-complete dictionaries, it is possible to overcome these shortcomings by embedding the solution into higher dimensions. The novelty of the work proposed is that we jointly design and learn the embedding and the regularizer for the embedding vector. We demonstrate the merit of this approach on several exemplary and common inverse problems.

שפת פרסום אנגלית
דפים 50-71
כתב עת Foundations of Data Science
כרך 7
נושא מספר 1
סטטוס פרסום פורסם - 01.03.2025

Keywords

Convolutional neural networks
Inverse problems
Regularization

ASJC Scopus subject areas

Analysis
Statistics and Probability
Computational Theory and Mathematics
Applied Mathematics
גישה למסמך
10.3934/fods.2024036
קבצים וקישורים אחרים
Link to publication in Scopus