A Meta-learning Formulation of the Autoencoder Problem

07/14/2022
by   Andrey A Popov, et al.
0

A rapidly growing area of research is the use of machine learning approaches such as autoencoders for dimensionality reduction of data and models in scientific applications. We show that the canonical formulation of autoencoders suffers from several deficiencies that can hinder their performance. Using a meta-learning approach, we reformulate the autoencoder problem as a bi-level optimization procedure that explicitly solves the dimensionality reduction task. We prove that the new formulation corrects the identified deficiencies with canonical autoencoders, provide a practical way to solve it, and showcase the strength of this formulation with a simple numerical illustration.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
11/30/2022

DimenFix: A novel meta-dimensionality reduction method for feature preservation

Dimensionality reduction has become an important research topic as deman...
research
03/01/2018

Autoencoding topology

The problem of learning a manifold structure on a dataset is framed in t...
research
08/15/2022

On a Mechanism Framework of Autoencoders

This paper proposes a theoretical framework on the mechanism of autoenco...
research
11/09/2019

Sentence Meta-Embeddings for Unsupervised Semantic Textual Similarity

We address the task of unsupervised Semantic Textual Similarity (STS) by...
research
10/03/2019

Generalized Inner Loop Meta-Learning

Many (but not all) approaches self-qualifying as "meta-learning" in deep...
research
02/11/2019

Deep learning approach based on dimensionality reduction for designing electromagnetic nanostructures

In this paper, we demonstrate a computationally efficient new approach b...
research
04/22/2021

Chasing Collective Variables using Autoencoders and biased trajectories

In the last decades, free energy biasing methods have proven to be power...

Please sign up or login with your details

Forgot password? Click here to reset