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Dimitrios Bachtis

dblp:286/1323 · DBLP profile ↗
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1ranked-venue papers
1as first author
1since 2021 · last 2024
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Artificial intelligence and machine learning · 1 · 1 first-author · 1 since 2021

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Artificial intelligence
1 paper
Generative modeling · 28% Probabilistic and Bayesian machine learning · 28% Deep learning architectures and training · 28%

Topics — the 5 heaviest of 5, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Machine learning › Generative modeling
energy-based model
0.812024
Cascade of phase transitions in the training of energy-based models · NeurIPS 2024
Machine learning › Probabilistic and Bayesian machine learning › boltzmann machine
restricted boltzmann machine
0.812024
Cascade of phase transitions in the training of energy-based models · NeurIPS 2024
Machine learning › Deep learning architectures and training
training dynamics
0.812024
Cascade of phase transitions in the training of energy-based models · NeurIPS 2024
Machine learning › Learning theory
phase transition
0.212024
Cascade of phase transitions in the training of energy-based models · NeurIPS 2024
Machine learning › Learning theory › statistical learning theory
statistical physics of learning
0.212024
Cascade of phase transitions in the training of energy-based models · NeurIPS 2024

Methods — techniques the papers use, named apart from their topics

singular value decomposition · 0.8mean-field theory · 0.8finite-size scaling · 0.8
YearPublicationVenuePosition
2024 Cascade of phase transitions in the training of energy-based models
abstract
In this paper, we investigate the feature encoding process in a prototypical energy-based generative model, the Restricted Boltzmann Machine (RBM). We start with an analytical investigation using simplified architectures and data structures, and end with numerical analysis of real trainings on real datasets. Our study tracks the evolution of the model’s weight matrix through its singular value decomposition, revealing a series of thermodynamic phase transitions that shape the principal learning modes of the empirical probability distribution. We first describe this process analytically in several controlled setups that allow us to fully monitor the training dynamics until convergence. We then validate these findings by training the Bernoulli-Bernoulli RBM on real data sets. By studying the phase behavior over data sets of increasing dimension, we show that these phase transitions are genuine in the thermodynamic sense. Moreover, we propose a mean-field finite-size scaling hypothesis, confirming that the initial phase transition, reminiscent of the paramagnetic-to-ferromagnetic phase transition in mean-field ferromagnetism models, is governed by mean-field critical exponents.
Dimitrios Bachtis, Giulio Biroli, Aurélien Decelle, Beatriz Seoane
NeurIPS1