Bayesian Lottery Ticket Hypothesis

Fuente: arXiv
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Autori principali: Kuhn, Nicholas, Weyrauch, Arvid, Heyen, Lars, Streit, Achim, Götz, Markus, Debus, Charlotte
Natura: Preprint
Pubblicazione: 2026
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author Kuhn, Nicholas
Weyrauch, Arvid
Heyen, Lars
Streit, Achim
Götz, Markus
Debus, Charlotte
author_facet Kuhn, Nicholas
Weyrauch, Arvid
Heyen, Lars
Streit, Achim
Götz, Markus
Debus, Charlotte
contents Bayesian neural networks (BNNs) are a useful tool for uncertainty quantification, but require substantially more computational resources than conventional neural networks. For non-Bayesian networks, the Lottery Ticket Hypothesis (LTH) posits the existence of sparse subnetworks that can train to the same or even surpassing accuracy as the original dense network. Such sparse networks can lower the demand for computational resources at inference, and during training. The existence of the LTH and corresponding sparse subnetworks in BNNs could motivate the development of sparse training algorithms and provide valuable insights into the underlying training process. Towards this end, we translate the LTH experiments to a Bayesian setting using common computer vision models. We investigate the defining characteristics of Bayesian lottery tickets, and extend our study towards a transplantation method connecting BNNs with deterministic Lottery Tickets. We generally find that the LTH holds in BNNs, and winning tickets of matching and surpassing accuracy are present independent of model size, with degradation at very high sparsities. However, the pruning strategy should rely primarily on magnitude, secondly on standard deviation. Furthermore, our results demonstrate that models rely on mask structure and weight initialization to varying degrees.
format Preprint
id arxiv_https___arxiv_org_abs_2602_18825
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Bayesian Lottery Ticket Hypothesis
Kuhn, Nicholas
Weyrauch, Arvid
Heyen, Lars
Streit, Achim
Götz, Markus
Debus, Charlotte
Machine Learning
Computer Vision and Pattern Recognition
Bayesian neural networks (BNNs) are a useful tool for uncertainty quantification, but require substantially more computational resources than conventional neural networks. For non-Bayesian networks, the Lottery Ticket Hypothesis (LTH) posits the existence of sparse subnetworks that can train to the same or even surpassing accuracy as the original dense network. Such sparse networks can lower the demand for computational resources at inference, and during training. The existence of the LTH and corresponding sparse subnetworks in BNNs could motivate the development of sparse training algorithms and provide valuable insights into the underlying training process. Towards this end, we translate the LTH experiments to a Bayesian setting using common computer vision models. We investigate the defining characteristics of Bayesian lottery tickets, and extend our study towards a transplantation method connecting BNNs with deterministic Lottery Tickets. We generally find that the LTH holds in BNNs, and winning tickets of matching and surpassing accuracy are present independent of model size, with degradation at very high sparsities. However, the pruning strategy should rely primarily on magnitude, secondly on standard deviation. Furthermore, our results demonstrate that models rely on mask structure and weight initialization to varying degrees.
title Bayesian Lottery Ticket Hypothesis
topic Machine Learning
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2602.18825