Memory Savings by Sharing One Source: Insights into Subsetsum Approximation

27 Sept 2024 (modified: 03 Dec 2024)ICLR 2025 Conference Withdrawn SubmissionEveryoneRevisionsBibTeXCC BY 4.0
Keywords: Strong lottery tickets, Subsetsum approximation, Mixture of Experts, Ensembles, Memory savings, Discrete optimization
Abstract: Large deep neural networks, often fine-tuned from foundation models, dominate modern machine learning, but their high memory requirements limit deployment on resource-constrained devices. Strong lottery tickets (SLTs) offer a promising solution by significantly reducing memory usage, as they are fully characterized by a seed for generating a random source network and a binary mask. Notably, multiple models can share the same source network without increasing its width requirement. As we show, this source sharing can lead to memory savings when experts share specific sparsity patterns. Based on novel insights into optimized subset sum approximations, we also show how the masks can be adjusted to further reduce memory overhead. To validate these theoretical findings, we provide explicit SLT constructions in experiments.
Supplementary Material: zip
Primary Area: unsupervised, self-supervised, semi-supervised, and supervised representation learning
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Submission Number: 10323
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