On the Sparsity of the Strong Lottery Ticket Hypothesis

Authors: Emanuele Natale, Davide Ferre, Giordano Giambartolomei, Frederic Giroire, Frederik Mallmann-Trenn

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Reproducibility Variable Result LLM Response
Research Type Theoretical We provide the first proof of the SLTH in classical settings, such as dense and equivariant networks, with guarantees on the sparsity of the subnetworks. Central to our results, is the proof of an essentially tight bound on the Random Fixed-Size Subset Sum Problem (RFSS), a variant of the RSS Problem in which we only ask for subsets of a given size, which is of independent interest. Our proof of the RFSS Problem in Section 3 is based on the second moment method approach first explored by [18]. The paper does not include experiments.
Researcher Affiliation Academia Emanuele Natale Universit e Cˆote d Azur, CNRS, Inria, I3S, France Davide Ferr e Universit e Cˆote d Azur, CNRS, Inria, I3S, France Giordano Giambartolomei Department of Informatics, King s College London Fr ed eric Giroire Universit e Cˆote d Azur, CNRS, Inria, I3S, France Frederik Mallmann-Trenn Department of Informatics, King s College London
Pseudocode No The paper contains formal mathematical proofs and theorems but does not include any explicitly labeled 'Pseudocode' or 'Algorithm' blocks.
Open Source Code No The paper does not include experiments.
Open Datasets No The paper does not include experiments.
Dataset Splits No The paper does not include experiments.
Hardware Specification No The paper does not include experiments.
Software Dependencies No The paper does not include experiments.
Experiment Setup No The paper does not include experiments.