Deep Narrow Boltzmann Machines are Universal Approximators

Authors: Guido Montufar

ICLR 2015 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical In this paper we prove that deep narrow Boltzmann machines are universal approximators, provided they have sufficiently many hidden layers, each containing the same number of units as the visible layer.
Researcher Affiliation Academia Guido Mont ufar Max Planck Institute for Mathematics in the Sciences Inselstrasse 22, 04103 Leipzig, Germany montufar@mis.mpg.de
Pseudocode No The paper focuses on theoretical proofs and mathematical derivations. It does not contain any pseudocode or algorithm blocks.
Open Source Code No The paper does not provide any statements about releasing open-source code for the methodology described.
Open Datasets No The paper is theoretical and does not involve training models or using datasets.
Dataset Splits No The paper is theoretical and does not involve experimental validation or dataset splits.
Hardware Specification No This is a theoretical paper and does not describe any hardware used for experiments.
Software Dependencies No This is a theoretical paper and does not mention any software dependencies with specific version numbers.
Experiment Setup No This is a theoretical paper and does not describe any experimental setup details such as hyperparameters or training settings.