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Generative modeling with projected entangled-pair states

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arxiv 2202.08177 v1 pith:CMVFQQAR submitted 2022-02-16 quant-ph cond-mat.stat-mechcs.CVcs.LG

classification quant-phcond-mat.stat-mechcs.CVcs.LG
keywords statesentangled-pairgenerativemodelingpepsprojectedsamplingalgorithm
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We argue and demonstrate that projected entangled-pair states (PEPS) outperform matrix product states significantly for the task of generative modeling of datasets with an intrinsic two-dimensional structure such as images. Our approach builds on a recently introduced algorithm for sampling PEPS, which allows for the efficient optimization and sampling of the distributions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. No-Free-Lunch Theories for Tensor-Network Machine Learning Models

    quant-ph 2024-12 conditional novelty 6.0 of 10

    Tensor-network machine learning models (MPS and PEPS) have average generalization risk lower bounded by explicit functions of training-set size and bond dimension, formalizing no-free-lunch limits for quantum-inspired...

  2. Bayesian perspectives for quantum states and application to ab initio quantum chemistry

    cond-mat.str-el 2025-08 conditional novelty 3.0 of 10

    A review of Bayesian Gaussian Process States for ab initio quantum chemistry, with new MNIST digit classification results reaching about 1.6% test error.

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