SchrodingeRNN: Generative Modeling of Raw Audio as a Continuously Observed Quantum State

被引:0
|
作者
Uranga, Benat Mencia [1 ]
Lamacraft, Austen [1 ]
机构
[1] Univ Cambridge, TCM Grp, Cavendish Lab, JJ Thomson Ave, Cambridge CB3 0HE, England
来源
MATHEMATICAL AND SCIENTIFIC MACHINE LEARNING, VOL 107 | 2020年 / 107卷
基金
英国工程与自然科学研究理事会;
关键词
Machine Learning; Generative Models; Quantum Physics; Matrix Product States;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We introduce SchrodingeRNN, a quantum-inspired generative model for raw audio. Audio data is wave-like and is sampled from a continuous signal. Although generative modeling of raw audio has made great strides lately, relational inductive biases relevant to these two characteristics are mostly absent from models explored to date. Quantum Mechanics is a natural source of probabilistic models of wave behavior. Our model takes the form of a stochastic Schrodinger equation describing the continuous time measurement of a quantum system, and is equivalent to the continuous Matrix Product State (cMPS) representation of wavefunctions in one dimensional many-body systems. This constitutes a deep autoregressive architecture in which the system's state is a latent representation of the past observations. We test our model on synthetic data sets of stationary and non-stationary signals. This is the first time cMPS are used in machine learning.
引用
收藏
页码:74 / 106
页数:33
相关论文
共 50 条
  • [31] Estimating the Euclidean quantum propagator with deep generative modeling of Feynman paths
    Che, Yanming
    Gneiting, Clemens
    Nori, Franco
    PHYSICAL REVIEW B, 2022, 105 (21)
  • [32] Modeling of quantum beats of the state populations of a molecule
    V. A. Morozov
    Russian Journal of Physical Chemistry B, 2017, 11 : 381 - 390
  • [33] Modeling of Quantum Beats of the State Populations of a Molecule
    Morozov, V. A.
    RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY B, 2017, 11 (03) : 381 - 390
  • [34] Nonlinear ground-state absorption observed in a single quantum dot
    Beham, E
    Zrenner, A
    Findeis, F
    Bichler, M
    Abstreiter, G
    APPLIED PHYSICS LETTERS, 2001, 79 (17) : 2808 - 2810
  • [35] Quantum state smoothing: why the types of observed and unobserved measurements matter
    Chantasri, Areeya
    Guevara, Ivonne
    Wiseman, Howard M.
    NEW JOURNAL OF PHYSICS, 2019, 21 (08):
  • [36] Modeling deception as a two-state quantum system
    Schillaci, M
    Vendemia, J
    Buzan, R
    JOURNAL OF COGNITIVE NEUROSCIENCE, 2005, : 31 - 31
  • [37] Modeling and prospects for a solid-state quantum computer
    Ruda, HE
    Qiao, B
    PROCEEDINGS OF THE IEEE, 2003, 91 (11) : 1874 - 1883
  • [38] Modeling decoy state Quantum Key Distribution systems
    Mailloux, L. O.
    Engle, R. D.
    Grimaila, M. R.
    Hodson, D. D.
    Colombi, J. M.
    McLaughlin, C. V.
    JOURNAL OF DEFENSE MODELING AND SIMULATION-APPLICATIONS METHODOLOGY TECHNOLOGY-JDMS, 2015, 12 (04): : 489 - 506
  • [39] Quantum chemical modeling of the olefin oxidation in the triplet state
    Plechovich, Sergei D.
    Zelentsov, Sergei, V
    Minasyan, Yuri, V
    19TH INTERNATIONAL ELECTRONIC CONFERENCE ON SYNTHETIC ORGANIC CHEMISTRY, 2015,
  • [40] Determination of the possible quantum numbers for the newly observed Ξb(6227)0 state
    Azizi, K.
    Sarac, Y.
    Sundu, H.
    JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (03)