A neural network wave formalism

被引：4
|
作者：
Miranker, Willard L. [1 ]
机构：
[1] Yale Univ, Dept Comp Sci, New Haven, CT 06520 USA
来源：
ADVANCES IN APPLIED MATHEMATICS | 2006年 / 37卷 / 01期
关键词：
Lagrangian; least action; neural net; path integral; Schrodinger equation; uncertainty principle; wave equation; wave function; wave-particle duality;
D O I：
10.1016/j.aam.2005.07.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using his path integral methodology, Feynman derived the constructs of quantum mechanics from the Lagrangian form of Newtonian mechanics. By employing a novel Lagrangian form of the canonical neural network equations, we derive analogously a complete wave formalism for the information transmission in neural networks. (C) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：19 / 30
页数：12
相关论文
共 50 条
  • [1] FORMALISM FOR NEURAL NETWORK OF VISUAL SYSTEMS
    STAVENGA, DG
    BEERSMA, DGM
    BIOLOGICAL CYBERNETICS, 1975, 19 (02) : 75 - 81
  • [2] The wave expansion neural network
    Dept. of Elec. and Comp. Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, United States
    不详
    NEUROCOMPUTING, 3 (237-258):
  • [3] The wave expansion neural network
    Kassim, AA
    Kumar, BVKV
    NEUROCOMPUTING, 1997, 16 (03) : 237 - 258
  • [4] Using Neural Network Formalism to Solve Multiple-Instance Problems
    Pevny, Tomas
    Somol, Petr
    ADVANCES IN NEURAL NETWORKS, PT I, 2017, 10261 : 135 - 142
  • [5] Adaptive neural network for wave forecasting
    Vlachos, DS
    Papadopoulos, A
    BUILDING THE EUROPEAN CAPACITY IN OPERATIONAL OCEANOGRAPHY, PROCEEDINGS, 2003, 69 : 403 - 406
  • [6] Recurrent neural network wave functions
    Hibat-Allah, Mohamed
    Ganahl, Martin
    Hayward, Lauren E.
    Melko, Roger G.
    Carrasquilla, Juan
    PHYSICAL REVIEW RESEARCH, 2020, 2 (02):
  • [7] ON THE EQUIVALENCE OF THE PARTICLE FORMALISM AND THE WAVE FORMALISM OF MESON
    TOKUOKA, Z
    TANAKA, H
    PROGRESS OF THEORETICAL PHYSICS, 1952, 8 (06): : 599 - 614
  • [8] DETERMINATION OF WAVE OVERTOPPING USING NEURAL NETWORK
    Tsai, Ching-Piao
    Daemrich, Karl-Friedrich
    Ho, Chuen-Lin
    PROCEEDINGS OF THE CHINESE-GERMAN JOINT SYMPOSIUM ON HYDRAULIC AND OCEAN ENGINEERING, 2008, : 517 - 521
  • [9] Neural network wave functions and the sign problem
    Szabo, Attila
    Castelnovo, Claudio
    PHYSICAL REVIEW RESEARCH, 2020, 2 (03):
  • [10] Wave physics as an analog recurrent neural network
    Hughes, Tyler W.
    Williamson, Ian A. D.
    Minkov, Momchil
    Fan, Shanhui
    SCIENCE ADVANCES, 2019, 5 (12):
12345