Results 31 to 40 of about 21,160 (284)

Generalizing with perceptrons in case of structured phase- and pattern-spaces

, 1997
We investigate the influence of different kinds of structure on the learning behaviour of a perceptron performing a classification task defined by a teacher rule. The underlying pattern distribution is permitted to have spatial correlations.
Anlauf J K, B Schottky, Berg J, Biehl M, Biehl M, Bishop C M, Bruce A D, Buhmann J, Cortes C, Dirscherl G, Engel A, G Dirscherl, Gardner E, Hertz J, MacKay D J C, MacKay D J C, Monasson R, Opper M, Opper M, Pöppel G, Schottky B, Schottky B, Tarkowski W, U Krey, Watkin T L H   +24 more
core   +2 more sources

Fisher Information Matrix and its Application of Bipolar Activation Function Based Multilayer Perceptrons With General Gaussian Input

IEEE Access, 2022
For the widely used multilayer perceptrons (MLPs), there exist singularities in the parameter space where Fisher information matrix (FIM) degenerates on these subspaces.
Weili Guo, Guangyu Li, Jianfeng Lu
doaj   +1 more source

Error correcting code using tree-like multilayer perceptron

, 2010
An error correcting code using a tree-like multilayer perceptron is proposed. An original message $\mbi{s}^0$ is encoded into a codeword $\boldmath{y}_0$ using a tree-like committee machine (committee tree) or a tree-like parity machine (parity tree ...
A. Engel, C. E. Shannon, D. J. C. MacKay, D. MacKay, Florent Cousseau, H. Nishimori, H. Nishimori, Kazushi Mimura, Masato Okada   +8 more
core   +1 more source

On the capabilities of multilayer perceptrons

Journal of Complexity, 1988
What is the smallest multilayer perceptron able to compute arbitrary and random functions? Previous results show that a net with one hidden layer containing N-1 threshold units is capable of implementing an arbitrary dichotomy of N points. A construction is presented here for implementing an arbitrary dichotomy with one hidden layer containing \(\lceil
openaire   +2 more sources

The Hybrid of Multilayer Perceptrons: A New Geostatistical Tool to Generate High-Resolution Climate Maps in Developing Countries

Mathematics, 2023
The ability to produce high-resolution climate maps is crucial for assessing climate change impacts and mitigating climate disasters and risks in developing countries.
Yue Han, Zhihua Zhang, Fekadu Tadege Kobe   +2 more
doaj   +1 more source

Properties of an invariant set of weights of perceptrons [PDF]

, 2008
In this paper, the dynamics of weights of perceptrons are investigated based on the perceptron training algorithm. In particular, the condition that the system map is not injective is derived. Based on the derived condition, an invariant set that results
Ho, Charlotte Yuk-Fan, Iu, Herbert H C, Lam, Hak-Keung, Ling, Bingo Wing-Kuen, Nasir, Muhammad Habib Ullah   +4 more
core   +1 more source

Multilayer Perceptron Algebra

CoRR, 2017
Artificial Neural Networks(ANN) has been phenomenally successful on various pattern recognition tasks. However, the design of neural networks rely heavily on the experience and intuitions of individual developers. In this article, the author introduces a mathematical structure called MLP algebra on the set of all Multilayer Perceptron Neural Networks ...
openaire   +2 more sources

Sinusoidal Approximation Theorem for Kolmogorov–Arnold Networks

Mathematics
The Kolmogorov–Arnold representation theorem states that any continuous multivariable function can be exactly represented as a finite superposition of continuous single-variable functions.
Sergei Gleyzer, Hanh Nguyen, Dinesh P. Ramakrishnan, Eric A. F. Reinhardt   +3 more
doaj   +1 more source

Human-Centric AI for Trustworthy IoT Systems With Explainable Multilayer Perceptrons

IEEE Access, 2019
Internet of Things (IoT) widely use analysis of data with artificial intelligence (AI) techniques in order to learn from user actions, support decisions, track relevant aspects of the user, and notify certain events when appropriate.
Ivan Garcia-Magarino, Rajarajan Muttukrishnan, Jaime Lloret   +2 more
doaj   +1 more source

Statistical mechanics of lossy compression using multilayer perceptrons

, 2006
Statistical mechanics is applied to lossy compression using multilayer perceptrons for unbiased Boolean messages. We utilize a tree-like committee machine (committee tree) and tree-like parity machine (parity tree) whose transfer functions are monotonic.
C. E. Shannon, C. E. Shannon, Kazushi Mimura, Masato Okada, T. M. Cover, W. Krauth   +5 more
core   +1 more source