Results 21 to 30 of about 844,277 (275)

A novel approach to attention mechanism using kernel functions: Kerformer

Frontiers in Neurorobotics, 2023
Artificial Intelligence (AI) is driving advancements across various fields by simulating and enhancing human intelligence. In Natural Language Processing (NLP), transformer models like the Kerformer, a linear transformer based on a kernel approach, have ...
Yao Gan, Yanyun Fu, Deyong Wang, Yongming Li   +3 more
doaj   +1 more source

Diagrams for heat kernel expansions [PDF]

, 2001
A diagramatic heat kernel expansion technique is presented. The method is especially well suited to the small-derivative expansion of the heat kernel, but it can also be used to reproduce the results obtained by the approach known as covariant ...
de Bruno F, DeWitt B S, Fliegner D, Fock V A, Fulling S A, Gilkey P B, Gilkey P B, Hawking S W, Ian G Moss, Parker L, Schwinger J S, Seeley R T, van de Ven A E M, Vilkoviski G A, Wade Naylor   +14 more
core   +2 more sources

Further enumeration results concerning a recent equivalence of restricted inversion sequences [PDF]

Discrete Mathematics & Theoretical Computer Science, 2022
Let asc and desc denote respectively the statistics recording the number of ascents or descents in a sequence having non-negative integer entries.
Toufik Mansour, Mark Shattuck
doaj   +1 more source

Weighted Nash Inequalities [PDF]

, 2010
Nash or Sobolev inequalities are known to be equivalent to ultracontractive properties of Markov semigroups, hence to uniform bounds on their kernel densities.
Bakry, Dominique, Bolley, François, Gentil, Ivan, Maheux, Patrick   +3 more
core   +6 more sources

Biologically-Inspired Spike-Based Automatic Speech Recognition of Isolated Digits Over a Reproducing Kernel Hilbert Space

Frontiers in Neuroscience, 2018
This paper presents a novel real-time dynamic framework for quantifying time-series structure in spoken words using spikes. Audio signals are converted into multi-channel spike trains using a biologically-inspired leaky integrate-and-fire (LIF) spike ...
Kan Li, José C. Príncipe
doaj   +1 more source

Intelligent Fault Identification for Rolling Element Bearings in Impulsive Noise Environments Based on Cyclic Correntropy Spectra and LSSVM

IEEE Access, 2020
Rolling element bearings are important components in various types of industrial equipment. It is necessary to develop advanced fault diagnosis techniques to prevent unexpected accidents caused by bearing failures.
Xuejun Zhao, Yong Qin, Changbo He, Limin Jia   +3 more
doaj   +1 more source

Synthesis of neural networks for spatio-temporal spike pattern recognition and processing

Frontiers in Neuroscience, 2013
The advent of large scale neural computational platforms has highlighted the lack of algorithms for synthesis of neural structures to perform predefined cognitive tasks.
Jonathan C Tapson, Greg Kevin Cohen, Saeed eAfshar, Klaus M Stiefel, Yossi eBuskila, Tara Julia Hamilton, André evan Schaik   +6 more
doaj   +1 more source

Kernel Current Source Density Method [PDF]

Neural Computation, 2011
Local field potentials (LFP), the low-frequency part of extracellular electrical recordings, are a measure of the neural activity reflecting dendritic processing of synaptic inputs to neuronal populations. To localize synaptic dynamics, it is convenient, whenever possible, to estimate the density of transmembrane current sources (CSD) generating the ...
Wójcik Daniel K, Łęski Szymon, Jakuczun Wit, Potworowski Jan   +3 more
openaire   +3 more sources

Multivariate Time Series Clustering with State Space Dynamical Modeling and Grassmann Manifold Learning: A Systematic Review on Human Motion Data

Applied Sciences
Multivariate time series (MTS) clustering has been an essential research topic in various domains over the past decades. However, inherent properties of MTS data—namely, temporal dynamics and inter-variable correlations—make MTS clustering challenging ...
Sebin Heo, Andrew Beng Jin Teoh, Sunjin Yu, Beom-Seok Oh   +3 more
doaj   +1 more source

Bayesian Kernel Methods

International Journal of Big Data and Analytics in Healthcare, 2021
In the healthcare industry, sources look after different customers with diverse diseases and complications. Thus, at the source, a great amount of data in all aspects like status of the patients, behaviour of the diseases, etc. are collected, and now it becomes the job of the practitioner at source to use the available data for diagnosing the diseases ...
Arti Saxena, Vijay Kumar
openaire   +2 more sources