Results 1 to 10 of about 806,396 (338)

On distributional finite continuous Radon transform in certain spaces

open access: yesAIMS Mathematics, 2021
The classical finite continuous Radon transform is extended to generalized functions on certain spaces. The inversion formula by the kernel method is shown in a weak distributional sense. In the concluding section, its application in Mathematical Physics
Nitu Gupta, V. R. Lakshmi Gorty
doaj   +1 more source

Biologically-Inspired Pulse Signal Processing for Intelligence at the Edge

open access: yesFrontiers in Artificial Intelligence, 2021
There is an ever-growing mismatch between the proliferation of data-intensive, power-hungry deep learning solutions in the machine learning (ML) community and the need for agile, portable solutions in resource-constrained devices, particularly for ...
Kan Li, José C. Príncipe
doaj   +1 more source

Scalar-on-Function Relative Error Regression for Weak Dependent Case

open access: yesAxioms, 2023
Analyzing the co-variability between the Hilbert regressor and the scalar output variable is crucial in functional statistics. In this contribution, the kernel smoothing of the Relative Error Regression (RE-regression) is used to resolve this problem ...
Zouaoui Chikr Elmezouar   +5 more
doaj   +1 more source

Multiscale Monitoring Using Machine Learning Methods: New Methodology and an Industrial Application to a Photovoltaic System

open access: yesMathematics, 2022
In this study, a multiscale monitoring method for nonlinear processes was developed. We introduced a machine learning tool for fault detection and isolation based on the kernel principal component analysis (PCA) and discrete wavelet transform.
Hanen Chaouch   +4 more
doaj   +1 more source

Nonparametric Estimation of the Expected Shortfall Regression for Quasi-Associated Functional Data

open access: yesMathematics, 2022
In this paper, we study the nonparametric estimation of the expected shortfall regression when the exogenous observation is functional. The constructed estimator is obtained by combining the double kernels estimator of both conditional value at risk and ...
Larbi Ait-Hennani   +3 more
doaj   +1 more source

Unlabeled $(2+2)$-free posets, ascent sequences and pattern avoiding permutations [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
We present statistic-preserving bijections between four classes of combinatorial objects. Two of them, the class of unlabeled $(\textrm{2+2})$-free posets and a certain class of chord diagrams (or involutions), already appeared in the literature, but ...
Mireille Bousquet-Mélou   +3 more
doaj   +1 more source

Wilf classification of triples of 4-letter patterns I [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
This paper is first part of a complete paper in arXiv , see 1605.04969.
David Callan   +2 more
doaj   +1 more source

Automatic Epileptic Seizure Detection Using Graph-Regularized Non-Negative Matrix Factorization and Kernel-Based Robust Probabilistic Collaborative Representation

open access: yesIEEE Transactions on Neural Systems and Rehabilitation Engineering, 2022
Automatic seizure detection system can serve as a meaningful clinical tool for the treatment and analysis of epilepsy using electroencephalogram (EEG) and has obtained rapid development.
Shasha Yuan   +6 more
doaj   +1 more source

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

open access: yesFrontiers 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

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

open access: yesFrontiers 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   +6 more
doaj   +1 more source

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