Entropy in the category of perfect complexes with cohomology of finite length
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2018.09.008
Abstract: Abstract Local and category-theoretical entropies associated with an endomorphism of finite length (i.e., with zero-dimensional closed fiber) of a commutative Noetherian local ring are compared. Local entropy is shown to be less than or equal… read more here.
Keywords: category; entropy; finite length; local entropy ... See more keywords
Partial local entropy and anisotropy in deep weight spaces
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.103.042303
Abstract: We refine a recently proposed class of local entropic loss functions by restricting the smoothening regularization to only a subset of weights. The new loss functions are referred to as partial local entropies. They can… read more here.
Keywords: anisotropy deep; anisotropy; partial local; local entropy ... See more keywords
Hybrid Preprocessing Algorithm for Endmember Extraction Using Clustering, Over-Segmentation, and Local Entropy Criterion
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing"
DOI: 10.1109/jstars.2017.2694439
Abstract: Most spectral mixture analyses in the literature overlook the spatial correlation of neighborhood pixels. The main contribution of this paper is to consider the impacts of both spatial and spectral information prior to endmember (EM)… read more here.
Keywords: extraction; entropy criterion; segmentation; endmember extraction ... See more keywords
On Local Entropy, Stochastic Control, and Deep Neural Networks
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2022.3189927
Abstract: In this letter, we connect some recent papers on smoothing of energy landscapes and scored-based generative models of machine learning to classical work in stochastic control. We clarify these connections providing rigorous statements and representations… read more here.
Keywords: deep neural; control; control deep; entropy stochastic ... See more keywords
Pixel Difference Function and Local Entropy-Based Speckle Reducing Anisotropic Diffusion
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2022.3182886
Abstract: Speckles destroy the texture details of synthetic aperture radar (SAR) images, thereby constraining their high-precision application. Speckle suppression and edge preservation are two aspects that need to be balanced in despeckling. Although a conventional anisotropic… read more here.
Keywords: function; diffusion; local entropy; anisotropic diffusion ... See more keywords
Local Entropy Statistics for Point Processes
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2019.2941213
Abstract: Point processes are often described with functionals, such as the probability generating functional, the Laplace functional, and the factorial cumulant generating functional. These are used to facilitate modelling of different processes and to determine important… read more here.
Keywords: statistics point; local entropy; generating functional; point processes ... See more keywords
Adaptive filtering and analysis of EEG signals in the time-frequency domain based on the local entropy
Sign Up to like & getrecommendations! Published in 2020 at "EURASIP Journal on Advances in Signal Processing"
DOI: 10.1186/s13634-020-00667-6
Abstract: The brain dynamics in the electroencephalogram (EEG) data are often challenging to interpret, specially when the signal is a combination of desired brain dynamics and noise. Thus, in an EEG signal, anything other than the… read more here.
Keywords: analysis; time frequency; analysis eeg; frequency domain ... See more keywords