Kernel density estimation via diffusion
TLDR
A new adaptive kernel density estimator based on linear diffusion processes that builds on existing ideas for adaptive smoothing by incorporating information from a pilot density estimate and a new plug-in bandwidth selection method that is free from the arbitrary normal reference rules used by existing methods.Abstract:
We present a new adaptive kernel density estimator based on linear diffusion processes. The proposed estimator builds on existing ideas for adaptive smoothing by incorporating information from a pilot density estimate. In addition, we propose a new plug-in bandwidth selection method that is free from the arbitrary normal reference rules used by existing methods. We present simulation examples in which the proposed approach outperforms existing methods in terms of accuracy and reliability.read more
Citations
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Journal ArticleDOI
IsoplotR: A free and open toolbox for geochronology
TL;DR: The basic principles of radiometric geochronology as implemented in a new software package called IsoplotR, which was designed to be free, flexible and future-proof, are reviewed.
Journal ArticleDOI
On the visualisation of detrital age distributions
TL;DR: In this paper, the authors proposed Kernel Density Estimation (KDE), a more robust alternative to the Probability Density Plot (PDP), which also involves summing a set of Gaussian distributions, but does not explicitly take into account the analytical uncertainties.
Journal ArticleDOI
Recovering Gene Interactions from Single-Cell Data Using Data Diffusion.
David van Dijk,Roshan Sharma,Roshan Sharma,Juozas Nainys,Juozas Nainys,Kristina Yim,Pooja Kathail,Pooja Kathail,Ambrose J. Carr,Ambrose J. Carr,Cassandra Burdziak,Kevin R. Moon,Christine L. Chaffer,Diwakar R. Pattabiraman,Brian Bierie,Linas Mazutis,Guy Wolf,Smita Krishnaswamy,Dana Pe'er +18 more
TL;DR: MAGIC as mentioned in this paper is a Markov affinity-based graph imputation of cells that shares information across similar cells, via data diffusion, to denoise the cell count matrix and fill in missing transcripts.
Journal ArticleDOI
Methods for Summarizing Radiocarbon Datasets
TL;DR: Three different approaches are compared: “Sum” distributions, postulated undated events, and kernel density approaches and their suitability for visualizing the results from chronological and geographic analyses considered for cases with and without useful prior information.
Journal ArticleDOI
CaImAn an open source tool for scalable calcium imaging data analysis
Andrea Giovannucci,Johannes Friedrich,Pat Gunn,Jeremie Kalfon,Brandon L Brown,Sue Ann Koay,Jiannis Taxidis,Farzaneh Najafi,Jeffrey L. Gauthier,Pengcheng Zhou,Baljit S. Khakh,David W. Tank,Dmitri B. Chklovskii,Eftychios A. Pnevmatikakis +13 more
TL;DR: CaImAn provides automatic and scalable methods to address problems common to pre-processing, including motion correction, neural activity identification, and registration across different sessions of data collection, while requiring minimal user intervention.
References
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