Topics in Circular Statistics

Jammalamadaka, S. Rao; SenGupta, Ashis

doi:10.1142/4031

Cited by 1,033 publications

(725 citation statements)

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“…This step allows us to find the source for a possible expanding wave in each cycle (step 2, Figure 1-figure supplement 2), about which the phase field is then evaluated to quantify the evidence for an expanding wave spatiotemporal organization (step 3, Figure 1-figure supplement 2). For this next step, we calculate the circular-linear correlation coefficient f;d (Jammalakadaka and Sengupta, 2001;Berens, 2009) between signal phase f and radial distance d from the source point in the original, unsmoothed phase field…”

Section: Detection Of Expanding Wavesmentioning

confidence: 99%

Rotating waves during human sleep spindles organize global patterns of activity that repeat precisely through the night

Muller

Piantoni

Koller

et al. 2016

eLife

173

229

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During sleep, the thalamus generates a characteristic pattern of transient, 11-15 Hz sleep spindle oscillations, which synchronize the cortex through large-scale thalamocortical loops. Spindles have been increasingly demonstrated to be critical for sleep-dependent consolidation of memory, but the specific neural mechanism for this process remains unclear. We show here that cortical spindles are spatiotemporally organized into circular wave-like patterns, organizing neuronal activity over tens of milliseconds, within the timescale for storing memories in large-scale networks across the cortex via spike-time dependent plasticity. These circular patterns repeat over hours of sleep with millisecond temporal precision, allowing reinforcement of the activity patterns through hundreds of reverberations. These results provide a novel mechanistic account for how global sleep oscillations and synaptic plasticity could strengthen networks distributed across the cortex to store coherent and integrated memories.

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Section: Detection Of Expanding Wavesmentioning

confidence: 99%

Rotating waves during human sleep spindles organize global patterns of activity that repeat precisely through the night

Muller

Piantoni

Koller

et al. 2016

eLife

173

229

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“…Now we show that the above estimator is of the same form as the circular density estimator given in (3). Recognize that…”

Section: Smooth Circular Density Estimator Derived From An Estimatormentioning

confidence: 70%

“…In the literature on modeling circular data, starting from the classical text of Mardia [1], the standard texts such as Fisher [2], Jammalamadaka and SenGupta [3], and Mardia and Jupp [4] cover parametric models along with many inference problems. More recently various alternatives to these classical parametric models, exhibiting asymmetry and multimodality, have been investigated with respect to their mathematical properties and goodness of fit to some real data; see Abe and Pewsey [5], Jones and Pewsey [6], Kato and Jones [7], Kato and Jones [8], Minh and Farnum [9], and Shimizu and Lida [10].…”

Section: Introductionmentioning

confidence: 99%

Smooth Kernel Estimation of a Circular Density Function: A Connection to Orthogonal Polynomials on the Unit Circle

Chaubey

2018

Journal of Probability and Statistics

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The circular kernel density estimator, with the wrapped Cauchy kernel, is derived from the empirical version of Carathéodory function that is used in the literature on orthogonal polynomials on the unit circle. An equivalence between the resulting circular kernel density estimator, to Fourier series density estimator, has also been established. This adds further weight to the considerable role of the wrapped Cauchy distribution in circular statistics.

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“…To asses whether the directional pattern of gene responses significantly differs from a uniform distribution, we apply Watson's goodness of fit test [Ste70,JS01], and for comparing two different gradient distributions, e.g. for two different herbivores, we use Watson's two-sample test of homogenity [JS01].…”

Section: Poster 22mentioning

confidence: 99%

Poster abstracts of GCB 2015

Eisenacher

Rahnenführer

Mosig

et al. 2015

Preprint

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EDITORIALThe poster session is and always has been an important part of the German Conference on Bioinformatics, as it gives an excellent overview of current bioinformatics research topics in Germany and other countries. At GCB 2015, there will be 57 posters on display, whose abstracts (together with the poster number) are collected in the present document. Poster prizes will be presented to the presenting author(s) of the best posters, as selected by the program committee. PrePrintsMining for common reactivity patterns of human autoantibodies against endogenous protein targets using clustered autoantibody reactivities Hans-Dieter Zucht, Daniel Chamrad, Anna Telaar, Martin Gamer, Stefan Vordenbäumen, Peter Schulz-Knappe, Matthias Schneider and Petra

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Topics in Circular Statistics

Cited by 1,033 publications

References 0 publications

Rotating waves during human sleep spindles organize global patterns of activity that repeat precisely through the night

Rotating waves during human sleep spindles organize global patterns of activity that repeat precisely through the night

Smooth Kernel Estimation of a Circular Density Function: A Connection to Orthogonal Polynomials on the Unit Circle

Poster abstracts of GCB 2015

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