A note on the best invariant estimation of continuous probability distributions under mean square lossWe consider the nonparametric estimation problem of continuous probability distribution functions. For the integrated mean square error we provide the statistic corresponding to the best invariant…Thomas Schürmann·Oct 21, 2015SaveLearn
Online Unmixing of Multitemporal Hyperspectral Images accounting for Spectral VariabilityHyperspectral unmixing is aimed at identifying the reference spectral signatures composing an hyperspectral image and their relative abundance fractions in each pixel. In practice, the identified…Pierre-Antoine Thouvenin, Nicolas Dobigeon, Jean-Yves Tourneret·Oct 20, 2015SaveLearn
Structure of force networks in tapped particulate systems of disks and pentagons (Part 2): Persistence analysisIn the companion paper~paper1, we use classical measures based on force probability density functions (PDFs), as well as Betti numbers (quantifying the number of components, related to force…L. Kondic, M. Kramar, L. A. Pangolin et al.·Oct 14, 2015SaveLearn
Coupled uncertainty provided by a multifractal random walkerThe aim here is to study the concept of pairing multifractality between time series possessing non-Gaussian distributions. The increasing number of rare events creates "criticality". We show…Z. Koohi Lai, S. Vasheghani Farahani, S. M. S. Movahed et al.·Oct 11, 2015SaveLearn
Data-driven prediction and prevention of extreme events in a spatially extended excitable systemExtreme events occur in many spatially extended dynamical systems, often devastatingly affecting human life which makes their reliable prediction and efficient prevention highly desirable. We study…Stephan Bialonski, Gerrit Ansmann, Holger Kantz·Oct 8, 2015SaveLearn
Monotone measures of statistical complexityWe introduce and discuss the notion of monotonicity for the complexity measures of general probability distributions, patterned after the resource theory of quantum entanglement. Then, we explore…Łukasz Rudnicki, Irene V. Toranzo, Pablo Sanchez-Moreno et al.·Oct 6, 2015SaveLearn
Reaction rate in an evanescent random walkers systemDiffusion mediated reaction models are particularly ubiquitous in the description of physical, chemical or biological processes. The random walk schema is a useful tool for formulating these models.…Miguel A. Ré, Natalia C. Bustos·Oct 6, 2015SaveLearn
Time reversibility from visibility graphs of non-stationary processesVisibility algorithms are a family of methods to map time series into networks, with the aim of describing the structure of time series and their underlying dynamical properties in graph-theoretical…Lucas Lacasa, Ryan Flanagan·Oct 5, 2015SaveLearn
Reproducible Experiment PlatformData analysis in fundamental sciences nowadays is an essential process that pushes frontiers of our knowledge and leads to new discoveries. At the same time we can see that complexity of those…Tatiana Likhomanenko, Alex Rogozhnikov, Alexander Baranov et al.·Oct 1, 2015SaveLearn
Optimal Estimation of Recurrence Structures from Time SeriesRecurrent temporal dynamics is a phenomenon observed frequently in high-dimensional complex systems and its detection is a challenging task. Recurrence quantification analysis utilizing recurrence…Peter beim Graben, Kristin K. Sellers, Flavio Fröhlich et al.·Sep 30, 2015SaveLearn
Resolution enhancement by extrapolation of coherent diffraction images: A quantitative study on the limits and a numerical study of non-binary and phase objectsIn coherent diffractive imaging (CDI) the resolution of the reconstructed object is limited by the numerical aperture of the experimental setup. We present here a theoretical and numerical study for…Tatiana Latychevskaia, Yuriy Chushkin, Hans-Werner Fink·Sep 25, 2015SaveLearn
Stochastic Bifurcations induced by correlated Noise in a Birhythmic van der Pol SystemWe investigate the effects of exponentially correlated noise on birhythmic van der Pol type oscillators. The analytical results are obtained applying the quasi-harmonic assumption to the Langevin…R. Mbakob Yonkeu, R. Yamapi, G. Filatrella et al.·Sep 24, 2015SaveLearn
Bayesian ensemble refinement by replica simulations and reweightingWe describe different Bayesian ensemble refinement methods, examine their interrelation, and discuss their practical application. With ensemble refinement, the properties of dynamic and partially…Gerhard Hummer, Jürgen Köfinger·Sep 15, 2015SaveLearn
Stochastic modeling and performance monitoring of wind farm power productionWe present a new stochastic approach to describe and remodel the conversion process of a wind farm at a sampling frequency of 1Hz. When conditioning on various wind direction sectors, the dynamics of…Patrick Milan, Matthias Wächter, Joachim Peinke·Sep 10, 2015SaveLearn
Frequentist limit setting in effective field theoriesThe original frequentist approach for computing confidence intervals involves the construction of the confidence belt which provides a mapping of the observation in data into a subset of values for…Kristian Damlund Gregersen, Jørgen Beck Hansen·Sep 6, 2015SaveLearn
A method for comparing non-nested models with application to astrophysical searches for new physicsSearches for unknown physics and decisions between competing astrophysical models to explain data both rely on statistical hypothesis testing. The usual approach in searches for new physical…Sara Algeri, Jan Conrad, David A. van Dyk·Sep 3, 2015SaveLearn
A Hierarchical Bayes Ensemble Kalman FilterA new ensemble filter that allows for the uncertainty in the prior distribution is proposed and tested. The filter relies on the conditional Gaussian distribution of the state given the model-error…Michael Tsyrulnikov, Alexander Rakitko·Sep 2, 2015SaveLearn
ROOT - A C++ Framework for Petabyte Data Storage, Statistical Analysis and VisualizationROOT is an object-oriented C++ framework conceived in the high-energy physics (HEP) community, designed for storing and analyzing petabytes of data in an efficient way. Any instance of a C++ class…Ilka Antcheva, Maarten Ballintijn, Bertrand Bellenot et al.·Aug 31, 2015SaveLearn
Testing Universality in Critical Exponents: the Case of RainfallOne of the key clues to consider rainfall as a self-organized critical phenomenon is the existence of power-law distributions for rain-event sizes. We have studied the problem of universality in the…Anna Deluca, Pedro Puig, Alvaro Corral·Aug 26, 2015SaveLearn
Resolving Weak Sources within a Dense Array using a Network ApproachA non-parametric technique to identify weak sources within dense sensor arrays is developed using a network approach. No knowledge about the propagation medium is needed except that signal strengths…Nima Riahi, Peter Gerstoft·Aug 20, 2015SaveLearn
Fractional Mellin Transform -- A possible application in CFTWe propose a fractional variant of Mellin's transform which may find an application in the Conformal Field Theory. Its advantage is the presence of an arbitrary parameter which may substantially…R. A. Treumann, W. Baumjohann·Aug 19, 2015SaveLearn
Visualizing long vectors of measurements by use of the Hilbert curveThe use of Hilbert curves to visualize massive vector of data is revisited following previous authors. The Hilbert curve mapping preserves locality and makes meaningful representation of the data. We…E. Estevez-Rams, C. Perez-Davidenko, B. Aragón Fernández et al.·Aug 16, 2015SaveLearn
Establishing a direct connection between detrended fluctuation analysis and Fourier analysisTo understand methodological features of the detrended fluctuation analysis (DFA) using a higher-order polynomial fitting, we establish the direct connection between DFA and Fourier analysis. Based…Ken Kiyono·Aug 10, 2015SaveLearn
Exploring laser-driven quantum phenomena from a time-frequency analysis perspective: A comprehensive studyTime-frequency (TF) analysis is a powerful tool for exploring ultrafast dynamics in atoms and molecules. While some TF methods have demonstrated their usefulness and potential in several of quantum…Yae-lin Sheu, Hau-tieng Wu, Liang-Yan Hsu·Aug 9, 2015SaveLearn
How does noise affect the structure of a chaotic attractor: A recurrence network perspectiveWe undertake a preliminary numerical investigation to understand how the addition of white and colored noise to a time series affects the topology and structure of the underlying chaotic attractor.…Rinku Jacob, K. P. Harikrishnan, R. Misra et al.·Aug 8, 2015SaveLearn