Increment entropy as a measure of complexity for time seriesEntropy has been a common index to quantify the complexity of time series in a variety of fields. Here, we introduce increment entropy to measure the complexity of time series in which each increment…Xiaofeng Liu, Aimin Jiang, Ning Xu et al.·Feb 26, 2015SaveLearn
Bayesian field theoretic reconstruction of bond potential and bond mobility in single molecule force spectroscopyQuantifying the forces between and within macromolecules is a necessary first step in understanding the mechanics of molecular structure, protein folding, and enzyme function and performance. In such…Joshua C. Chang, Pak-Wing Fok, Tom Chou·Feb 23, 2015SaveLearn
The Langevin Approach: a simple stochastic method for complex phenomenaWe describe a simple stochastic method, so-called Langevin approach, which enables one to extract evolution equations of stochastic variables from a set of measurements. Our method is parameter-free…Nico Reinke, André Fuchs, Wided Medjroubi et al.·Feb 18, 2015SaveLearn
Benchmarking Compressed Sensing, Super-Resolution, and Filter DiagonalizationSignal processing techniques have been developed that use different strategies to bypass the Nyquist sampling theorem in order to recover more information than a traditional discrete Fourier…Thomas Markovich, Samuel M. Blau, Jacob N. Sanders et al.·Feb 17, 2015SaveLearn
From graphs to signals and back: Identification of network structures using spectral analysisMany systems comprising entities in interactions can be represented as graphs, whose structure gives significant insights about how these systems work. Network theory has undergone further…Ronan Hamon, Pierre Borgnat, Patrick Flandrin et al.·Feb 16, 2015SaveLearn
Tomographic X-ray data of a walnutThis is the documentation of the tomographic X-ray data of a walnut made available at http://www.fips.fi/dataset.php . The data can be freely used for scientific purposes with appropriate references…Keijo Hämäläinen, Lauri Harhanen, Aki Kallonen et al.·Feb 11, 2015SaveLearn
Performance Indicators of Wind Energy ProductionModeling wind speed is one of the key element when dealing with the production of energy through wind turbines. A good model can be used for forecasting, site evaluation, turbines design and many…G. D'Amico, F. Petroni, F. Prattico·Feb 11, 2015SaveLearn
Criticality of mostly informative samples: A Bayesian model selection approachWe discuss a Bayesian model selection approach to high dimensional data in the deep under sampling regime. The data is based on a representation of the possible discrete states s, as defined by the…Ariel Haimovici, Matteo Marsili·Feb 2, 2015SaveLearn
Fractal Dimension Computation From Equal Mass PartitionsWhile the numerical methods which utilizes partitions of equal-size, including the box-counting method, remain the most popular choice for computing the generalized dimension of multifractal sets,…Yui Shiozawa, Bruce N. Miller, Jean-Louis Rouet·Jan 21, 2015SaveLearn
Convergent Bayesian formulations of blind source separation and electromagnetic source estimationWe consider two areas of research that have been developing in parallel over the last decade: blind source separation (BSS) and electromagnetic source estimation (ESE). BSS deals with the recovery of…Kevin H. Knuth, Herbert G. Vaughan·Jan 21, 2015SaveLearn
Difficulties applying recent blind source separation techniques to EEG and MEGHigh temporal resolution measurements of human brain activity can be performed by recording the electric potentials on the scalp surface (electroencephalography, EEG), or by recording the magnetic…Kevin H. Knuth·Jan 21, 2015SaveLearn
Normalizing the causality between time seriesRecently, a rigorous yet concise formula has been derived to evaluate the information flow, and hence the causality in a quantitative sense, between time series. To assess the importance of a…X. San Liang·Jan 15, 2015SaveLearn
Point Information Gain and Multidimensional Data AnalysisWe generalize the Point information gain (PIG) and derived quantities, i.e. Point information entropy (PIE) and Point information entropy density (PIED), for the case of Rényi entropy and simulate…Renata Rychtáriková, Jan Korbel, Petr Macháček et al.·Jan 13, 2015SaveLearn
Noise-Produced Patterns in Images Constructed from Magnetic Flux Leakage DataMagnetic flux leakage measurements help identify the position, size and shape of corrosion-related defects in steel casings used to protect boreholes drilled into oil and gas reservoirs. Images…Anastasiya V. Pimenova, Denis S. Goldobin, Jeremy Levesley et al.·Jan 13, 2015SaveLearn
Magnetic Flux Leakage Method: Large-Scale ApproximationWe consider the application of the magnetic flux leakage (MFL) method to the detection of defects in ferromagnetic (steel) tubulars. The problem setup corresponds to the cases where the distance from…Anastasiya V. Pimenova, Denis S. Goldobin, Jeremy Levesley et al.·Jan 13, 2015SaveLearn
Can the bivariate Hurst exponent be higher than an average of the separate Hurst exponents?In this note, we investigate possible relationships between the bivariate Hurst exponent Hxy and an average of the separate Hurst exponents 12(Hx+Hy). We show that two cases are…Ladislav Kristoufek·Jan 13, 2015SaveLearn
Enhancing fractal descriptors on images by combining boundary and interior of Minkowski dilationThis work proposes to obtain novel fractal descriptors from gray-level texture images by combining information from interior and boundary measures of the Minkowski dilation applied to the texture…Marcos W. S. Oliveira, Dalcimar Casanova, João B. Florindo et al.·Dec 26, 2014SaveLearn
A more accurate measurement of the 28Si lattice parameterIn 2011, a discrepancy between the values of the Planck constant measured by counting Si atoms and by comparing mechanical and electrical powers prompted a review, among others, of the measurement of…Enrico Massa, Carlo Paolo Sasso, Giovanni Mana et al.·Dec 24, 2014SaveLearn
Big data need physical ideas and methodsIf a person looks at WHITE paper through BLUE glasses, the paper will become BLUE in the eye of the person. Likewise, in the current study of big data which play the same role as the white paper…J. P. Huang·Dec 22, 2014SaveLearn
Accuracy of the box-counting algorithm for noisy fractalsThe box-counting (BC) algorithm is applied to calculate fractal dimensions of four fractal sets. The sets are contaminated with an additive noise with amplitude γ= 10-5 ÷10-1. The accuracy of…A. Z. Gorski, M. Stroz, P. Oswiecimka et al.·Dec 20, 2014SaveLearn
Achievement of Preassigned Spectra in the Synthesis of Band-Pass Constant-Envelope Signals by Rapidly Hopping through Discrete FrequenciesSpread-spectrum signals are increasingly adopted in fields including communications, testing of electronic systems, Electro-Magnetic Compatibility (EMC) enhancement, ultrasonic non-destructive…Sergio Callegari·Dec 19, 2014SaveLearn
Information-Theoretic Methods for Identifying Relationships among Climate VariablesInformation-theoretic quantities, such as entropy, are used to quantify the amount of information a given variable provides. Entropies can be used together to compute the mutual information, which…Kevin H. Knuth, Deniz Gençağa, William B. Rossow·Dec 19, 2014SaveLearn
The Basics of Information GeometryTo what extent can we distinguish one probability distribution from another? Are there quantitative measures of distinguishability? The goal of this tutorial is to approach such questions by…Ariel Caticha·Dec 17, 2014SaveLearn
Blurring Out Cosmic PuzzlesThe Doomsday argument and anthropic reasoning are two puzzling examples of probabilistic confirmation. In both cases, a lack of knowledge apparently yields surprising conclusions. Since they are…Yann Benétreau-Dupin·Dec 14, 2014SaveLearn
Analog Forecasting with Dynamics-Adapted KernelsAnalog forecasting is a nonparametric technique introduced by Lorenz in 1969 which predicts the evolution of states of a dynamical system (or observables defined on the states) by following the…Zhizhen Zhao, Dimitrios Giannakis·Dec 11, 2014SaveLearn