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Starting from the 1-dimensional complex-valued Ornstein-Uhlenbeck process, we present two natural ways to imply the associated eigenfunctions of the 2-dimensional normal Ornstein-Uhlenbeck operators i...
The Landscape of Complex Networks     Landscape  Complex Networks       font style='font-size:12px;'> 2016/1/20
Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the net-work setting, critical nodes of different indices are defined...
Simulation-based parameter estimation offers a powerful means of estimating parameters in complex stochastic models. We illustrate the application of these ideas in the setting of a natural history mo...
The complex search process of invention     Innovation  Invention  Search  Discovery       font style='font-size:12px;'> 2015/7/3
We inductively develop a process model of individual search in the context of technological invention, an important aspect of economic development that is also fundamental to the success of many organ...
This is the second of a series of papers which is devoted to a comprehensive theory of maps between orbifolds. In this paper, we develop a basic machinery for studying homotopy classes of such maps. I...
Fix m greater than one and let E be an elliptic curve over Q with complex multiplication. We formulate conjectures on the density of primes p (congruent to one modulo m) for which the pth Fourier coef...
Troubled nations pose a complex dilemma for policy makers in international organizations. This study seeks to identify behavior patterns for the multiple entities operating among populations where the...
Eigen techniques such as empirical orthogonal function (EOF) or coupled pattern (CP) analysis have been frequently used for detecting patterns in multivariate climatological data sets. Recently, stati...
We present a support vector machines (SVM) rationale suitable for regression and quaternary classification problems that use complex data, exploiting the notions of widely linear estimation and pure c...
Poly-Omic Prediction of Complex Traits: OmicKriging     Poly-Omic Prediction  Complex Traits  OmicKriging       font style='font-size:12px;'> 2013/4/27
High-confidence prediction of complex traits such as disease risk or drug response is an ultimate goal of personalized medicine. Although genome-wide association studies have discovered thousands of w...
To elucidate allometric scaling in complex systems, we investigated the underlying scaling rela-tionships between typical three-scale indicators for approximately 500,000 Japanese firms; namely,annual...
Following a series of high-pro le drug safety disasters in recent years, many countries are redoubling their e orts to ensure the safety of licensed medical products. Large-scale observa-tional databa...
Nuclear Magnetic Resonance (NMR) spectra are widely used in metabolomics to obtain profiles of metabolites dissolved in biofluids such as cell supernatants. Methods for estimating metabolite concent...
Cluster projects are projects of large-scale or with huge investment, such as Beijing 2008 Olympic Games and Shanghai 2010 Expo. A lot of on-site management works are involved in the process of cluste...
Cluster projects are projects of large-scale or with huge investment, such as Beijing 2008 Olympic Games and Shanghai 2010 Expo. A lot of on-site management works are involved in the process of cluste...

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