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Complementary Design Theory for Uniform Designs
Complementary design discrepancy uniformity
2016/1/25
Uniform design is to seek its design points to be uniformly scattered on the experimental domain under some discrepancy measure. In this paper all the design points of a full factorial design can be s...
One Sketch For All:Theory and Application of Conditional Random Sampling
One Sketch For All Theory and Application Conditional Random Sampling
2015/8/21
Conditional Random Sampling (CRS) was originally proposed for efficiently computing pairwise (l2, l1) distances, in static, large-scale, and sparse data. This study modifies the original CRS and exten...
Some thoughts on Le Cam's statistical decision theory
likelihood ratios randomized estimators Skorohod-Dudley almost-sure representation Le Cam's statistical decision theory
2011/9/15
Abstract: The paper contains some musings about the abstractions introduced by Lucien Le Cam into the asymptotic theory of statistical inference and decision theory. A short, self-contained proof of a...
Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts.Firstly as field theories on noncommutat...
On the scattering theory of the classical hyperbolic C(n) Sutherland model
Mathematical Physics (math-ph) High Energy Physics - Theory (hep-th) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/11
In this paper we study the scattering theory of the classical hyperbolic Sutherland model associated with the C(n) root system. We prove that for any values of the coupling constants the scattering ma...
On the inconsistency of the Camassa-Holm model with the shallow water theory
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph) Fluid Dynamics (physics.flu-dyn)
2010/11/10
In our paper we show that the Camassa-Holm equation does not represent a long wave asymptotic due to a major inconsistency with the theory of shallow water waves. We state that any solution of the Cam...
We present the elements of a new approach to the foundations of quantum theory and information theory which is based on the algebraic approach to integration, information geometry, and maximum relativ...
Oka theory has its roots in the classical Oka principle in complex analysis.It has emerged as a subfield of complex geometry in its own right since the appearance of a seminal paper of M. Gromov in 19...
Dynamic interactions in terms of senders, hubs, and receivers (SHR) using the singular value decomposition of time series: Theory and brain connectivity applications
Dynamic interactions senders hubs receivers singular value decomposition of time series: Theory and brain connectivity applications
2010/12/15
Understanding of normal and pathological brain function requires the identification and localization of functional connections between specialized regions. The availability of high time resolution sig...