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Some Real and Unreal Enumerative Geometry for Flag Manifolds
Build geometric shape numerical homotopy continuation algorithm
2014/12/29
We present a general method for constructing real solutions to some problems in enumerative geometry which gives lower bounds on the maximum number of real solutions. We apply this method to show that...
Enumerative Geometry is concerned with the number of solutions to a structured system of polynomial equations, when the structure comes from geometry. Enumerative real algebraic geometry studies real ...
Toric Ideals, Real Toric Varieties, and the Algebraic Moment Map
Geometric modeling projective after surface after surface linear projection
2014/12/29
This is a tutorial on some aspects of toric varieties related to their potential use in geometric modeling. We discuss projective toric varieties and their ideals, as well as real toric varieties. In ...
Maximally Inflected Real Rational Curves
Topology research plane curve schubert calculus curve the curve
2014/12/29
We introduce and begin the topological study of real rational plane curves, all of whose inflection points are real. The existence of such curves is a corollary of results in the real Schubert calculu...
Let dk,n and #k,n denote the dimension and the degree of the Grassmannian Gk,n, respectively. For each 1 ≤ k ≤ n−2 there are 2dk,n ·#k,n (a priori complex) k-planes in Pn tangent to dk,n general...
PERFECT FORMS OVER TOTALLY REAL NUMBER FIELDS
Quadratic minimum non-zero value integral vector the change of variables
2014/12/24
A rational positive-definite quadratic form is perfect if it can be reconstructed from the knowledge of its minimal nonzero value m and the finite set of integral vectors v such that f(v) = m. This co...
Real-time On/Off-Road GPS Tracking
Vehicle Tracking GPS Particle Filtering Particle Learning
2013/4/27
This document details the construction of a model for tracking a position and velocity state from GPS observations, with the intention of efficient, parallel online learning of state-dependent paramet...
Distribution of the largest eigenvalue for real Wishart and Gaussian random matrices and a simple approximation for the Tracy-Widom distribution
Random Matrix Theory characteristic roots largest eigenvalue Tracy-Widom Distribution Wishart Matrices Gaussian Orthogonal Ensemble
2012/11/23
We derive the exact distribution of the largest eigenvalue for finite dimensions real Wishart matrices and for the Gaussian Orthogonal Ensemble (GOE). We compare the exact distribution with the Tracy-...
Real-time semiparametric regression
Approximate Bayesian inference Generalized additive models Meaneld vari-ational Bayes Mixed models Online variational Bayes Penalized splines Wavelets
2012/11/22
We develop algorithms for performing semiparametric regression analysis in real time, with data processed as it is collected and made immediately available via modern telecommunications technologies. ...
Mixing Coefficients Between Discrete and Real Random Variables: Computation and Properties
Mixing Coefficients Between Discrete Real Random Variables Computation Properties
2012/9/17
In this paper we study the problem of estimating the mixing coefficients between two random vari-ables. Three different mixing coefficients are studied,namely alpha-mixing, beta-mixing and phi-mixing ...
A New Methodology for Real Estate Appraisal using GAMLSS Models
Cubic splines GAMLSS regression models hedonic prices function non-parametric smoothing semiparametric models
2011/3/21
The valuation of real estates (e.g., house, land, among others) is of extreme importance for decision making. Their singular characteristics make valuation through hedonic pricing methods dificult sin...
Relative Age Effect in Elite Sports:Methodological Bias or Real Discrimination?
Relative Age Effect Soccer Discrimination Bias
2010/3/9
Sport sciences researchers talk about a relative age effect when they observe a biased
distribution of elite athletes’ birthdates, with an over-representation of those born at the
beginning of the c...
STABILITY OF TWO FAMILIES OF REAL-TIME QUEUEING NETWORKS
Multiclass queueing networks deadlines,reneging stability fluid models fluid limits
2009/9/18
We study open multiclass queueing networks with renewal
arrival streams and general service time distributions. Upon arrival to the
network, customers from each class are assigned a random deadline...
On the Second-Order Correlation Function of the Characteristic Polynomial of a Real Symmetric Wigner Matrix
asymptotic behaviour Second-Order Correlation Function Symmetric Matrix
2009/3/20
We consider the asymptotic behaviour of the second-order correlation function of the characteristic polynomial of a real symmetric random matrix. Our main result is that the existing result for a rand...
Forecasts Based on Official Business Indices in Japan：A Real-Time Analysis
business index probit model real-time forecast
2009/3/10
This paper analyses the performance of forecasts of real economic activity based on the Japanese official business indices in a real-time framework. As in other countries, preliminary numbers of the b...