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The increased availability of sensors disseminated in the world has led to the possibility to monitor in detail the evolution of several real-world objects of interest. GPS receivers, RFIDchips, trans...
In “Optimized slowdown in real-time task systems”, Jejurikar and Gupta investigated energy savings due to optimal slowdown of periodic tasks in real-time task systems, where tasks have varying power c...
This chapter concerns the use of convex optimization in real-time embedded systems, in areas such as signal processing, automatic control, real-time estimation, real-time resource allocation and decis...
Real-Time Convex Optimization in Signal Processing     Real-Time Convex Optimization  Signal Processing       font style='font-size:12px;'> 2015/7/9
Convex optimization has been used in signal processing for a long time, to choose coefficients for use in fast (linear) algorithms, such as in filter or array design; more recently, it has been used t...
In this paper we propose a method to optimize operation of a thermal energy storage (TES) system for heating, ventilation and air conditioning (HVAC) in terms of electricity cost. We pose this optimiz...
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 Real Algebraic Geometry     Geometry  structure  geometry  statistics       font style='font-size:12px;'> 2014/12/29
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 ...
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       font style='font-size:12px;'> 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...
Real k-Flats Tangent to Quadrants in R^n     Dimensions  secondary research  conic  real space       font style='font-size:12px;'> 2014/12/29
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...
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       font style='font-size:12px;'> 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...
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-...
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. ...
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 ...

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