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621
A Complex Artificial Immune System and Its Immunity
, 2008
"... This paper proposes a new complex artificial immune system based on biological immune system. The complex data representation and complex expressions of weights are introduced into the traditional artificial immune system, in which binary or real value data representation was used. The proposed comp ..."
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complex artificial immune system imitates the immune response mechanism closely and incorporates the complex partial autocorrelation coefficients of input antigen as the antigen presentation. Simulations of pattern recognition illustrate that the proposed complex artificial immune system has not only
AR AND MA REPRESENTATION OF PARTIAL AUTOCORRELATION FUNCTIONS, WITH APPLICATIONS
, 2007
"... Abstract. We prove a representation of the partial autocorrelation function (PACF), or the Verblunsky coefficients, of a stationary process in terms of the AR and MA coefficients. We apply it to show the asymptotic behaviour of the PACF. We also propose a new definition of short and long memory in t ..."
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Cited by 4 (1 self)
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Abstract. We prove a representation of the partial autocorrelation function (PACF), or the Verblunsky coefficients, of a stationary process in terms of the AR and MA coefficients. We apply it to show the asymptotic behaviour of the PACF. We also propose a new definition of short and long memory
OFDM with Reduced PeaktoAverage Power Ratio by Multiple Signal Representation
, 1997
"... In this paper two highly effective, flexible and distortionless peak power reduction schemes for Orthogonal Frequency Division Multiplexing (OFDM) with low amount of additional complexity and almost vanishing redundancy are presented. The schemes work with arbitrary numbers of subcarriers and signal ..."
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Cited by 182 (10 self)
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and signal sets. The first approach generates a set of several alternative multicarrier signals and selects that transmit signal with the lowest peak power value. The second method optimally combines partial transmit sequences to minimize the peaktoaverage power ratio (PARcoefficient) . The schemes
Probabilistic Techniques for Approximating Spectral and Autocorrelation Coefficients
, 1999
"... In this paper we provide polynomial time approximation techniques which allow us to calculate, to arbitrary levels of accuracy and with high probability of success, the spectral coefficients and autocorrelation coefficients of Boolean functions, given that those functions are expressed in either Sum ..."
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In this paper we provide polynomial time approximation techniques which allow us to calculate, to arbitrary levels of accuracy and with high probability of success, the spectral coefficients and autocorrelation coefficients of Boolean functions, given that those functions are expressed in either
AR AND MA REPRESENTATION OF PARTIAL AUTOCORRELATION FUNCTIONS, WITH APPLICATIONS
, 2007
"... Abstract. We prove a representation of the partial autocorrelation function (PACF), or the Verblunsky coefficients, of a stationary process in terms of the AR and MA coefficients. We apply it to show the asymptotic behaviour of the PACF. We also propose a new definition of short and long memory in t ..."
Abstract
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Abstract. We prove a representation of the partial autocorrelation function (PACF), or the Verblunsky coefficients, of a stationary process in terms of the AR and MA coefficients. We apply it to show the asymptotic behaviour of the PACF. We also propose a new definition of short and long memory
Alternative Tests for Time Series Dependence Based on Autocorrelation Coefficients
, 1998
"... : When autocorrelation is small, existing statistical techniques may not be powerful enough to reject the hypothesis that a series is free of autocorrelation. We propose two new and simple statistical tests (RHO and PHI) based on the unweighted sum of autocorrelation and partial autocorrelation c ..."
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Cited by 1 (0 self)
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: When autocorrelation is small, existing statistical techniques may not be powerful enough to reject the hypothesis that a series is free of autocorrelation. We propose two new and simple statistical tests (RHO and PHI) based on the unweighted sum of autocorrelation and partial autocorrelation
THE COMPLEXITY OF POLYNOMIALS AND THEIR COEFFICIENT FUNCTIONS
"... Abstract. We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of Valiant’s observations, showing that the class VNP is stable for coefficients functions, and that this is true of ..."
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Cited by 9 (2 self)
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Abstract. We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of Valiant’s observations, showing that the class VNP is stable for coefficients functions, and that this is true
Autocorrelation and flatness of height one polynomials
, 2005
"... This thesis is concerned with two classes of polynomials whose height (meaning the largest absolute value of a coefficient) is 1: Littlewood polynomials, whose coefficients are +1 or −1, and zeroone polynomials, whose coefficients are 0 or 1. We are interested in the behaviour of these polynomials ..."
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on the unit circle in the complex plane. Roughly speaking, there is a tendency for a polynomial to be ‘flat ’ on the unit circle if its autocorrelations are ‘near zero’, where the ‘autocorrelations’ can be regarded as dot products that measure the ‘periodicity’ of the coefficient sequence of the polynomial
Diffusiontype models with given marginals and autocorrelation function
 Bernoulli
, 2005
"... Flexible stationary diffusiontype models are developed that can fit both the marginal distribution and the correlation structure found in many time series from e.g. finance and turbulence. Diffusion models with linear drift and a known and prespecified marginal distribution are studied, and the dif ..."
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Cited by 24 (5 self)
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, and the diffusion coefficients corresponding a large number of common probability distributions are found explicitly. An approximation to the diffusion coefficient based on saddlepoint approximation techniques is developed for use in cases where there is no explicit expression for the diffusion coefficient
Bayesian modeling of the dependence in longitudinal data via partial autocorrelations and marginal variances
"... Many parameters and positivedefiniteness are two major obstacles in estimating and modelling a correlation matrix for longitudinal data. In addition, when longitudinal data is incomplete, incorrectly modelling the correlation matrix often results in bias in estimating mean regression parameters. In ..."
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Cited by 2 (0 self)
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. In this paper, we introduce a flexible class of regression models for a covariance matrix parameterized using marginal variances and partial autocorrelations. The partial autocorrelations can freely vary in the interval (−1,1) while maintaining positive definiteness of the correlation matrix so the regression
Results 1  10
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621