In this paper, we define the concept of uncertain multiplicative linguistic preference relation, and introduce some operational laws of uncertain multiplicative linguistic variables. We propose some new aggregation operators including the uncertain linguistic geometric mean (ULGM) operator, uncertain linguistic weighted geometric mean (ULWGM) operator, uncertain linguistic ordered weighted geom...

Mahler’s measure is generalized to create the class of multiplicative distance functions. These functions measure the complexity of polynomials based on the location of their zeros in the complex plane. Several examples of multiplicative distance functions are given including those formed from equilibrium potentials of compact connected subsets of C. To each multiplicative distance function we ...

In this work we propose a multi-start heuristic which aims at minimizing the multiplicative depth of boolean circuits. The multiplicative depth objective is encountered in the field of homomorphic encryption where ciphertext size depends on the number of consecutive multiplications. The heuristic is based on rewrite operators for multiplicative depth-2 paths. Even if the proposed rewrite operat...

Synthetic Aperture Radar (SAR) is an active imaging system widely used in remote sensing applications. SAR systems are characterized by their high image resolution and all-weather operating ability, but suffer from the notorious speckle noise [1], which is a random multiplicative phenomenon that results from coherent imaging. In this paper we propose several heuristic methods for the estimation...

In this paper we consider the problem of minimizing a quadratic functional for a discretetime linear stochastic system with multiplicative noise, on a standard probability space, in infinite time horizon. We show that the necessary and sufficient conditions for the existence of the optimal control can be formulated as matrix inequalities in frequency domain. Furthermore, we show that if the opt...

We obtain a condition for the Lq-convergence of martingales generated by random multiplicative cascade measures for q > 1 without any self-similarity requirements on the cascades.

We analyze the effects of extrinsic multiplicative noise on front propagation in a scalar neural field with excitatory connections. Using a separation of time scales, we represent the fluctuating front in terms of a diffusive-like displacement (wandering) of the front from its uniformly translating position at long time scales, and fluctuations in the front profile around its instantaneous posi...

We study the dynamics of the two-point statistics of the Kraichnan ensemble which describes the transport of a passive pollutant by a stochastic turbulent flow characterized by scale invariant structure functions. The fundamental equation of this problem consists in the Fokker-Planck equation for the two-point correlation function of the density of particles performing spatially correlated Brow...

This paper deals with the problem of identifying the nature of noise and estimating its standard deviation from the observed image in order to be able to apply the most appropriate processing or analysis algorithm afterwards. In this study, we focus our attention on three classes of degraded noise images, the rst one being degraded by an additive noise, the second one by a multiplicative noise ...

This paper deals with the estimation of the state variable of continuous-discrete linear state space models with multiplicative noise. Speci1cally, the optimal minimum variance linear 1lter for that class of models is constructed. Moreover, the solutions of the di2erential equations that describe the evolution of the two 1rst conditional moments between observations are obtained and an algorith...