Codeword Distribution for Frequency Sensitive CompetitiveLearning with One Dimensional Input
نویسنده
چکیده
We study the codeword distribution for a consciense type competitive learning algorithm, Frequency Sensitive Competitive Learning (FSCL), using one dimensional input data. We prove that the asymptotic codeword density in the limit of large number of codewords is given by a power law of the form Q(x) = C P (x) , where P (x) is the input data density and depends on the algorithm and the form of the distortion measure to be minimized. The algorithm can be adjusted to minimize any L p distortion measure with p ranging in (0; 2].
منابع مشابه
Application of Homotopy Perturbation Method to One-dimensional Transient Single-phase EM Heating Model
Thermal recovery involves well-known processes such as steam injection (cyclic steam stimulation, steam drive, and steam-assisted gravity drainage), in situ combustion, and a more recent technique that consists of heating the reservoir with electrical energy. When high frequency is used for heating, it is called electromagnetic (EM) heating. The applications of EM heating for heavy-oil reservoi...
متن کاملCompeting Hidden Markov Models on the Self-Organizing Map
This paper presents an unsupervised segmentation method for feature sequences based on competitivelearning hidden Markov models. Models associated with the nodes of the Self-Organizing Map learn to become selective to the segments of temporal input sequences. Input sequences may have arbitrary lengths. Segment models emerge then on the map through an unsupervised learning process. The method wa...
متن کاملEstimation of Thermoelastic State of a Thermally Sensitive Functionally Graded Thick Hollow Cylinder: A Mathematical Model
The object of the present paper is to study temperature distribution and thermal stresses of a functionally graded thick hollow cylinder with temperature dependent material properties. All the material properties except Poisson’s ratio are assumed to be dependent on temperature. The nonlinear heat conduction with temperature dependent thermal conductivity and specific heat capacity is reduced t...
متن کاملFrequency Analysis of FG Sandwich Rectangular Plates with a Four-Parameter Power-Law Distribution
An accurate solution procedure based on the three-dimensional elasticity theory for the free vibration analysis of Functionally Graded Sandwich (FGS) plates is presented. Since no assumptions on stresses and displacements have been employed, it can be applied to the free vibration analysis of plates with arbitrary thickness. The two-constituent FGS plate consists of ceramic and metal graded thr...
متن کاملEf"cient Stochastic Source Coding and an Application to a Bayesian Network Source Model
In this paper, we introduce a new algorithm called `bits-back coding' that makes stochastic source codes ef"cient. For a given one-to-many source code, we show that this algorithm can actually be more ef"cient than the algorithm that always picks the shortest codeword. Optimal ef"ciency is achieved when codewords are chosen according to the Boltzmann distribution based on the codeword lengths. ...
متن کامل