The minimum sum-of-squared error clustering problem is shown to be a concave continuous optimization problem whose every local minimum solution must be integer. We characterize its local minima. A procedure of moving from a fractional solution to a better integer solution is given. Then we adapt Tuy’s convexity cut method to find a global optimum of the minimum sum-of-squared error clustering p...

One of the main tasks of engineers is to design structural systems light and economic as possible, yet resistant enough to withstand all possible loads arising during their service life and to absorb the induced seismic energy in a controlled and predictable fashion. The traditional trial-and-error design approach is not capable to determine an economical design satisfying also the code require...

A novel iterative quantization procedure for the design of finite wordlength linear phase FIR filters of high order and minimum frequency domain error is proposed: a one by one increased number of filter coefficients is quantized where the augmented frequency domain error is re-minimized in each case. This new approach achieves a smaller frequency domain error than rounding of the optimal non-q...

A method is presented for incorporating error correction using a minimum distance measure into LR parsers. The method is suitable for use by an automatic parser-generator. State information in the LR parser stack at the point of detection of error is used to generate a set of strings which are potential repairs to the input. A string with least minimum distance from the actual input is chosen a...

The pairwise-error probability upper bounds of space–time codes (STCs) in independent Rician fading channels are derived in this letter. Based on the performance analysis, novel code design criteria for slow and fast Rayleigh fading channels are developed. It is found that in fading channels, STC design criterion depends on the value of the possible diversity gain of the system. In slow fading ...

generaly pressure vessels should withstand internal and external pressures in the form of static or periodic stresses. if the application of such a vessel requires the lowest possible weight, the fracture mechanics approach may be considened in design procedure in order to obtain the minimum wall thickness. in this work the thickness of the vessel wall was determined using k values and smallest...

Thresholding is a popular tool for segmenting grey level images. The approach is based on the assumption that object and background pixels in the image can be distinguished by their grey level values. By judiciously choosing a grey level threshold between the dominant values of object and background intensities the original grey level image can be transformed into a binary form so that the imag...

Clustering is the problem of identifying the distribution of patterns and intrinsic correlations in large data sets by partitioning the data points into similarity classes. In this paper, we study on the problem of clustering categorical data, where data objects are made up of non-numerical attributes. We propose MECC (Minimum Error Classification Clustering), an alternative technique for categ...