This work studies linear transmit filter design to maximize weighted sum-rate for the Multiple Input Multiple Output Broadcast Channel (MIMO-BC). In a recent result, it was shown that the derivative of mutual-information is equal to the Minimum Mean Square Error (MMSE) for the single-user case. This paper derives a relation between weighted sum-rate and weighted sum-MMSE for the MIMO-BC by exte...

A (p, q) graph G is said to be square sum, if there exists a bijection f : V (G) → {0, 1, 2, . . . , p − 1} such that the induced function f∗ : E(G)→ N defined by f∗(uv) = (f(u))2 + (f(v))2, for every uv ∈ E(G) is injective. In this paper we establish that if G is a square sum graph then G∪Pm is square sum, (Km,n) is square sum if and only if m+n ≤ 5 and W 2 n is square sum if and only if n ≤ 5...

We immediately notice the similarity between the empirical risk we had seen before and the negative loglikelihood. We will see that we can regard maximum likelihood estimation as our familiar minimal empirical risk when the loss function is chosen appropriately. In the meantime note that minimizing (1) yields our familiar square-error loss if Wi’s are Gaussian. If the Wi’s are Laplacian (pW (w)...

In this paper, recurrent neural network is used for path planning in the joint space of the robot with obstacle in the workspace of the robot. To design the neural network, first a performance index has been defined as sum of square of error tracking of final executor. Then, obstacle avoidance scheme is presented based on its space coordinate and its minimum distance between the obstacle and ea...

background: in the case of sensitive questions such as number of alcoholics known, majority of respondents might give an answer of zero. poisson regression model (p) is the standard tool to analyze count data. however, p provides poor fit in the case of zero inflated counts, when over-dispersion exists. therefore, the questions to be addressed are to compare performance of alternative count reg...

Trend forecasting and proper understanding of the future changes is necessary for planning in health-care area.One of the problems of analytic methods is determination of the number and location of the breakpoints, especially for fluctuation data. In this area, few researches are published when number and location of the nodes are not specified.In this paper, a clustering-based method is develo...

this paper presents a gain scheduled autopilot for pitch channel of a flying vehicle. the selected method is based on polynomial fuzzy systems. the method does not involve linearization about operating point. first the polynomial fuzzy model of pitch channel of the flight body is derived. next, using polynomial fuzzy system methodology the controller is design such that the outputs of the nonli...