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There has been much progress on efficient algorithms for clustering data points generated by a mixture of k probability distributions under the assumption that the means of the distributions are well-separated, i.e., the distance between the means of any two distributions is at least Ω(k) standard deviations. These results generally make heavy use of the generative model and particular properties...
We consider a constrained energy optimization called minimum energy scheduling problem (MESP) for a wireless network of N users transmitting over M time slots, where the constraints arise because of interference between wireless nodes that limits their transmission rates along with load and duty-cycle (on-off) restrictions. Since traditional optimization methods using Lagrange multipliers do not work...
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an initial bundle. At an ldquoequilibriumrdquo set of prices for goods, if each individual buyer separately ex-changes the initial bundle for an optimal bundle at the set prices, the market clears, i.e., all goods are exactly consumed...
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