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This paper addresses the problem of adaptive state and parameter estimation of open loop unstable plants using a multiple model structure. A state estimate is obtained as a probabilistically weighted sum of the estimates produced by a bank of individual observers. Model identification and convergence of the dynamic weights in the Multiple Model Adaptive Estimation (MMAE) for open-loop unstable plants...
We study a model of information aggregation and social learning recently proposed by Jadbabaie, Sandroni, and Tahbaz-Salehi, in which individual agents try to learn a correct state of the world by iteratively updating their beliefs using private observations and beliefs of their neighbors. No individual agent's private signal might be informative enough to reveal the unknown state. As a result, agents...
Let Mq(n) denote the number of multiplications required to compute the coefficients of the product of two polynomials of degree n over a q-element field by means of bilinear algorithms. It is shown that Mq(n) ≥ 3n - o(n). In particular, if q/2 ≪ n ≤ q + 1, we establish the tight bound Mq(n) = 3n + 1 - ⌊q/2⌋. The technique we use can be applied to analysis of algorithms for multiplication of polynomials...
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