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The conditional in conditional Kolmogorov complexity commonly is taken to be a finite binary string. The Coding Theorem of L.A. Levin connects unconditional prefix Kolmogorov complexity with the discr...
We present a square root limit on low probability of detection (LPD) communication over additive white Gaussian noise (AWGN) channels. Specifically, if a warden has an AWGN channel to the transmitter ...
Distributed consensus and other linear systems with system stochastic matrices $W_k$ emerge in various settings, like opinion formation in social networks, rendezvous of robots, and distributed infere...
Abstract: We reminisce and discuss applications of Algorithmic Probability Theory to a wide range of problems in Artificial Intelligence, philosophy and technological society. We argue that Solomonoff...
In this paper, we consider a dynamic inventory system with varying stochastic demands under the probability criterion which is to minimize the sum of all probabilities that the inventory at the end of...
In this paper, we develop a new probability criterion which is to minimize the sum of all probabilities that the inventory at the end of each stage exceeds a fixed level. It is shown that the optimal ...

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