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Showing 1 to 4 of 4 for “"Monotone property"”.
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Monotone bounds on the productivity of fixed-cycle production lines
… an N-machine line is shown to be stochastically monotone yielding monotone increasing lower bounds and monotone decreasing upper bounds which converge to the productivity of the line. These results are then extended to include lines with Markov machines. With the transition matrix in this case …
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The Limits of Recovering Planted Subgraphs
… setting of minimax rates of recovering arbitrary monotone boolean properties planted in random noise, where the statistician observes the union of a planted minimal element A ⊆ [N] of a monotone property and a random Ber(p)^⊗N vector. In this setting, we provide a variational formula inspired by …
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Correlated Sources In Distributed Networks - Data Transmission, Common Information Characterization and Inferencing
… to that of N random variables. We establish a monotone property of Wyner's common information which is in contrast to other notions of the common information, specifically Shannon's mutual information and G'{a}cs and K"{o}rner's common randomness. Later, we extend Wyner's common information to …
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On Enforcing Maximum Principles and Element-Wise Species Balance for Advective-Diffusive-Reactive Systems
This dissertation aims at developing robust numerical methodologies to solve advective-diffusive-reactive systems that provide accurate and physical solutions for a wide range of input data (e.g., Péclet and Damköhler numbers) and for complicated geometries. It is well-known that physical …