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For accurate a posteriori error analysis of the reduced basis method for coercive and non-coercive problems, a critical ingredient lies in the evaluation of a lower bound for the coercivity or inf-sup constant. In this short Note, we generalize and improve ...
Scattering processes in an optical microcavity are investigated for the case of silicon nanocrystals embedded in an ultra-high-Q toroid microcavity. Using a novel measurement technique based on the observable mode splitting, we demonstrate that light scatt ...
We consider multiple description coding for the Gaussian source with K descriptions under the symmetric mean squared error distortion constraints. One of the main contributions is a novel lower bound on the sum rate, derived by generalizing Ozarow’s well-k ...
Computing the partition function and the marginals of a global probability distribution are two important issues in any probabilistic inference problem. In a previous work, we presented sub-tree based upper and lower bounds on the partition function of a g ...
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In this paper we consider the class of anti-uniform Huffman codes and derive tight lower and upper hounds on the average length, entropy, and redundancy of such codes in terms of the alphabet size of the source. Also an upper bound on the entropy of AUH co ...
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We consider the fault-tolerant consensus problem in radio networks with crash-prone nodes. Specifically, we develop lower bounds and matching upper bounds for this problem in single-hop radios networks, where all nodes are located within broadcast range of ...
In this note we develop generalized Survey Propagation (SP) equations from the cavity method. We quantize the message space of the messages to develop a message passing rule. We investigate a framework of greedy algorithms for finding out satisfying assign ...
In this paper we evaluate the free energy of the dilute p-spin model at finite temperature. Franz et al gave the first step to rigourize the replica solution for the dilute p-spin model by proving that the solution given by the Parisi replica scheme is a l ...
We consider lossy compression of a binary symmetric source by means of a low-density generator-matrix code. We derive two lower bounds on the rate distortion function which are valid for any low-density generator-matrix code with a given node degree distri ...
This paper analyzes the performance of the simple thresholding algorithm for sparse signal representations. In particular, in order to be more realistic we introduce a new probabilistic signal model which assumes randomness for both the amplitude and also ...