We study pairs of reals that are mutually Martin-Löf random with respect to a common, not necessarily computable probability measure. We show that a generalized version of van Lambalgen’s Theorem holds for non-computable probability measures, too. We study, for a given real A, the independence spectrum of A, the set of all B so that there exists a probability measure μ so that μ{A,B} = 0 and (A...

1 Executive Summary We have continued with a review on the bond percolation and the introduced the coupling of the bond percolation process, then defined the critical phenomenon and the percolation probability. There is a theorem about the percolation probability is a non decreasing function and we bounded it between 1/3 and 2/3 for the two dimensional case. 2 Bond Percolation 2.1 Preliminaries...

In this paper, we have investigated the dependence of the spectral entanglement and indistinguishability of photon pairs produced by the spontaneous parametric down-conversion (SPDC) procedure on the bandwidth of spectral filters used in the detection setup. The SPDC is a three-wave mixing process which occurs in a nonlinear crystal and generates entangled photon pairs and utilizes as one of th...

It is well-established that some aspects of perception and action can be understood as probabilistic inferences over underlying probability distributions. In some situations, it would be advantageous for the nervous system to sample interpretations from a probability distribution rather than commit to a particular interpretation. In this study, we asked whether visual percepts correspond to sam...

This paper presents a novel algorithm which generates three-dimensional face point trajectories for a given speech le with or without its text. The proposed algorithm rst employs an o -line training phase. In this phase, recorded face point trajectories along with their speech data and phonetic labels are used to generate phonetic codebooks. These codebooks consist of both acoustic and visual f...

In this paper, we introduce a novel method for quantization of line spectral frequencies (LSF) converted from mth order linear prediction coefficients. In the proposed method, the interframe correlation of LSFs is exploited using matrix quantization where N consecutive frames are quantized as one m-by-N matrix. The voicing-based multi-mode operation reduces the bit rate by taking advantage of t...

A method for efficient quantization of speech spectral models is proposed. The impulse response of the model is coded in two spectral subbands of unequal width. The distortion measure used is a squared error between impulse responses. The quality obtained at 22 bits per frame is as good as that of Split Vector Quantization of Line Spectral Frequencies at 24 bits per frame.

We study the properties of two electrons with Coulomb interactions in a tight-binding model La-based cuprate superconductors. This is characterized by long-ranged hopping obtained previously advanced quantum chemistry computations. show analytically and numerically that repulsion leads to formation compact pairs propagating through whole system. The mechanism pair related emergence an effective...

Collaborative filtering is a recommendation model that evaluates and recommends items match the preferences of each user with high purchase probability. However, some are regularly purchased do not necessarily require recommendation. Thus, identifying effect one challenges when using models. The can be regarded as an intervention in causal inference by considering item intervention. individual ...

as an application of hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. we have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear backlund transformations and construction of ...