We present a GUT-model-independent calculation of hadron matrix elements for all dimension-six operators associated with baryon number violating processes using lattice QCD. Our results cover all the matrix elements required to estimate the partial lifetimes of (proton,neutron)→(π, K, η) +(ν̄, e, μ) decay modes. We point out the necessity of disentangling two form factors that contribute to the ...

In this paper we discus a wide class of loss (cost) functions for non-negative matrix factorization (NMF) and derive several novel algorithms with improved efficiency and robustness to noise and outliers. We review several approaches which allow us to obtain generalized forms of multiplicative NMF algorithms and unify some existing algorithms. We give also the flexible and relaxed form of the N...

Blind Source Separation (BSS) is a model free source separation technique which decomposes observed mixture data into mixing matrix and source matrix both of which are unknown beforehand. One well known BSS algorithm is joint diagonalization which is from the algebraic class and in which mixing structures are recovered by jointly diagonalizing the source condition matrix. In this study we first...

In this paper, we propose a robust motion segmentation method based on the matrix factorization and subspace separation. We, first, mathematically prove that the shape interaction matrix can be derived using QR decomposition rather than Singular Value Decomposition(SVD). Using shape interaction matrix, we solve the motion segmentation problem using spectral graph clustering technique. We exploi...

Initializing an unmixing matrix is an important problem in source separation since an objective function to be optimized is typically non-convex. In this paper, we consider the problem of two-source signal separation from a two-microphone array located on a mobile device, where a point source such as a speech signal is placed in front of the array, while no information is available about anothe...

The problem of separation of independent source signals from their instantaneous mixtures, is addressed by using two diierent approaches: (1) information-theoretic approach; (2) higher-order cross-cumulants approach. Natural gradient 4] is known as eecient and fast convergent for on-line learning. First, we present further results on natural gradient-based source separation algorithms. Second, ...