In this paper, an iterative method is proposed for finding the spectral radius of irreducible nonnegative tensor based on diagonal similar tensors. The convergent tensors and has explicit linear convergence rate generalized weakly positive Some numerical results are provided to illustrate efficiency method.

We prove that multilinear (tensor) analogues of many efficiently computable problems in numerical linear algebra are NP-hard. Our list here includes: determining the feasibility of a system of bilinear equations, deciding whether a 3-tensor possesses a given eigenvalue, singular value, or spectral norm; approximating an eigenvalue, eigenvector, singular vector, or the spectral norm; and determi...

In this paper, we present several descent methods that can be applied to nonnegative matrix factorization and we analyze a recently developed fast block coordinate method. We also give a comparison of these different methods and show that the new block coordinate method has better properties in terms of approximation error and complexity. By interpreting this method as a rank-one approximation ...

Since the eigenvalue problem of real supersymmetric tensors was proposed, there have been many results regarding numerical algorithms for computing spectral radius nonnegative tensors, among which NQZ method is most studied. However, only suitable calculating a special weakly primitive tensor, or irreducible tensor that satisfies certain conditions. In this paper, by means diagonal similarrity ...

In this paper we present a method for continuous EEG classification, where we employ nonnegative tensor factorization (NTF) to determine discriminative spectral features and use the Viterbi algorithm to continuously classify multiple mental tasks. This is an extension of our previous work on the use of nonnegative matrix factorization (NMF) for EEG classification. Numerical experiments with two...

Higher order tensor model has been seen as a potential mathematical framework to manipulate the multiple factors underlying the observations. In this paper, we propose a flexible two stage algorithm for K-mode Convolutive Nonnegative Tucker Decomposition (K-CNTD) model by an alternating least square procedure. This model can be seen as a convolutive extension of Nonnegative Tucker Decomposition...

For a nonnegative weakly irreducible tensor, its spectral radius is an eigenvalue corresponding to unique positive eigenvector up scalar, called Perron vector. But including the vector, it may have more than one radius. The projective eigenvariety associated with set of eigenvectors considered in complex space. We prove that dimension above zero, i.e. there are finitely many scalar. characteriz...

Genetic pathways usually encode molecular mechanisms that can inform targeted interventions. It is often challenging for existing machine learning approaches to jointly model genetic (higher-order features) and variants (atomic features), present clinicians interpretable models. In order build more accurate better models medicine, we introduce Pathway Augmented Nonnegative Tensor factorization ...