A recurrent neural network solving the approximate nonnegative matrix factorization (NMF) problem is presented in this paper. The proposed network is based on the Lagrangian approach, and exploits a partial dual
En route to our new data structure design, we establish an interesting connection between succinct data structures and approximate nonnegative tensor decomposition. Our connection shows that for specific problems, to construct a space-efficient data structure, it suffices to approximate a particular ...
dense— A nonnegative scalar value that indicates what is considered to be dense. If A is n-by-n, then rows and columns with more thanmax(16,(dense*sqrt(n)))entries inA + A'are considered to be "dense" and are ignored during the ordering. MATLAB®software places these rows and co...
We say that a matrix B is nonnegative, denoted B⩾O, if all its entries are nonnegative. A nonsingular matrix A∈Rn×n is called M-matrix if all its off-diagonal entries are nonpositive and A−1⩾O. The splitting A=M−N is regular or weakly regular if M−1⩾O and N...
a.add_item(i, v) adds item i (any nonnegative integer) with vector v. Note that it will allocate memory for max(i)+1 items. a.build(n_trees, n_jobs=-1) builds a forest of n_trees trees. More trees gives higher precision when querying. After calling build, no more items can ...
dense— A nonnegative scalar value that indicates what is considered to be dense. If A is n-by-n, then rows and columns with more thanmax(16,(dense*sqrt(n)))entries inA + A'are considered to be "dense" and are ignored during the ordering. MATLAB®software places these rows and co...
Two-step nonnegative matrix factorization algorithm for the approximate realization of hidden Markov models We propose a two-step algorithm for the construction of a Hidden Markov Model (HMM) of assigned size, i.e. cardinality of the state space of the underlying Markov chain, whose n-dimensional...
a.add_item(i, v)adds itemi(any nonnegative integer) with vectorv. Note that it will allocate memory formax(i)+1items. a.build(n_trees)builds a forest ofn_treestrees. More trees gives higher precision when querying. After callingbuild, no more items can be added. ...
By subtracting the largest eigenvalue Emax, we shift the spectrum to be nonpositive and the ratio r is thus nonnegative with 0 ≤ r ≤ 1. In computer science, a ρ-approximation algorithm is a polynomial-time algorithm which returns for all possible instances of an optimization problem, a ...
Spreij, "Approximate nonnegative matrix factorization via alter- nating minimization," arXiv preprint math/0402229, 2004.Finesso (L.) and Spreij (P.). - Approximate nonnegative matrix factorization via alternating minimization, Proceedings of the 16th MTNS Internat. Symposium, Leuven (Belgium), ...