Multivariate nonnegative quadratic mappings
نویسندگان
چکیده
منابع مشابه
Multivariate Nonnegative Quadratic Mappings
In this paper we study several issues related to the characterization of specific classes of multivariate quadratic mappings that are nonnegative over a given domain, with nonnegativity defined by a pre-specified conic order. In particular, we consider the set (cone) of nonnegative quadratic mappings defined with respect to the positive semidefinite matrix cone, and study when it can be represe...
متن کاملQuadratic nonnegative matrix factorization
In Nonnegative Matrix Factorization (NMF), a nonnegative matrix is approximated by a product of lower-rank factorizing matrices. Most NMF methods assume that each factorizing matrix appears only once in the approximation, thus the approximation is linear in the factorizing matrices. We present a new class of approximative NMF methods, called Quadratic Nonnegative Matrix Factorization (QNMF), wh...
متن کاملNonnegative Decomposition of Multivariate Information
Of the various attempts to generalize information theory to multiple variables, the most widely utilized, interaction information, suffers from the problem that it is sometimes negative. Here we reconsider from first principles the general structure of the information that a set of sources provides about a given variable. We begin with a new definition of redundancy as the minimum information t...
متن کاملMultivariate Quadratic Trapdoor Functions Based on Multivariate Quadratic Quasigroups
We have designed a new class of multivariate quadratic trapdoor functions. The trapdoor functions are generated by quasigroup string transformations based on a class of quasigroups called multivariate quadratic quasigroups (MQQ). The public key schemes using these trapdoor functions are bijective mappings, they do not perform message expansions and can be used both for encryption and signatures...
متن کاملStability of Approximate Quadratic Mappings
In 1940, Ulam 1 gave a talk before the Mathematics Club of the University of Wisconsin in which he discussed a number of unsolved problems. Among these was the following question concerning the stability of homomorphisms. Let G1 be a group and let G2 be a metric group with metric ρ ·, · . Given > 0, does there exist a δ > 0 such that if f : G1 → G2 satisfies ρ f xy , f x f y < δ for all x, y ∈ ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2003
ISSN: 1556-5068
DOI: 10.2139/ssrn.545582