Results 131 to 140 of about 1,681 (245)
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
On Gray Images of Cyclic and Self-Orthogonal Codes over Fq+uFq+vFq. [PDF]
Saif SH, Alhomaidhi AA.
europepmc +1 more source
Finite‐Block Polynomial and Volterra Structure in Reservoir Computing
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley +1 more source
Music score copyright protection based on mixed low-order quaternion Franklin moments. [PDF]
Huang Q, Zhu J, Xian Y, Peng J.
europepmc +1 more source
Bidiagonal Decompositions and High‐Accuracy Computations for Newton Collocation Matrices
ABSTRACT We consider a class of collocation matrices A$$ A $$ associated with the Newton basis of the space of polynomials of degree at most n$$ n $$, evaluated at a set of l+1≥n+1$$ l+1\ge n+1 $$ nodes. In the most general setting, we allow n$$ n $$ of these nodes to either coincide with or differ from those defining the Newton basis.
E. Mainar, A. Marco, B. Rubio, R. Viaña
wiley +1 more source
Quadratic Subproduct Systems, Free Products, and Their C*-Algebras. [PDF]
Arici F, Ge Y.
europepmc +1 more source
Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley +1 more source
Full-cycle prediction of crack healing in self-healing concrete using generalized polynomial chaos expansion. [PDF]
Fu C +6 more
europepmc +1 more source
ABSTRACT We derive eigenvalue bounds for symmetric block‐tridiagonal multiple saddle‐point systems preconditioned with block‐diagonal Schur complement matrices. This analysis applies to an arbitrary number of blocks and accounts for the case where the Schur complements are approximated, generalizing the findings in [11, Bergamaschi et al., Linear ...
Marco Pilotto +2 more
wiley +1 more source
Accelerated Multisecret Sharing Scheme Using Fast Matrix Spectral Factorization. [PDF]
Çalkavur S, Solé P, Ephremidze L.
europepmc +1 more source

