Efficient Tensor Completion Algorithms for Highly Oscillatory Operators
ABSTRACT We address the problem of recovering highly oscillatory operators, represented as nĂn$$ n\times n $$ matrices with a fixed set of observed entries. Given that these matrices can be well compressed by butterfly matrix decomposition of L=đȘ(logn) levels requiring only O(nlogn)$$ O\left(n\log n\right) $$ degrees of freedom, we propose a novel ...
Navjot Singh +3 more
wiley +1 more source
KRONECKER PRODUCT OF TENSORS AND HYPERGRAPHS: STRUCTURE AND DYNAMICS. [PDF]
Pickard J +5 more
europepmc +1 more source
Bidiagonal Decompositions and HighâAccuracy 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+1â„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
KronNet a lightweight Kronecker enhanced feed forward neural network for efficient IoT intrusion detection. [PDF]
Ullah S, Wu J, Kamal MM, Saudagar AKJ.
europepmc +1 more source
Randomized Algorithms for Streaming LowâRank 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 tensorâtrain 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
Research on Identification of Minimum Parameter Set in Robot Dynamics and Excitation Strategy. [PDF]
Wang Z, Han J, Li X, Guo B, Lu L.
europepmc +1 more source
Using Latent Representations to Link Disjoint Longitudinal Data for MixedâEffects Regression
ABSTRACT Many rare diseases offer limited established treatment options, leading patients to switch therapies when new medications emerge. To analyze the impact of such treatment switches within the low sample size limitations of rare disease trials, it is important to use all available data sources.
Clemens SchÀchter +8 more
wiley +1 more source
Joint Transmit-Receive Weight Optimization for FDA Radar to Balance Active Detection and RF Stealth. [PDF]
Guan H, Zhang S, Wang WQ.
europepmc +1 more source
Abstract Precipitation nowcasting refers to the highâresolution forecasting of rainfall and hydrometeors within 0â6Â hr according to the official definition of the World Meteorological Organization, which has relied on numerical models for decades. Recently, artificial intelligence (AI) has shown promise in addressing precipitation nowcasting.
Nan Yang +3 more
wiley +1 more source
Constructive <i>Q</i>-Matrix Identifiability via Novel Tensor Unfolding. [PDF]
Gu Y.
europepmc +1 more source

