Results 1 to 10 of about 12,772,525 (351)

Weighted classifier ensemble based on quadratic form

open access: yesPattern Recognition, 2015
Diversity and accuracy are the two key factors that decide the ensemble generalization error. Constructing a good ensemble method by balancing these two factors is difficult, because increasing diversity is at the cost of reducing accuracy normally.
Shasha Mao, Licheng Jiao, Lin Xiong
exaly   +3 more sources

Evaluating the Contributions of Individual Variables to a Quadratic Form. [PDF]

open access: yesAust N Z J Stat, 2016
Quadratic forms capture multivariate information in a single number, making them useful, for example, in hypothesis testing. When a quadratic form is large and hence interesting, it might be informative to partition the quadratic form into contributions ...
Garthwaite PH, Koch I.
europepmc   +2 more sources

Kaplansky's ternary quadratic form [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
This paper proves that if N is a nonnegative eligible integer, coprime to 7, which is not of the form x2+y2+7z2, then N is square-free. The proof is modelled on that of a similar theorem by Ono and Soundararajan, in which relations between the number of ...
James Kelley
doaj   +2 more sources

Real Quadratic-Form-Based Graph Pooling for Graph Neural Networks

open access: yesMachine Learning and Knowledge Extraction, 2022
Graph neural networks (GNNs) have developed rapidly in recent years because they can work over non-Euclidean data and possess promising prediction power in many real-word applications.
Youfa Liu, Guo Chen
doaj   +2 more sources

Quadratic Form Expansions for Unitaries [PDF]

open access: yesTheory of Quantum Computation, Communication, and Cryptography, 2008
We introduce techniques to analyze unitary operations in terms of quadratic form expansions, a form similar to a sum over paths in the computational basis where the phase contributed by each path is described by a quadratic form over ℝ.
Roetteler, Martin   +7 more
core   +2 more sources

Can we recover an integral quadratic form by representing all its subforms? [PDF]

open access: yesAdvances in Mathematics, 2022
Let $\mathfrak o$ be the ring of integers of a totally real number field. If $f$ is a quadratic form over $\mathfrak o$ and $g$ is another quadratic form over $\mathfrak o$ which represents all proper subforms of $f$, does $g$ represent $f$? We show that
W. Chan, Byeong-Kweon Oh
semanticscholar   +1 more source

Fast Stabiliser Simulation with Quadratic Form Expansions [PDF]

open access: yesQuantum, 2022
This paper builds on the idea of simulating stabiliser circuits through transformations of {quadratic form expansions}. This is a representation of a quantum state which specifies a formula for the expansion in the standard basis, describing real and ...
Niel de Beaudrap, Steven Herbert
doaj   +1 more source

The birational composition of arbitrary quadratic form with binary quadratic form

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2022
Let f(X) and g(Y) be nondegenerate quadratic forms of dimensions m and n respectively over a field K, charK ≠ 2. Herein, the problem of the birational composition of f(X) and g(Y) is considered, namely, the condition is established when the product f(X)g(
Alexandr A. Bondarenko
doaj   +1 more source

Estimating the Quadratic Form xTA−mx for Symmetric Matrices: Further Progress and Numerical Computations

open access: yesMathematics, 2021
In this paper, we study estimates for quadratic forms of the type xTA−mx, m∈N, for symmetric matrices. We derive a general approach for estimating this type of quadratic form and we present some upper bounds for the corresponding absolute error ...
Marilena Mitrouli   +3 more
doaj   +1 more source

Operator inference for non-intrusive model reduction with quadratic manifolds [PDF]

open access: yesComputer Methods in Applied Mechanics and Engineering, 2022
This paper proposes a novel approach for learning a data-driven quadratic manifold from high-dimensional data, then employing this quadratic manifold to derive efficient physics-based reduced-order models.
R. Geelen, S. Wright, K. Willcox
semanticscholar   +1 more source

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