Results 91 to 100 of about 11,485 (217)
What can we Learn from Quantum Convolutional Neural Networks?
Quantum Convolutional Neural Networks have been long touted as one of the premium architectures for quantum machine learning (QML). But what exactly makes them so successful for tasks involving quantum data? This study unlocks some of these mysteries; particularly highlighting how quantum data embedding provides a basis for superior performance in ...
Chukwudubem Umeano+3 more
wiley +1 more source
On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
doaj +1 more source
Skew-symmetric and essentially unitary operators via Berezin symbols
We characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols.
Altwaijry Najla+3 more
doaj +1 more source
Improving the Convergence of Markov Chains via Permutations and Projections
ABSTRACT This paper aims at improving the convergence to equilibrium of finite ergodic Markov chains via permutations and projections. First, we prove that a specific mixture of permuted Markov chains arises naturally as a projection under the KL divergence or the squared‐Frobenius norm.
Michael C. H. Choi+2 more
wiley +1 more source
ABSTRACT Recent advances in sequencing technologies have allowed the collection of massive genome‐wide information that substantially enhances the diagnosis and prognosis of head and neck cancer. Identifying predictive markers for survival time is crucial for devising prognostic systems and learning the underlying molecular drivers of the cancer course.
Atika Farzana Urmi+2 more
wiley +1 more source
An Example of a Reproducing Kernel Hilbert Space [PDF]
We formulate and prove a generalization of the isoperimetric inequality in the plane. Using this inequality we construct an unitary space—and in consequence—an isomorphic copy of a separable infinite dimensional Hilbert (Sobolev) space, which turns out also a reproducing kernel Hilbert space.
openaire +2 more sources
A representation for a weighted L2 space [PDF]
Using elementary tools of complex analysis and Hilbert space theory, we present a realization of a weighted L2 space on the unit disc. In the way, we show some additional properties.
Martha Guzman-Partida +1 more
doaj
Abstract Planetary flows are shaped by interactions at scales much smaller than the flows themselves, with mesoscale and sub–mesoscale eddies playing key roles in mixing, particle transport and tracer dispersion. To capture these effects, we introduce a stochastic formulation of the primitive equations within the Location Uncertainty (LU) framework ...
Francesco L. Tucciarone+3 more
wiley +1 more source
Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations
On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented.
Reza Mokhtari+2 more
doaj +1 more source
Microwave Sensing and Imaging Technology in Food Applications: A Comprehensive Review
ABSTRACT Microwave sensing (MWS) and imaging (MWI) technologies have gained significant attention as non‐destructive methods for assessing food quality, ensuring safety, and verifying authenticity. This review provides a comprehensive evaluation of MW‐based systems in food applications, integrating both theoretical foundations and practical ...
Aysenur Betul Bilgin, Pervin Basaran
wiley +1 more source