Reproducing Kernel Hilbert Space vs. Frame Estimates
Mathematics, 2015 We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Myung-Sin Song +2 more
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Sparse phenotyping for wheat grain yield enabled by multiomics prediction. [PDF]
Plant GenomeAbstract Grain yield is a central target in wheat breeding, yet accurately predicting it remains challenging because it depends on many genes and responds strongly to environmental variation. Genomic selection (GS) has improved breeding efficiency by enabling genome‐based prediction of genetic merit, but predictability (PA) for grain yield is often ...
Gerard G +8 more
europepmc +2 more sources
Genomic prediction in quinoa across contrasting environments using statistical and machine learning models. [PDF]
Plant GenomeAbstract Quinoa (Chenopodium quinoa Willd.) is gaining global importance for its nutritional value and adaptability; however, breeding progress remains limited. Genomic selection (GS), combined with rapid generation cycles, offers a strategy to accelerate genetic improvement.
Stanschewski CS +8 more
europepmc +2 more sources
Data-Driven Optimization: A Reproducing Kernel Hilbert Space Approach
Operations Research, 2022 Data-Driven Optimization Using Reproducing Kernel Hilbert Spaces
Bertsimas, Dimitris, Koduri, Nihal
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Multimodality, interaction modeling, and multimodule architectures in genomic prediction: A unified conceptual framework. [PDF]
Plant GenomeAbstract The rapid expansion of genomic, environmental, phenomic, and other high‐dimensional data sources has transformed genomic prediction in plant breeding. However, the terms multimodal, interaction modeling, and multimodule architecture are often used inconsistently, generating ambiguity regarding whether they refer to biological assumptions, data
Crossa J +7 more
europepmc +2 more sources
Operator inequalities in reproducing kernel Hilbert spaces
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 Summary: In this paper, by using some classical Mulholland type inequality, Berezin symbols and reproducing kernel technique, we prove the power inequalities for the Berezin number \(\operatorname{ber}(A)\) for some self-adjoint operators \(A\) on \({H}(\Omega)\).
Yamancı, Ulaş
openaire +6 more sources
A Theorem on Reproducing Kernel Hilbert Spaces of Pairs [PDF]
Rocky Mountain Journal of Mathematics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel, Daniel Alpay
openaire +5 more sources
Optimal Penalized Function-on-Function Regression under a Reproducing Kernel Hilbert Space Framework. [PDF]
J Am Stat Assoc, 2018 Sun X, Du P, Wang X, Ma P.
europepmc +2 more sources
Reproducing Kernel Hilbert Space for Some Non-Gaussian Processes [PDF]
, 1984 Reproducing Kernel Hilbert Space for Some Non-Gaussian ...
Taqqu, M., Czado, C.
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A Reproducing Kernel Hilbert Space approach to singular local stochastic volatility McKean-Vlasov models [PDF]
, 2022 Motivated by the challenges related to the calibration of financial models, we consider the problem of numerically solving a singular McKean-Vlasov equation $$ d X_t= \sigma(t,X_t) X_t \frac{\sqrt v_t}{\sqrt {E[v_t|X_t]}}dW_t, $$ where $W$ is a Brownian ...
Bayer, Christian +4 more
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