Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Numerical and computational mathematics not elsewhere classified"'
Autor:
Hickey, Christopher Alfred
The Bias-Variance Trade-off, where restricting the size of a hypothesis class can limit the generalization error of a model, is a canonical problem in Machine Learning, and a particular issue for high-variance models like Neural Networks that do not
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d971e7b1f4aa79481424ef343505176
Autor:
Francis, Forrest
In analytic number theory, the most natural generalisations of the famous Riemann zeta function are the Dirichlet L-functions. Each Dirichlet L-function is attached to a q-periodic arithmetic function for some natural number q, known as a Dirichlet c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a948263defc2c9bcad30c8ce0ed43140
Autor:
Chen, Zhijun
This thesis presents theoretical results in two areas. The first is conditioning of random feature matrices and the second is behaviors and convergence of weighted sparse identification of nonlinear dynamics (SINDy) algorithm. The spectra of random f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6df4cf7c5a56bc24f83d88bd52c8a827
Autor:
Bollinger, Kayla
This thesis presents two nonlinear model reduction methods for systems of equations. One model utilizes a structured neural network, taking the form of a “threelayer” network with the first layer constrained to lie on the Grassmann manifold and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1244fb16d2632679b9ded9196a0b17b5
No description supplied
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6aae9323def169474a086e0e9618999d
Autor:
Patson, Noel
This topic arose from research done in Computing Special Topic 85333 and Math- ematics Special Topic 84333 [25]. An overview of quantum chaology [15, 16, 17] and structural complexity [20, 21, 22] was made with respect to how they describe global beh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5fe09a440654bea2e60a3abbc6bc4b0c
Autor:
Wu, Baolin
Modelling is an essential step towards a solution to complex system problems. Traditional mathematical methods are inadequate in describing the complex systems when the complexity increases. Fuzzy logic has provided an alternative way in dealing with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d5d6ef1c7b163d2ad658d781ca99db9
Autor:
CHEN, QI HUI
Since the outbreak of the 2007 global financial crisis, the unique yield curve assumption in interest rate modelling has been challenged due to unprecedented segmentation of curves. The interest rate modelling has then entered a new era, known as mul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8eb5425b87a87b0d676a7c3714c26c5c
Autor:
Lepilov, Mikhail
Many kernel matrices from differential equations or data science applications possess low or approximately low off-diagonal rank for certain key matrix subblocks; such matrices are referred to as rank-structured. Operations on rank-structured matrice
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a61ad3e8ae8308cba8a7c5c89e9bc4f
Autor:
Ou, Xiaofeng
In this dissertation, we study stable and efficient methods for structured matrix computations. In particular, we present stability analysis, stabilization strategies, and efficiency improvements for some major structured matrix algorithms. Structure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::670c25875b70e8d3c9951eed48b6f5b6