Categorical Aspects Of Graphs,
2021
Western University
Categorical Aspects Of Graphs, Jacob D. Ender
Undergraduate Student Research Internships Conference
In this article, we introduce a categorical characterization of directed and undirected graphs, and explore subcategories of reflexive and simple graphs. We show that there are a number of adjunctions between such subcategories, exploring varying combinations of graph types.
Hessian Formulas And Estimates For Parabolic Schrödinger Operators,
2021
Imperial College London, U.K.
Hessian Formulas And Estimates For Parabolic Schrödinger Operators, Xue-Mei Li
Journal of Stochastic Analysis
No abstract provided.
Remembering Kunita-San,
2021
Hachiman-yama 1101-5-103, Tenpaku-ku, Nagoya, 468-0074 Japan
Remembering Kunita-San, Ken-Iti Sato
Journal of Stochastic Analysis
No abstract provided.
On The Application Of Principal Component Analysis To Classification Problems,
2021
Chapman University
On The Application Of Principal Component Analysis To Classification Problems, Jianwei Zheng, Cyril Rakovski
Mathematics, Physics, and Computer Science Faculty Articles and Research
Principal Component Analysis (PCA) is a commonly used technique that uses the correlation structure of the original variables to reduce the dimensionality of the data. This reduction is achieved by considering only the first few principal components for a subsequent analysis. The usual inclusion criterion is defined by the proportion of the total variance of the principal components exceeding a predetermined threshold. We show that in certain classification problems, even extremely high inclusion threshold can negatively impact the classification accuracy. The omission of small variance principal components can severely diminish the performance of the models. We noticed this phenomenon in …
The Life And Scientific Work Of Hiroshi Kunita,
2021
Ehime University, Matsuyama, 7908577, Japan
The Life And Scientific Work Of Hiroshi Kunita, Yasushi Ishikawa
Journal of Stochastic Analysis
No abstract provided.
Memories Of Professor Hiroshi Kunita,
2021
Kyoto Sangyo University, Kyoto, 606-8555, JAPAN
Memories Of Professor Hiroshi Kunita, Ichiro Shigkeawa
Journal of Stochastic Analysis
No abstract provided.
On The Works Of Hiroshi Kunita In The Sixties,
2021
Osaka University, Toyonaka, Osaka 560-0043, Japan
On The Works Of Hiroshi Kunita In The Sixties, Masatoshi Fukushima
Journal of Stochastic Analysis
No abstract provided.
Personal Memories Of Hiroshi Kunita,
2021
University of Warwick, Coventry, CV4 7AL, England
Personal Memories Of Hiroshi Kunita, David Elworthy
Journal of Stochastic Analysis
No abstract provided.
Preface,
2021
The University of Tokyo Meguro-ku, Tokyo, 153–8914 Japan
Preface, Shigeki Aida, David Applebaum, Yasushi Ishikawa, Arturo Kohatsu-Higa, Nicolas Privault
Journal of Stochastic Analysis
No abstract provided.
Elliptic Curves And Their Practical Applications,
2021
Missouri State University
Elliptic Curves And Their Practical Applications, Henry H. Hayden Iv
MSU Graduate Theses
Finding rational points that satisfy functions known as elliptic curves induces a finitely-generated abelian group. Such functions are powerful tools that were used to solve Fermat's Last Theorem and are used in cryptography to send private keys over public systems. Elliptic curves are also useful in factoring and determining primality.
Preconditioned Nesterov’S Accelerated Gradient Descent Method And Its Applications To Nonlinear Pde,
2021
University of Tennessee, Knoxville
Preconditioned Nesterov’S Accelerated Gradient Descent Method And Its Applications To Nonlinear Pde, Jea Hyun Park
Doctoral Dissertations
We develop a theoretical foundation for the application of Nesterov’s accelerated gradient descent method (AGD) to the approximation of solutions of a wide class of partial differential equations (PDEs). This is achieved by proving the existence of an invariant set and exponential convergence rates when its preconditioned version (PAGD) is applied to minimize locally Lipschitz smooth, strongly convex objective functionals. We introduce a second-order ordinary differential equation (ODE) with a preconditioner built-in and show that PAGD is an explicit time-discretization of this ODE, which requires a natural time step restriction for energy stability. At the continuous time level, we show …
Graph-Theoretic Partitioning Of Rnas And Classification Of Pseudoknots-Ii,
2021
CUNY College of Staten Island
Graph-Theoretic Partitioning Of Rnas And Classification Of Pseudoknots-Ii, Louis Petingi
Publications and Research
Dual graphs have been applied to model RNA secondary structures with pseudoknots, or intertwined base pairs. In previous works, a linear-time algorithm was introduced to partition dual graphs into maximally connected components called blocks and determine whether each block contains a pseudoknot or not. As pseudoknots can not be contained into two different blocks, this characterization allow us to efficiently isolate smaller RNA fragments and classify them as pseudoknotted or pseudoknot-free regions, while keeping these sub-structures intact. Moreover we have extended the partitioning algorithm by classifying a pseudoknot as either recursive or non-recursive in order to continue with our research …
Computable Model Theory On Loops,
2021
Northern Michigan University
Computable Model Theory On Loops, Josiah Schmidt
All NMU Master's Theses
We give an introduction to the problem of computable algebras. Specifically, the algebras of loops and groups. We start by defining a loop and group, then give some of their properties. We then give an overview of comptability theory, and apply it to loops and groups. We conclude by showing that a finitely presented residually finite algebra has a solvable word problem.
Estimating Turbulence Distribution Over A Heterogeneous Path Using Time‐Lapse Imagery From Dual Cameras,
2021
Air Force Institute of Technology
Estimating Turbulence Distribution Over A Heterogeneous Path Using Time‐Lapse Imagery From Dual Cameras, Benjamin Wilson, Santasri Bose-Pillai, Jack E. Mccrae, Kevin J. Keefer, Steven T. Fiorino
Faculty Publications
Knowledge of turbulence distribution along an experimental path can help in effective turbulence compensation and mitigation. Although scintillometers are traditionally used to measure the strength of turbulence, they provide a path-integrated measurement and have limited operational ranges. A technique to profile turbulence using time-lapse imagery of a distant target from spatially separated cameras is presented here. The method uses the turbulence induced differential motion between pairs of point features on a target, sensed at a single camera and between cameras to extract turbulence distribution along the path. The method is successfully demonstrated on a 511 m almost horizontal path going …
Berry-Esseen Bounds For Approximate Maximum Likelihood Estimators In The Α-Brownian Bridge,
2021
Kuwait University, Kuwait City, Kuwait
Berry-Esseen Bounds For Approximate Maximum Likelihood Estimators In The Α-Brownian Bridge, Khalifa Es-Sebaiy, Jabrane Moustaaid, Idir Ouassou
Journal of Stochastic Analysis
No abstract provided.
On A Polyanalytic Approach To Noncommutative De Branges–Rovnyak Spaces And Schur Analysis,
2021
Chapman University
On A Polyanalytic Approach To Noncommutative De Branges–Rovnyak Spaces And Schur Analysis, Daniel Alpay, Fabrizio Colombo, Kamal Diki, Irene Sabadini
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper we begin the study of Schur analysis and of de Branges–Rovnyak spaces in the framework of Fueter hyperholomorphic functions. The difference with other approaches is that we consider the class of functions spanned by Appell-like polynomials. This approach is very efficient from various points of view, for example in operator theory, and allows us to make connections with the recently developed theory of slice polyanalytic functions. We tackle a number of problems: we describe a Hardy space, Schur multipliers and related results. We also discuss Blaschke functions, Herglotz multipliers and their associated kernels and Hilbert spaces. Finally, …
Numeric And Dynamic B-Stability, Exact-Monotone And Asymptotic Two-Point Behavior Of Theta Methods For Stochastic Differential Equations,
2021
Southern Illinois University, Carbondale, IL 62901, USA
Numeric And Dynamic B-Stability, Exact-Monotone And Asymptotic Two-Point Behavior Of Theta Methods For Stochastic Differential Equations, Henri Schurz
Journal of Stochastic Analysis
No abstract provided.
A Math Without Words Puzzle,
2021
Stephen F. Austin State University
A Math Without Words Puzzle, Jane H. Long, Clint Richardson
Journal of Math Circles
A visual puzzle by James Tanton forms the basis for a session that has been successfully implemented with various audiences. Designed to be presented with no directions or description, the puzzle requires participants to discover the goals themselves and to generate their own questions for investigation. Solutions, significant facilitation suggestions, and possibilities for deep mathematical extensions are discussed; extensive illustrations are included.
On Distributions Of Self-Adjoint Extensions Of Symmetric Operators,
2021
Politecnico di Milano, Milan, 20133, Italy
On Distributions Of Self-Adjoint Extensions Of Symmetric Operators, Franco Fagnola, Zheng Li
Journal of Stochastic Analysis
No abstract provided.
Modeling The Spread Of Covid-19 Over Varied Contact Networks,
2021
California Polytechnic State University, San Luis Obispo
Modeling The Spread Of Covid-19 Over Varied Contact Networks, Ryan L. Solorzano
Master's Theses
When attempting to mitigate the spread of an epidemic without the use of a vaccine, many measures may be made to dampen the spread of the disease such as physically distancing and wearing masks. The implementation of an effective test and quarantine strategy on a population has the potential to make a large impact on the spread of the disease as well. Testing and quarantining strategies become difficult when a portion of the population are asymptomatic spreaders of the disease. Additionally, a study has shown that randomly testing a portion of a population for asymptomatic individuals makes a small impact …
