Works Published in 2018
Displaying works 181 - 191 of 191 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2018 journal article
Stationary Expansion Shocks for a Regularized Boussinesq System
STUDIES IN APPLIED MATHEMATICS, 140(1), 27–47.
onlinelibrary.wiley.com (publisher PDF)
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
15. Life on Land
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2018 journal article
Perspective functions: Proximal calculus and applications in high-dimensional statistics
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 457(2), 1283–1306.
author keywords: Convex function; Perspective function; Proximal algorithm; Proximity operator; Statistics
TL;DR:
It is shown that proximal methods provide an efficient framework to model and solve problems involving perspective functions and showcases the versatility of the framework by designing novel proximal algorithms for state-of-the-art regression and variable selection schemes in high-dimensional statistics.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2018 journal article
Optimization of spatiotemporally fractionated radiotherapy treatments with bounds on the achievable benefit
PHYSICS IN MEDICINE AND BIOLOGY, 63(1).
author keywords: treatment planning; optimization; spatiotemporal fractionation
MeSH headings : Dose Fractionation, Radiation; Humans; Liver Neoplasms / radiotherapy; Organs at Risk / radiation effects; Radiotherapy Planning, Computer-Assisted / methods; Radiotherapy Planning, Computer-Assisted / standards; Radiotherapy, Intensity-Modulated / methods; Treatment Outcome
TL;DR:
The results indicate that spatiotemporal treatments can achieve substantial reductions in normal tissue dose and BED, and that local optimization techniques provide high-quality plans that are close to realizing the maximum potentialnormal tissue dose reduction.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2018 journal article
Improving root separation bounds
JOURNAL OF SYMBOLIC COMPUTATION, 84, 25–56.
author keywords: Root separation bounds; Polynomial roots; Polynomial systems
TL;DR:
Two new root separation bounds are presented: one univariate bound, and one multivariate bound that are not harder to compute than the previous bounds.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2018 journal article
Certifying solutions to overdetermined and singular polynomial systems over Q
JOURNAL OF SYMBOLIC COMPUTATION, 84, 147–171.
author keywords: Overdetermined; Polynomial system; Singular solutions; Certification; Rational univariate representation; Isosingular deflation
TL;DR:
This papercertifies that a given point is near an exact root of an overdetermined or singular polynomial system with rational coefficients, and uses hybrid symbolic-numeric methods to compute the exact "rational univariate representation" of a component of the input system from approximate roots.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2018 journal article
Regularized learning schemes in feature Banach spaces
ANALYSIS AND APPLICATIONS, 16(1), 1–54.
author keywords: Consistency; Banach spaces; empirical risk; feature map; reproducing kernel; regularization; representer theorem; statistical learning; totally convex function
TL;DR:
A unified framework for the investigation of constrained learning theory in reflexive Banach spaces of features via regularized empirical risk minimization with totally convex functions is proposed, which establishes a new general form of the representer theorem and the consistency of the corresponding learning schemes.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2018 journal article
Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials
Journal of Computational Physics, 354, 26–42.
author keywords: Method of difference potentials (MDP); Compact finite difference scheme; Implicit scheme; Regular structured grid; Nonconforming boundary; High-order accuracy; High-order MDP
TL;DR:
This work solves the wave equation with variable wave speed on nonconforming domains with fourth order accuracy in both space and time using an implicit finite difference scheme and solving an elliptic equation at each time step by the method of difference potentials (MDP).
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2018 journal article
Nonlinear Kalman filtering for censored observations
Applied Mathematics and Computation, 316, 155–166.
author keywords: Extended Kalman filter; Censored observation; Parameter estimation; Hepatitis C virus (HCV); Human immunodeficiency virus (HIV)
TL;DR:
A modified version of the extended Kalman filter is developed to handle the case of censored observations in nonlinear systems and is validated in a simple oscillator system first, showing its ability to accurately reconstruct state variables and track system parameters when observations are censored.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, Crossref
Added: August 6, 2018
2018 journal article
A categorification of the chromatic symmetric function
Journal of Combinatorial Theory, Series A, 154, 218–246.
author keywords: Symmetric functions; Chromatic polynomial; Khovanov homology; Representations; Frobenius series; Graph coloring
TL;DR:
The ideas of Khovanov homology are applied to construct a homology of graded S_n-modules, whose graded Frobenius series $Frob_G(q,t)$ reduces to the chromatic symmetric function at $q=t=1$.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
4. Quality Education
(Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries, Crossref
Added: August 6, 2018
2018 journal article
The maximum likelihood threshold of a graph
BERNOULLI, 24(1), 386–407.
author keywords: algebraic matroids; Gaussian graphical models; matrix completion; maximum likelihood estimation; maximum likelihood threshold; rigidity theory; score matching estimator; weak maximum likelihood threshold
Source: Web Of Science
Added: August 6, 2018
2018 journal article
Deformation of an elastic substrate due to a resting sessile droplet
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 29(2), 281–300.
author keywords: PDEs in Connection with Mechanics of Deformable Solids; Transform Methods; Classical Linear Elasticity; Numerical Approximation of Solutions; Fluid-Solid Interactions
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
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