Results 121 to 130 of about 57,258 (313)

A geometric algorithm for approximating semicontinuous function

Journal of Approximation Theory, 1987
Let h be an upper semicontinuous function on a metric space X, and let f be a continuous function that majorizes h. For each x in X let \(\phi\) (f,h)(x) be the distance of (x,f(x)) to the graph of h. In this article we study the following algorithm that produces a decreasing sequence of continuous functions convergent pointwise to h: set \(f_ 0=f ...
openaire   +2 more sources

Normal‐Appearing White Matter Injury Mediates Chronic Deep Venous Hypoxia and Disease Progression in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang, Huiying Wang, Zhizheng Zhuo, Ai Guo, Ke Lv, Decai Tian, Chao Chai, Yunyun Duan, Shuang Xia   +8 more
wiley   +1 more source

Numerical Approach for the Frequency-Weighted Hankel-Norm Approximation

, 2001
We derive new projection formulas for the model reduction method based on the frequency-weighted Hankel norm approximation (FWHNA). These formulas extend the applicability of the FWHNA method to frequency weights expressed as antistable right/left ...
Varga, Andras
core  

Structured Low-rank Approximation as a Rational Function Minimization [PDF]

, 2012
Many problems of system identification, model reduction and signal processing can be posed and solved as a structured low-rank approximation problem (SLRA).
Markovsky, Ivan, Usevich, Konstantin
core  

Quantum Computational Complexity of Matrix Functions

PRX Quantum
We investigate the dividing line between classical and quantum computational power in estimating properties of matrix functions. More precisely, we study the computational complexity of two primitive problems: given a function f and a Hermitian matrix A,
Santiago Cifuentes, Samson Wang, Thais L. Silva, Mario Berta, Leandro Aolita   +4 more
doaj   +1 more source

Laguerre-Based Frequency-Limited Balanced Truncation of Discrete-Time Systems

Mathematics
This paper introduces a novel model order reduction (MOR) method for linear discrete-time systems, focusing on frequency-limited balanced truncation (BT) techniques. By leveraging Laguerre functions, we develop two efficient MOR algorithms that avoid the
Zhou Song, Qiu-Yan Song, Umair Zulfiqar
doaj   +1 more source

Quantifying the Impact of Ocrelizumab on Paramagnetic Rim Lesions in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Paramagnetic rim lesions (PRLs) are a subset of chronic active multiple sclerosis (MS) lesions marked by iron‐laden microglia and macrophages. Ocrelizumab, a monoclonal antibody targeting CD20+ B cells, suppresses acute MS activity, but its effect on PRLs remains unclear. In a longitudinal study of 29 ocrelizumab‐treated patients with at least
Kimberly H. Markowitz, Neha V. Safi, Iliana Pliska‐Bloch, Ulrike W. Kaunzner, Ha Luu, Mert Sisman, Yi Wang, Thanh D. Nguyen, Sandra Hurtado Rúa, Susan A. Gauthier   +9 more
wiley   +1 more source

ALGORITHMIZATION OF CALCULATIONS OF THE KOLMOGOROV–NIKOL’SKII CONSTANTS FOR VALUES OF APPROXIMATIONS OF CONJUGATED DIFFERENTIABLE FUNCTIONS BY GENERALIZED POISSON INTEGRALS

Міжнародний науково-технічний журнал "Проблеми керування та інформатики"
In applied mathematics in solving a number of problems, it is advisable to use the methods and approaches of approximation theory. One of the most important types of problems, of both the theory of approximation of functions and applied mathematics, is ...
К.М. Жигалло
doaj   +1 more source

RNA Sequencing Resolves Cryptic Pathogenic Variants in Mitochondrial Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Mitochondrial diseases are the most common inherited metabolic disorders, characterized by pronounced clinical and genetic heterogeneity that complicates molecular diagnosis. Although DNA‐based sequencing approaches have become standard in genetic testing, up to half of patients remain without a definitive diagnosis.
Zhimei Liu, Xin Duan, Fatemeh Peymani, Jia Wang, Chengjia Bao, Chaolong Xu, Ying Zou, Zixuan Zhang, Yunxi Zhang, Tongyue Li, Martin Pavlov, Junling Wang, Minhan Song, Tianyu Song, Xiaodi Han, Mingxi Sun, Danmin Shen, Ruoyu Duan, Huafang Jiang, Manting Xu, Holger Prokisch, Fang Fang   +21 more
wiley   +1 more source

High‐Resolution MRI Revealed Different Etiology‐Specific Associations With Cerebral Infarction in Adult Moyamoya Vasculopathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective High‐resolution MRI enables detailed assessment of intracranial vessel wall pathology in moyamoya vasculopathy. We aimed to classify adult moyamoya vasculopathy etiologies using high‐resolution MRI and to examine subtype‐specific associations between high‐resolution MRI features and ischemic infarction.
Guangsong Han, Jiachun Pan, Yuehui Hong, Xiaoyuan Fan, Ming Yao, Lixin Zhou, Yicheng Zhu, Feng Feng, Jun Ni   +8 more
wiley   +1 more source