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Stochastic Gradient Descent for Linear Systems with Missing Data

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Numerical Mathematics(Theory,Methods and Applications) 2019年第1期12卷 1-20页

作者： anna Ma Deanna Needell Claremont Graduate University ClaremontCA 91711USA University of California Los AngelesLos Angeles CA 90095USA

Traditional methods for solving linear systems have quickly become imprac-tical due to an increase in the size of available *** massive amounts of data is further complicated when the data is incomplete or has missing *** this work,we address the obstacles presented when working with large data and incom-plete data *** particular,we propose to adapt the Stochastic Gradient Descent method to address missing data in linear *** proposed algorithm,the Stochastic Gradient Descent for Missing Data method(mSGD),is introduced and theoretical convergence guarantees are *** addition,we include numerical experiments on simulated and real world data that demonstrate the usefulness of our method.

关键词： Linear systems missing data iterative methods least squares problems

Acyclic colorings of graphs with bounded degree

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Science China Mathematics 2016年第7期59卷 1427-1440页

作者： FIEDOROWICZ anna SIDOROWICZ Elzbieta Faculty of Mathematics Computer Science and Econometrics University of Zielona Góra

A k coloring(not necessarily proper) of vertices of a graph is called acyclic, if for every pair of distinct colors i and j the subgraph induced by the edges whose endpoints have colors i and j is acyclic. We consider some generalized acyclic k colorings, namely, we require that each color class induces an acyclic or bounded degree graph. Mainly we focus on graphs with maximum degree 5. We prove that any such graph has an acyclic 5 coloring such that each color class induces an acyclic graph with maximum degree at most 4. We prove that the problem of deciding whether a graph G has an acyclic 2 coloring in which each color class induces a graph with maximum degree at most 3 is NP complete, even for graphs with maximum degree 5. We also give a linear time algorithm for an acyclic t improper coloring of any graph with maximum degree d assuming that the number of colors is large enough.

关键词： acyclic coloring bounded degree graph computational complexity

LEBESGUE DECOMPOSITION AND BARTLE-DUNFORD-SCHWARTZ THEOREM IN PSEUDO-D-LATTICES

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Acta Mathematica Scientia 2013年第3期33卷 653-677页

作者： anna AVALLONE Paolo VITOLO Dipartimento di Matematica e Informatica Università della BasilicataViale dell'Ateneo Lucano 10 85100 Potenza Italy

Let L be a pseudo-D-lattice. We prove that the exhaustive lattice uniformities on L which makes the operations of L uniformly continuous form a Boolean algebra isomorphic to the centre of a suitable complete pseudo-D-lattice associated to L. As a consequence, we obtain decomposition theorems such as Lebesgue and Hewitt-Yosida decompositions--and control theorems such as Bartle-Dunford Schwartz and Rybakov theorems--for modular measures on L.

关键词： Pseudo-effect algebra pseudo-D-lattice D-uniformity lattice uniformity mod-ular measure

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Underground Space 2021年第1期6卷 35-45页

作者： Estanislao Pujades anna Jurado Department of Computational Hydrosystems UFZ–Helmholtz Centre for Environmental ResearchPermoserstr.1504318 LeipzigGermany Institute for Groundwater Management Technische Universitat DresdenDresdenGermany

The expected growth of urban areas requires the construction of underground infrastructures,especially for improving transportation and *** new infrastructures are commonly constructed below the water table because they must be deeper than previous underground *** addition,many urban areas are located near surface water bodies(i.e.,seas,rivers and/or lakes)that induce a shallow water ***"cut and cover"method combined with dewatering wells is a frequently used procedure under these conditions for the construction of underground *** main concerns of this procedure are related to the stability of the excavation bottom,the behavior of the retaining walls and/or the impacts induced by the dewatering *** issues must be evaluated,and new solutions must be proposed to improve its weak *** paper compiles the main publications focused on the construction of underground infrastructures below the water table and in urban areas by using the cut and cover method combined with *** review reveals that,despite many published studies,more research is needed to address some relevant issues such as:(1)the mitigation of dewatering impacts by using artificial recharge,(2)the adaptation of methods for characterizing retaining walls to be used under heterogeneous conditions,(3)the improvement of the prediction of surface settlements produced by pumping,and(4)the consideration of non-Darcy flows in the design of dewatering systems.

关键词： Dewatering Excavation Cut and cover Retaining walls Settlements

On complete convergence in Marcinkiewicz-Zygmund type SLLN for random variables

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Applied Mathematics(A Journal of Chinese Universities) 2021年第3期36卷 342-353页

作者： anna Kuczmaszewska YAN Ji-gao Department of Applied Mathematics Lublin University of TechnologyNadbystrzycka 38 D20-618 LublinPoland School of Mathematical Sciences Soochow UniversitySuzhou 215006China

We consider a generalization of Baum-Katz theorem for random variables satisfying some cover ***,we get the results for many dependent structures,such as END,ϱ^(*)mixing,ϱ^(-)mixing andφ-mixing,etc.

关键词： complete convergence Marcinkiewicz-Zygmund type SLLN weakly mean bounded

Biological and clinical aspects of HPV-related cancers

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Cancer Biology & Medicine 2020年第4期17卷 864-878页

作者： Klaudia anna Szymonowicz Junjie Chen Department of Experimental Radiation Oncology The University of Texas MD Anderson Cancer CenterHoustonTX 77030USA

Cancer-related diseases represent the second overall cause of death *** papilloma virus(HPV)is an infectious agent which is mainly sexually transmitted and may lead to HPV-associated cancers in both men and *** all cervical cancers are HPV-associated,however,an increasing number of head and neck cancers(HNCs),especially oropharyngeal cancer,can be linked to HPV ***,anogenital cancers,including vaginal,vulvar,penial,and anal cancers,represent a subset of HPVrelated *** testing and prevention of cervical cancer have significantly improved over past decades,anogenital cancers remain more difficult to *** clinical trials including patients with HPV-related cancers focus on finding proper testing for all HPV-associated cancers as well as improve the currently applied *** HPV viral oncoproteins,E6 and E7,lead to degradation of,respectively,p53 and pRb resulting in entering the S phase without G1 *** high-risk HPV viral oncogenes alter numerous cellular processes,including DNA repair,angiogenesis,and/or apoptosis,which eventually result in ***,a comprehensive analysis of gene expression and alteration among a panel of DNA double strand breaks(DSB)repair genes in HPV-negative and HPV-positive HNC cancers reveals differences pointing to HPV-dependent modifications of DNA repair processes in these *** this review,we discuss the current knowledge regarding HPV-related cancers,current screening,and treatment options as well as DNA damage response-related biological aspects of the HPV infection and clinical trials.

关键词： Human papillomavirus(HPV) cervical cancer HNC DNA repair clinical trials cancer statistics

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地中海的宁静 EKONIKA莫斯科旗舰店

室内设计与装修 2025年第1期 58-63页

作者：无 anna Lvovskaia Boris Lvovskiy Fedor Goreglyad Maria Romanova Vasilii Portnyagin Nikita Subbotin(摄影) 秋落(编译) DA bureau 不详 Landon Studio

EKONIKA是俄罗斯最大的鞋类连锁店之一,已上市30多年。在过去的5年里,该品牌发生了重大变化,变得更加现代化,面向更年轻的受众。这些变化需要改变连锁店的视觉形象,这也是设计师工作的难点。作为EKONIKA鞋类和配饰连锁店品牌重塑的一部... 详细信息

EKONIKA是俄罗斯最大的鞋类连锁店之一,已上市30多年。在过去的5年里,该品牌发生了重大变化,变得更加现代化,面向更年轻的受众。这些变化需要改变连锁店的视觉形象,这也是设计师工作的难点。作为EKONIKA鞋类和配饰连锁店品牌重塑的一部分,设计师为该品牌的展厅开发了全新的视觉解决方案。

关键词：品牌重塑连锁店视觉形象地中海鞋类旗舰店俄罗斯 EK

WNT/β-catenin signaling in hepatocellular carcinoma:The aberrant activation,pathogenic roles,and therapeutic opportunities

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Genes & Diseases 2024年第2期11卷 727-746页

作者： anna Gajos-Michniewicz Malgorzata Czyz Department of Molecular Biology of Cancer Medical University of LodzLodz 92-215Poland

Hepatocellular carcinoma(HCC)is a liver cancer,highly heterogeneous both at the histopathological and molecular *** arises from hepatocytes as the result of the accumulation of numerous genomic alterations in various signaling pathways,including canonical WNT/β-catenin,AKT/mTOR,MAPK pathways as well as signaling associated with telomere maintenance,p53/cell cycle regulation,epigenetic modifiers,and oxidative *** role of WNT/β-catenin signaling in liver homeostasis and regeneration is well established,whereas in development and progression of HCC is extensively ***,we review recent advances in our understanding of how WNT/β-catenin signaling facilitates the HCC development,acquisition of stemness features,metastasis,and resistance to *** outline genetic and epigenetic alterations that lead to activated WNT/β-catenin signaling in *** discuss the pivotal roles of CTNNB1 mutations,aberrantly expressed non-coding RNAs and complexity of crosstalk between WNT/β-catenin signaling and other signaling pathways as challenging or advantageous aspects of therapy development and molecular stratification of HCC patients for treatment.

关键词： Cancer stem cells CTNNB1 mutations Liver cancer Non-coding RNA Tumor heterogeneity

Key changes across valley floors in mountain areas affected by different levels of human impact: a case study of the Ochotnica river catchment in the Polish Carpathians

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Journal of Mountain Science 2024年第11期21卷 3567-3583页

作者： Agata GOŁĄB anna MICHNO Doctoral School of Exact and Natural Sciences Jagiellonian UniversityProf.St.Łojasiewicza St 11Cracow 30348Poland Faculty of Geography and Geology Jagiellonian UniveristyGronostajowa St 3Cracow 30387Poland

The goal of this paper was to present knowledge on changes in the morphodynamic structure of the Ochotnica River(Polish Carpathians)and transformations within its active river zone since the end of the 19th *** study used a set of archival and contemporary cartographic materials and the results of three-fold field mapping of the morphodynamic structure of the *** and indirect human interference with the natural environment of the catchment and the fluvial system was taken into account in the *** of changes in the morphodynamic structure of the Ochotnica and its active river zone since the end of the 19th century indicated significant changes in the development trend of the *** contemporary structure of the Ochotnica is more complex than in the *** has been a fragmentation of the riverbed into sections with different morphodynamic *** proportion of erosive sections has increased,which explains the reduced in the width of the active river zone of the *** average width of the active river zone of the river between 1861 and 2022 has changed from 80 m to 18 *** impact has been identified as the main reason for the changes in the morphodynamic structure of the riverbed and its active river ***,only the unregulated sect ion is characterised by free lateral migration of the riverbed and the widest active river zone(~28 m).

关键词： Active river zone Channel changes Mountain river Human impact