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1. |
Record Nr. |
UNISA996466637103316 |
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Autore |
Post Olaf |
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Titolo |
Spectral Analysis on Graph-like Spaces [[electronic resource] /] / by Olaf Post |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 |
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ISBN |
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Edizione |
[1st ed. 2012.] |
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Descrizione fisica |
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1 online resource (XV, 431 p. 28 illus.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 2039 |
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Disciplina |
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Soggetti |
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Mathematical analysis |
Analysis (Mathematics) |
Functional analysis |
Operator theory |
Mathematical physics |
Partial differential equations |
Graph theory |
Analysis |
Functional Analysis |
Operator Theory |
Mathematical Physics |
Partial Differential Equations |
Graph Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1 Introduction -- 2 Graphs and associated Laplacians -- 3 Scales of Hilbert space and boundary triples -- 4 Two operators in different Hilbert spaces -- 5 Manifolds, tubular neighbourhoods and their perturbations -- 6 Plumber’s shop: Estimates for star graphs and related spaces -- 7 Global convergence results. |
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Sommario/riassunto |
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Small-radius tubular structures have attracted considerable attention in the last few years, and are frequently used in different areas such as Mathematical Physics, Spectral Geometry and Global Analysis. In this monograph, we analyse Laplace-like operators on thin tubular |
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structures ("graph-like spaces''), and their natural limits on metric graphs. In particular, we explore norm resolvent convergence, convergence of the spectra and resonances. Since the underlying spaces in the thin radius limit change, and become singular in the limit, we develop new tools such as -norm convergence of operators acting in different Hilbert spaces, - an extension of the concept of boundary triples to partial differential operators, and -an abstract definition of resonances via boundary triples. These tools are formulated in an abstract framework, independent of the original problem of graph-like spaces, so that they can be applied in many other situations where the spaces are perturbed. |
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2. |
Record Nr. |
UNINA9910734897003321 |
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Autore |
Moskalev A. A (Alekseĭ Aleksandrovich), <1976-> |
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Titolo |
Artificial Intelligence for Healthy Longevity / / edited by Alexey Moskalev, Ilia Stambler, Alex Zhavoronkov |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
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ISBN |
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Edizione |
[1st ed. 2023.] |
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Descrizione fisica |
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1 online resource (328 pages) |
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Collana |
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Healthy Ageing and Longevity, , 2199-9015 ; ; 19 |
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Altri autori (Persone) |
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StamblerIlia <1972-> |
ZhavoronkovAlex |
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Disciplina |
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570.285 |
570.113 |
612.68028563 |
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Soggetti |
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Bioinformatics |
Biomathematics |
Artificial intelligence |
Computer simulation |
Medical informatics |
Computational and Systems Biology |
Mathematical and Computational Biology |
Artificial Intelligence |
Computer Modelling |
Health Informatics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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AI in longevity -- Automated reporting of medical diagnostic imaging for early disease and aging biomarkers detection -- Risk forecasting tools based on the collected information for two types of occupational diseases -- Obtaining longevity footprints in DNA methylation data using different machine learning approaches -- The role of assistive technology in regulating the behavioural and psychological symptoms of dementia -- Epidemiology, genetics and epigenetics of Biological Aging: one or more aging systems? -- Temporal relation prediction from Electronic Health Records using Graph Neural Networks and Transformers Embeddings -- In silico screening of life-extending drugs using machine learning and omics data -- An overview of kernel methods for identifying genetic association with health-related traits -- Artificial Intelligence approaches for skin anti-aging and skin resilience research -- AI in genomics and epigenomics -- The utility of information theory based methods in the research of agingand longevity -- AI for Longevity: getting past the Mechanical Turk model will take Good Data -- Leveraging algorithmic and human networks to cure human aging: Holistic understanding of Longevity via Generative Cooperative Networks, Hybrid Bayesian/Neural/Logical AI and Tokenomics-Mediated Crowdsourcing. . |
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Sommario/riassunto |
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This book reviews the state-of-the-art efforts to apply machine learning and AI methods for healthy aging and longevity research, diagnosis, and therapy development. The book examines the methods of machine learning and their application in the analysis of big medical data, medical images, the creation of algorithms for assessing biological age, and effectiveness of geroprotective medications. The promises and challenges of using AI to help achieve healthy longevity for the population are manifold. This volume, written by world-leading experts working at the intersection of AI and aging, provides a unique synergy of these two highly prominent fields and aims to create a balanced and comprehensive overview of the application methodology that can help achieve healthy longevity for the population. The book is accessible and valuable for specialists in AI and longevity research, as well as a wide readership, including gerontologists, geriatricians, medical specialists, andstudents from diverse fields, basic scientists, public and private research entities, and policy makers interested in potential intervention in degenerative aging processes using advanced computational tools. . |
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