1.

Record Nr.

UNISA996198512903316

Titolo

Machine Learning and Data Mining in Pattern Recognition [[electronic resource] ] : 11th International Conference, MLDM 2015, Hamburg, Germany, July 20-21, 2015, Proceedings / / edited by Petra Perner

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015

ISBN

3-319-21024-6

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (IX, 454 p. 132 illus.)

Collana

Lecture Notes in Artificial Intelligence ; ; 9166

Disciplina

006.4

Soggetti

Data mining

Pattern recognition

Algorithms

Application software

Database management

Artificial intelligence

Data Mining and Knowledge Discovery

Pattern Recognition

Algorithm Analysis and Problem Complexity

Information Systems Applications (incl. Internet)

Database Management

Artificial Intelligence

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Graph Mining -- Classification and regression -- Sentiment analysis -- Data preparation and missing values -- Association and sequential rule mining -- Support vector machines -- Frequent item set mining and time series analysis -- Clustering -- Text mining -- Applications data mining.

Sommario/riassunto

This book constitutes the refereed proceedings of the 11th International Conference on Machine Learning and Data Mining in Pattern Recognition, MLDM 2015, held in Hamburg, Germany, in July 2015. The 41 full papers presented were carefully reviewed and



selected from 123 submissions. The topics range from theoretical topics for classification, clustering, association rule and pattern mining to specific data mining methods for the different multimedia data types such as image mining, text mining, video mining and Web mining.

2.

Record Nr.

UNISA996466550003316

Autore

Mabuchi Toshiki <1950->

Titolo

Test configurations, stabilities and canonical Kähler metrics : complex geometry by the energy method / / Toshiki Mabuchi

Pubbl/distr/stampa

Singapore : , : Springer, , [2021]

©2021

ISBN

981-16-0500-9

Descrizione fisica

1 online resource (x, 128 pages) : illustrations

Collana

SpringerBriefs in Mathematics

Disciplina

516.36

Soggetti

Geometry, Differential

Manifolds (Mathematics)

Moduli theory

Geometria diferencial

Varietats (Matemàtica)

Teoria de mòduls

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Preliminaries -- 1.2 The Deligne Pairings with Metrics -- 1.3 Definition of the Chow Norm -- 1.4 The First and Second Variation Formulas for the Chow Norm -- Problems -- 2 The Donaldson-Futaki Invariant -- 2.1 Test Configurations -- 2.2 Test Configurations Associated to One-Parameter Groups -- 2.3 Definition of the Donaldson-Futaki Invariant -- 2.4 Expression of DF1 as an Intersection Number -- 2.5 The Relationship Between the Chow Norm and DFi -- Problems -- 3 Canonical Kähler Metrics -- 3.1 Canonical Kähler Metrics on Compact Complex Manifolds -- 3.2 Conformal Changes of Metrics by



Hamiltonian Functions -- Problems -- 4 Norms for Test Configurations -- 4.1 Norms for Test Configurations of a Fixed Exponent -- 4.2 The Asymptotic 1-norm of a Test Configuration -- 4.3 Relative Norms for Test Configurations -- 4.4 The Twisted Kodaira Embedding -- 4.5 The Donaldson-Futaki Invariant for Sequences -- Problems -- 5 Stabilities for Polarized Algebraic Manifolds -- 5.1 The Chow Stability -- 5.2 The Hilbert Stability -- 5.3 K-stability -- 5.4 Relative Stability -- Problems -- 6 The Yau-Tian-Donaldson Conjecture -- 6.1 The Calabi Conjecture -- 6.2 The Yau-Tian-Donaldson Conjecture -- 6.3 The K-Energy -- 6.4 Extremal Kähler Versions of the Conjecture -- Problems -- 7 Stability Theorem -- 7.1 Strong K-Semistability of CSC Kähler Manifolds -- 7.2 Relative Balanced Metrics -- 7.3 Strong Relative K-Semistability of Extremal Kähler Manifolds -- 7.4 K-Polystability of Extremal Kähler Manifolds -- 7.5 A Reformulation of the Definition of the Invariant F ({μj}) -- Problems -- 8 Existence Problem -- 8.1 A Result of He on the Existence of Extremal Kähler Metrics -- 8.2 Some Observations on the Existence Problem -- Problems -- 9 Canonical Kähler Metrics on Fano Manifolds -- 9.1 Kähler Metrics in Anticanonical Class.

9.2 Extremal Vector Fields -- 9.3 An Obstruction of Matsushima's Type -- 9.4 An Invariant as an Obstruction to the Existence -- 9.5 Examples of Generalized Kähler-Einstein Metrics -- 9.6 Extremal Metrics on Generalized Kähler-Einstein Manifolds -- 9.7 The Product Formula for the Invariant γX -- 9.8 Yao's Result for Toric Fano Manifolds -- 9.9 Hisamoto's Result on the Existence Problem -- Problems -- A Geometry of Pseudo-Normed Graded Algebras -- A.1 Differential Geometric Viewpoints -- A.2 Lp-Spaces -- A.3 An Orthogonal Direct Sum of Lp-Spaces -- A.4 A Boundedness Theorem for Lp-Spaces -- A.5 The Moduli Space of Lp-Spaces -- A.6 A Multiplicative System of Lp-Spaces -- A.7 Degeneration Phenomena -- Solutions -- Problems of Chap.1 -- Problems of Chap.2 -- Problems of Chap.3 -- Problems of Chap.4 -- Problems of Chap.5 -- Problems of Chap.6 -- Problems of Chap.7 -- Problems of Chap.8 -- Problems of Chap.9 -- Bibliography.