The Winter of Democracy

Partitocracy in Belgium

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In itself, partitocracy can be simply defined as a political regime where power is – in an excessive degree – in the hands of political parties. In Belgium, partitocracy has reached its highest level of elaboration, with complex interactions between citizens, candidates and elected representatives, parties as well as parliaments and governments... Lire la suite

In itself, partitocracy can be simply defined as a political regime where power is – in an excessive degree – in the hands of political parties. In Belgium, partitocracy has perhaps reached its highest level of elaboration, with complex interactions between citizens, candidates and elected representatives, parties as well as parliaments and governments.
The Winter of Democracy: Partitocracy in Belgium aligns a dozen of scientific contributions that tackle the mutltifaceted concept of partitocracy from multiple perspectives. The book also celebrates the academic career of Lieven De Winter, almost five decades of a rich research commitment that spanned both at Université catholique de Louvain and at the Katholieke Universiteit Leuven, as well as across numerous institutions, projects and networks all around Europe. Lieven De Winter has significantly contributed to the study of all dimensions that constitute the core object of this book: Partitocracy in Belgium.


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Spécifications


Éditeur
Presses universitaires de Louvain
Édité par
Pierre Baudewyns, Marleen Brans, Min Reuchamps, Benoît Rihoux, Virginie Van Ingelgom,
Langue
anglais
BISAC Subject Heading
POL015000 POLITICAL SCIENCE / Political Process / Political Parties
BIC subject category (UK)
JP Politics & government > JPL Political parties
Code publique Onix
06 Professionnel et académique
CLIL (Version 2013-2019 )
3290 Organisation de l'Etat et action publique > 3293 Socialisation politique
Date de première publication du titre
23 juin 2022
Subject Scheme Identifier Code
: Sciences politiques et affaires publiques
: Sciences politiques et sociales
Type d'ouvrage
Monographie

Paperback


Date de publication
12 octobre 2016
ISBN-13
9782875584861
Ampleur
Nombre de pages de contenu principal : 296
Dépôt Légal
423 Louvain-la-Neuve, Belgique
Code interne
93517
Format
16 x 24 cm
Poids
475 grammes
Prix
31,06 €
ONIX XML
Version 2.1, Version 3

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Sommaire


Nomenclature xxi
1 Introduction 1
1.1 Motivations . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Outline and contributions . . . . . . . . . . . . . . . . . . 4
2 Preliminaries 7
2.1 Regularized inverse problems . . . . . . . . . . . . . . . . 7
2.1.1 Forward model . . . . . . . . . . . . . . . . . . . . 8
2.1.2 Low complexity priors . . . . . . . . . . . . . . . . 15
2.1.3 Sensing model and embedding . . . . . . . . . . . 25
2.2 Recovery methods . . . . . . . . . . . . . . . . . . . . . . 32
2.2.1 General optimization formulation . . . . . . . . . 33
2.2.2 Non-convex recovery methods . . . . . . . . . . . 35
2.2.3 Convex recovery methods . . . . . . . . . . . . . . 41
2.2.4 Algorithms for convex optimization . . . . . . . . 46
2.2.5 Dictionary Learning . . . . . . . . . . . . . . . . . 51
3 Sparse Support Recovery with Convex Fidelity Constraint 57
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 58
3.1.1 Sparse regularization with convex fidelity constraint 58
3.1.2 Dual Certificates . . . . . . . . . . . . . . . . . . . 60
3.1.3 Main result for sparse support recovery . . . . . . 62
3.1.4 Relation to PriorWorks . . . . . . . . . . . . . . . 64
x Table of contents
3.2 Preliminaries and main result . . . . . . . . . . . . . . . . 65
3.2.1 Noiseless support stability . . . . . . . . . . . . . . 65
3.2.2 Model subspace and restricted injectivity conditions 66
3.2.3 Formal statement of the main result . . . . . . . . 71
3.3 Proofs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
3.3.1 Proofs of the lemmas and subdifferential decomposability
. . . . . . . . . . . . . . . . . . . . . . . 74
3.3.2 Proof of Theorem 5 . . . . . . . . . . . . . . . . . . 83
3.4 Numerical experiments . . . . . . . . . . . . . . . . . . . . 91
3.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
4 Online Convolutional Dictionary Learning for
Multimodal Imaging 95
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 96
4.1.1 Main Contributions . . . . . . . . . . . . . . . . . . 97
4.1.2 RelatedWork . . . . . . . . . . . . . . . . . . . . . 99
4.2 Proposed Method . . . . . . . . . . . . . . . . . . . . . . . 100
4.2.1 Problem Formulation . . . . . . . . . . . . . . . . 100
4.2.2 Online Convolutional Dictionary Learning
Algorithm . . . . . . . . . . . . . . . . . . . . . . . 104
4.2.3 Dictionary update . . . . . . . . . . . . . . . . . . 105
4.2.4 Implementation details . . . . . . . . . . . . . . . 107
4.3 Experimental Evaluation . . . . . . . . . . . . . . . . . . . 110
4.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
5 Multispectral Compressive Imaging Strategies using
Fabry-Pérot Filtered Sensors 119
5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 120
5.1.1 Main Contributions . . . . . . . . . . . . . . . . . . 121
5.1.2 RelatedWork . . . . . . . . . . . . . . . . . . . . . 122
5.2 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . 125
5.2.1 Fabry-Pérot Filtered Sensors . . . . . . . . . . . . 125
5.2.2 Forward model and analysis prior . . . . . . . . . 127
Table of contents xi
5.2.3 Recovery Method . . . . . . . . . . . . . . . . . . . 128
5.3 Multispectral Compressive Imaging by Generalized Inpainting
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132
5.3.1 Image Formation Model . . . . . . . . . . . . . . . 132
5.3.2 Simulations . . . . . . . . . . . . . . . . . . . . . . 135
5.3.3 Experiments . . . . . . . . . . . . . . . . . . . . . . 138
5.4 Multispectral Compressive Imaging by Out-of-Focus
Random Convolution . . . . . . . . . . . . . . . . . . . . . 140
5.4.1 Image Formation Model . . . . . . . . . . . . . . . 140
5.4.2 Non-idealities and practical considerations . . . . 145
5.4.3 Sensing matrix implementation . . . . . . . . . . . 151
5.4.4 Simulations . . . . . . . . . . . . . . . . . . . . . . 153
5.5 Final Comparison . . . . . . . . . . . . . . . . . . . . . . . 155
5.6 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 160
6 Conclusions 163
6.1 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163
6.2 Perspectives and open questions . . . . . . . . . . . . . . 166
References 173
Appendix A Elements of Convex Optimization 195