Tropical Circuit Complexity
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Tropical Circuit Complexity
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Author : Stasys Jukna
language : en
Publisher: Springer Nature
Release Date : 2023-11-06
Tropical Circuit Complexity written by Stasys Jukna and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-06 with Mathematics categories.
This book presents an enticing introduction to tropical circuits and their use as a rigorous mathematical model for dynamic programming (DP), which is one of the most fundamental algorithmic paradigms for solving combinatorial, discrete optimization problems. In DP, an optimization problem is broken up into smaller subproblems that are solved recursively. Many classical DP algorithms are pure in that they only use the basic (min,+) or (max,+) operations in their recursion equations. In tropical circuits, these operations are used as gates. Thanks to the rigorous combinatorial nature of tropical circuits, elements from the Boolean and arithmetic circuit complexity can be used to obtain lower bounds for tropical circuits, which play a crucial role in understanding the limitations and capabilities of these computational models. This book aims to offer a toolbox for proving lower bounds on the size of tropical circuits. In this work, the reader will find lower-bound ideas and methods that have emerged in the last few years, with detailed proofs. Largely self-contained, this book is meant to be approachable by graduate students in mathematics and computer science with a special interest in circuit complexity.
Tropical And Non Archimedean Geometry
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Author : Omid Amini
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-12-26
Tropical And Non Archimedean Geometry written by Omid Amini and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-26 with Mathematics categories.
Over the past decade, it has become apparent that tropical geometry and non-Archimedean geometry should be studied in tandem; each subject has a great deal to say about the other. This volume is a collection of articles dedicated to one or both of these disciplines. Some of the articles are based, at least in part, on the authors' lectures at the 2011 Bellairs Workshop in Number Theory, held from May 6-13, 2011, at the Bellairs Research Institute, Holetown, Barbados. Lecture topics covered in this volume include polyhedral structures on tropical varieties, the structure theory of non-Archimedean curves (algebraic, analytic, tropical, and formal), uniformisation theory for non-Archimedean curves and abelian varieties, and applications to Diophantine geometry. Additional articles selected for inclusion in this volume represent other facets of current research and illuminate connections between tropical geometry, non-Archimedean geometry, toric geometry, algebraic graph theory, and algorithmic aspects of systems of polynomial equations.
Randomization Relaxation And Complexity In Polynomial Equation Solving
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Author : Leonid Gurvits
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Randomization Relaxation And Complexity In Polynomial Equation Solving written by Leonid Gurvits and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This volume corresponds to the Banff International Research Station Workshop on Randomization, Relaxation, and Complexity, held from February 28-March 5, 2010. It contains a sample of advanced algorithmic techniques underpinning the solution of systems of polynomial equations. The papers are written by leading experts in algorithmic algebraic geometry and examine core topics.
Integer Programming And Combinatorial Optimization
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Author : Alberto Del Pia
language : en
Publisher: Springer Nature
Release Date : 2023-05-21
Integer Programming And Combinatorial Optimization written by Alberto Del Pia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-21 with Computers categories.
This book constitutes the refereed proceedings of the 24th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2023, held in Madison, WI, USA, during June 21–23, 2023. The 33 full papers presented were carefully reviewed and selected from 119 submissions. IPCO is under the auspices of the Mathematical Optimization Society, and it is an important forum for presenting present recent developments in theory, computation, and applications. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.
Topological And Statistical Methods For Complex Data
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Author : Janine Bennett
language : en
Publisher: Springer
Release Date : 2014-11-19
Topological And Statistical Methods For Complex Data written by Janine Bennett and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-19 with Mathematics categories.
This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013. It features the work of some of the most prominent and recognized leaders in the field who examine challenges as well as detail solutions to the analysis of extreme scale data. The book presents new methods that leverage the mutual strengths of both topological and statistical techniques to support the management, analysis, and visualization of complex data. It covers both theory and application and provides readers with an overview of important key concepts and the latest research trends. Coverage in the book includes multi-variate and/or high-dimensional analysis techniques, feature-based statistical methods, combinatorial algorithms, scalable statistics algorithms, scalar and vector field topology, and multi-scale representations. In addition, the book details algorithms that are broadly applicable and can be used by application scientists to glean insight from a wide range of complex data sets.
Ecological Networks In The Tropics
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Author : Wesley Dáttilo
language : en
Publisher: Springer
Release Date : 2018-02-08
Ecological Networks In The Tropics written by Wesley Dáttilo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-08 with Science categories.
Based on graph theory studies this book seeks to understand how tropical species interact with each other and how these interactions are affected by perturbations in some of the most species-rich habitats on earth. Due to the great diversity of species and interactions in the tropics, this book addresses a wide range of current and future issues with empirical examples and complete revisions on different types of ecological networks: from mutualisms to antagonisms. The goal of this publication is not to be only for researchers but also for undergraduates in different areas of knowledge, and also to serve as a reference text for graduate-level courses mainly in the life sciences.
The Future Of Tropical Rain Forests In South East Asia
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Author : J. Davidson
language : en
Publisher:
Release Date : 1985
The Future Of Tropical Rain Forests In South East Asia written by J. Davidson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Forest conservation categories.
In The Shadows Of The Tropics
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Author : James S. Duncan
language : en
Publisher: Routledge
Release Date : 2016-05-23
In The Shadows Of The Tropics written by James S. Duncan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-23 with Science categories.
In this original work James Duncan explores the transformation of Ceylon during the mid-nineteenth century into one of the most important coffee growing regions of the world and investigates the consequent ecological disaster which erased coffee from the island. Using this fascinating case study by way of illustration, In the Shadows of the Tropics reveals the spatial unevenness and fragmentation of modernity through a focus on modern governmentality and biopower. It argues that the practices of colonial power, and the differences that race and tropical climates were thought to make, were central to the working out of modern governmental rationalities. In this context, the usefulness of Foucault's notions of biopower, discipline and governmentality are examined. The work contributes an important rural focus to current work on studies of governmentality in geography and offers a welcome non-state dimension by considering the role of the plantation economy and individual capitalists in the lives and deaths of labourers, the destabilization of subsistence farming and the aggressive re-territorialization of populations from India to Ceylon.
Complexity In Landscape Ecology
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Author : David Geoffrey Green
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-22
Complexity In Landscape Ecology written by David Geoffrey Green and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-22 with Science categories.
This book offers an introduction to the field of complexity and landscape ecology. It covers such topics as connectivity, criticality, feedback, and networks, as well as their impact on the stability and predictability of ecosystem dynamics.
Forests Water And People In The Humid Tropics
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Author : M. Bonell
language : en
Publisher: Cambridge University Press
Release Date : 2004
Forests Water And People In The Humid Tropics written by M. Bonell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Nature categories.
Forests, Water and People in the Humid Tropics is the most comprehensive review available of the hydrological and physiological functioning of tropical rain forests, the environmental impacts of their disturbance and conversion to other land uses, and optimum strategies for managing them. The book brings together leading specialists in such diverse fields as tropical anthropology and human geography, environmental economics, climatology and meteorology, hydrology, geomorphology, plant and aquatic ecology, forestry and conservation agronomy. The editors have supplemented the individual contributions with invaluable overviews of the main sections and provide key pointers for future research. Specialists will find authenticated detail in chapters written by experts on a whole range of people-water-land use issues, managers and practitioners will learn more about the implications of ongoing and planned forest conversion, while scientists and students will appreciate a unique review of the literature.