Tropical Circuit Complexity is popular PDF and ePub book, written by Stasys Jukna in 2023-12-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Tropical Circuit Complexity can be Read Online from any device for your convenience.
Tropical Circuit Complexity Book PDF Summary
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.
Detail Book of Tropical Circuit Complexity PDF
- Author : Stasys Jukna
- Release : 08 December 2023
- Publisher : Springer Nature
- ISBN : 9783031423543
- Genre : Mathematics
- Total Page : 138 pages
- Language : English
- PDF File Size : 16,7 Mb
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