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Conditional Independence and Linear Programming

Af: Kentaro Tanaka Engelsk Paperback

Conditional Independence and Linear Programming

Af: Kentaro Tanaka Engelsk Paperback
Tjek vores konkurrenters priser
​This book is the first to be devoted to the fusion between statistical causal inference and mathematical programming. The main purpose of the book is to provide the algorithms for solving the implication problem of conditional independence statements by using a computer. The concept of conditional independence is very much tied to the factorization of graphical models; hence it is very important to know the rules of conditional independence. Beginning with a brief introduction to linear programming, the book introduces the algebraic representations of conditional independence statements and their applications using linear programming methods. Through simple examples, it is shown that there are at least two different types of linear programming formulations for the implication problem. The first one is based on the concept of supermodular functions. Another is based on the fact that unnecessary information about the factorization of the probability distribution can be removed. This book also provides a detailed explanation of how to implement the solutions for the implication problem of conditional independence statements in R.
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​This book is the first to be devoted to the fusion between statistical causal inference and mathematical programming. The main purpose of the book is to provide the algorithms for solving the implication problem of conditional independence statements by using a computer. The concept of conditional independence is very much tied to the factorization of graphical models; hence it is very important to know the rules of conditional independence. Beginning with a brief introduction to linear programming, the book introduces the algebraic representations of conditional independence statements and their applications using linear programming methods. Through simple examples, it is shown that there are at least two different types of linear programming formulations for the implication problem. The first one is based on the concept of supermodular functions. Another is based on the fact that unnecessary information about the factorization of the probability distribution can be removed. This book also provides a detailed explanation of how to implement the solutions for the implication problem of conditional independence statements in R.
Produktdetaljer
Sprog: Engelsk
Sider: 46
ISBN-13: 9784431552789
Indbinding: Paperback
Udgave:
ISBN-10: 4431552782
Udg. Dato: 21 feb 2024
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Verlag, Japan
Oplagsdato: 21 feb 2024
Forfatter(e): Kentaro Tanaka
Forfatter(e) Kentaro Tanaka


Kategori Lineær programmering


ISBN-13 9784431552789


Sprog Engelsk


Indbinding Paperback


Sider 46


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 21 feb 2024


Oplagsdato 21 feb 2024


Forlag Springer Verlag, Japan

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