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Home / Proceedings / Proceedings of the International Symposium on Combinatorial Search

Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains

February 1, 2023

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Authors

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira

Ben-Gurion University of the Negev,Ben-Gurion University of the Negev,Ben-Gurion University of the Negev,Ben-Gurion University of the Negev,Ben-Gurion University of the Negev,Ben-Gurion University of the Negev,Ben-Gurion University of the Negev


DOI:

10.1609/socs.v6i1.18354


Abstract:

Most work in heuristic search focused on path finding problems in which the cost of a path in the state space is the sum of its edges' weights. This paper addresses a different class of path finding problems in which the cost of a path is the product of its weights. We present reductions from different classes of multiplicative path finding problems to suitable classes of additive path finding problems. As a case study, we consider the problem of finding least and most probable paths in a Markov Chain, where path cost corresponds to the probability of traversing it. The importance of this problem is demonstrated in an anomaly detection application for cyberspace security. Three novel anomaly detection metrics for Markov Chains are presented, where computing these metrics require finding least and most probable paths. The underlying Markov Chain is dynamically changing, and so fast methods for computing least and most probable paths are needed. We propose such methods based on the proposed reductions and using heuristic search algorithms.

Topics: SOCS

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HOW TO CITE:

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains Proceedings of the International Symposium on Combinatorial Search (2015) 70-77.

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains SOCS 2015, 70-77.

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira (2015). Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains. Proceedings of the International Symposium on Combinatorial Search, 70-77.

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira. Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains. Proceedings of the International Symposium on Combinatorial Search 2015 p.70-77.

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira. 2015. Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains. "Proceedings of the International Symposium on Combinatorial Search". 70-77.

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira. (2015) "Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains", Proceedings of the International Symposium on Combinatorial Search, p.70-77

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira, "Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains", SOCS, p.70-77, 2015.

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira. "Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains". Proceedings of the International Symposium on Combinatorial Search, 2015, p.70-77.

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira. "Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains". Proceedings of the International Symposium on Combinatorial Search, (2015): 70-77.

Yisroel Mirsky,Aviad Cohen,Roni Stern,Ariel Felner,Lior Rokack,Yuval Elovici,Bracha Shapira. Search Problems in the Domain of Multiplication: Case Study on Anomaly Detection Using Markov Chains. SOCS[Internet]. 2015[cited 2023]; 70-77.


ISSN: 2832-9163


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