Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
review-article
Public Access

Unifying logical and statistical AI with Markov logic

Published: 24 June 2019 Publication History

Abstract

Markov logic can be used as a general framework for joining logical and statistical AI.

References

[1]
Bach, S., Broecheler, M., Huang, B., Getoor, L. Hinge-loss Markov random fields and probabilistic soft logic. J. Mach. Learn. Res. 18, 109 (2017), 1--67.
[2]
Chavira, M., Darwiche, A. On probabilistic inference by weighted model counting. Artif. Intell. 6--7, 172 (2008), 772--799.
[3]
Davis, J., Domingos, P. Deep transfer via second-order Markov logic. In Proceedings of the 26<sup>th</sup> International Conference on Machine Learning. ACM Press, Montréal, Canada.
[4]
De Raedt, L. Logical and Relational Learning. Springer, Berlin, Germany, 2008.
[5]
Van den Broeck, G., Taghipour, N., Meert, W., Davis, J., De Raedt, L. Lifted probabilistic inference by first-order knowledge compilation. In Proceedings of the 22<sup>nd</sup> International Joint Conference on Artificial Intelligence (IJCAI) (2011). Barcelona, Spain.
[6]
Domingos, P., Kersting, K., Mooney, R., Shavlik, J. What about statistical relational learning? Commun. ACM 58, 12 (2015), 8.
[7]
Domingos, P., Lowd, D. Markov Logic: An Interface Layer for AI. Morgan & Claypool, San Rafael, CA, 2009.
[8]
Gogate, V., Domingos, P. Probabilistic theorem proving. In Proceedings of the 27<sup>th</sup> Conference on Uncertainty in Artificial Intelligence (UAI-11). AUAI Press, Barcelona, Spain, 2011.
[9]
Goodfellow, I., Bengio, Y., Courville, A. Deep Learning. MIT Press, 2016. http://www.deeplearningbook.org.
[10]
Van Haaren, J., Van den Broeck, G., Meert, W., Davis, J. Lifted generative learning of Markov logic networks. Mach. Learn, 103 (2015), 27--55.
[11]
Huynh, T., Mooney, R. Discriminative structure and parameter learning for Markov logic networks. In Proceedings of the 25<sup>th</sup> International Conference on Machine Learning (2008). ACM Press, Helsinki, Finland, 416--423.
[12]
Jiang, S., Lowd, D., Dou, D. Ontology matching with knowledge rules. In Proceedings of the 26th International Conference on Database and Expert Systems Applications (DEXA 2015) (2015). Springer, Valencia, Spain.
[13]
Khot, T., Natarajan, S., Kersting, K., Shavlik, J. Gradient-based boosting for statistical relational learning: the Markov logic network and missing data cases. Mach. Learn, 100 (2015), 75--100.
[14]
Kimmig, A., Mihalkova, L., Getoor, L. Lifted graphical models: a survey. Mach. Learn. (1), 99 (2015), 1--45.
[15]
Kok, S., Domingos, P. Learning the structure of Markov logic networks. In Proceedings of the 22<sup>nd</sup> International Conference on Machine Learning (2005). ACM Press, Bonn, Germany, 441--448.
[16]
Kok, S., Domingos, P. Learning Markov logic networks using structural motifs. In Proceedings of the 27<sup>th</sup> International Conference on Machine Learning (2010). ACM Press, Haifa, Israel.
[17]
Kok, S., Sumner, M., Richardson, M., Singla, P., Poon, H., Lowd, D., Domingos, P. The Alchemy system for statistical relational AI. Technical Report. Department of Computer Science and Engineering, University of Washington, Seattle, WA, 2000. http://alchemy.cs.washington.edu.
[18]
Lowd, D., Domingos, P. Efficient weight learning for Markov logic networks. In Proceedings of the 11<sup>th</sup> European Conference on Principles and Practice of Knowledge Discovery in Databases (2007). Springer, Warsaw, Poland, 200--211.
[19]
Lowd, D., Domingos, P. Recursive random fields. In Proceedings of the 20<sup>th</sup> International Joint Conference on Artificial Intelligence (2007). AAAI Press, Hyderabad, India, 950--955.
[20]
Mihalkova, L., Huynh, T., Mooney, R.J. Mapping and revising Markov logic networks for transfer learning. In Proceedings of the 22<sup>nd</sup> AAAI Conference on Artificial Intelligence (2007). AAAI Press, Vancouver Canada, 608--614.
[21]
Mihalkova, L., Mooney, R. Bottom-up learning of Markov logic network structure. In Proceedings of the 24<sup>th</sup> International Conference on Machine Learning (2007). ACM Press, Corvallis, OR, 625--632.
[22]
Nath, A., Domingos, P. A language for relational decision theory. In Proceedings of the International Workshop on Statistical Relational Learning (2009). Leuven, Belgium.
[23]
Niepert, M., Meilicke, C., Stuckenschmidt, H. A probabilistic-logical framework for ontology matching. In Proceedings of the 24<sup>th</sup> AAAI Conference on Artificial Intelligence (2010). AAAI Press.
[24]
Niepert, M., Domingos, P. Learning and inference in tractable probabilistic knowledge bases. In Proceedings of the 31<sup>st</sup> Conference on Uncertainty in Artificial Intelligence (2015). AUAI Press, Brussels, Belgium.
[25]
Niu, F., Ré, C., Doan, A., Shavlik, J. Tuffy: scaling up statistical inference in Markov logic networks using an RDBMS. PVLDB 4 (2011), 373--384.
[26]
Niu, F., Zhang, C., Ré, C., Shavlik, J. DeepDive: web-scale knowledge-base construction using statistical learning and inference. In VLDS, 2012.
[27]
Noessner, J., Niepert, M., Stuckenschmidt, H. RockIt: exploiting parallelism and symmetry for MAP inference in statistical relational models. In Proceedings of the 27<sup>th</sup> AAAI Conference on Artificial Intelligence (2013). AAAI Press, Bellevue, WA.
[28]
Pfeffer, A. Practical Probabilistic Programming. Manning Publications, 2016
[29]
Poole, D. First-order probabilistic inference. In Proceedings of the 18<sup>th</sup> International Joint Conference on Artificial Intelligence (2003). Morgan Kaufmann, Acapulco, Mexico, 985--991.
[30]
Poon, H., Domingos, P. Joint inference in information extraction. In Proceedings of the 22<sup>nd</sup> AAAI Conference on Artificial Intelligence (2007). AAAI Press, Vancouver, Canada, 913--918.
[31]
Poon, H., Domingos, P. Unsupervised semantic parsing. In Proceedings of the 2009 Conference on Empirical Methods in Natural Language Processing (2009). ACL, Singapore.
[32]
Richardson, M., Domingos, P. Markov logic networks. Mach. Learn. 62 (2006), 107--136.
[33]
Riedel, S. Improving the accuracy and efficiency of MAP inference for Markov logic. In Proceedings of the 24<sup>th</sup> Conference on Uncertainty in Artificial Intelligence (2008). AUAI Press, Helsinki, Finland, 468--475.
[34]
Russell, S. Unifying logic and probability. Commun. ACM 58, 7 (2015), 88--97.
[35]
Schulte, O., Gholami, S. Locally consistent Bayesian network scores for multi-relational data. In Proceedings of the 26<sup>th</sup> International Joint Conference on Artificial Intelligence (IJCAI-17) (2017). Melbourne, Australia, 2693--2700.
[36]
Singla, P., Domingos, P. Markov logic in infinite domains. In Proceedings of the 23<sup>rd</sup> Conference on Uncertainty in Artificial Intelligence (2007). AUAI Press, Vancouver, Canada, 368--375.
[37]
Wang, J., Domingos, P. Hybrid Markov logic networks. In Proceedings of the 23<sup>rd</sup> AAAI Conference on Artificial Intelligence (2008). AAAI Press, Chicago, IL, 1106--1111.
[38]
Xiang, R., Neville, J. Relational learning with one network: An asymptotic analysis. In Proceedings of the 14<sup>th</sup> International Conference on Artificial Intelligence and Statistics (2011). 779--788.
[39]
Kok, S. and Domingos, P. Extracting semantic networks from text via relational clustering. In Proceedings of ECML/PKDD-08 (Antwerp, Belgium, Sept. 2008). Springer, 624--639.

Cited By

View all
  • (2024)Zero-shot Image Classification with Logic Adapter and Rule PromptProceedings of the ACM Web Conference 202410.1145/3589334.3645554(2075-2084)Online publication date: 13-May-2024
  • (2023)Learning to reason about contextual knowledge for planning under uncertaintyProceedings of the Thirty-Ninth Conference on Uncertainty in Artificial Intelligence10.5555/3625834.3625878(465-475)Online publication date: 31-Jul-2023
  • (2023)NeoMaPyProceedings of the Thirty-Second International Joint Conference on Artificial Intelligence10.24963/ijcai.2023/831(7123-7126)Online publication date: 19-Aug-2023
  • Show More Cited By

Recommendations

Comments

Information & Contributors

Information

Published In

cover image Communications of the ACM
Communications of the ACM  Volume 62, Issue 7
July 2019
87 pages
ISSN:0001-0782
EISSN:1557-7317
DOI:10.1145/3342113
Issue’s Table of Contents
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 24 June 2019
Published in CACM Volume 62, Issue 7

Permissions

Request permissions for this article.

Check for updates

Qualifiers

  • Review-article
  • Popular
  • Refereed

Funding Sources

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)728
  • Downloads (Last 6 weeks)78
Reflects downloads up to 04 Oct 2024

Other Metrics

Citations

Cited By

View all
  • (2024)Zero-shot Image Classification with Logic Adapter and Rule PromptProceedings of the ACM Web Conference 202410.1145/3589334.3645554(2075-2084)Online publication date: 13-May-2024
  • (2023)Learning to reason about contextual knowledge for planning under uncertaintyProceedings of the Thirty-Ninth Conference on Uncertainty in Artificial Intelligence10.5555/3625834.3625878(465-475)Online publication date: 31-Jul-2023
  • (2023)NeoMaPyProceedings of the Thirty-Second International Joint Conference on Artificial Intelligence10.24963/ijcai.2023/831(7123-7126)Online publication date: 19-Aug-2023
  • (2023)MLN4KB: an efficient Markov logic network engine for large-scale knowledge bases and structured logic rulesProceedings of the ACM Web Conference 202310.1145/3543507.3583248(2423-2432)Online publication date: 30-Apr-2023
  • (2023)A Hybrid Driving Decision-Making System Integrating Markov Logic Networks and Connectionist AIIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2022.322712224:3(3514-3527)Online publication date: 1-Mar-2023
  • (2023)CARE: Certifiably Robust Learning with Reasoning via Variational Inference2023 IEEE Conference on Secure and Trustworthy Machine Learning (SaTML)10.1109/SaTML54575.2023.00043(554-574)Online publication date: Feb-2023
  • (2023)Efficient Inference of Markov Logic Network for Link Prediction2023 IEEE 12th Global Conference on Consumer Electronics (GCCE)10.1109/GCCE59613.2023.10315508(352-353)Online publication date: 10-Oct-2023
  • (2023)A survey on neural-symbolic learning systemsNeural Networks10.1016/j.neunet.2023.06.028166(105-126)Online publication date: Sep-2023
  • (2022)Swift Markov Logic for Probabilistic Reasoning on Knowledge GraphsTheory and Practice of Logic Programming10.1017/S1471068422000412(1-28)Online publication date: 9-Nov-2022
  • (2021)Categorical Artificial Intelligence: The Integration of Symbolic and Statistical AI for Verifiable, Ethical, and Trustworthy AIArtificial General Intelligence10.1007/978-3-030-93758-4_14(127-138)Online publication date: 15-Oct-2021
  • Show More Cited By

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Digital Edition

View this article in digital edition.

Digital Edition

Magazine Site

View this article on the magazine site (external)

Magazine Site

Get Access

Login options

Full Access

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media