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The problem of Knowledge Base Completion can be framed as a 3rd-order binary tensor completion problem.
The expression of a tensor or a polyadic as a sum of products
Hitchcock, F. L · 1927
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Fast maximum margin matrix factorization for collaborative prediction
Rennie, J. D. and Srebro, N · 2005
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Maximum-margin matrix factorization
Srebro, N., Rennie, J., and Jaakkola, T. S · 2005
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Exact matrix completion via convex optimization
Candès, E. J. and Recht, B · 2009
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Tensor decompositions and applications
Kolda, T. G. and Bader, B. W · 2009
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Matrix factorization techniques for recommender systems
Koren, Y., Bell, R., and Volinsky, C · 2009
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A singular value thresholding algorithm for matrix completion
Cai, J.-F., Candès, E. J., and Shen, Z · 2010
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A simple algorithm for nuclear norm regularized problems
Jaggi, M., Sulovsk, M., and others · 2010
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Collaborative filtering in a non-uniform world: Learning with the weighted trace norm
Srebro, N. and Salakhutdinov, R. R · 2010
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Estimation of low-rank tensors via convex optimization
Tomioka, R., Hayashi, K., and Kashima, H · 2010
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Learning structured embeddings of knowledge bases
Bordes, A., Weston, J., Collobert, R., and Bengio, Y · 2011
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Adaptive subgradient methods for online learning and stochastic optimization
Duchi, J., Hazan, E., and Singer, Y · 2011
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Learning with the weighted trace-norm under arbitrary sampling distributions
Foygel, R., Shamir, O., Srebro, N., and Salakhutdinov, R. R · 2011
Cited alongside, same era.
Random walk inference and learning in a large scale knowledge base
Lao, N., Mitchell, T., and Cohen, W. W · 2011
Cited alongside, same era.
A three-way model for collective learning on multi-relational data
Nickel, M., Tresp, V., and Kriegel, H.-P · 2011
Cited alongside, same era.
Restricted strong convexity and weighted matrix completion: Optimal bounds with noise
Negahban, S. and Wainwright, M. J · 2012
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Translating Embeddings for Modeling Multi-relational Data
Bordes, A., Usunier, N., Garcia-Duran, A., Weston, J., and Yakhnenko, O · 2013
Cited alongside, same era.
A semantic matching energy function for learning with multi-relational data
Bordes, A., Glorot, X., Weston, J., and Bengio, Y · 2014
Observed versus latent features for knowledge base and text inference
Toutanova, K. and Chen, D · 2015
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Scalable and sound low-rank tensor learning
Cheng, H., Yu, Y., Zhang, X., Xing, E., and Schuurmans, D · 2016
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Combining two and three-way embedding models for link prediction in knowledge bases
Garcia-Duran, A., Bordes, A., Usunier, N., and Grandvalet, Y · 2016
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Implicit reasonet: Modeling large-scale structured relationships with shared memory
Shen, Y., Huang, P.-S., Chang, M.-W., and Gao, J · 2016
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Complex embeddings for simple link prediction
Trouillon, T., Welbl, J., Riedel, S., Gaussier, E., and Bouchard, G · 2016
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Adam: A method for stochastic optimization
Kingma, D. P. and Ba, J · 2014
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Multitask learning meets tensor factorization: task imputation via convex optimization
Wimalawarne, K., Sugiyama, M., and Tomioka, R · 2014
Cited alongside, same era.
Embedding entities and relations for learning and inference in knowledge bases
Yang, B., Yih, W.-t., He, X., Gao, J., and Deng, L · 2014
Cited alongside, same era.
Semantically Invariant Tensor Factorization
Bailly, R., Bordes, A., and Usunier, N · 2015
Cited alongside, same era.
Traversing knowledge graphs in vector space
Guu, K., Miller, J., and Liang, P · 2015
Cited alongside, same era.
Type-constrained representation learning in knowledge graphs
Krompass, D., Baier, S., and Tresp, V · 2015
Cited alongside, same era.
Yuan, M. and Zhang, C.-H · 2016
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Convolutional 2d knowledge graph embeddings
Dettmers, T., Minervini, P., Stenetorp, P., and Riedel, S · 2017
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Fast linear model for knowledge graph embeddings
Joulin, A., Grave, E., Bojanowski, P., Nickel, M., and Mikolov, T · 2017
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Knowledge Base Completion: Baselines Strike Back
Kadlec, R., Bajgar, O., and Kleindienst, J · 2017
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Transt: Type-based multiple embedding representations for knowledge graph completion
Ma, S., Ding, J., Jia, W., Wang, K., and Guo, M · 2017
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An overview of embedding models of entities and relationships for knowledge base completion
Nguyen, D. Q · 2017
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Nuclear norm of higher-order tensors
Friedland, S. and Lim, L.-H · 2018
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