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Measuring Statistical Dependence with Hilbert-Schmidt Norms
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An Information-Maximization Approach to Blind Separation and Blind Deconvolution
Bell, A. J., & Sejnowski, T. J. (1995) · Neural Computation · doi:10.1162/neco.1995.7.6.1129 · Cited by 8,986
A Probabilistic Theory of Pattern Recognition
Devroye, L., Györfi, L., & Lugosi, G. (1996) · Stochastic Modelling and Applied Probability · doi:10.1007/978-1-4612-0711-5 · Cited by 3,274
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Zhuang, F., Qi, Z., Duan, K., Xi, D., Zhu, Y., Zhu, H., Xiong, H., & He, Q. (2021) · Proceedings of the IEEE · doi:10.1109/jproc.2020.3004555 · Cited by 6,678
(2012) · MPG.PuRe (Max Planck Society) · doi:10.5555/2188385.2188410 · Cited by 3,603
A Kernel Method for the Two-Sample-Problem
Gretton, A., Borgwardt, K. M., Rasch, M., Schölkopf, B., & Smola, A. J. (2007) · Advances in Neural Information Processing Systems 19 · doi:10.7551/mitpress/7503.003.0069 · Cited by 2,167
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Scholkopf, B., Locatello, F., Bauer, S., Ke, N. R., Kalchbrenner, N., Goyal, A., & Bengio, Y. (2021) · Proceedings of the IEEE · doi:10.1109/jproc.2021.3058954 · Cited by 1,170
Equivalence of distance-based and RKHS-based statistics in hypothesis testing
Sejdinovic, D., Sriperumbudur, B., Gretton, A., & Fukumizu, K. (2013) · The Annals of Statistics · doi:10.1214/13-aos1140 · Cited by 582
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Chatterjee, S. (2021) · Journal of the American Statistical Association · doi:10.1080/01621459.2020.1758115 · Cited by 374
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Tsai, Y.-H. H., Liang, P. P., Zadeh, A., Morency, L.-P., & Salakhutdinov, R. (2018) · arXiv · doi:10.48550/arxiv.1806.06176 · Cited by 323
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Zhang, L., & Gao, X. (2024) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2022.3183326 · Cited by 314
Causal discovery and inference: concepts and recent methodological advances
Spirtes, P., & Zhang, K. (2016) · Applied Informatics · doi:10.1186/s40535-016-0018-x · Cited by 304
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Molnar, C., König, G., Herbinger, J., Freiesleben, T., Dandl, S., Scholbeck, C. A., Casalicchio, G., Grosse-Wentrup, M., & Bischl, B. (2022) · Lecture Notes in Computer Science · doi:10.1007/978-3-031-04083-2_4 · Cited by 211
FairTest: Discovering Unwarranted Associations in Data-Driven Applications
Tramer, F., Atlidakis, V., Geambasu, R., Hsu, D., Hubaux, J.-P., Humbert, M., Juels, A., & Lin, H. (2017) · 2017 IEEE European Symposium on Security and Privacy (EuroS&P) · doi:10.1109/eurosp.2017.29 · Cited by 171
FairTest: Discovering Unwarranted Associations in Data-Driven Applications
Tramèr, F., Atlidakis, V., Geambasu, R., Hsu, D., Hubaux, J.-P., Humbert, M., Juels, A., & Lin, H. (2015) · arXiv · doi:10.48550/arxiv.1510.02377 · Cited by 171
A goal-driven modular neural network predicts parietofrontal neural dynamics during grasping
Michaels, J. A., Schaffelhofer, S., Agudelo-Toro, A., & Scherberger, H. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2005087117 · Cited by 103
Learning sparse nonparametric DAGs.
Zheng, X., Dan, C., Aragam, B., Ravikumar, P., & Xing, E. P. (2019) · arXiv · doi:10.48550/arxiv.1909.13189 · Cited by 103
Incomplete multi-modal representation learning for Alzheimer’s disease diagnosis
Liu, Y., Fan, L., Zhang, C., Zhou, T., Xiao, Z., Geng, L., & Shen, D. (2021) · Medical Image Analysis · doi:10.1016/j.media.2020.101953 · Cited by 102
Sunlight: Fine-grained Targeting Detection at Scale with Statistical Confidence
Lecuyer, M., Spahn, R., Spiliopolous, Y., Chaintreau, A., Geambasu, R., & Hsu, D. (2015) · Proceedings of the 22nd ACM SIGSAC Conference on Computer and Communications Security · doi:10.1145/2810103.2813614 · Cited by 48
Quality-Agnostic Deepfake Detection with Intra-model Collaborative Learning
Le, B. M., & Woo, S. S. (2023) · 2023 IEEE/CVF International Conference on Computer Vision (ICCV) · doi:10.1109/iccv51070.2023.02045 · Cited by 36
The Platonic Representation Hypothesis
Huh, M., Cheung, B., Wang, T., & Isola, P. (2024) · arXiv · doi:10.48550/arxiv.2405.07987 · Cited by 35
“Using an inner-product kernel, the ij -th entry of the centered counterpart of these Kernel matrices is: Then, the cross-covariance of K and L is given by: which serves as an empirical estimator of the Hilbert-Schmidt Independence Criterion (Gretton et al., 2005).”
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Hou, Z., & Kung, S.-Y. (2022) · 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW) · doi:10.1109/cvprw56347.2022.00411 · Cited by 20
Plischke, E., & Borgonovo, E. (2020) · Risk Analysis · doi:10.1111/risa.13571 · Cited by 15
Do Vision and Language Encoders Represent the World Similarly?
Maniparambil, M., Akshulakov, R., Dahou Djilali, Y. A., Seddik, M. E. A., Narayan, S., Mangalam, K., & O'Connor, N. E. (2024) · 2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) · doi:10.1109/cvpr52733.2024.01359 · Cited by 7
Conditional Memory via Scalable Lookup: A New Axis of Sparsity for Large Language Models
Cheng, X., Zeng, W., Dai, D., Chen, Q., Wang, B., Xie, Z., Huang, K., Yu, X., Hao, Z., Zhang, H., et al. (2026) · Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers) · doi:10.18653/v1/2026.acl-long.226 · Cited by 3
Metadata
- Authors
- Gretton, A., Bousquet, O., Smola, A., & Schölkopf, B.
- Venue
- Lecture Notes in Computer Science
- Publisher
- Springer Berlin Heidelberg
- Published
- 2005
- Pages
- 63-77
- ISSN
- 0302-9743 (ISSN-L)
- 1611-3349
- OpenAlex
- W1638081485
- Cited by
- 1,560
- References
- 2
- FWCI
- 12.77
- Type
- conference paper
- Language
- en
- Open access
- closed
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