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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence

Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations

February 1, 2023

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Authors

Wei Xing

University of Utah


Shireen Elhabian

University of Utah


Robert Kirby

University of Utah


Ross T. Whitaker

University of Utah


Shandian Zhe

University of Utah


DOI:

10.1609/aaai.v34i04.6118


Abstract:

Learning compact representations for shapes (binary images) is important for many applications. Although neural network models are very powerful, they usually involve many parameters, require substantial tuning efforts and easily overfit small datasets, which are common in shape-related applications. The state-of-the-art approach, ShapeOdds, as a latent Gaussian model, can effectively prevent overfitting and is more robust. Nonetheless, it relies on a linear projection assumption and is incapable of capturing intrinsic nonlinear shape variations, hence may leading to inferior representations and structure discovery. To address these issues, we propose Infinite ShapeOdds (InfShapeOdds), a Bayesian nonparametric shape model, which is flexible enough to capture complex shape variations and discover hidden cluster structures, while still avoiding overfitting. Specifically, we use matrix Gaussian priors, nonlinear feature mappings and the kernel trick to generalize ShapeOdds to a shape-variate Gaussian process model, which can grasp various nonlinear correlations among the pixels within and across (different) shapes. To further discover the hidden structures in data, we place a Dirichlet process mixture (DPM) prior over the representations to jointly infer the cluster number and memberships. Finally, we exploit the Kronecker-product structure in our model to develop an efficient, truncated variational expectation-maximization algorithm for model estimation. On synthetic and real-world data, we show the advantage of our method in both representation learning and latent structure discovery.

Topics: AAAI

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HOW TO CITE:

Wei Xing||Shireen Elhabian||Robert Kirby||Ross T. Whitaker||Shandian Zhe Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations Proceedings of the AAAI Conference on Artificial Intelligence (2020) 6462-6469.

Wei Xing||Shireen Elhabian||Robert Kirby||Ross T. Whitaker||Shandian Zhe Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations AAAI 2020, 6462-6469.

Wei Xing||Shireen Elhabian||Robert Kirby||Ross T. Whitaker||Shandian Zhe (2020). Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations. Proceedings of the AAAI Conference on Artificial Intelligence, 6462-6469.

Wei Xing||Shireen Elhabian||Robert Kirby||Ross T. Whitaker||Shandian Zhe. Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations. Proceedings of the AAAI Conference on Artificial Intelligence 2020 p.6462-6469.

Wei Xing||Shireen Elhabian||Robert Kirby||Ross T. Whitaker||Shandian Zhe. 2020. Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations. "Proceedings of the AAAI Conference on Artificial Intelligence". 6462-6469.

Wei Xing||Shireen Elhabian||Robert Kirby||Ross T. Whitaker||Shandian Zhe. (2020) "Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations", Proceedings of the AAAI Conference on Artificial Intelligence, p.6462-6469

Wei Xing||Shireen Elhabian||Robert Kirby||Ross T. Whitaker||Shandian Zhe, "Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations", AAAI, p.6462-6469, 2020.

Wei Xing||Shireen Elhabian||Robert Kirby||Ross T. Whitaker||Shandian Zhe. "Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations". Proceedings of the AAAI Conference on Artificial Intelligence, 2020, p.6462-6469.

Wei Xing||Shireen Elhabian||Robert Kirby||Ross T. Whitaker||Shandian Zhe. "Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations". Proceedings of the AAAI Conference on Artificial Intelligence, (2020): 6462-6469.

Wei Xing||Shireen Elhabian||Robert Kirby||Ross T. Whitaker||Shandian Zhe. Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations. AAAI[Internet]. 2020[cited 2023]; 6462-6469.


ISSN: 2374-3468


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