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**Instructor: | **Instructor: | ||
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Description: | Description: | ||
+ | ** Course outline ** | ||
+ | - Belief functions on finite frames | ||
+ | - Decision analysis | ||
+ | - Evidential k-NN classifier | ||
+ | - Evidential neural network classifier | ||
+ | - Predictive belief functions for categorical and ordinal variables | ||
+ | - Random sets and belief functions in a general mathematical framework | ||
+ | - Possibility theory and epistemic random fuzzy sets | ||
+ | - Statistical prediction using belief functions: application to linear and logistic regression | ||
+ | - The ENNreg model | ||
+ | - Uncertain data and the evidential EM algorithm | ||
**Slides** | **Slides** | ||
- | - {{ :en:bf_cmu_2019_chapter1.pdf |Basic notions}} | + | - {{ :en:bf2023_lecture1.pdf |Belief functions on finite frames. Dempster' |
- | - {{ :en:bf_cmu_2019_chapter2.pdf |Decision-making}} | + | - {{ :en:bf2023_lecture2.pdf |Decision |
- | - {{ :en:bf_cmu_2019_chapter3.pdf |Statistical inference}} | + | |
+ | - {{ :en:bf2023_lecture4.pdf |Statistical inference}} | ||
+ | |||
+ | |||
+ | **Exercises** | ||
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**Papers** | **Papers** | ||
- | - T. Denoeux. A k-nearest neighbor classification rule based on Dempster-Shafer theory. IEEE Transactions on Systems, Man and Cybernetics, | + | - T. Denoeux. A k-nearest neighbor classification rule based on Dempster-Shafer theory. IEEE Transactions on Systems, Man and Cybernetics, |
- T. Denoeux. A neural network classifier based on Dempster-Shafer theory. IEEE Transactions on Systems, Man and Cybernetics A, 30(2): | - T. Denoeux. A neural network classifier based on Dempster-Shafer theory. IEEE Transactions on Systems, Man and Cybernetics A, 30(2): | ||
- | - T. Denoeux, S. Sriboonchitta and O. Kanjanatarakul. Evidential clustering | + | - T. Denoeux. |
- | - T. Denoeux. | + | - O. Kanjanatarakul, |
- | - T. Denoeux. | + | - Thierry |
- | - Thierry | + | - T. Denoeux. |
- | + | - T. Denoeux. Maximum likelihood estimation from Uncertain Data in the Belief Function Framework. IEEE Transactions on Knowledge and Data Engineering, | |
- | **Solution of exercises** | + | - B. Quost, T. Denoeux and S. Li. Parametric Classification with Soft Labels using the Evidential EM Algorithm. Linear Discriminant Analysis vs. Logistic Regression. Advances in Data Analysis and Classification, |
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- | - {{ :en:inference.r.zip |Statistical inference}} | + | |
**Data** | **Data** | ||
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