seminars:stat:may22024
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| + | Traditional classification rules offer single-label predictions without confidence levels, which can be problematic in critical domains. In contrast, set-valued classification yields cautious decisions by reporting a set of possible labels to handle the inherited uncertainties in ambiguous instances. | ||
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| + | In the first part, we introduce the Generalized Prediction Set (GPS) to tackle the OOD detection task with a theoretical guarantee. However, GPS's reliance on computationally intensive quadratic programming limits its scalability. Thus, we propose the Deep Generalized Prediction Set (DeepGPS) method by fusing the deep neural network and a kernel machine, which scales better and provides improved performance on both OOD detection and informative prediction. | ||
| + | In the second part, we propose Bandit Class-specific Conformal Prediction (BCCP) in bandit feedback settings, which achieves the set-valued prediction by utilizing an unbiased estimation for the ground truth. To overcome its shortcomings in OOD detection tasks, we introduce the Bandit Generalized Prediction Set (BanditGPS) by incorporating the idea from BCCP and the first works in this dissertation. The algorithms designed in both approaches lead to a $\mathcal{O}(T^{-1/ | ||
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