The increasing complexity of real-world machine learning applications, such as autonomous
systems, medical diagnostics, and natural language processing, demands models that can
operate reliably in environments characterized by uncertainty, data scarcity, and noisy or
ambiguous inputs. Traditional machine learning approaches, which rely on large, clean,
well-labeled datasets, often fail when faced with ambiguous inputs, limited labeled data, or
abundant but unlabeled data, leading to unreliable predictions and poor generalization.
This thesis addresses these critical challenges by developing robust learning frameworks that
enhance the uncertainty handling, adaptability, reliability, and performance of models in
such challenging environments. First, the Hyper-Evidential Neural Network (HENN) is
introduced to model vagueness uncertainty in classification tasks with composite class labels.
By leveraging Subjective Logic and Dirichlet distributions, HENN quantifies uncertainty and
improves decision-making in ambiguous data scenarios, such as medical diagnostics. Second,
NestedMAML, a nested bi-level optimization framework, is proposed to improve robustness
in corrupted few-shot learning with noisy and out-of-distribution tasks or instances. By
weighting tasks and instances during meta-training, NestedMAML reduces the influence of
noisy or irrelevant tasks and instances, improving robustness to distributional shifts and label
noise during meta-training, ensuring better generalization. Third, a semi-supervised meta-
learning framework, Platinum, is presented to leverage Submodular Mutual Information
(SMI) functions to select the most informative unlabeled data during meta-training in inner
and outer loops, ensuring that the model can leverage large amounts of unlabeled data while
minimizing the impact of noise, leading to better generalization in diverse tasks, even when
only a few labeled examples are available. These contributions provide a comprehensive
approach to tackle vagueness uncertainty, data scarcity, and noisy inputs in machine learning,
advancing methods for robust and adaptive learning in real-world applications
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