Keywords: DTI,Transfer Learning
TL;DR: We develop a spectral decomposition of the DTI-DA transfer operator, providing insights into the modes of information transfer between domains.
Abstract: Predicting drug-target interactions (DTIs) is essential for advancing drug discovery. This paper presents a unified mathematical framework for unsupervised domain adaptation in drug-target interaction (DTI) prediction, integrating measure theory, functional analysis, information geometry, and optimal transport theory. We introduce the novel concept of DTI-Wasserstein distance, incorporating both structural and chemical similarities of drugs and targets, and establish a refined bound on the difference between source and target risks. Our information-geometric perspective reveals the intrinsic structure of the DTI model space, characterizing optimal adaptation paths as geodesics on a statistical manifold equipped with the Fisher-Rao metric. We develop a spectral decomposition of the DTI-DA transfer operator, providing insights into the modes of information transfer between domains. This leads to the introduction of DTI-spectral embedding and DTI-spectral mutual information, allowing for a more nuanced understanding of the adaptation process. Theoretical contributions include refined bounds on DTI-DA performance, incorporating task-specific considerations and spectral properties of the feature space. We prove the existence of an optimal transport map for DTI-DA and derive a novel information-theoretic lower bound using DTI-mutual information. Empirical evaluations demonstrate the superiority of our approach over existing methods across multiple benchmark datasets, showcasing its ability to effectively leverage data from diverse sources for improved DTI prediction.
Primary Area: transfer learning, meta learning, and lifelong learning
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Submission Number: 13658
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