<Purdue 대학교 임동석 교수님 초청 강연 안내>

1. 연사: Purdue 대학교 임동석 교수님

2. 주제 : Statistical Matching via Schrödinger Bridge beyond Conditional Independence

3. 날짜: 2026년 5월 15일(금) 16:00

4. 장소: 사이언스홀(자1-100)

5. 발표초록 :

Statistical matching combines partially overlapping datasets that share covariates XX X but observe the target Y and auxiliary variables Z separately. Classical approaches typically invoke the conditional independence assumption (CIA), which makes the problem identifiable but fundamentally implies that the imported auxiliary variable provides no additional predictive power for Y once X is known. To capture this latent Y–Z dependence, we propose a novel dependency-aware Schrödinger bridge for predictive statistical matching. Our approach couples the two separated databases by tilting the conservative CIA baseline with a transportation-based compatibility cost, recovering an informative joint distribution. The resulting statistical learning framework yields full probabilistic posterior rules for bidirectional imputation. Theoretically, we establish a sufficient condition under which the learned bridge strictly improves over the CIA baseline, alongside an exact joint recovery guarantee in the Gaussian setting under an appropriate cost.