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PLD: A Choice-Theoretic List-Wise Knowledge Distillation

2025/06/14 by Ejafa Bassam, Bassam, Ejafa, Dawei Zhu +3
Business, Management and Accounting · Computer Science · #Artificial Intelligence (cs.AI) #Computer Vision and Pattern Recognition (cs.CV) #Customer churn and segmentation #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Semantic Web and Ontologies #Service-Oriented Architecture and Web Services

paper · pdf · doi:10.48550/arxiv.2506.12542

openalex publication_date 2025/06/14 · openalex created_date 2025/10/18 · openalex updated_date 2026/07/28

Abstract

Knowledge distillation is a model compression technique in which a compact "student" network is trained to replicate the predictive behavior of a larger "teacher" network. In logit-based knowledge distillation, it has become the de facto approach to augment cross-entropy with a distillation term. Typically, this term is either a KL divergence that matches marginal probabilities or a correlation-based loss that captures intra- and inter-class relationships. In every case, it acts as an additional term to cross-entropy. This term has its own weight, which must be carefully tuned. In this paper, we adopt a choice-theoretic perspective and recast knowledge distillation under the Plackett-Luce model by interpreting teacher logits as "worth" scores. We introduce "Plackett-Luce Distillation (PLD)", a weighted list-wise ranking loss. In PLD, the teacher model transfers knowledge of its full ranking of classes, weighting each ranked choice by its own confidence. PLD directly optimizes a single "teacher-optimal" ranking. The true label is placed first, followed by the remaining classes in descending teacher confidence. This process yields a convex and translation-invariant surrogate that subsumes weighted cross-entropy. Empirically, across CIFAR-100, ImageNet-1K, and MS-COCO, PLD achieves consistent gains across diverse architectures and distillation objectives, including divergence-based, correlation-based, and feature-based methods, in both homogeneous and heterogeneous teacher-student pairs.

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