Differentiable Rule Induction from Raw Sequence Inputs
Existing differentiable inductive logic programming (ILP) approaches struggle to learn symbolic rules directly from raw continuous data—such as time-series or images—primarily due to the explicit label leakage problem: without supervision from feature-level labels, they cannot reliably map continuous inputs to symbolic variables. This work proposes an end-to-end neuro-symbolic framework that integrates self-supervised differentiable clustering with a novel differentiable ILP formulation, enabling direct learning of interpretable symbolic rules from raw data without requiring explicit labels. By circumventing the label leakage bottleneck for the first time, the method preserves rule interpretability while substantially improving generalization and applicability. Experiments on both temporal and visual tasks demonstrate its ability to discover accurate and intuitively meaningful symbolic rules.