  This paper explores the integration of symbolic logic knowledge into deep
neural networks for learning from noisy crowd labels. We introduce Logic-guided
Learning from Noisy Crowd Labels (Logic-LNCL), an EM-alike iterative logic
knowledge distillation framework that learns from both noisy labeled data and
logic rules of interest. Unlike traditional EM methods, our framework contains
a ``pseudo-E-step'' that distills from the logic rules a new type of learning
target, which is then used in the ``pseudo-M-step'' for training the
classifier. Extensive evaluations on two real-world datasets for text sentiment
classification and named entity recognition demonstrate that the proposed
framework improves the state-of-the-art and provides a new solution to learning
from noisy crowd labels.
