Title: Improving Differentiable Neural Architecture Search by Encouraging Transferability. Abstract: Differentiable neural architecture search  methods are increasingly  popular due to their computational efficiency. However, these methods have unsatisfactory generalizability and stability. Their searched    architectures  are often  degenerate with a dominant number of skip connections and perform unsatisfactorily on test data. Existing methods for solving this problem   have  a variety of limitations, such as cannot prevent the happening of architecture degeneration, being excessively restrictive in setting the number of skip connections,  etc. To address these limitations, we propose a new approach for improving the generalizability and stability of differentiable NAS, by  developing a transferability-encouraging tri-level optimization  framework  which improves the  architecture  of a main model  by encouraging  good transferability to an auxiliary model. Our framework  involves three stages performed end-to-end: 1) train network weights of  a main model; 2) transfer knowledge from the  main  model  to an auxiliary model; 3) optimize the architecture of the main model by maximizing its  transferability to the  auxiliary model. We propose a new knowledge transfer approach based on matching quadruple relative similarities.  Experiments on several datasets demonstrate the effectiveness of our method.