A novel dimensionality reduction algorithm named nonlocal and multiple neighborhoods preserving embedding (NoMNPE) is proposed for modeling and monitoring industrial processes. The NoMNPE method implements dimensionality reduction by maximizing the variance scattered by nonlocal data points, while simultaneously preserving multiple neighborhoods relationships, which include time neighbors, distance neighbors, and angle neighbors for a given dataset. Therefore, three different manifold characteristics and one additional nonlocal relationship are taken into account in the NoMNPE model. The NoMNPE thus is expected to explore more intrinsic information in contrast to its counterparts, and could achieve enhanced monitoring performance as a result. The comparison studies on two industrial processes have also demonstrated the effectiveness and advantages of the proposed NoMNPE-based process monitoring approach. (C) 2017 Elsevier Ltd. All rights reserved.