4 papers
Riemannian Optimization on Relaxed Indicator Matrix Manifold
Jinghui Yuan, Fangyuan Xie, Feiping Nie +1
The indicator matrix plays an important role in machine learning, but optimizing it is an NP-hard problem. We propose a new relaxation of the indicator matrix and prove that this r…
Dual-Bounded Nonlinear Optimal Transport for Size Constrained Min Cut Clustering
Fangyuan Xie, Jinghui Yuan, Feiping Nie +1
Min cut is an important graph partitioning method. However, current solutions to the min cut problem suffer from slow speeds, difficulty in solving, and often converge to simple so…
PRformer: Pyramidal Recurrent Transformer for Multivariate Time Series Forecasting
Yongbo Yu, Weizhong Yu, Feiping Nie +1
The self-attention mechanism in Transformer architecture, invariant to sequence order, necessitates positional embeddings to encode temporal order in time series prediction. We arg…
Adaptive Fuzzy C-Means with Graph Embedding
Qiang Chen, Weizhong Yu, Feiping Nie +1
Fuzzy clustering algorithms can be roughly categorized into two main groups: Fuzzy C-Means (FCM) based methods and mixture model based methods. However, for almost all existing FCM…