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Xiao-Ming Wu, Zhenguo Li, Anthony Man-Cho So, John Wright, Shih-Fu Chang. Learning with Partially Absorbing Random Walks. In Proceedings of Annual Conference on Neural Information Processing Systems (NIPS), Lake Tahoe, NV, USA, 2012.

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We propose a novel stochastic process that is with probability $\alpha_i$ being absorbed at current state $i$, and with probability $1-\alpha_i$ follows a random edge out of it. We analyze its properties and show its potential for exploring graph structures. We prove that under proper absorption rates, a random walk starting from a set $\mathcal{S}$ of low conductance will be mostly absorbed in $\mathcal{S}$. Moreover, the absorption probabilities vary slowly inside $\mathcal{S}$, while dropping sharply outside, thus implementing the desirable cluster assumption for graph-based learning. Remarkably, the partially absorbing process unifies many popular models arising in a variety of contexts, provides new insights into them, and makes it possible for transferring findings from one paradigm to another. Simulation results demonstrate its promising applications in retrieval and classification


Xiao-Ming Wu
Zhenguo Li
Shih-Fu Chang

BibTex Reference

   Author = {Wu, Xiao-Ming and Li, Zhenguo and So, Anthony Man-Cho and Wright, John and Chang, Shih-Fu},
   Title = {Learning with Partially Absorbing Random Walks},
   BookTitle = {Proceedings of Annual Conference on Neural Information Processing Systems (NIPS)},
   Address = {Lake Tahoe, NV, USA},
   Year = {2012}

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