Learning Supervised PageRank with Gradient-Based and Gradient-Free Optimization Methods
Lev Bogolubsky · Pavel Dvurechenskii · Alexander Gasnikov · Gleb Gusev · Yurii Nesterov · Andrei M Raigorodskii · Aleksey Tikhonov · Maksim Zhukovskii
Keywords:
(Other) Probabilistic Models and Methods
(Other) Optimization
Stochastic Methods
Graph-based Learning
Ranking and Preference Learning
(Application) Information Retrieval
2016 Poster
Abstract
In this paper, we consider a non-convex loss-minimization problem of learning Supervised PageRank models, which can account for features of nodes and edges. We propose gradient-based and random gradient-free methods to solve this problem. Our algorithms are based on the concept of an inexact oracle and unlike the state-of-the-art gradient-based method we manage to provide theoretically the convergence rate guarantees for both of them. Finally, we compare the performance of the proposed optimization methods with the state of the art applied to a ranking task.
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