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Sparse within Sparse Gaussian Processes using Neighbor Information
Gia-Lac Tran · Dimitrios Milios · Pietro Michiardi · Maurizio Filippone

Thu Jul 22 05:30 AM -- 05:35 AM (PDT) @

Approximations to Gaussian processes (GPs) based on inducing variables, combined with variational inference techniques, enable state-of-the-art sparse approaches to infer GPs at scale through mini-batch based learning. In this work, we further push the limits of scalability of sparse GPs by allowing large number of inducing variables without imposing a special structure on the inducing inputs. In particular, we introduce a novel hierarchical prior, which imposes sparsity on the set of inducing variables. We treat our model variationally, and we experimentally show considerable computational gains compared to standard sparse GPs when sparsity on the inducing variables is realized considering the nearest inducing inputs of a random mini-batch of the data. We perform an extensive experimental validation that demonstrates the effectiveness of our approach compared to the state-of-the-art. Our approach enables the possibility to use sparse GPs using a large number of inducing points without incurring a prohibitive computational cost.

Author Information

Gia-Lac Tran (EURECOM)
Dimitrios Milios (EURECOM)
Pietro Michiardi (EURECOM)

Pietro Michiardi received his M.S. in Computer Science from EURECOM and his M.S. in Electrical Engineering from Politecnico di Torino. Pietro received his Ph.D. in Computer Science from Telecom ParisTech (former ENST, Paris), and his HDR (Habilitation) from UNSA. Today, Pietro is a Professor of Computer Science at EURECOM, where he leads the Distributed System Group, which blends theory and system research focusing on large-scale distributed systems (including data processing and data storage), and scalable algorithm design to mine massive amounts of data. Additional research interests are on system, algorithmic, and performance evaluation aspects of distributed systems. Pietro has been appointed as Data Science department head in May 2016.

Maurizio Filippone (Eurecom)

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