RockIt: Exploiting Parallelism and Symmetry for MAP Inference in Statistical Relational Models

04/16/2013
by   Jan Noessner, et al.
0

RockIt is a maximum a-posteriori (MAP) query engine for statistical relational models. MAP inference in graphical models is an optimization problem which can be compiled to integer linear programs (ILPs). We describe several advances in translating MAP queries to ILP instances and present the novel meta-algorithm cutting plane aggregation (CPA). CPA exploits local context-specific symmetries and bundles up sets of linear constraints. The resulting counting constraints lead to more compact ILPs and make the symmetry of the ground model more explicit to state-of-the-art ILP solvers. Moreover, RockIt parallelizes most parts of the MAP inference pipeline taking advantage of ubiquitous shared-memory multi-core architectures. We report on extensive experiments with Markov logic network (MLN) benchmarks showing that RockIt outperforms the state-of-the-art systems Alchemy, Markov TheBeast, and Tuffy both in terms of efficiency and quality of results.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/13/2012

Improving the Accuracy and Efficiency of MAP Inference for Markov Logic

In this work we present Cutting Plane Inference (CPI), a Maximum A Poste...
research
10/08/2016

Solving Marginal MAP Problems with NP Oracles and Parity Constraints

Arising from many applications at the intersection of decision making an...
research
06/30/2016

Contextual Symmetries in Probabilistic Graphical Models

An important approach for efficient inference in probabilistic graphical...
research
06/13/2018

MAP inference via Block-Coordinate Frank-Wolfe Algorithm

We present a new proximal bundle method for Maximum-A-Posteriori (MAP) i...
research
03/13/2023

Maximum a Posteriori Estimation in Graphical Models Using Local Linear Approximation

Sparse structure learning in high-dimensional Gaussian graphical models ...
research
03/15/2012

A Delayed Column Generation Strategy for Exact k-Bounded MAP Inference in Markov Logic Networks

The paper introduces k-bounded MAP inference, a parameterization of MAP ...
research
06/14/2016

Lifted Convex Quadratic Programming

Symmetry is the essential element of lifted inference that has recently ...

Please sign up or login with your details

Forgot password? Click here to reset