22,622 research outputs found
Subgraph Pattern Matching over Uncertain Graphs with Identity Linkage Uncertainty
There is a growing need for methods which can capture uncertainties and
answer queries over graph-structured data. Two common types of uncertainty are
uncertainty over the attribute values of nodes and uncertainty over the
existence of edges. In this paper, we combine those with identity uncertainty.
Identity uncertainty represents uncertainty over the mapping from objects
mentioned in the data, or references, to the underlying real-world entities. We
propose the notion of a probabilistic entity graph (PEG), a probabilistic graph
model that defines a distribution over possible graphs at the entity level. The
model takes into account node attribute uncertainty, edge existence
uncertainty, and identity uncertainty, and thus enables us to systematically
reason about all three types of uncertainties in a uniform manner. We introduce
a general framework for constructing a PEG given uncertain data at the
reference level and develop highly efficient algorithms to answer subgraph
pattern matching queries in this setting. Our algorithms are based on two novel
ideas: context-aware path indexing and reduction by join-candidates, which
drastically reduce the query search space. A comprehensive experimental
evaluation shows that our approach outperforms baseline implementations by
orders of magnitude
Graphulo Implementation of Server-Side Sparse Matrix Multiply in the Accumulo Database
The Apache Accumulo database excels at distributed storage and indexing and
is ideally suited for storing graph data. Many big data analytics compute on
graph data and persist their results back to the database. These graph
calculations are often best performed inside the database server. The GraphBLAS
standard provides a compact and efficient basis for a wide range of graph
applications through a small number of sparse matrix operations. In this
article, we implement GraphBLAS sparse matrix multiplication server-side by
leveraging Accumulo's native, high-performance iterators. We compare the
mathematics and performance of inner and outer product implementations, and
show how an outer product implementation achieves optimal performance near
Accumulo's peak write rate. We offer our work as a core component to the
Graphulo library that will deliver matrix math primitives for graph analytics
within Accumulo.Comment: To be presented at IEEE HPEC 2015: http://www.ieee-hpec.org
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