A Query Processing Framework for Array-Based Computations

Current scientific applications must analyze enormous amounts of array data using complex mathematical data processing methods. This paper describes a distributed query processing framework for large-scale scientific data analysis that captures array-based computations using SQL-like queries and optimizes and evaluates these computations using state-of-the-art parallel processing algorithms. Instead of providing a library of concrete distributed algorithms that implement certain matrix operations efficiently, we generalize these algorithms by making them parametric in such a way that the same efficient implementations that apply to the concrete algorithms can also apply to their generic counterparts. By specifying matrix operations as generic algebraic operators, we are able to perform inter-operator optimizations, such as fusing matrix transpose with matrix multiplication, resulting to new instantiations of the generic algebraic operators, without having to introduce new efficient algorithms on the fly. We evaluate the effectiveness of our framework by measuring the performance improvement of matrix factorization when evaluated with inter-operator optimization.