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Biochemical and histologic data have validated the technique of delayed gadolinium-enhanced MRI, in which the T(1) values of cartilage after penetration of Gd(DTPA)2-allow assessment of the glycosaminoglycan (GAG) component of articular cartilage. This work describes the factors that have been found to be important for the practical implementation of the(More)
The freedom to reorder computations involving associative operators has been widely recognized and exploited in designing parallel algorithms and to a more limited extent in optimizing compilers. In this paper, we develop a novel framework utilizing the associativity and commutativity of operations in regular loop computations to enhance register reuse.(More)
Tensor contractions are extremely compute intensive generalized matrix multiplication operations encountered in many computational science fields, such as quantum chemistry and nuclear physics. Unlike distributed matrix multiplication, which has been extensively studied, limited work has been done in understanding distributed tensor contractions. In this(More)
Stencil computations are at the core of applications in many domains such as computational electromagnetics, image processing, and partial differential equation solvers used in a variety of scientific and engineering applications. Short-vector SIMD instruction sets such as SSE and VMX provide a promising and widely available avenue for enhancing performance(More)
Data locality and parallelism are critical optimization objectives for performance on modern multi-core machines. Both coarse-grain parallelism (e.g., multi-core) and fine-grain parallelism (e.g., vector SIMD) must be effectively exploited, but despite decades of progress at both ends, current compiler optimization schemes that attempt to address data(More)
In this paper, we describe a model-driven compile-time code generator that transforms a class of tensor contraction expressions into highly optimized short-vector SIMD code. We use as a case study a multi-resolution tensor kernel from the MADNESS quantum chemistry application. Performance of a C-based implementation is low, and because the dimensions of the(More)
In this paper, we introduce the Dynamic Load-balanced Tensor Contractions (DLTC), a domain-specific library for efficient task parallel execution of tensor contraction expressions, a class of computation encountered in quantum chemistry and physics. Our framework decomposes each contraction into smaller unit of tasks, represented by an abstraction referred(More)
Automatic vectorization is critical to enhancing performance of compute-intensive programs on modern processors. However, there is much room for improvement over the auto-vectorization capabilities of current production compilers through careful vector-code synthesis that utilizes a variety of loop transformations (e.g., unroll-and-jam, interchange, etc.).(More)
Tensor contractions represent the most compute- intensive core kernels in ab initio computational quantum chemistry and nuclear physics. Symmetries in these tensor contractions make them difficult to load balance and scale to large distributed systems. In this paper, we develop an efficient and scalable algorithm to contract symmetric tensors. We introduce(More)
We demonstrate in this work the potential effectiveness of a source-to-source framework for automatically optimizing a sub-class of affine programs on the Intel Many Integrated Core Architecture. Data locality is achieved through complex and automated loop transformations within the polyhedral framework to enable parallel tiling, and the resulting tiles are(More)