The computational power increases over the past decades have greatly enhanced the ability to simulate chemical reactions and understand ever more complex transformations. Tensor contractions are the fundamental computational building block of these simulations. These simulations have often been tied to one platform and restricted in generality by the interface provided to the user. The expanding prevalence of accelerators and researcher demands necessitate a more general approach which is not tied to specific hardware or requires contortion of algorithms to specific hardware platforms. In this paper we present COMET, a domain-specific programming language and compiler infrastructure for tensor contractions targeting heterogeneous accelerators. We present a system of progressive lowering through multiple layers of abstraction and optimization that achieves up to 1.98x speedup for 30 tensor contractions commonly used in computational chemistry and beyond.
This work presents MLIR, a novel approach to building reusable and extensible compiler infrastructure. MLIR addresses software fragmentation, compilation for heterogeneous hardware, significantly reducing the cost of building domain specific compilers, and connecting existing compilers together. MLIR facilitates the design and implementation of code generators, translators and optimizers at different levels of abstraction and across application domains, hardware targets and execution environments. The contribution of this work includes (1) discussion of MLIR as a research artifact, built for extension and evolution, while identifying the challenges and opportunities posed by this novel design, semantics, optimization specification, system, and engineering. (2) evaluation of MLIR as a generalized infrastructure that reduces the cost of building compilers-describing diverse use-cases to show research and educational opportunities for future programming languages, compilers, execution environments, and computer architecture. The paper also presents the rationale for MLIR, its original design principles, structures and semantics.
One of the major optimizations employed in deep learning frameworks is graph rewriting. Production frameworks rely on heuristics to decide if rewrite rules should be applied and in which order. Prior research has shown that one can discover more optimal tensor computation graphs if we search for a better sequence of substitutions instead of relying on heuristics. However, we observe that existing approaches for tensor graph superoptimization both in production and research frameworks apply substitutions in a sequential manner. Such sequential search methods are sensitive to the order in which the substitutions are applied and often only explore a small fragment of the exponential space of equivalent graphs. This paper presents a novel technique for tensor graph superoptimization that employs equality saturation to apply all possible substitutions at once. We show that our approach can find optimized graphs with up to 16% speedup over state-of-the-art, while spending on average 48x less time optimizing.
This work presents MLIR, a novel approach to building reusable and extensible compiler infrastructure. MLIR aims to address software fragmentation, improve compilation for heterogeneous hardware, significantly reduce the cost of building domain specific compilers, and aid in connecting existing compilers together. MLIR facilitates the design and implementation of code generators, translators and optimizers at different levels of abstraction and also across application domains, hardware targets and execution environments. The contribution of this work includes (1) discussion of MLIR as a research artifact, built for extension and evolution, and identifying the challenges and opportunities posed by this novel design point in design, semantics, optimization specification, system, and engineering. (2) evaluation of MLIR as a generalized infrastructure that reduces the cost of building compilers-describing diverse use-cases to show research and educational opportunities for future programming languages, compilers, execution environments, and computer architecture. The paper also presents the rationale for MLIR, its original design principles, structures and semantics.
Many computationally-intensive algorithms benefit from the wide parallelism offered by Graphical Processing Units (GPUs). However, the search for a close-to-optimal implementation remains extremely tedious due to the specialization and complexity of GPU architectures. We present a novel approach to automatically discover the best performing code from a given set of possible implementations. It involves a branch and bound algorithm with two distinctive features: (1) an analytic performance model of a lower bound on the execution time, and (2) the ability to estimate such bounds on a partially-specified implementation. The unique features of this performance model allow to aggressively prune the optimization space without eliminating the best performing implementation. While the space considered in this paper focuses on GPUs, the approach is generic enough to be applied to other architectures. We implemented our algorithm in a tool called Telamon and demonstrate its effectiveness on a huge, architecture-specific and input-sensitive optimization space. The information provided by the performance model also helps to identify ways to enrich the search space to consider better candidates, or to highlight architectural bottlenecks.
Graphics Processing Units have emerged as powerful accelerators for massively parallel, numerically intensive workloads. The two dominant software models for these devices are NVIDIA's CUDA and the cross-platform OpenCL standard. Until now, there has not been a fully open-source compiler targeting the CUDA environment, hampering general compiler and architecture research and making deployment difficult in datacenter or supercomputer environments. In this paper, we present gpucc, an LLVM-based, fully open-source, CUDA compatible compiler for high performance computing. It performs various general and CUDA-specific optimizations to generate high performance code. The Clang-based frontend supports modern language features such as those in C++11 and C++14. Compile time is 8% faster than NVIDIA's toolchain (nvcc) and it reduces compile time by up to 2.4x for pathological compilations (>100 secs), which tend to dominate build times in parallel build environments. Compared to nvcc, gpucc's runtime performance is on par for several open-source benchmarks, such as Rodinia (0.8% faster), SHOC (0.5% slower), or Tensor (3.7% faster). It outperforms nvcc on internal large-scale end-to-end benchmarks by up to 51.0%, with a geometric mean of 22.9%.
JavaScript is the dominant language for implementing dynamic web pages in browsers. Even though it is standardized, many browsers implement language and browser bindings in different and incompatible ways. As a result, a plethora of web development frameworks were developed to hide cross-browser issues and to ease development of large web applications. An unwelcome side-effect of these frameworks is that they can introduce memory leaks, despite the fact that JavaScript is garbage collected. Memory bloat is a major issue for web applications, as it affects user perceived latency and may even prevent large web applications from running on devices with limited resources. In this paper we present JSWhiz, an extension to the open-source Closure JavaScript compiler. Based on experiences analyzing memory leaks in Gmail, JSWhiz detects five identified common problem patterns. JSWhiz found a total of 89 memory leaks across Google’s Gmail, Docs, Spreadsheets, Books, and Closure itself. It contributed significantly in a recent effort to reduce Gmail memory footprint, which resulted in bloat reduction of 75% at the 99th percentile, and by roughly 50% at the median.
JavaScript is the dominant language for implementing dynamic web pages in browsers. Even though it is standardized, many browsers implement language and browser bindings in different and incompatible ways. As a result, a plethora of web development frameworks were developed to hide cross-browser issues and to ease development of large web applications. An unwelcome side-effect of these frameworks is that they can introduce memory leaks, despite the fact that JavaScript is garbage collected. Memory bloat is a major issue for web applications, as it affects user perceived latency and may even prevent large web applications from running on devices with limited resources. In this paper we present JSWhiz, an extension to the open-source Closure JavaScript compiler. Based on experiences analyzing memory leaks in Gmail, JSWhiz detects five identified common problem patterns. JSWhiz found a total of 89 memory leaks across Google's Gmail, Docs, Spread-sheets, Books, and Closure itself. It contributed significantly in a recent effort to reduce Gmail memory footprint, which resulted in bloat reduction of 75% at the 99th percentile, and by roughly 50% at the median.
Pipelining is a well-known approach to increasing parallelism and performance. We address the problem of software pipelining for heterogeneous parallel platforms that consist of different multi-core and many-core processing units. In this context, pipelining involves two key steps -- partitioning an application into stages and mapping and scheduling the stages onto the processing units of the heterogeneous platform. We show that the inter-dependency between these steps is a critical challenge that must be addressed in order to achieve high performance. We propose an Automatic Heterogeneous Pipelining framework (AHP) that generates an optimized pipelined implementation of a program from an annotated unpipelined specification. Across three complex applications (image classification, object detection, and document retrieval) and two heterogeneous platforms (Intel Xeon multi-core CPUs with Intel MIC and NVIDIA GPGPU accelerators), AHP achieves a throughput improvement of up to 1.53x (1.37x on average) over a heterogeneous baseline that exploits data and task parallelism.
We present a runtime framework for the execution of work-loads represented as parallel-operator directed acyclic graphs (PO-DAGs) on heterogeneous multi-core platforms. PO-DAGs combine coarse-grained parallelism at the graph level with fine-grained parallelism within each node, lending naturally to exploiting the intra --- and inter-processing element parallelism present in heterogeneous platforms. We identify four important criteria - Suitability, Locality, Availability and Criticality (SLAC) --- and show that all these criteria must be considered by a heterogeneous runtime framework in order to achieve good performance under varying application and platform characteristics. The proposed model driven runtime (MDR) considers all the aforementioned factors, and tradeoffs among them, by utilizing performance models. These performance models are used to drive key run-time decisions such as mapping of tasks to PEs, scheduling of tasks on each PE, and copying data between memory spaces. We discuss the software architecture and implementation of MDR, and evaluate it using several benchmark programs on three different heterogeneous platforms that contain multi-core CPUs and GPUs. The hardware platforms represent server, laptop, and netbook class systems. MDR achieves up to 4.2X speedup (1.5X on average) over the best of CPU-only, GPU-only, round-robin, GPU-first, and utilization-driven schedulers. We also perform a sensitivity analysis that establishes the importance of considering all four SLAC criteria in order to achieve high performance execution in a heterogeneous runtime framework.
Probability and statistics with R By Maria Dolores Ugarte, Ana F. Militino, and Alan Arnholt, Boca Raton, Chapman & Hall/CRC Press, 2008, xxvi + 728 pp., £46.99 or US$89.95 (hardback), ISBN 1584888...
A bilingual dictionary or word list is an important resource for many purposes, among them, machine translation. For many language pairs these are either non-existent, or very often unavailable owing to licensing restrictions. We describe a simple, fast and computa- tionally inexpensive method for extracting bilingual dictionary entries from Wikipedia (using the interwiki link system) and assess the performance of this method with respect to four language pairs. Precision was found to be in the 69-92% region, but open to improvement.
Synchronisation errors, that is, the insertion of additional or deletion of valid symbols, are the most difficult class of errors to correct - containing the class of additive errors as a subset. A regenerating algorithm, the core of a channel demodulator, was developed for a class of synchronisation error correcting codes. This class of synchronisation error correcting codes is a generalisation of the code originally developed by R.R. Varshamov and G.M. Tenengolts. In this article two designs are provided for a regenerator of this general class of synchronisation error correcting codes. This design has been successfully implemented and tested on a general purpose computer (GPC) and a field programmable gated array (FPGA).