Theoretically Efficient Parallel Graph Algorithms Can Be Fast and Scalable

There has been significant recent interest in parallel graph processing due to the need to quickly analyze the large graphs available today. Many graph codes have been designed for distributed memory or external memory. However, today even the largest publicly-available real-world graph (the Hyperlink Web graph with over 3.5 billion vertices and 128 billion edges) can fit in the memory of a single commodity multicore server. Nevertheless, most experimental work in the literature report results on much smaller graphs, and the ones for the Hyperlink graph use distributed or external memory. Therefore, it is natural to ask whether we can efficiently solve a broad class of graph problems on this graph in memory. This paper shows that theoretically-efficient parallel graph algorithms can scale to the largest publicly-available graphs using a single machine with a terabyte of RAM, processing them in minutes. We give implementations of theoretically-efficient parallel algorithms for 20 important graph problems. We also present the optimizations and techniques that we used in our implementations, which were crucial in enabling us to process these large graphs quickly. We show that the running times of our implementations outperform existing state-of-the-art implementations on the largest real-world graphs. For many of the problems that we consider, this is the first time they have been solved on graphs at this scale. We have made the implementations developed in this work publicly-available as the Graph-Based Benchmark Suite (GBBS).Comment: This is the full version of the paper appearing in the ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), 201

On the design of architecture-aware algorithms for emerging applications

This dissertation maps various kernels and applications to a spectrum of programming models and architectures and also presents architecture-aware algorithms for different systems. The kernels and applications discussed in this dissertation have widely varying computational characteristics. For example, we consider both dense numerical computations and sparse graph algorithms. This dissertation also covers emerging applications from image processing, complex network analysis, and computational biology. We map these problems to diverse multicore processors and manycore accelerators. We also use new programming models (such as Transactional Memory, MapReduce, and Intel TBB) to address the performance and productivity challenges in the problems. Our experiences highlight the importance of mapping applications to appropriate programming models and architectures. We also find several limitations of current system software and architectures and directions to improve those. The discussion focuses on system software and architectural support for nested irregular parallelism, Transactional Memory, and hybrid data transfer mechanisms. We believe that the complexity of parallel programming can be significantly reduced via collaborative efforts among researchers and practitioners from different domains. This dissertation participates in the efforts by providing benchmarks and suggestions to improve system software and architectures.Ph.D.Committee Chair: Bader, David; Committee Member: Hong, Bo; Committee Member: Riley, George; Committee Member: Vuduc, Richard; Committee Member: Wills, Scot

Effective data parallel computing on multicore processors

The rise of chip multiprocessing or the integration of multiple general purpose processing cores on a single chip (multicores), has impacted all computing platforms including high performance, servers, desktops, mobile, and embedded processors. Programmers can no longer expect continued increases in software performance without developing parallel, memory hierarchy friendly software that can effectively exploit the chip level multiprocessing paradigm of multicores. The goal of this dissertation is to demonstrate a design process for data parallel problems that starts with a sequential algorithm and ends with a high performance implementation on a multicore platform. Our design process combines theoretical algorithm analysis with practical optimization techniques. Our target multicores are quad-core processors from Intel and the eight-SPE IBM Cell B.E. Target applications include Matrix Multiplications (MM), Finite Difference Time Domain (FDTD), LU Decomposition (LUD), and Power Flow Solver based on Gauss-Seidel (PFS-GS) algorithms. These applications are popular computation methods in science and engineering problems and are characterized by unit-stride (MM, LUD, and PFS-GS) or 2-point stencil (FDTD) memory access pattern. The main contributions of this dissertation include a cache- and space-efficient algorithm model, integrated data pre-fetching and caching strategies, and in-core optimization techniques. Our multicore efficient implementations of the above described applications outperform nai¨ve parallel implementations by at least 2x and scales well with problem size and with the number of processing cores

Dynamic re-optimization techniques for stream processing engines and object stores

Large scale data storage and processing systems are strongly motivated by the need to store and analyze massive datasets. The complexity of a large class of these systems is rooted in their distributed nature, extreme scale, need for real-time response, and streaming nature. The use of these systems on multi-tenant, cloud environments with potential resource interference necessitates fine-grained monitoring and control. In this dissertation, we present efficient, dynamic techniques for re-optimizing stream-processing systems and transactional object-storage systems.^ In the context of stream-processing systems, we present VAYU, a per-topology controller. VAYU uses novel methods and protocols for dynamic, network-aware tuple-routing in the dataflow. We show that the feedback-driven controller in VAYU helps achieve high pipeline throughput over long execution periods, as it dynamically detects and diagnoses any pipeline-bottlenecks. We present novel heuristics to optimize overlays for group communication operations in the streaming model.^ In the context of object-storage systems, we present M-Lock, a novel lock-localization service for distributed transaction protocols on scale-out object stores to increase transaction throughput. Lock localization refers to dynamic migration and partitioning of locks across nodes in the scale-out store to reduce cross-partition acquisition of locks. The service leverages the observed object-access patterns to achieve lock-clustering and deliver high performance. We also present TransMR, a framework that uses distributed, transactional object stores to orchestrate and execute asynchronous components in amorphous data-parallel applications on scale-out architectures

Efficient Scheduling and High-Performance Graph Partitioning on Heterogeneous CPU-GPU Systems

Heterogeneous CPU-GPU systems have emerged as a power-efficient platform for high performance parallelization of the applications. However, effectively exploiting these architectures faces a number of challenges including differences in the programming models of the CPU (MIMD) and the GPU (SIMD), GPU memory constraints, and comparatively low communication bandwidth between the CPU and GPU. As a consequence, high performance execution of applications on these platforms requires designing new adaptive parallelizing methods. In this thesis, first we explore embarrassingly parallel applications where tasks have no inter-dependencies. Although the massive processing power of GPUs provides an attractive opportunity for high-performance execution of embarrassingly parallel tasks on CPU-GPU systems, minimized execution time can only be obtained by optimally distributing the tasks between the processors. In contemporary CPU-GPU systems, the scheduler cannot decide about the appropriate rate distribution. Hence it requires high programming effort to manually divide the tasks among the processors. Herein, we design and implement a new dynamic scheduling heuristic to minimize the execution time of embarrassingly parallel applications on a heterogeneous CPU-GPU system. The scheduler is integrated into a scheduling framework that provides pre-implemented automated scheduling modules, liberating the user from the complexities of scheduling details. The experimental results show that our scheduling approach achieves better to similar performance compared to some of the scheduling algorithms proposed for CPU-GPU systems. We then investigate task dependent applications, where the tasks have data dependencies. The computational tasks and their communication patterns are expressed by a task interaction graph. Scheduling of the task interaction graph on a cluster can be done by first partitioning the graph into a set of computationally balanced partitions in such a way that the communication cost among the partitions is minimized, and subsequently mapping the partitions onto physical processors. Aside from scheduling, graph partitioning is a common computation phase in many application domains, including social network analysis, data mining, and VLSI design. However, irregular and data-dependent graph partitioning sub-tasks pose multiple challenges for efficient GPU utilization, which favors regularity. We design and implement a multilevel graph partitioner on a heterogeneous CPU-GPU system that takes advantage of the high parallel processing power of GPUs by executing the computation-intensive parts of the partitioning sub-tasks on the GPU and assigning the parts with less parallelism to the CPU. Our partitioner aims to overcome some of the challenges arising due to the irregular nature of the algorithm, and memory constraints on GPUs. We present a lock-free scheme since fine-grained synchronization among thousands of GPU threads imposes too high a performance overhead. Experimental results demonstrate that our partitioner outperforms serial and parallel MPI-based partitioners. It performs similar to shared-memory CPU-based parallel graph partitioner. To optimize the graph partitioner performance, we describe an effective and methodological approach to enable a GPU-based multi-level graph partitioning that is tailored specifically for the SIMD architecture. Our solution avoids thread divergence and balances the load over GPU threads by dynamically assigning an appropriate number of threads to process the graph vertices and irregular sized neighbors. Our optimized design is autonomous as all the steps are carried out by the GPU with minimal CPU interference. We show that this design outperforms CPU-based parallel graph partitioner. Finally, we apply some of our partitioning techniques to another graph processing algorithm, minimum spanning tree (MST), that exhibits load imbalance characteristics. We show that extending these techniques helps in achieving a high performance implementation of MST on the GPU

Modeling Algorithm Performance on Highly-threaded Many-core Architectures

The rapid growth of data processing required in various arenas of computation over the past decades necessitates extensive use of parallel computing engines. Among those, highly-threaded many-core machines, such as GPUs have become increasingly popular for accelerating a diverse range of data-intensive applications. They feature a large number of hardware threads with low-overhead context switches to hide the memory access latencies and therefore provide high computational throughput. However, understanding and harnessing such machines places great challenges on algorithm designers and performance tuners due to the complex interaction of threads and hierarchical memory subsystems of these machines. The achieved performance jointly depends on the parallelism exploited by the algorithm, the effectiveness of latency hiding, and the utilization of multiprocessors (occupancy). Contemporary work tries to model the performance of GPUs from various aspects with different emphasis and granularity. However, no model considers all of these factors together at the same time. This dissertation presents an analytical framework that jointly addresses parallelism, latency-hiding, and occupancy for both theoretical and empirical performance analysis of algorithms on highly-threaded many-core machines so that it can guide both algorithm design and performance tuning. In particular, this framework not only helps to explore and reduce the runtime configuration space for tuning kernel execution on GPUs, but also reflects performance bottlenecks and predicts how the runtime will trend as the problem and other parameters scale. The framework consists of a pair of analytical models with one focusing on higher-level asymptotic algorithm performance on GPUs and the other one emphasizing lower-level details about scheduling and runtime configuration. Based on the two models, we have conducted extensive analysis of a large set of algorithms. Two analysis provides interesting results and explains previously unexplained data. In addition, the two models are further bridged and combined as a consistent framework. The framework is able to provide an end-to-end methodology for algorithm design, evaluation, comparison, implementation, and prediction of real runtime on GPUs fairly accurately. To demonstrate the viability of our methods, the models are validated through data from implementations of a variety of classic algorithms, including hashing, Bloom filters, all-pairs shortest path, matrix multiplication, FFT, merge sort, list ranking, string matching via suffix tree/array, etc. We evaluate the models\u27 performance across a wide spectrum of parameters, data values, and machines. The results indicate that the models can be effectively used for algorithm performance analysis and runtime prediction on highly-threaded many-core machines

Algorithms and Software for the Analysis of Large Complex Networks

The work presented intersects three main areas, namely graph algorithmics, network science and applied software engineering. Each computational method discussed relates to one of the main tasks of data analysis: to extract structural features from network data, such as methods for community detection; or to transform network data, such as methods to sparsify a network and reduce its size while keeping essential properties; or to realistically model networks through generative models

Fast algorithm for real-time rings reconstruction

The GAP project is dedicated to study the application of GPU in several contexts in which real-time response is important to take decisions. The definition of real-time depends on the application under study, ranging from answer time of μs up to several hours in case of very computing intensive task. During this conference we presented our work in low level triggers [1] [2] and high level triggers [3] in high energy physics experiments, and specific application for nuclear magnetic resonance (NMR) [4] [5] and cone-beam CT [6]. Apart from the study of dedicated solution to decrease the latency due to data transport and preparation, the computing algorithms play an essential role in any GPU application. In this contribution, we show an original algorithm developed for triggers application, to accelerate the ring reconstruction in RICH detector when it is not possible to have seeds for reconstruction from external trackers