3560059
Reproducible Floating-Point Aggregation in RDBMSs
Industry-grade database systems are expected to produce the same result if the same query is repeatedly run on the same input. However, the numerous sources of non-determinism in modern systems make reproducible results difficult to achieve. This is particularly true if floating-point numbers are involved, where the order of the operations affects the final result. As part of a larger effort to extend database engines with data representations more suitable for machine learning and scientific applications, in this paper we explore the problem of making relational GroupBy over floating-point formats bit-reproducible, i.e., ensuring any execution of the operator produces the same result up to every single bit. To that aim, we first propose a numeric data type that can be used as drop-in replacement for other number formats and is—unlike standard floating-point formats—associative. We use this data type to make state-of-the-art GroupBy operators reproducible, but this approach incurs a slowdown between 4x and 12x compared to the same operator using conventional database number formats. We thus explore how to modify existing GroupBy algorithms to make them bit-reproducible and efficient. By using vectorized summation on batches and carefully balancing batch size, cache footprint, and preprocessing costs, we are able to reduce the slowdown due to reproducibility to a factor between 1.9x and 2.4x of aggregation in isolation and to a mere 2.7% of end-to-end query performance even on aggregation-intensive queries in MonetDB. We thereby provide a solid basis for supporting more reproducible operations directly in relational engines.
12825262
Accountability in Algorithmic Decision-making
Every fiscal quarter automated writing algorithms churn out thousands of corporate earnings articles for the AP (Associated Press) based on little more than structured data. Companies such as Automated Insights, which produces the articles for AP, and Narrative Science can now write straight news articles in almost any domain that has clean and well-structured data: finance, sure, but also sports, weather, and education, among others. The articles aren’t cardboard either; they have variability, tone, and style, and in some cases readers even have difficulty distinguishing the machine-produced articles from human-written ones.
51802561
Algorithmic Transparency in the News Media
The growing use of difficult-to-parse algorithmic systems in the production of news, from algorithmic curation to automated writing and news bots, problematizes the normative turn toward transparency as a key tenet of journalism ethics. Pragmatic guidelines that facilitate algorithmic transparency are needed. This research presents a focus group study that engaged 50 participants across the news media and academia to discuss case studies of algorithms in news production and elucidate factors that are amenable to disclosure. Results indicate numerous opportunities to disclose information about an algorithmic system across layers such as the data, model, inference, and interface. Findings underscore the deeply entwined roles of human actors in such systems as well as challenges to adoption of algorithmic transparency including the dearth of incentives for organizations and the concern for overwhelming end-users with a surfeit of transparency information.
7201965
Internally deterministic parallel algorithms can be fast
The virtues of deterministic parallelism have been argued for decades and many forms of deterministic parallelism have been described and analyzed. Here we are concerned with one of the strongest forms, requiring that for any input there is a unique dependence graph representing a trace of the computation annotated with every operation and value. This has been referred to as internal determinism, and implies a sequential semantics---i.e., considering any sequential traversal of the dependence graph is sufficient for analyzing the correctness of the code. In addition to returning deterministic results, internal determinism has many advantages including ease of reasoning about the code, ease of verifying correctness, ease of debugging, ease of defining invariants, ease of defining good coverage for testing, and ease of formally, informally and experimentally reasoning about performance. On the other hand one needs to consider the possible downsides of determinism, which might include making algorithms (i) more complicated, unnatural or special purpose and/or (ii) slower or less scalable.
 In this paper we study the effectiveness of this strong form of determinism through a broad set of benchmark problems. Our main contribution is to demonstrate that for this wide body of problems, there exist efficient internally deterministic algorithms, and moreover that these algorithms are natural to reason about and not complicated to code. We leverage an approach to determinism suggested by Steele (1990), which is to use nested parallelism with commutative operations. Our algorithms apply several diverse programming paradigms that fit within the model including (i) a strict functional style (no shared state among concurrent operations), (ii) an approach we refer to as deterministic reservations, and (iii) the use of commutative, linearizable operations on data structures. We describe algorithms for the benchmark problems that use these deterministic approaches and present performance results on a 32-core machine. Perhaps surprisingly, for all problems, our internally deterministic algorithms achieve good speedup and good performance even relative to prior nondeterministic solutions.
17604448
Determinism and Reproducibility in Large-Scale HPC Systems
The ability to reproduce simulation results (external determinism) goes a long way towards enhancing the trustworthiness of high performance computing simulations. The ability to replay schedules (internal determinism) greatly facilitates reproducing bugs, and helps reduce wasted programmer productivity. In this paper, we consider these issues in the context of software libraries and APIs used in today’s mainstream high performance computing (HPC) systems as well as expected to be used in upcoming high-end systems. After cataloging the main sources of external and internal nondeterminism, we summarize two thrusts in our current research: (1) mechanisms to control internal nondeterminism by active schedule control, and (2) techniques that may help assess the extent of result nondeterminism in floating point calculations.
780345
BlinkDB: queries with bounded errors and bounded response times on very large data
In this paper, we present BlinkDB, a massively parallel, approximate query engine for running interactive SQL queries on large volumes of data. BlinkDB allows users to trade-off query accuracy for response time, enabling interactive queries over massive data by running queries on data samples and presenting results annotated with meaningful error bars. To achieve this, BlinkDB uses two key ideas: (1) an adaptive optimization framework that builds and maintains a set of multi-dimensional stratified samples from original data over time, and (2) a dynamic sample selection strategy that selects an appropriately sized sample based on a query's accuracy or response time requirements. We evaluate BlinkDB against the well-known TPC-H benchmarks and a real-world analytic workload derived from Conviva Inc., a company that manages video distribution over the Internet. Our experiments on a 100 node cluster show that BlinkDB can answer queries on up to 17 TBs of data in less than 2 seconds (over 200 x faster than Hive), within an error of 2-10%.
15643652
Designing Bit-Reproducible Portable High-Performance Applications
Bit-reproducibility has many advantages in the context of high-performance computing. Besides simplifying and making more accurate the process of debugging and testing the code, it can allow the deployment of applications on heterogeneous systems, maintaining the consistency of the computations. In this work we analyze the basic operations performed by scientific applications and identify the possible sources of non-reproducibility. In particular, we consider the tasks of evaluating transcendental functions and performing reductions using non-associative operators. We present a set of techniques to achieve reproducibility and we propose improvements over existing algorithms to perform reproducible computations in a portable way, at the same time obtaining good performance and accuracy. By applying these techniques to more complex tasks we show that bit-reproducibility can be achieved on a broad range of scientific applications.
31372566
In-memory parallel join processing on multi-core processors
During the last few years, there have been radical changes in the hardware landscape. Intel’s co-founder Gordon E. Moore’s famous conjecture that the number of transistors on integrated circuits doubles roughly every two years still holds today. However, multi-core processors caused a paradigm shift in hardware where increasing number of transistors are invested in parallelism and advanced features on chip designs. The game-changing technological trends constitute the driving force behind how new data processing systems and algorithms should be designed and tailored today. The architectural changes introduced with multi-core processors have triggered a redesign of main-memory join algorithms for relational database systems. Join processing in database systems is a complex and a demanding operation. Traditionally, there have been sorting and hashing based approaches for implementing joins. However, in the last few years several diverging views have appeared regarding how to design and implement main-memory joins on multi-core processors. On the one hand, there are two camps on how to implement main-memory hash joins on multi-core. Hardware-oblivious hash join variants do not depend on hardware-specific parameters. Rather, they consider qualitative characteristics of modern hardware and are expected to achieve good performance on any technologically similar platform. The assumption that these algorithms make is that hardware has now become good enough at hiding its own limitations—through automatic hardware prefetching, out-of-order execution or simultaneous multithreading (SMT)—to make hardware-oblivious algorithms competitive without the overhead of carefully tuning to the underlying hardware. Hardware-conscious implementations, such as (parallel) radix join, aim to maximally exploit a given architecture by tuning the algorithm parameters (e.g., hash table sizes) to the particular features of that architecture. The assumption here is that explicit parameter tuning yields enough performance advantages to warrant the effort required. The thesis compares the two approaches for hash joins under a wide range of workloads (relative table sizes, tuple sizes, effects of sorted data, etc.) and configuration parameters (VM page sizes, number of threads, number of cores, SMT,
9853518
Fast Reproducible Floating-Point Summation
Reproducibility, i.e. getting the bitwise identical floating point results from multiple runs of the same program, is a property that many users depend on either for debugging or correctness checking in many codes [1]. However, the combination of dynamic scheduling of parallel computing resources, and floating point nonassociativity, make attaining reproducibility a challenge even for simple reduction operations like computing the sum of a vector of numbers in parallel. We propose a technique for floating point summation that is reproducible independent of the order of summation. Our technique uses Rump's algorithm for error-free vector transformation [2], and is much more efficient than using (possibly very) high precision arithmetic. Our algorithm trades off efficiency and accuracy: we reproducibly attain reasonably accurate results (with an absolute error bound c · n2 · macheps · max |vi| for a small constant c) with just 2n + O(1) floating-point operations, and quite accurate results (with an absolute error bound c · n3 · macheps2 · max |vi| with 5n + O(1) floating point operations, both with just two reduction operations. Higher accuracies are also possible by increasing the number of error-free transformations. As long as the same rounding mode is used, results computed by the proposed algorithms are reproducible for any run on any platform.
259337
Parallel Reproducible Summation
Reproducibility, i.e. getting bitwise identical floating point results from multiple runs of the same program, is a property that many users depend on either for debugging or correctness checking in many codes [10]. However, the combination of dynamic scheduling of parallel computing resources, and floating point nonassociativity, makes attaining reproducibility a challenge even for simple reduction operations like computing the sum of a vector of numbers in parallel. We propose a technique for floating point summation that is reproducible independent of the order of summation. Our technique uses Rump's algorithm for error-free vector transformation [7], and is much more efficient than using (possibly very) high precision arithmetic. Our algorithm reproducibly computes highly accurate results with an absolute error bound of n · 2-28 macheps maxiIviI at a cost of 7n FLOPs and a small constant amount of extra memory usage. Higher accuracies are also possible by increasing the number of error-free transformations. As long as all operations are performed in to-nearest rounding mode, results computed by the proposed algorithms are reproducible for any run on any platform. In particular, our algorithm requires the minimum number of reductions, i.e. one reduction of an array of six double precision floating point numbers per sum, and hence is well suited for massively parallel environments.
5633935
Breaking the memory wall in MonetDB
In the past decades, advances in speed of commodity CPUs have far outpaced advances in RAM latency. Main-memory access has therefore become a performance bottleneck for many computer applications; a phenomenon that is widely known as the "memory wall." In this paper, we report how research around the MonetDB database system has led to a redesign of database architecture in order to take advantage of modern hardware, and in particular to avoid hitting the memory wall. This encompasses (i) a redesign of the query execution model to better exploit pipelined CPU architectures and CPU instruction caches; (ii) the use of columnar rather than row-wise data storage to better exploit CPU data caches; (iii) the design of new cache-conscious query processing algorithms; and (iv) the design and automatic calibration of memory cost models to choose and tune these cache-conscious algorithms in the query optimizer.
6119576
Main-memory hash joins on multi-core CPUs: Tuning to the underlying hardware
The architectural changes introduced with multi-core CPUs have triggered a redesign of main-memory join algorithms. In the last few years, two diverging views have appeared. One approach advocates careful tailoring of the algorithm to the architectural parameters (cache sizes, TLB, and memory bandwidth). The other approach argues that modern hardware is good enough at hiding cache and TLB miss latencies and, consequently, the careful tailoring can be omitted without sacrificing performance. In this paper we demonstrate through experimental analysis of different algorithms and architectures that hardware still matters. Join algorithms that are hardware conscious perform better than hardware-oblivious approaches. The analysis and comparisons in the paper show that many of the claims regarding the behavior of join algorithms that have appeared in literature are due to selection effects (relative table sizes, tuple sizes, the underlying architecture, using sorted data, etc.) and are not supported by experiments run under different parameters settings. Through the analysis, we shed light on how modern hardware affects the implementation of data operators and provide the fastest implementation of radix join to date, reaching close to 200 million tuples per second.
5398477
Multi-Core, Main-Memory Joins: Sort vs. Hash Revisited
In this paper we experimentally study the performance of main-memory, parallel, multi-core join algorithms, focusing on sort-merge and (radix-)hash join. The relative performance of these two join approaches have been a topic of discussion for a long time. With the advent of modern multi-core architectures, it has been argued that sort-merge join is now a better choice than radix-hash join. This claim is justified based on the width of SIMD instructions (sort-merge outperforms radix-hash join once SIMD is sufficiently wide), and NUMA awareness (sort-merge is superior to hash join in NUMA architectures). We conduct extensive experiments on the original and optimized versions of these algorithms. The experiments show that, contrary to these claims, radix-hash join is still clearly superior, and sort-merge approaches to performance of radix only when very large amounts of data are involved. The paper also provides the fastest implementations of these algorithms, and covers many aspects of modern hardware architectures relevant not only for joins but for any parallel data processing operator.
16252116
Accurate sum and dot product with applications
In a recent paper the authors presented a new and very fast algorithm for accurate computation and inclusion of the sum and dot product of floating point numbers. In this paper we show that the algorithms can be used to compute a very accurate inclusion of the solution of systems of linear equations. As a basic building block, accurate solution of linear equations has applications in very many areas
11179031
Distributed Join Algorithms on Thousands of Cores
Traditional database operators such as joins are relevant not only in the context of database engines but also as a building block in many computational and machine learning algorithms. With the advent of big data, there is an increasing demand for efficient join algorithms that can scale with the input data size and the available hardware resources. 
 
In this paper, we explore the implementation of distributed join algorithms in systems with several thousand cores connected by a low-latency network as used in high performance computing systems or data centers. We compare radix hash join to sort-merge join algorithms and discuss their implementation at this scale. In the paper, we explain how to use MPI to implement joins, show the impact and advantages of RDMA, discuss the importance of network scheduling, and study the relative performance of sorting vs. hashing. The experimental results show that the algorithms we present scale well with the number of cores, reaching a throughput of 48.7 billion input tuples per second on 4,096 cores.
39997024
Engineering Aggregation Operators for Relational In-Memory Database Systems
In this thesis we study the design and implementation of Aggregation operators in the context of relational in-memory database systems. In particular, we identify and address the following challenges: cache-efficiency, CPU-friendliness, parallelism within and across processors, robust handling of skewed data, adaptive processing, processing with constrained memory, and integration with modern database architectures. Our resulting algorithm outperforms the state-of-the-art by up to 3.7x.
17545249
Cache-Efficient Aggregation: Hashing Is Sorting
For decades researchers have studied the duality of hashing and sorting for the implementation of the relational operators, especially for efficient aggregation. Depending on the underlying hardware and software architecture, the specifically implemented algorithms, and the data sets used in the experiments, different authors came to different conclusions about which is the better approach. In this paper we argue that in terms of cache efficiency, the two paradigms are actually the same. We support our claim by showing that the complexity of hashing is the same as the complexity of sorting in the external memory model. Furthermore we make the similarity of the two approaches obvious by designing an algorithmic framework that allows to switch seamlessly between hashing and sorting during execution. The fact that we mix hashing and sorting routines in the same algorithmic framework allows us to leverage the advantages of both approaches and makes their similarity obvious. On a more practical note, we also show how to achieve very low constant factors by tuning both the hashing and the sorting routines to modern hardware. Since we observe a complementary dependency of the constant factors of the two routines to the locality of the input, we exploit our framework to switch to the faster routine where appropriate. The result is a novel relational aggregation algorithm that is cache-efficient---independently and without prior knowledge of input skew and output cardinality---, highly parallelizable on modern multi-core systems, and operating at a speed close to the memory bandwidth, thus outperforming the state-of-the-art by up to 3.7x.
6360872
On the Surprising Difficulty of Simple Things: the Case of Radix Partitioning
Partitioning a dataset into ranges is a task that is common in various applications such as sorting [1,6,7,8,9] and hashing [3] which are in turn building blocks for almost any type of query processing. Especially radix-based partitioning is very popular due to its simplicity and high performance over comparison-based versions [6].
17139905
Adaptive Aggregation on Chip Multiprocessors
The recent introduction of commodity chip multiprocessors requires that the design of core database operations be carefully examined to take full advantage of on-chip parallelism. In this paper we examine aggregation in a multi-core environment, the Sun UltraSPARC T1, a chip multiprocessor with eight cores and a shared L2 cache. Aggregation is an important aspect of query processing that is seemingly easy to understand and implement. Our research, however, demonstrates that a chip multiprocessor adds new dimensions to understanding hash-based aggregation performance---concurrent sharing of aggregation data structures and contentious accesses to frequently used values. We also identify a trade off between private data structures assigned to each thread versus shared data structures for aggregation. Depending on input characteristics, different aggregation strategies are optimal and choosing the wrong strategy can result in a performance penalty of over an order of magnitude. We provide a thorough explanation of the factors affecting aggregation performance on chip multiprocessors and identify three key input characteristics that dictate performance: (1) average run length of identical group-by values, (2) locality of references to the aggregation hash table, and (3) frequency of repeated accesses to the same hash table location. We then introduce an adaptive aggregation operator that performs lightweight sampling of the input to choose the correct aggregation strategy with high accuracy. Our experiments verify that our adaptive algorithm chooses the highest performing aggregation strategy on a number of common input distributions.
15344092
A comprehensive study of main-memory partitioning and its application to large-scale comparison- and radix-sort
Analytical database systems can achieve high throughput main-memory query execution by being aware of the dynamics of highly-parallel modern hardware. Such systems rely on partitioning to cluster or divide data into smaller pieces and thus achieve better parallelism and memory locality. This paper considers a comprehensive collection of variants of main-memory partitioning tuned for various layers of the memory hierarchy. We revisit the pitfalls of in-cache partitioning, and utilizing the crucial performance factors, we introduce new variants for partitioning out-of-cache. Besides non-in-place variants where linear extra space is used, we introduce large-scale in-place variants, and propose NUMA-aware partitioning that guarantees locality on multiple processors. Also, we make range partitioning comparably fast with hash or radix, by designing a novel cache-resident index to compute ranges. All variants are combined to build three NUMA-aware sorting algorithms: a stable LSB radix-sort; an in-place MSB radix-sort using different variants across memory layers; and a comparison-sort utilizing wide-fanout range partitioning and SIMD-optimal in-cache sorting. To the best of our knowledge, all three are the fastest to date on billion-scale inputs for both dense and sparse key domains. As shown for sorting, our work can serve as a tool for building other operations (e.g., join, aggregation) by combining the most suitable variants that best meet the design goals.
14796162
Binarized Neural Networks: Training Deep Neural Networks with Weights and Activations Constrained to +1 or -1
We introduce a method to train Binarized Neural Networks (BNNs) - neural networks with binary weights and activations at run-time. At training-time the binary weights and activations are used for computing the parameters gradients. During the forward pass, BNNs drastically reduce memory size and accesses, and replace most arithmetic operations with bit-wise operations, which is expected to substantially improve power-efficiency. To validate the effectiveness of BNNs we conduct two sets of experiments on the Torch7 and Theano frameworks. On both, BNNs achieved nearly state-of-the-art results over the MNIST, CIFAR-10 and SVHN datasets. Last but not least, we wrote a binary matrix multiplication GPU kernel with which it is possible to run our MNIST BNN 7 times faster than with an unoptimized GPU kernel, without suffering any loss in classification accuracy. The code for training and running our BNNs is available on-line.
29955698
Revisiting Aggregation Techniques for Data Intensive Applications
Aggregation has been an important operation since the early days of relational databases. Today's Big Data applications bring further challenges when processing aggregation queries, demanding robust aggregation algorithms that can process large volumes of data efficiently in a distributed, share-nothing architecture. Moreover, aggregation on each node runs under a potentially limited memory budget (especially in multiuser settings). Despite its importance, the design and evaluation of aggregation algorithms has not received the same attention that other basic operators, such as joins, have received in the literature. 
This dissertation revisits the engineering of efficient aggregation algorithms for use in Big Data platforms, considering both local and global aggregations. We firstly discuss the salient implementation details and precise cost models of several candidate local aggregation algorithms and present an in-depth experimental performance study to guide future Big Data engine developers. We show that the efficient implementation of the local aggregation operator for a Big Data platform is non-trivial and that many factors, including memory usage, spilling strategy, and I/O and CPU cost, should be considered. Then we show extended cost models that can precisely depict the cost of global aggregation plans, considering not only the local cost factors but also the network cost. We discuss a generic framework to describe a tree-structured global aggregation plan, and propose a cost-model based algorithm for efficiently finding the non-dominated global aggregation plans for different output properties, given the input data statistics and the global computation resources. 
Furthermore, spatial and temporal information introduces more semantics to traditional aggregations, requiring specific efficient algorithms that could utilize the additional spatial and temporal information during the query processing. In the last part of the thesis we show a novel aggregation application for monitoring the top-k unsafe moving objects in a continuous data stream where the spatial and temporal information change. We show that such a query can be generalized as an extended aggregation operation where the grouping condition is unknown without looking at all valid data in the given query time window. We then propose I/O-efficient algorithms to answer such queries utilizing spatial and temporal index structures.
12360325
Scalable aggregation on multicore processors
In data-intensive and multi-threaded programming, the performance bottleneck has shifted from I/O bandwidth to main memory bandwidth. The availability, size, and other properties of on-chip cache strongly influence performance. A key question is whether to allow different threads to work independently, or whether to coordinate the shared workload among the threads. The independent approach avoids synchronization overhead, but requires resources proportional to the number of threads and thus is not scalable. On the other hand, the shared method suffers from coordination overhead and potential contention.
 In this paper, we aim to provide a solution to performing in-memory parallel aggregation on the Intel Nehalem architecture. We consider several previously proposed techniques that were evaluated on other architectures, including a hybrid independent/shared method and a method that clones data items automatically when contention is detected. We also propose two algorithms: partition-and-aggregate and PLAT. The PLAT and hybrid methods perform best overall, utilizing the computational power of multiple threads without needing memory proportional to the number of threads, and avoiding much of the coordination overhead and contention apparent in the shared table method.
11439798
Scalable approximate query processing with the DBO engine
This article describes query processing in the DBO database system. Like other database systems designed for ad hoc analytic processing, DBO is able to compute the exact answers to queries over a large relational database in a scalable fashion. Unlike any other system designed for analytic processing, DBO can constantly maintain a guess as to the final answer to an aggregate query throughout execution, along with statistically meaningful bounds for the guess's accuracy. As DBO gathers more and more information, the guess gets more and more accurate, until it is 100% accurate as the query is completed. This allows users to stop the execution as soon as they are happy with the query accuracy, and thus encourages exploratory data analysis.
9460112
Sample + Seek: Approximating Aggregates with Distribution Precision Guarantee
Data volumes are growing exponentially for our decision-support systems making it challenging to ensure interactive response time for ad-hoc queries without increasing cost of hardware. Aggregation queries with Group By that produce an aggregate value for every combination of values in the grouping columns are the most important class of ad-hoc queries. As small errors are usually tolerable for such queries, approximate query processing (AQP) has the potential to answer them over very large datasets much faster. In many cases analysts require the distribution of (group, aggvalue) pairs in the estimated answer to be guaranteed within a certain error threshold of the exact distribution. Existing AQP techniques are inadequate for two main reasons. First, users cannot express such guarantees. Second, sampling techniques used in traditional AQP can produce arbitrarily large errors even for summ queries. To address those limitations, we first introduce a new precision metric, called distribution precision, to express such error guarantees. We then study how to provide fast approximate answers to aggregation queries with distribution precision guaranteed within a user-specified error bound. The main challenges are to provide rigorous error guarantees and to handle arbitrary highly selective predicates without maintaining large-sized samples. We propose a novel sampling scheme called measure-biased sampling to address the former challenge. For the latter, we propose two new indexes to augment in-memory samples. Like other sampling-based AQP techniques, our solution supports any aggregate that can be estimated from random samples. In addition to deriving theoretical guarantees, we conduct experimental study to compare our system with state-of-the-art AQP techniques and a commercial column-store database system on both synthetic and real enterprise datasets. Our system provides a median speed-up of more than 100x with around 5% distribution error compared with the commercial database.
5114806
Probabilistic Database Summarization for Interactive Data Exploration
We present a probabilistic approach to generate a small, query-able summary of a dataset for interactive data exploration. Departing from traditional summarization techniques, we use the Principle of Maximum Entropy to generate a probabilistic representation of the data that can be used to give approximate query answers. We develop the theoretical framework and formulation of our probabilistic representation and show how to use it to answer queries. We then present solving techniques and give three critical optimizations to improve preprocessing time and query accuracy. Lastly, we experimentally evaluate our work using a 5 GB dataset of flights within the United States and a 210 GB dataset from an astronomy particle simulation. While our current work only supports linear queries, we show that our technique can successfully answer queries faster than sampling while introducing, on average, no more error than sampling and can better distinguish between rare and nonexistent values.
207233292
Throughput-Optimized OpenCL-based FPGA Accelerator for Large-Scale Convolutional Neural Networks
Convolutional Neural Networks (CNNs) have gained popularity in many computer vision applications such as image classification, face detection, and video analysis, because of their ability to train and classify with high accuracy. Due to multiple convolution and fully-connected layers that are compute-/memory-intensive, it is difficult to perform real-time classification with low power consumption on today?s computing systems. FPGAs have been widely explored as hardware accelerators for CNNs because of their reconfigurability and energy efficiency, as well as fast turn-around-time, especially with high-level synthesis methodologies. Previous FPGA-based CNN accelerators, however, typically implemented generic accelerators agnostic to the CNN configuration, where the reconfigurable capabilities of FPGAs are not fully leveraged to maximize the overall system throughput. In this work, we present a systematic design space exploration methodology to maximize the throughput of an OpenCL-based FPGA accelerator for a given CNN model, considering the FPGA resource constraints such as on-chip memory, registers, computational resources and external memory bandwidth. The proposed methodology is demonstrated by optimizing two representative large-scale CNNs, AlexNet and VGG, on two Altera Stratix-V FPGA platforms, DE5-Net and P395-D8 boards, which have different hardware resources. We achieve a peak performance of 136.5 GOPS for convolution operation, and 117.8 GOPS for the entire VGG network that performs ImageNet classification on P395-D8 board.
1757803
The ZipML Framework for Training Models with End-to-End Low Precision: The Cans, the Cannots, and a Little Bit of Deep Learning
Recently there has been significant interest in training machine-learning models at low precision: by reducing precision, one can reduce computation and communication by one order of magnitude. We examine training at reduced precision, both from a theoretical and practical perspective, and ask: is it possible to train models at end-to-end low precision with provable guarantees? Can this lead to consistent order-of-magnitude speedups? We present a framework called ZipML to answer these questions. For linear models, the answer is yes. We develop a simple framework based on one simple but novel strategy called double sampling. Our framework is able to execute training at low precision with no bias, guaranteeing convergence, whereas naive quantization would introduce significant bias. We validate our framework across a range of applications, and show that it enables an FPGA prototype that is up to 6.5x faster than an implementation using full 32-bit precision. We further develop a variance-optimal stochastic quantization strategy and show that it can make a significant difference in a variety of settings. When applied to linear models together with double sampling, we save up to another 1.7x in data movement compared with uniform quantization. When training deep networks with quantized models, we achieve higher accuracy than the state-of-the-art XNOR-Net. Finally, we extend our framework through approximation to non-linear models, such as SVM. We show that, although using low-precision data induces bias, we can appropriately bound and control the bias. We find in practice 8-bit precision is often sufficient to converge to the correct solution. Interestingly, however, in practice we notice that our framework does not always outperform the naive rounding approach. We discuss this negative result in detail.