Tree-based models have proven to be an effective solution for web ranking as well as other problems in diverse domains. This paper focuses on optimizing the runtime performance of applying such models to make predictions, given an already-trained model. Although exceedingly simple conceptually, most implementations of tree-based models do not efficiently utilize modern superscalar processor architectures. By laying out data structures in memory in a more cache-conscious fashion, removing branches from the execution flow using a technique called predication, and micro-batching predictions using a technique called vectorization, we are able to better exploit modern processor architectures and significantly improve the speed of tree-based models over hard-coded if-else blocks. Our work contributes to the exploration of architecture-conscious runtime implementations of machine learning algorithms.
Managing cache content is a complex challenge, but there are two main principles that are relevant to a software developer. First, caches are organized into cache lines (typically 64 bytes), which is the smallest unit of transfer between cache levels. That is, when a program accesses a particular memory location, the entire cache line is brought into (L1) cache. This means that subsequent references to nearby memory locations are very fast, i.e., a cache hit. Therefore, in software it is worthwhile to organize data structures to take advantage of this fact. Second, if a program accesses memory in a predictable sequential pattern (called striding), the processor will prefetch memory blocks and move them into cache, before the program has explicitly requested the memory locations (and in certain architectures, it is possible to explicitly control prefetch in software). There is, of course, much more complexity beyond this short description; see @cite_11 for an overview.
@cite_11
2137935742 2294061792 2187405838 182451592
As the performance gap between disks and micropocessors continues to increase, effective utilization of the file cache becomes increasingly immportant. Application-controlled file caching and prefetching can apply application-specific knowledge to improve file cache management. However, supporting application-controlled file caching and prefetching is nontrivial because caching and prefetching need to be integrated carefully, and the kernel needs to allocate cache blocks among processes appropriately. This article presents the design, implementation, and performance of a file system that integrates application-controlled caching, prefetching, and disk scheduling. We use a two-level cache management strategy. The kernel uses the LRU-SP (Least-Recently-Used with Swapping and Placeholders) policy to allocate blocks to processes, and each process integrates application-specific caching and prefetching based on the controlled-aggressive policy, an algorithm previously shown in a theoretical sense to be nearly optimal. Each process also improves its disk access latency by submittint its prefetches in batches so that the requests can be scheduled to optimize disk access performance. Our measurements show that this combination of techniques greatly improves the performance of the file system. We measured that the running time is reduced by 3 to 49 (average 26 ) for single-process workloads and by 5 to 76 (average 32 ) for multiprocess workloads. We introduce a multi-level prefetching framework with three setups, respectively aimed to minimize cost (Mincost), minimize losses in individual applications (Minloss) or maximize performance with moderate cost (Maxperf). Performance is boosted in all cases by a sequential tagged prefetcher in the L1 cache, with an effective static degree policy. In both cache levels (L1 and L2), we also apply prefetch filters. In the L2 cache we use a novel adaptive policy that selects the best prefetching degree within a fixed set of values, by tracking the performance gradient. Mincost resorts to sequential tagged prefetching in the L2 cache as well. Minloss relies on an accurate, home-made, correlating prefetcher (PDFCM, Differencial Finite Context Method Prefetcher). Maxperf maximizes performance at the expense of slight performance losses in a small number of benchmarks, by integrating a sequential tagged prefetcher with PDFCM in the L2 cache. Hardware data prefetching is widely adopted to hide long memory latency. A hardware data prefetcher predicts the memory address that will be accessed in the near future and fetches the data at the predicted address into the cache memory in advance. To detect memory access patterns such as a constant stride, most existing prefetchers use differences between addresses in a sequence of memory accesses. However, prefetching based on the differences often fail to detect memory access patterns when aggressive optimizations are applied. For example, out-of-order execution changes the memory access order. It causes inaccurate prediction because the sequence of memory addresses used to calculate the difference are changed by the optimization. To overcome the problems of existing prefetchers, we propose Access Map Pattern Matching (AMPM). The AMPM prefetcher has two key components: a memory access map and hardware pattern matching logic. The memory access map is a bitmap-like data structure for holding past memory accesses. The AMPM prefetcher divides the memory address space into memory regions of a fixed size. The memory access map is mapped to the memory region. Each entry in the bitmap-like data structure is mapped to each cache line in the region. Once the bitmap is mapped to the memory region, the entry records whether the corresponding line has already been accessed or not. The AMPM prefetcher detects memory access patterns from the bitmap-like data structure that is mapped to the accessed region. The hardware pattern matching logic is used to detect stride access patterns in the memory access map. The result of pattern matching is affected by neither the memory access order nor the instruction addresses because the bitmap-like data structure holds neither the information that reveals the memory access order of past memory accesses nor the instruction addresses. Therefore, the AMPM prefetcher achieves high performance even when such aggressive optimizations are applied. The AMPM prefetcher is evaluated by performing cycle-accurate simulations using the memory-intensive benchmarks in the SPEC CPU2006 and the NAS Parallel Benchmark. In an aggressively optimized environment, the AMPM prefetcher improves prefetch coverage, while the other state-of-the-art prefetcher degrades the prefetch coverage significantly. As a result, the AMPM prefetcher increases IPC by 32.4 compared to state-of-the-art prefetcher. Computer systems have enjoyed an exponential growth in processor speed for the past 20 years, while main memory speed has improved only moderately. Today a cache miss to main memory takes hundreds of processor cycles. Recent studies have demonstrated that on commercial databases, about 50 or more of execution time in memory is often wasted due to cache misses. In light of this problem, a number of recent studies focused on reducing the number of cache misses of database algorithms. In this thesis, we investigate a different approach: reducing the impact of cache misses through a technique called cache prefetching. Since prefetching for sequential array accesses has been well studied, we are interested in studying non-contiguous access patterns found in two classes of database algorithms: the B+-Tree index algorithm and the hash join algorithm. We re-examine their designs with cache prefetching in mind, and combine prefetching and data locality optimizations to achieve good cache performance. For B+-Trees, we first propose and evaluate a novel main memory index structure, Prefetching B+Trees, which uses prefetching to accelerate two major access patterns of B+-Tree indices: searches and range scans. We then apply our findings in the development of a novel index structure, Fractal Prefetching B+-Trees, that optimizes index operations both for CPU cache performance and for disk performance in commercial database systems by intelligently embedding cache-optimized trees into disk pages. For hash joins, we first exploit cache prefetching separately for the I O partition phase and the join phase of the algorithm. We propose and evaluate two techniques, Group Prefetching and Software-Pipelined Prefetching, that exploit inter-tuple parallelism to overlap cache misses across the processing of multiple tuples. Then we present a novel algorithm, Inspector Joins, that exploits the free information obtained from one pass of the hash join algorithm to improve the performance of a later pass. This new algorithm addresses the memory bandwidth sharing problem in shared-bus multiprocessor systems. We compare our techniques against state-of-the-art cache-friendly algorithms for B+-Trees and hash joins through both simulation studies and real machine experiments. Our experimental results demonstrate dramatic performance benefits of our cache prefetching enabled techniques.