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cs.DS updates on arXiv.org

PAC Learning with Bandit Feedback: Sharp Sample Complexity in the Realizable Setting Algorithms with Polynomially-Improved Approximation Factors for the $2 \rightarrow q$ Norm, and Applications A computational phase transition for learning-to-sample from Ising models Covering vertices by sequential stars Fermi-Dirac machines as quantizations of neurons A Comprehensive Evaluation of Vertex Elimination Algorithms for Algorithmic Differentiation A Tight Bound on Localization of Electrical Flows Optimal Dimension-Free Sampling for Regularized Classification Reducing the Randomness in Partition Oracles for Bounded Degree Minor-Free Graphs Beyond the Half-Approximation: Fair and Efficient Online Class Matching Efficient Uniform Sampling of Surjections via their Profiles Tractable Maximization of Budgeted Phylogenetic Diversity on Networks Utilizing Node Scanwidth Fairness in Aggregation: Optimal Top-$k$ and Improved Full Ranking Learning-Augmented Online Scheduling with Parsimonious Preemption Entropy Equivalence Testing Lumberjack: Better Differentially Private Random Forests through Heavy Hitter Detection in Trees The Secretary Problem with a Stochastic Precursor Polynomial-Time Robust Multiclass Linear Classification under Gaussian Marginals Efficient Banzhaf-Based Data Valuation for $k$-Nearest Neighbors Classification Block-Sphere Vector Quantization An Approximation Algorithm for Graph Label Selection Iterative Chow Filtering for Learning with Distribution Shift Complexity of Non-Log-Concave Sampling in Fisher Information Stochastic Matching via Local Sparsification Finite Sample Bounds for Learning with Score Matching What is Learnable in Valiant's Theory of the Learnable? Provable Quantization with Randomized Hadamard Transform Min-Max Optimization Requires Exponentially Many Queries Fast and Compact Graph Cuts for the Boykov-Kolmogorov Algorithm A proximal gradient algorithm for composite log-concave sampling
Index Search Algorithms for Databases and Modern CPUs
Florian Gross · 2017-06-21 · via cs.DS updates on arXiv.org

Over the years, many different indexing techniques and search algorithms have been proposed, including CSS-trees, CSB+ trees, k-ary binary search, and fast architecture sensitive tree search. There have also been papers on how best to set the many different parameters of these index structures, such as the node size of CSB+ trees. These indices have been proposed because CPU speeds have been increasing at a dramatically higher rate than memory speeds, giving rise to the Von Neumann CPU--Memory bottleneck. To hide the long latencies caused by memory access, it has become very important to well-utilize the features of modern CPUs. In order to drive down the average number of CPU clock cycles required to execute CPU instructions, and thus increase throughput, it has become important to achieve a good utilization of CPU resources. Some of these are the data and instruction caches, and the translation lookaside buffers. But it also has become important to avoid branch misprediction penalties, and utilize vectorization provided by CPUs in the form of SIMD instructions. While the layout of index structures has been heavily optimized for the data cache of modern CPUs, the instruction cache has been neglected so far. In this paper, we present NitroGen, a framework for utilizing code generation for speeding up index traversal in main memory database systems. By bringing together data and code, we make index structures use the dormant resource of the instruction cache. We show how to combine index compilation with previous approaches, such as binary tree search, cache-sensitive tree search, and the architecture-sensitive tree search presented by Kim et al.