取决于分布的亚逻辑查询学习索引的时间
Sepanta Zeighami1, Cyrus Shahabi1
1Univerisity of Southern California.
概括
在数据管理中使用的学习索引现在在理论上被证明比B树等传统方法快得多. 这项研究为它们在定位数组元素方面的卓越性能提供了第一个理论上的证明.
科学领域:
- 计算机科学 计算机科学
- 数据管理数据管理
- 算法算法是一种算法.
背景情况:
- 数据管理的一个核心挑战是有效地在数组中定位元素.
- 学习索引,使用预测模型来确定项目位置,显示实证加快比传统方法如B树和二进制搜索.
- 学习指数表现优势的理论依据在很大程度上没有得到证实.
研究的目的:
- 为学习指数中观察到的性能增长提供严格的理论理由.
- 在不同的空间复杂度下,通过学习索引实现的查询时间建立理论界限.
- 为了弥合经验上的成功与数据检索中学习指数的理论理解之间的差距.
主要方法:
- 开发了理论模型来分析学习索引的查询时间复杂性.
- 在数据分布的温和假设下,建立了性能保证.
- 将学习指数的理论查询时间和空间复杂性与非学习方法 (例如,B树) 相比较.
主要成果:
- 证明学习索引可以实现亚线性预期查询时间 (O(log log n)) 与非学习方法相同的空间复杂性.
- 表明近线性空间开销允许学习索引实现更快的预期查询时间 (O(log n)).
- 提供了理论证明,学习索引在查询速度方面在数量级上优于非学习方法.
结论:
- 该研究在理论上证实了学习索引相对于传统数据结构的显著速度优势.
- 这些发现为数据管理中学习指数的持续开发和采用提供了坚实的基础.
- 学习式索引提供了一种与已建立的非学习方法相比,可证明更有效的数据检索方法.
相关概念视频
Column Efficiency: Rate Theory
352
The rate theory of chromatography provides quantitative insight into the shapes and widths of elution bands. These bands are based on the random-walk mechanism governing molecular migration within a column. The Gaussian profile of chromatographic bands arises from the cumulative effect of random molecular motions as they progress through the column.
During elution, a solute molecule experiences numerous transitions between stationary and mobile phases, exhibiting irregular residence times in...
During elution, a solute molecule experiences numerous transitions between stationary and mobile phases, exhibiting irregular residence times in...
352
Noncompartmental Analysis: Mean Residence Time
157
According to statistical moment theory, mean residence time (MRT) is an important measure in pharmacokinetics. MRT can be defined as the expected mean of a probability density function distribution. It provides valuable insights into drug disposition in the body.
After the administration of a drug through intravenous bolus injection, the drug molecules are distributed throughout the body and remain there for varying periods. The MRT represents the average time these drug molecules stay in the...
After the administration of a drug through intravenous bolus injection, the drug molecules are distributed throughout the body and remain there for varying periods. The MRT represents the average time these drug molecules stay in the...
157
Choosing Between z and t Distribution
2.8K
The z and the Student t distribution estimate the population mean using the sample mean and standard deviation. However, to decide which distribution to use for a calculation, one needs to determine the sample size, the nature of the distribution, and whether the population standard deviation is known. If the population standard deviation is known and the population is normally distributed, or if the sample size is greater than 30, the z distribution is preferred. The Student t distribution is...
2.8K
Distributions to Estimate Population Parameter
4.1K
The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
4.1K
Poisson Probability Distribution
8.2K
A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
The...
8.2K
Probability Distributions
7.2K
The probability of a random variable x is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
7.2K


