MATHEMATICS FOR MACHINE LEARNING

Gaurav Kumar, Rishav Banerjee, Deepak Kr Singh, Nitesh Choubey, Arnaw
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引用次数: 173

Abstract

Machine learning is a way to study the algorithm and statistical model that is used by computer to perform a specific task through pattern and deduction [1]. It builds a mathematical model from a sample data which may come under either supervised or unsupervised learning. It is closely related to computational statistics which is an interface between statistics and computer science. Also, linear algebra and probability theory are two tools of mathematics which form the basis of machine learning. In general, statistics is a science concerned with collecting, analysing, interpreting the data. Data are the facts and figure that can be classified as either quantitative or qualitative. From the given set of data, we can predict the expected observation, difference between the outcome of two observations and how data look like which can help in better decision making process [2]. Descriptive and inferential statistics are the two methods of data analysis. Descriptive statistics summarize the raw data into information through which common expectation and variation of data can be taken. It also provides graphical methods that can be used to visualize the sample of data and qualitative understanding of observation whereas inferential statistics refers to drawing conclusions from data. Inferences are made under the framework of probability theory. So, understanding of data and interpretation of result are two important aspects of machine learning. In this paper, we have reviewed the different methods of ML, mathematics behind ML, its application in day to day life and future aspects.
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机器学习的数学
机器学习是通过模式和演绎来研究计算机执行特定任务所使用的算法和统计模型的一种方法[1]。它从样本数据中建立数学模型,样本数据可能属于监督学习或非监督学习。它与计算统计学密切相关,计算统计学是统计学和计算机科学之间的接口。此外,线性代数和概率论是构成机器学习基础的两种数学工具。总的来说,统计学是一门收集、分析和解释数据的科学。数据是可以分为定量和定性两类的事实和数字。从给定的一组数据中,我们可以预测预期的观察结果、两次观察结果之间的差异以及数据的样子,这有助于更好的决策过程[2]。描述统计和推理统计是数据分析的两种方法。描述性统计将原始数据总结为信息,通过这些信息可以获得数据的共同期望和变化。它还提供了图形方法,可用于可视化数据样本和对观察结果的定性理解,而推论统计是指从数据中得出结论。推理是在概率论的框架下进行的。因此,对数据的理解和对结果的解释是机器学习的两个重要方面。在本文中,我们回顾了机器学习的不同方法,机器学习背后的数学,它在日常生活中的应用以及未来的方面。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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