Conservative Generalisation for Small Data Analytics –An Extended Lattice Machine Approach

Shuangshuang Kong, Hui Wang, Kaijun Wang
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Abstract

Small data analytics is to tackle the data analysis challenges such as overfitting when the data set is small. There are different approaches to small data analytics, including knowledge-based learning, but most of these approaches need experience to use. In this paper we consider another approach, lattice machine. Lattice machine is a conservative generalisation based learning algorithm. It is a learning paradigm that "learns" by generalising data in a consistent, conservative and parsimonious way. A lattice machine model built from a dataset is a set of hyper tuples that tightly "wraps around" clusters of data, each of which is a conservative generalisation of the underlying cluster. A key feature of lattice machine, indeed any conservative generalisation based learning algorithm, is that it has high precision and low recall, limiting its applications as high recall is needed in some applications such as disease (e.g. covid-19) screening. It is thus necessary to improve lattice machine’s recall whilst retaining his high precision. In this paper, we present a study on how to achieve this for lattice machine.
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小数据分析的保守推广——扩展格机方法
小数据分析是解决数据集较小时的过拟合等数据分析难题。小数据分析有不同的方法,包括基于知识的学习,但大多数方法都需要使用经验。在本文中,我们考虑另一种方法,晶格机。点阵机是一种基于保守泛化的学习算法。它是一种学习范式,通过以一致、保守和简约的方式概括数据来“学习”。从数据集构建的晶格机模型是一组超元组,它们紧密地“包裹”着数据簇,每个数据簇都是底层簇的保守泛化。晶格机的一个关键特征,实际上是任何基于保守泛化的学习算法,是它具有高精度和低召回率,限制了它的应用,因为在某些应用中需要高召回率,如疾病(例如covid-19)筛查。因此,有必要在保持格子机高精度的同时提高其召回率。在本文中,我们研究了如何在格子机上实现这一目标。
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