基于分歧的局部加权集群集群与词典学习和L2,1-规范
Jiaxuan Xu1, Jiang Wu1, Taiyong Li1
1School of Computing and Artificial Intelligence, Southwestern University of Finance and Economics, Chengdu 611130, China.
Entropy (Basel, Switzerland)
|July 8, 2023
概括
本研究引入了一种新的基于分歧的局部加权集群集群与字典学习 (DLWECDL) 方法. 通过有效权重微集群和学习未标记数据的相似性矩阵,DLWECDL提高了集群准确性.
科学领域:
- 数据挖掘 数据挖掘
- 机器学习 机器学习
- 人工智能的人工智能
背景情况:
- 准确地对未标记的数据进行聚类仍然是一个重大挑战.
- 集合集群方法通过结合基础集群来提高准确性和稳定性.
- 现有的DREC和ELWEC等方法在处理微集群差异和样本集群关系方面存在局限性.
研究的目的:
- 提出一种新的集合集群方法,即基于分歧的局部加权的集合集群与字典学习 (DLWECDL).
- 通过结合微集群权重和字典学习来解决现有的集群集群技术的局限性.
- 为了提高对未标记数据的聚类的准确性和稳定性.
主要方法:
- 从基础集群结果生成微集群.
- 使用基于库尔巴克-莱布勒分歧的集合驱动集群指数计算微集群重量.
- 使用集体聚类算法与字典学习和L2,1-规范,通过子问题优化学习相似性矩阵.
- 通过使用规范切割 (Ncut) 分区相似性矩阵获得最终的聚类结果.
主要成果:
- 拟议的DLWECDL方法在20个不同的数据集上得到了验证.
- 实验性比较表明DLWECDL的性能优于其他最先进的集合集群方法.
- 结果表明DLWECDL在提高聚类准确性的有效性.
结论:
- DLWECDL提供了一种有前途的方法,用于对未标记数据进行集体聚类.
- 该方法通过考虑微集群的重要性和样本集群关系,有效地解决了先前技术的局限性.
- 在聚类任务中,DLWECDL表现出卓越的性能和稳定性.
相关概念视频
Cluster Sampling Method
12.0K
Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
12.0K
Weighted Mean
5.2K
While taking the arithmetic, geometric, or harmonic mean of a sample data set, equal importance is assigned to all the data points. However, all the values may not always be equally important in some data sets. An intrinsic bias might make it more important to give more weightage to specific values over others.
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
5.2K
Mean Absolute Deviation
2.7K
The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean.
Let us consider a dataset containing the number of unsold cupcakes in five shops: 10, 15, 8, 7, and 10. Initially, calculate the sample mean. Then calculate the deviation, or the difference, between each data value and the mean. Next, the absolute values of these deviations are added and divided by the sample size to...
Let us consider a dataset containing the number of unsold cupcakes in five shops: 10, 15, 8, 7, and 10. Initially, calculate the sample mean. Then calculate the deviation, or the difference, between each data value and the mean. Next, the absolute values of these deviations are added and divided by the sample size to...
2.7K
Routh-Hurwitz Criterion II
299
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
299
Associative Learning
452
Associative learning is a fundamental concept in behavioral psychology, wherein a connection is established between two stimuli or events, leading to a learned response. This process is critical in understanding how behaviors are acquired and modified. Conditioning, the mechanism through which associations are formed, can be divided into two main types: classical conditioning and operant conditioning, each elucidating different aspects of associative learning.
Classical conditioning, also known...
Classical conditioning, also known...
452
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
582
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
On...
582


