混合式贝叶斯网络结构增量学习算法研究

提出一种混合式贝叶斯网络结构增量学习算法.首先提出多项式时间的限制性学习技术,为每个变量建立候选父节点集合;然后,依据候选父节点集合,利用搜索技术对当前网络进行增量学习.该算法的复杂度显著低于目前最优的贝叶斯网络增量学习算法.理论与实验均表明,所处理的问题越复杂,该算法在计算复杂度方面的优势越明显.     

The max-min hill-climbing Bayesian network structure learning algorithm

We present a new algorithm for Bayesian network structure learning, called Max-Min Hill-Climbing (MMHC). The algorithm combines ideas from local learning, constraint-based, and search-and-score techniques in a principled and effective way. It first reconstructs the skeleton of a Bayesian network and then performs a Bayesian-scoring greedy hill-climbing search to orient the edges. In our extensive empirical evaluation MMHC outperforms on average and in terms of various metrics several prototypical and state-of-the-art algorithms, namely the PC, Sparse Candidate, Three Phase Dependency Analysis, Optimal Reinsertion, Greedy Equivalence Search, and Greedy Search. These are the first empirical results simultaneously comparing most of the major Bayesian network algorithms against each other. MMHC offers certain theoretical advantages, specifically over the Sparse Candidate algorithm, corroborated by our experiments. MMHC and detailed results of our study are publicly available at http://www.dsl-lab.org/supplements/mmhc_paper/mmhc_index.html. Editor: Andrew W. Moore     

A novel hybrid learning algorithm for full Bayesian approach of artificial neural networks

The Bayesian neural networks are useful tools to estimate the functional structure in the nonlinear systems. However, they suffer from some complicated problems such as controlling the model complexity, the training time, the efficient parameter estimation, the random walk, and the stuck in the local optima in the high-dimensional parameter cases. In this paper, to alleviate these mentioned problems, a novel hybrid Bayesian learning procedure is proposed. This approach is based on the full Bayesian learning, and integrates Markov chain Monte Carlo procedures with genetic algorithms and the fuzzy membership functions. In the application sections, to examine the performance of proposed approach, nonlinear time series and regression analysis are handled separately, and it is compared with the traditional training techniques in terms of their estimation and prediction abilities.     

新的贝叶斯网络结构学习方法

贝叶斯网络是一种将贝叶斯概率方法和有向无环图的网络拓扑结构有机结合的表示模型,它描述了数据项及数据项之间的非线性依赖关系.报告了贝叶斯网络研究的现状,并针对传统算法需要主观规定网络中结点顺序的缺点,提出了一个新的可以在无约束条件下,根据观测得到的训练样本集的概率关系,自动完成学习贝叶斯网络结构的新方法.     

Efficient and effective Bayesian network local structure learning

In this paper, we propose a more efficient Bayesian network structure learning algorithm under the framework of score based local learning (SLL). Our algorithm significantly improves computational efficiency by restricting the neighbors of each variable to a small subset of candidates and storing necessary information to uncover the spouses, at the same time guaranteeing to find the optimal neighbor set in the same sense as SLL. The algorithm is theoretically sound in the sense that it is optimal in the limit of large sample size. Empirical results testify its improved speed without loss of quality in the learned structures.     

面向上下文感知计算的贝叶斯网络结构自学习算法的研究

通过对上下文感知计算中上下文特点的详细分析,提出一种面向上下文感知计算的通用贝叶斯网络结构自学习方法。该方法能在足够实例数据的支撑下自动对上下文感知计算中上下文之间的关系进行学习,进而形成贝叶斯网络结构,用于从低层上下文向高层上下文的演化。通过对上下文感知计算中上下文的层次化特点的有效利用,该方法对贝叶斯网络自学习方法进行了有效优化。研究分析表明,该方法能显著降低贝叶斯网络学习过程中的时间复杂度。     

BIC-based node order learning for improving Bayesian network structure learning

Node order is one of the most important factors in learning the structure of a Bayesian network (BN) for probabilistic reasoning. To improve the BN structure learning, we propose a node order learning algorithmbased on the frequently used Bayesian information criterion (BIC) score function. The algorithm dramatically reduces the space of node order and makes the results of BN learning more stable and effective. Specifically, we first find the most dependent node for each individual node, prove analytically that the dependencies are undirected, and then construct undirected subgraphs U_G. Secondly, the U_G- is examined and connected into a single undirected graph U_GC. The relation between the subgraph number and the node number is analyzed. Thirdly, we provide the rules of orienting directions for all edges in UGC, which converts it into a directed acyclic graph (DAG). Further, we rank the DAG’s topology order and describe the BIC-based node order learning algorithm. Its complexity analysis shows that the algorithm can be conducted in linear time with respect to the number of samples, and in polynomial time with respect to the number of variables. Finally, experimental results demonstrate significant performance improvement by comparing with other methods.     

Bayes网络学习的MCMC方法

基于Bayes统计理论, 提出了一种从数据样本中学习Bayes网络的Markov链Monte Carlo(MCMC)方法. 首先通过先验概率和数据样本的结合得到未归一化的后验概率, 然后使用此后验概率指导随机搜索算法寻找“好”的网络结构模型. 通过对Alarm网络的学习表明了本算法具有较好的性能.     

基于互信息的贝叶斯网络结构学习算法

结构学习是贝叶斯网络的重要分支之一,而由数据学习贝叶斯网络是NP-完全问题,提出了一个由数据学习贝叶斯网络的改进算法。该算法基于互信息知识构造初始无向图,并通过条件独立测试对无向边添加方向;同时提出了一个针对4节点环和5节点环的局部优化方法来构造初始框架,最后利用贪婪搜索算法得到最优网络结构。数值实验结果表明,改进的算法无论是在BIC评分值,还是在结构的误差上都有一定的改善,并且在迭代次数、运行时间上均有明显降低,能较快地确定出与数据匹配程度最高的网络结构。     

Feature selection for multi-label naive Bayes classification

In multi-label learning, the training set is made up of instances each associated with a set of labels, and the task is to predict the label sets of unseen instances. In this paper, this learning problem is addressed by using a method called Mlnb which adapts the traditional naive Bayes classifiers to deal with multi-label instances. Feature selection mechanisms are incorporated into Mlnb to improve its performance. Firstly, feature extraction techniques based on principal component analysis are applied to remove irrelevant and redundant features. After that, feature subset selection techniques based on genetic algorithms are used to choose the most appropriate subset of features for prediction. Experiments on synthetic and real-world data show that Mlnb achieves comparable performance to other well-established multi-label learning algorithms.     

基于无约束优化和遗传算法的贝叶斯网络结构学习方法

基于无约束优化和遗传算法,提出一种学习贝叶斯网络结构的限制型遗传算法.首先构造一无约束优化问题,其最优解对应一个无向图.在无向图的基础上,产生遗传算法的初始种群,并使用遗传算法中的选择、交叉和变异算子学习得到最优贝叶斯网络结构.由于产生初始种群的空间是由一些最优贝叶斯网络结构的候选边构成,初始种群具有很好的性质.与直接使用遗传算法学习贝叶斯网络结构的效率相比,该方法的学习效率相对较高.     

Transfer reinforcement learning method with multi-label learning for compound fault recognition

In complex working site, bearings used as the important part of machine, could simultaneously have faults on several positions. Consequently, multi-label learning approach considering fully the correlation between different faulted positions of bearings becomes the popular learning pattern. Deep reinforcement learning (DRL) combining the perception ability of deep learning and the decision-making ability of reinforcement learning, could be adapted to the compound fault diagnosis while having a strong ability extracting the fault feature from the raw data. However, DRL is difficult to converge and easily falls into the unstable training problem. Therefore, this paper integrates the feature extraction ability of DRL and the knowledge transfer ability of transfer learning (TL), and proposes the multi-label transfer reinforcement learning (ML-TRL). In detail, the proposed method utilizes the improved trust region policy optimization (TRPO) as the basic DRL framework and pre-trains the fixed convolutional networks of ML-TRL using the multi-label convolutional neural network method. In compound fault experiment, the final results demonstrate powerfully that the proposed method could have the higher accuracy than other multi-label learning methods. Hence, the proposed method is a remarkable alternative when recognizing the compound fault of bearings.     

基于最大信息系数的贝叶斯网络结构学习算法

为了得到正确的节点次序,构造接近最优的贝叶斯网络结构,利用最大信息系数与条件独立性测试相结合的方法,提出了一种新的贝叶斯网络结构学习算法（MICVO）。该算法利用最大信息系数衡量变量之间的依赖关系,生成初始的无向图,引入惩罚因子δ减少图中冗余边的数量,并将这个无向图分解成多个子结构,确定图中边的方向,最后生成正确的节点次序作为K2算法的输入学习网络结构。在两个基准网络Asia和Alarm中进行实验验证,结果表明基于最大信息系数的贝叶斯网络结构学习算法可以得到接近最优的节点次序,学习到的网络结构与数据的拟合程度更好,分类准确性更高。     

基于频繁项挖掘的贝叶斯网络结构学习算法BNSL-FIM

贝叶斯网络能够表示不确定知识并进行推理计算表达,但由于实际样本数据存在噪声和大小限制以及网络空间搜索的复杂性,贝叶斯网络结构学习始终会存在一定的误差。为了提高贝叶斯网络结构学习的准确度,提出了以最大频繁项集和关联规则分析结果为先验知识的贝叶斯网络结构学习算法BNSL-FIM 。首先从数据中挖掘出最大频繁项集并对该项集进行结构学习,之后使用关联规则分析结果对其进行校正,从而确定基于频繁项挖掘和关联规则分析的先验知识。然后提出一种融合先验知识的BDeu评分算法进行贝叶斯网络结构学习。最后在6个公开标准的数据集上开展了实验,并对比引入先验/不引入先验的结构与原始网络结构的汉明距离,结果表明所提算法与未引入先验的BDeu评分算法相比显著提高了贝叶斯网络结构学习的准确度。     

Towards a unified multi-source-based optimization framework for multi-label learning

In the era of Big Data, a practical yet challenging task is to make learning techniques more universally applicable in dealing with the complex learning problem, such as multi-source multi-label learning. While some of the early work have developed many effective solutions for multi-label classification and multi-source fusion separately, in this paper we learn the two problems together, and propose a novel method for the joint learning of multiple class labels and data sources, in which an optimization framework is constructed to formulate the learning problem, and the result of multi-label classification is induced by the weighted combination of the decisions from multiple sources. The proposed method is responsive in exploiting the label correlations and fusing multi-source data, especially in the fusion of long-tail data. Experiments on various multi-source multi-label data sets reveal the advantages of the proposed method.     

A decomposition hybrid structure learning algorithm for Bayesian network using expert knowledge

Knowledge and Information Systems - Decomposition hybrid structure learning algorithms (DHSLAs), which combine the idea of divide and conquer with hybrid algorithms to reduce the computational...     

Multi layer ELM-RBF for multi-label learning

Many neural network methods such as ML-RBF and BP-MLL have been used for multi-label classification. Recently, extreme learning machine (ELM) is used as the basic elements to handle multi-label classification problem because of its fast training time. Extreme learning machine based auto encoder (ELM-AE) is a novel method of neural network which can reproduce the input signal as well as auto encoder, but it can not solve the over-fitting problem in neural networks elegantly. Introducing weight uncertainty into ELM-AE, we can treat the input weights as random variables following Gaussian distribution and propose weight uncertainty ELM-AE (WuELM-AE). In this paper, a neural network named multi layer ELM-RBF for multi-label learning (ML-ELM-RBF) is proposed. It is derived from radial basis function for multi-label learning (ML-RBF) and WuELM-AE. ML-ELM-RBF firstly stacks WuELM-AE to create a deep network, and then it conducts clustering analysis on samples features of each possible class to compose the last hidden layer. ML-ELM-RBF has achieved satisfactory results on single-label and multi-label data sets. Experimental results show that WuELM-AE and ML-ELM-RBF are effective learning algorithms.     

基于拓扑序列和量子遗传算法的贝叶斯网结构学习

贝叶斯网是处理不确定性问题知识表示和推理的最重要的理论模型之一,其结构学习是目前研究的一个热点。提出了一种基于拓扑序列和量子遗传算法的贝叶斯网结构学习算法,新算法首先利用量子信息的丰富性和量子计算的并行性,设计出基于量子染色体的拓扑序列生成策略提高了搜索效率,并为K2算法学得高质量的贝叶斯网结构提供了保障;然后采用带上下界的自适应量子变异策略,增强了种群的多样性,提高了算法的搜索能力。实验结果表明,与已有的一些算法相比,新算法不仅能获得较高质量的解,而且还有着较快的收敛速度。     

贝叶斯网络结构学习综述

贝叶斯网络是一种有效的不确定性知识表达和推理工具,在数据挖掘等领域得到了较好的应用,而结构学习是其重要研究内容之一.经过二十多年的发展,已经出现了一些比较成熟的贝叶斯网络结构学习算法,对迄今为止的贝叶斯网络结构学习方法进行了综述.现阶段获得的用于结构学习的观测数据都比较复杂,这些数据分为完备数据和不完备数据两种类型.针对完备数据,分别从基于依赖统计分析的方法、基于评分搜索的方法和混合搜索方法三个方面对已有的算法进行分析.对于不完备数据,给出了数据不完备情况下网络结构的学习框架.在此基础上归纳总结了贝叶斯网络结构学习各个方向的研究进展,给出了贝叶斯网络结构学习未来可能的研究方向.