Dirichlet Distribution(狄利克雷分布)与Dirichlet Process(狄利克雷过程)在贝叶斯模型中具有广泛的作用,然而新手对现有的很多材料理解起来可能较为困难,因此我们希望这篇博客能讲清楚相关概念。强烈推荐徐亦达老师在优酷的视频,讲的很清楚,这里我们也借助各种材料来说明一下。 Dirichlet Process(狄利克雷过程)是一个随机...
The Dirichlet distribution is conjugate to the multinomial distribution in the following sense: ifwhere βi is the number of occurrences of i in a sample of n points from the discrete distribution on {1, ..., K} defined by X, then[citation needed]...
Contour plot of a Dirichlet distribution inMichail Tsagris
max()+1 # (K, N) 类别标签分布矩阵X,记录每个类别划分到每个client去的比例 label_distribution = np.random.dirichlet([alpha]*n_clients, n_classes) # (K, ...) 记录K个类别对应的样本索引集合 class_idcs = [np.argwhere(train_labels == y).flatten() for y in range(n_classes)] # 记录N...
In subject area: Biochemistry, Genetics and Molecular Biology The LDA model is a powerful tool that is capable of representing a document through a Dirichlet distribution of random topics and, in parallel, represents each topic as a distribution of key terms. ...
可以先看LDA中的Dirichlet Prior，Dirichlet Prior的维数是有限的，DP其实是Dirichlet Prior的扩展，维数...
II - Distribution of phase change of narrow-band noise plus sinusoid It is shown that each large excursion of Gaussian noise tends to have the shape of the autocorrelation function of the noise, on its tails as well as near ... NM Blachman - 《IEEE Transactions on Information Theory》 被...
shifted-scaled Dirichlet distributionIn this article, first, we propose a novel unsupervised learning method based on a hierarchical Dirichlet process mixture ... A Baghdadi,N Manouchehri,Z Patterson,... - 《Computational Intelligence》 被引量: 0发表: 2022年 Distributions on the Simplex Revisited In...
结合前面的multinomial distribution,Dirichlet-multinomial or DM 模型的概率分布为: 同时可以推导出样本中各种cell type count/abundance的期望值和方差。 期望值和方差这里不再列出,但是这两个moments很关键,它们决定了统计检验的power以及显著性。 因此,对于包含多个cell type的tissue sample data,可以通过fit DM 模型...
The Neutrality of Dirichlet Distribution; Dirichlet分布的中立性 2. The word burstiness phenomenon is not taken into account in the unigram language model based on multinomial distribution,but the language model based on Dirichlet distribution can do it well. 基于多项式的一元语言模型不能表示文档中的...