比如,Dirichlet-multinomial regression。 从multinomial distribution说起。 下面的数学公式和模型解释来源出处为:stat-center.pku.edu.cn/ 假设从正常组织取了sample i,正常组织本身包含了p种cell type,各种cell type出现的概率为 πi=(πi1,...,πip) , sample i中各种cell type出现的数目为 xi=(xi1,......
Previously, a Dirichlet–multinomial regression framework has been suggested to model this relationship, but it did not account for any underlying latent group structure. An underlying group structure of guts (such as enterotypes) has been observed across gut microbiome samples in which guts in the ...
首先我们先了解下 Dirichlet-multinomial regression 。 让我们从数学层面开始： 假设从正常组织取了sample i，正常组织本身包含了 p 种cell type，假设各种cell type出现的概率为 可能会相差很大，具有‘超散布性’ （overdispersion），也就是说观测到的不同样本中成分参数的方差会显著大于多项分布...
In this paper we propose a Dirichlet-multinomial regression (DMR) topic model that includes a log-linear prior on document-topic distributions that is a function of observed features of the document, such as author, publication venue, references, and dates. We show that by selecting appropriate ...
multinomialRegressionSourcesofvariationA generic random effects formulation for the Dirichlet negative multinomial distribution is developed together with a convenient regression parameterization. A simulation study indicates that, even when somewhat misspecified, regression models based on the Dirichlet negative ...
we include two smaller additional use cases where the r package compsign is used, and we provide some guidance on each step of the pipeline of compsign . mixed effects dirichlet-multinomial regression data our goal is to compare signature exposures between two sets of samples. the notation used...
In this study, we investigate differences in the gut microbial composition of obese and healthy children and adolescents [48]. To this end, we propose a scalable zero-inflated Dirichlet-multinomial regression model which accommodates potential misclassification to investigate the relation between covariate...
首先我们先了解下Dirichlet-multinomial regression。 让我们从数学层面开始: 假设从正常组织取了sample i,正常组织本身包含了p种cell type,假设各种cell type出现的概率为 Cell probability , sample i中各种cell type出现的数目为 Number of cell type sample i中共有N个cell,全部细胞的总和就是, ...
the parent probabilities \(\phi _{{X_c}}\) now appear in a simple multinomial likelihood \(\prod _{x_c} \phi _{{x_c}}^{t_{{x_c}|y}}\), their prior complex form inside gamma functions has been eliminated, but at the expense of introducing new latent variables \(t_{{X_c...
For the nth word in conversation m, a topic zmn is drawn from a Multinomial distribution with parameter θm, where topic k is chosen with probability θmk. Then, word wmn is drawn from the term distribution ηkv given k = zmn. Thus, term v for topic k is chosen with probability η...