We present a probabilistic model for learning from dynamic relational data,
wherein the observed interactions among networked nodes are modeled via the
Bernoulli Poisson link function, and the underlying network structure are
characterized by nonnegative latent node-group memberships, which are assumed
to be gamma distributed. The latent memberships evolve according to Markov
processes. The optimal number of latent groups can be determined by data
itself. The computational complexity of our method scales with the number of
non-zero links, which makes it scalable to large sparse dynamic relational
data. We present batch and online Gibbs sampling algorithms to perform model
inference. Finally, we demonstrate the model's performance on both synthetic
and real-world datasets compared to state-of-the-art methods.

本文提出一种基于概率模型的算法，用于动态关系数据学习，利用伯努利泊松链接函数对网络节点的观测交互进行建模，并用假设为伽马分布的非负潜在节点组成员资格描述底层网络结构，而潜在成员组则根据马尔可夫过程演化。方法的最优成员组数可以由数据本身决定，其计算复杂度随着非零链接数量的增加而增加，适用于大规模稀疏动态关系数据，本文的批处理和在线 Gibbs 采样算法用于模型推断，最后我们将模型的性能与一流方法相比，应用于合成和实际世界的数据集上。

一种用于动态网络中潜在节点组成员的泊松伽玛概率模型

A Poisson Gamma Probabilistic Model for Latent Node-group Memberships in  Dynamic Networks

Neural collaborative filtering (NCF) and recurrent recommender systems (RRN)
have been successful in modeling user-item relational data. However, they are
also limited in their assumption of static or sequential modeling of relational
data as they do not account for evolving users' preference over time as well as
changes in the underlying factors that drive the change in user-item
relationship over time. We address these limitations by proposing a Neural
Tensor Factorization (NTF) model for predictive tasks on dynamic relational
data. The NTF model generalizes conventional tensor factorization from two
perspectives: First, it leverages the long short-term memory architecture to
characterize the multi-dimensional temporal interactions on relational data.
Second, it incorporates the multi-layer perceptron structure for learning the
non-linearities between different latent factors. Our extensive experiments
demonstrate the significant improvement in rating prediction and link
prediction on dynamic relational data by our NTF model over both neural network
based factorization models and other traditional methods.

本文提出了基于神经张量分解的动态关系数据预测模型，该模型利用长短时记忆网络来刻画关系数据中的多维时间交互作用，并结合多层感知器结构学习不同潜在因素之间的非线性关系，实验证明该模型在评级预测和链接预测方面性能显著优于神经网络因子分解模型和其他传统方法。