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Item response theory (IRT) models typically rely on a normality assumption for subject-specific latent traits, which is often unrealistic in practice. Semiparametric extensions based on Dirichlet process mixtures offer a more flexible…

Intransitivity is a critical issue in pairwise preference modeling. It refers to the intransitive pairwise preferences between a group of players or objects that potentially form a cyclic preference chain and has been long discussed in…

Machine Learning · Computer Science 2024-10-01 Jiuding Duan , Jiyi Li , Yukino Baba , Hisashi Kashima

Hierarchical learning models, such as mixture models and Bayesian networks, are widely employed for unsupervised learning tasks, such as clustering analysis. They consist of observable and hidden variables, which represent the given data…

Machine Learning · Statistics 2018-01-08 Keisuke Yamazaki

Probabilistic relational models provide a well-established formalism to combine first-order logic and probabilistic models, thereby allowing to represent relationships between objects in a relational domain. At the same time, the field of…

Artificial Intelligence · Computer Science 2024-10-03 Malte Luttermann , Ralf Möller , Mattis Hartwig

We propose a probabilistic model to infer supervised latent variables in the Hamming space from observed data. Our model allows simultaneous inference of the number of binary latent variables, and their values. The latent variables preserve…

Machine Learning · Computer Science 2013-09-27 Novi Quadrianto , Viktoriia Sharmanska , David A. Knowles , Zoubin Ghahramani

Latent factor models have been used widely in collaborative filtering based recommender systems. In recent years, deep learning has been successful in solving a wide variety of machine learning problems. Motivated by the success of deep…

Machine Learning · Computer Science 2019-12-11 Aanchal Mongia , Neha Jhamb , Emilie Chouzenoux , Angshul Majumdar

This paper proposes a new neural architecture for collaborative ranking with implicit feedback. Our model, LRML (\textit{Latent Relational Metric Learning}) is a novel metric learning approach for recommendation. More specifically, instead…

Artificial Intelligence · Computer Science 2018-02-14 Yi Tay , Anh Tuan Luu , Siu Cheung Hui

We provide a survey on relational models. Relational models describe complete networked {domains by taking into account global dependencies in the data}. Relational models can lead to more accurate predictions if compared to non-relational…

Artificial Intelligence · Computer Science 2016-09-13 Volker Tresp , Maximilian Nickel

In many supervised learning tasks, the entities to be labeled are related to each other in complex ways and their labels are not independent. For example, in hypertext classification, the labels of linked pages are highly correlated. A…

Machine Learning · Computer Science 2013-01-07 Ben Taskar , Pieter Abbeel , Daphne Koller

Nonparametric mixture models based on the Dirichlet process are an elegant alternative to finite models when the number of underlying components is unknown, but inference in such models can be slow. Existing attempts to parallelize…

Machine Learning · Statistics 2012-12-03 Sinead A. Williamson , Avinava Dubey , Eric P. Xing

Dirichlet processes (DP) are widely applied in Bayesian nonparametric modeling. However, in their basic form they do not directly integrate dependency information among data arising from space and time. In this paper, we propose location…

Machine Learning · Statistics 2017-07-04 Shiliang Sun , John Paisley , Qiuyang Liu

This paper revisits building machine learning algorithms that involve interactions between entities, such as those between financial assets in an actively managed portfolio, or interactions between users in a social network. Our goal is to…

Machine Learning · Computer Science 2022-12-05 Qiong Wu , Jian Li , Zhenming Liu , Yanhua Li , Mihai Cucuringu

We investigate a model of one-to-one matching with transferable utility and general unobserved heterogeneity. Under a separability assumption that generalizes Choo and Siow (2006), we first show that the equilibrium matching maximizes a…

General Economics · Economics 2023-01-31 Alfred Galichon , Bernard Salanié

Users consume their favorite content in temporal proximity of consumption bundles according to their preferences and tastes. Thus, the underlying attributes of items implicitly match user preferences, however, current recommender systems…

Information Retrieval · Computer Science 2018-10-23 Arun Kumar , Karan Aggarwal , Paul Schrater

Recommender Systems have proliferated as general-purpose approaches to model a wide variety of consumer interaction data. Specific instances make use of signals ranging from user feedback, item relationships, geographic locality, social…

Information Retrieval · Computer Science 2018-08-31 Wang-Cheng Kang , Mengting Wan , Julian McAuley

We present a probabilistic model for unsupervised alignment of high-dimensional time-warped sequences based on the Dirichlet Process Mixture Model (DPMM). We follow the approach introduced in (Kazlauskaite, 2018) of simultaneously…

Machine Learning · Statistics 2018-11-28 Ieva Kazlauskaite , Ivan Ustyuzhaninov , Carl Henrik Ek , Neill D. F. Campbell

Classic item response models assume that all items with the same difficulty have the same response probability among all respondents with the same ability. These assumptions, however, may very well be violated in practice, and it is not…

Methodology · Statistics 2021-08-23 Minjeong Jeon , Ick Hoon Jin , Michael Schweinberger , Samuel Baugh

We develop a new Gibbs sampler for a linear mixed model with a Dirichlet process random effect term, which is easily extended to a generalized linear mixed model with a probit link function. Our Gibbs sampler exploits the properties of the…

Statistics Theory · Mathematics 2010-02-26 Minjung Kyung , Jeff Gill , George Casella

Diffusion models (DMs) have recently gained significant interest for their exceptional potential in recommendation tasks. This stems primarily from their prominent capability in distilling, modeling, and generating comprehensive user…

Information Retrieval · Computer Science 2025-11-26 Ximing Chen , Pui Ieng Lei , Yijun Sheng , Yanyan Liu , Zhiguo Gong

Reciprocity, or the stochastic tendency for actors to form mutual relationships, is an essential characteristic of directed network data. Existing latent space approaches to modeling directed networks are severely limited by the assumption…

Methodology · Statistics 2024-11-28 Joshua Daniel Loyal , Xiangyu Wu , Jonathan R. Stewart