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Learning of continuous exponential family distributions with unbounded support remains an important area of research for both theory and applications in high-dimensional statistics. In recent years, score matching has become a widely used…

Machine Learning · Computer Science 2026-05-15 Devin Smedira , Abhijith Jayakumar , Sidhant Misra , Marc Vuffray , Andrey Y. Lokhov

Undirected graphical models, or Markov networks, are a popular class of statistical models, used in a wide variety of applications. Popular instances of this class include Gaussian graphical models and Ising models. In many settings,…

Statistics Theory · Mathematics 2015-09-08 Eunho Yang , Pradeep Ravikumar , Genevera I. Allen , Zhandong Liu

Machine learning is often viewed as an inherently value-neutral process: statistical tendencies in the training inputs are "simply" used to generalize to new examples. However when models impact social systems such as interactions between…

Computers and Society · Computer Science 2019-08-21 Ben Hutchinson , KJ Pittl , Margaret Mitchell

Nowadays, the interpretability of machine learning models is becoming increasingly important, especially in the medical domain. Aiming to shed some light on how to rationalize medical relation prediction, we present a new interpretable…

Computation and Language · Computer Science 2020-05-05 Zhen Wang , Jennifer Lee , Simon Lin , Huan Sun

The graph structure is a commonly used data storage mode, and it turns out that the low-dimensional embedded representation of nodes in the graph is extremely useful in various typical tasks, such as node classification, link prediction ,…

Social and Information Networks · Computer Science 2020-08-03 Xing Li , Wei Wei , Xiangnan Feng , Xue Liu , Zhiming Zheng

We introduce and investigate a family of consequence relations with the goal of capturing certain important patterns of data-driven inference. The inspiring idea for our framework is the fact that data may reject, possibly to some degree,…

Logic · Mathematics 2024-08-23 Paolo Baldi , Esther Anna Corsi , Hykel Hosni

Learning relations based on evidence from knowledge bases relies on processing the available relation instances. Many relations, however, have clear domain and range, which we hypothesize could help learn a better, more generalizing, model.…

Artificial Intelligence · Computer Science 2018-03-05 Bhushan Kotnis , Vivi Nastase

We propose a family of statistical models for social network evolution over time, which represents an extension of Exponential Random Graph Models (ERGMs). Many of the methods for ERGMs are readily adapted for these models, including…

Machine Learning · Statistics 2009-08-11 Steve Hanneke , Wenjie Fu , Eric Xing

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

Learning-to-rank (LTR) algorithms are ubiquitous and necessary to explore the extensive catalogs of media providers. To avoid the user examining all the results, its preferences are used to provide a subset of relatively small size. The…

We propose a novel framework that leverages large language models (LLMs) to guide the rank selection in tensor network models for higher-order data analysis. By utilising the intrinsic reasoning capabilities and domain knowledge of LLMs,…

Machine Learning · Computer Science 2024-10-15 Giorgos Iacovides , Wuyang Zhou , Danilo Mandic

Traditional statistical inference on ordinal comparison data results in an overall ranking of objects, e.g., from best to worst, with each object having a unique rank. However, ranks of some objects may not be statistically distinguishable.…

Methodology · Statistics 2024-08-27 Michael Pearce , Elena A. Erosheva

For many internet businesses, presenting a given list of items in an order that maximizes a certain metric of interest (e.g., click-through-rate, average engagement time etc.) is crucial. We approach the aforementioned task from a…

Machine Learning · Statistics 2017-02-28 Swayambhoo Jain , Akshay Soni , Nikolay Laptev , Yashar Mehdad

Combining discrete probability distributions and combinatorial optimization problems with neural network components has numerous applications but poses several challenges. We propose Implicit Maximum Likelihood Estimation (I-MLE), a…

Machine Learning · Computer Science 2021-10-28 Mathias Niepert , Pasquale Minervini , Luca Franceschi

This technical report studies the problem of ranking from pairwise comparisons in the classical Bradley-Terry-Luce (BTL) model, with a focus on score estimation. For general graphs, we show that, with sufficiently many samples, maximum…

Machine Learning · Statistics 2023-04-17 Yanxi Chen

Learning how to aggregate ranking lists has been an active research area for many years and its advances have played a vital role in many applications ranging from bioinformatics to internet commerce. The problem of discerning reliability…

Methodology · Statistics 2021-04-16 Wanchuang Zhu , Yingkai Jiang , Jun S. Liu , Ke Deng

Affiliation network is one kind of two-mode social network with two different sets of nodes (namely, a set of actors and a set of social events) and edges representing the affiliation of the actors with the social events. Although a number…

Methodology · Statistics 2017-02-08 Yong Zhang , Xiaodi Qian , Hong Qin , Ting Yan

We study exponential families of distributions that are multivariate totally positive of order 2 (MTP2), show that these are convex exponential families, and derive conditions for existence of the MLE. Quadratic exponential familes of MTP2…

Methodology · Statistics 2021-07-15 Steffen Lauritzen , Caroline Uhler , Piotr Zwiernik

This work studies the large sample properties of the posterior-based inference in the curved exponential family under increasing dimension. The curved structure arises from the imposition of various restrictions on the model, such as moment…

Statistics Theory · Mathematics 2017-10-05 Alexandre Belloni , Victor Chernozhukov

This paper proposes a learning model, based on rank-fusion graphs, for general applicability in multimodal prediction tasks, such as multimodal regression and image classification. Rank-fusion graphs encode information from multiple…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Icaro Cavalcante Dourado , Salvatore Tabbone , Ricardo da Silva Torres