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Standard linear modeling approaches make potentially simplistic assumptions regarding the structure of categorical effects that may obfuscate more complex relationships governing data. For example, recent work focused on the two-way…

统计方法学 · 统计学 2019-03-05 Thomas A. Metzger , Christopher T. Franck

Recently several researchers have investigated techniques for using data to learn Bayesian networks containing compact representations for the conditional probability distributions (CPDs) stored at each node. The majority of this work has…

机器学习 · 计算机科学 2015-05-19 David Maxwell Chickering , David Heckerman , Christopher Meek

This paper introduces a new sparse Bayesian learning (SBL) algorithm that jointly recovers a temporal sequence of edge maps from noisy and under-sampled Fourier data. The new method is cast in a Bayesian framework and uses a prior that…

应用统计 · 统计学 2023-03-01 Yao Xiao , Anne Gelb , Guohui Song

This paper describes an implementation of the L-BFGS method designed to deal with two adversarial situations. The first occurs in distributed computing environments where some of the computational nodes devoted to the evaluation of the…

最优化与控制 · 数学 2019-08-28 Albert S. Berahas , Martin Takáč

Conventional federated learning (FL) frameworks often suffer from training degradation due to data uncertainty and heterogeneity across local clients. Probabilistic approaches such as Bayesian neural networks (BNNs) can mitigate this issue…

机器学习 · 计算机科学 2026-03-20 Ratun Rahman , Dinh C. Nguyen

In this paper we derive an efficient algorithm to learn the parameters of structured predictors in general graphical models. This algorithm blends the learning and inference tasks, which results in a significant speedup over traditional…

机器学习 · 计算机科学 2013-09-02 Tamir Hazan , Alexander Schwing , David McAllester , Raquel Urtasun

Discovering governing equations from data is critical for diverse scientific disciplines as they can provide insights into the underlying phenomenon of dynamic systems. This work presents a new representation for governing equations by…

机器学习 · 计算机科学 2022-06-03 Hongpeng Zhou , Wei Pan

We consider the task of learning a causal graph in the presence of latent confounders given i.i.d.~samples from the model. While current algorithms for causal structure discovery in the presence of latent confounders are constraint-based,…

统计理论 · 数学 2020-03-26 Daniel Irving Bernstein , Basil Saeed , Chandler Squires , Caroline Uhler

Dynamic Bayesian Networks (DBNs), renowned for their interpretability, have become increasingly vital in representing complex stochastic processes in various domains such as gene expression analysis, healthcare, and traffic prediction.…

机器学习 · 计算机科学 2023-12-05 Hui Ouyang , Cheng Chen , Ke Tang

Gallstone disease is a complex, multifactorial condition with significant global health burdens. Identifying underlying risk factors and their interactions is crucial for early diagnosis, targeted prevention, and effective clinical…

应用统计 · 统计学 2025-06-18 Chitradipa Chakraborty , Nayana Mukherjee

Approaches to learning Bayesian networks from data typically combine a scoring function with a heuristic search procedure. Given a Bayesian network structure, many of the scoring functions derived in the literature return a score for the…

人工智能 · 计算机科学 2013-02-18 David Maxwell Chickering

We study the problem of learning the Markov order in categorical sequences that represent paths in a network, i.e. sequences of variable lengths where transitions between states are constrained to a known graph. Such data pose challenges…

机器学习 · 计算机科学 2020-07-07 Luka V. Petrović , Ingo Scholtes

We propose an empirical Bayes formulation of the structure learning problem, where the prior specification assumes that all node variables have the same error variance, an assumption known to ensure the identifiability of the underlying…

统计计算 · 统计学 2023-08-17 Hyunwoong Chang , James Cai , Quan Zhou

Accurate forecasting of multivariate time series is an extensively studied subject in finance, transportation, and computer science. Fully mining the correlation and causation between the variables in a multivariate time series exhibits…

机器学习 · 计算机科学 2022-05-25 Weijun Chen , Yanze Wang , Chengshuo Du , Zhenglong Jia , Feng Liu , Ran Chen

Greedy algorithms have long been a workhorse for learning graphical models, and more broadly for learning statistical models with sparse structure. In the context of learning directed acyclic graphs, greedy algorithms are popular despite…

机器学习 · 计算机科学 2021-11-01 Goutham Rajendran , Bohdan Kivva , Ming Gao , Bryon Aragam

We study the Bayesian model averaging approach to learning Bayesian network structures (DAGs) from data. We develop new algorithms including the first algorithm that is able to efficiently sample DAGs according to the exact structure…

人工智能 · 计算机科学 2015-01-20 Ru He , Jin Tian , Huaiqing Wu

In the context of supervised learning, meta learning uses features, metadata and other information to learn about the difficulty, behavior, or composition of the problem. Using this knowledge can be useful to contextualize classifier…

信息论 · 计算机科学 2020-04-28 Salimeh Yasaei Sekeh , Brandon Oselio , Alfred O. Hero

Learning a Bayesian network structure from data is an NP-hard problem and thus exact algorithms are feasible only for small data sets. Therefore, network structures for larger networks are usually learned with various heuristics. Another…

机器学习 · 计算机科学 2012-10-19 Teppo Niinimaki , Pekka Parviainen

Causal structure learning has been a challenging task in the past decades and several mainstream approaches such as constraint- and score-based methods have been studied with theoretical guarantees. Recently, a new approach has transformed…

机器学习 · 计算机科学 2019-11-19 Ignavier Ng , Shengyu Zhu , Zhitang Chen , Zhuangyan Fang

Optimization of high-dimensional black-box functions is an extremely challenging problem. While Bayesian optimization has emerged as a popular approach for optimizing black-box functions, its applicability has been limited to…

机器学习 · 统计学 2018-08-06 Zi Wang , Chengtao Li , Stefanie Jegelka , Pushmeet Kohli