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Despite the widespread application of latent factor analysis, existing methods suffer from the following weaknesses: requiring the number of factors to be known, lack of theoretical guarantees for learning the model structure, and…

统计方法学 · 统计学 2023-06-06 Dale S. Kim , Qing Zhou

Optimal setting of several hyper-parameters in machine learning algorithms is key to make the most of available data. To this aim, several methods such as evolutionary strategies, random search, Bayesian optimization and heuristic rules of…

机器学习 · 计算机科学 2021-12-16 Juan Cruz Barsce , Jorge A. Palombarini , Ernesto C. Martínez

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

统计方法学 · 统计学 2016-06-09 Mathias Drton , Marloes H. Maathuis

Many distributed learning techniques have been motivated by the increasing size of datasets and their inability to fit into main memory on a single machine. We propose an algorithm that finds the nearest neighbor in a graph locally without…

数据结构与算法 · 计算机科学 2019-02-18 Abhinav Mishra

Laplacian regularized stratified models (LRSM) are models that utilize the explicit or implicit network structure of the sub-problems as defined by the categorical features called strata (e.g., age, region, time, forecast horizon, etc.),…

机器学习 · 统计学 2023-05-05 Ziheng Cheng , Junzi Zhang , Akshay Agrawal , Stephen Boyd

When partitioning workflows in realistic scenarios, the knowledge of the processing units is often vague or unknown. A naive approach to addressing this issue is to perform many controlled experiments for different workloads, each…

分布式、并行与集群计算 · 计算机科学 2015-11-03 Freddy C. Chua , Bernardo A. Huberman

Graphs are ubiquitous data structures for representing interactions between entities. With an emphasis on the use of graphs to represent chemical molecules, we explore the task of learning to generate graphs that conform to a distribution…

机器学习 · 计算机科学 2019-03-08 Qi Liu , Miltiadis Allamanis , Marc Brockschmidt , Alexander L. Gaunt

This study proposes the first Bayesian approach for learning high-dimensional linear Bayesian networks. The proposed approach iteratively estimates each element of the topological ordering from backward and its parent using the inverse of a…

机器学习 · 统计学 2023-11-28 Seyong Hwang , Kyoungjae Lee , Sunmin Oh , Gunwoong Park

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

统计方法学 · 统计学 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

As a fundamental problem in pattern recognition, graph matching has applications in a variety of fields, from computer vision to computational biology. In graph matching, patterns are modeled as graphs and pattern recognition amounts to…

计算机视觉与模式识别 · 计算机科学 2008-06-19 Tiberio S. Caetano , Julian J. McAuley , Li Cheng , Quoc V. Le , Alex J. Smola

Graph contrastive learning has shown great promise when labeled data is scarce, but large unlabeled datasets are available. However, it often does not take uncertainty estimation into account. We show that a variational Bayesian neural…

机器学习 · 计算机科学 2023-12-04 Alexander Möllers , Alexander Immer , Elvin Isufi , Vincent Fortuin

This paper studies the problem of detecting anomalous graphs using a machine learning model trained on only normal graphs, which has many applications in molecule, biology, and social network data analysis. We present a self-discriminative…

机器学习 · 计算机科学 2023-10-11 Jinyu Cai , Yunhe Zhang , Jicong Fan

In this paper, we present a guide to the foundations of learning Dynamic Bayesian Networks (DBNs) from data in the form of multiple samples of trajectories for some length of time. We present the formalism for a generic as well as a set of…

机器学习 · 计算机科学 2024-09-02 Vyacheslav Kungurtsev , Fadwa Idlahcen , Petr Rysavy , Pavel Rytir , Ales Wodecki

Graph matching aims to find correspondences between two graphs. This paper integrates several well-known graph matching algorithms into a framework: the constrained gradient method. The primary difference among these algorithms lies in…

组合数学 · 数学 2024-12-11 Binrui Shen , Qiang Niu , Shengxin Zhu

Bayesian nonparametrics are a class of probabilistic models in which the model size is inferred from data. A recently developed methodology in this field is small-variance asymptotic analysis, a mathematical technique for deriving learning…

机器学习 · 统计学 2017-07-27 Trevor Campbell , Brian Kulis , Jonathan How

We explore the issue of refining an existent Bayesian network structure using new data which might mention only a subset of the variables. Most previous works have only considered the refinement of the network's conditional probability…

人工智能 · 计算机科学 2013-02-28 Wai Lam , Fahiem Bacchus

Successful machine learning methods require a trade-off between memorization and generalization. Too much memorization and the model cannot generalize to unobserved examples. Too much over-generalization and we risk under-fitting the data.…

人工智能 · 计算机科学 2023-03-09 Chase Yakaboski , Eugene Santos

Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

统计方法学 · 统计学 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

We propose an efficient meta-algorithm for Bayesian estimation problems that is based on low-degree polynomials, semidefinite programming, and tensor decomposition. The algorithm is inspired by recent lower bound constructions for…

数据结构与算法 · 计算机科学 2017-10-04 Samuel B. Hopkins , David Steurer

The need for large amounts of training data in modern machine learning is one of the biggest challenges of the field. Compared to the brain, current artificial algorithms are much less capable of learning invariance transformations and…

神经与进化计算 · 计算机科学 2023-07-25 Aleksandar Vučković , Benedikt Stock , Alexander V. Hopp , Mathias Winkel , Helmut Linde