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We propose a new algorithm for solving the graph-fused lasso (GFL), a method for parameter estimation that operates under the assumption that the signal tends to be locally constant over a predefined graph structure. Our key insight is to…

机器学习 · 统计学 2015-06-02 Wesley Tansey , James G. Scott

Graph learning (GL) can dynamically capture the distribution structure (graph structure) of data based on graph convolutional networks (GCN), and the learning quality of the graph structure directly influences GCN for semi-supervised…

计算机视觉与模式识别 · 计算机科学 2020-06-01 Guangfeng Lin , Xiaobing Kang , Kaiyang Liao , Fan Zhao , Yajun Chen

Graph Convolutional Networks (GCNs) have achieved impressive empirical advancement across a wide variety of semi-supervised node classification tasks. Despite their great success, training GCNs on large graphs suffers from computational and…

机器学习 · 计算机科学 2021-11-02 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi

We propose a learning-augmented framework for accelerating max-flow computation and image segmentation by integrating Graph Neural Networks (GNNs) with the Ford-Fulkerson algorithm. Rather than predicting initial flows, our method learns…

机器学习 · 计算机科学 2026-04-24 Eleanor Wiesler , Trace Baxley

One of the fundamental tasks of science is to find explainable relationships between observed phenomena. One approach to this task that has received attention in recent years is based on probabilistic graphical modelling with sparsity…

机器学习 · 统计学 2014-04-16 Peter Orchard , Felix Agakov , Amos Storkey

This paper introduces a machine for sampling approximate model-X knockoffs for arbitrary and unspecified data distributions using deep generative models. The main idea is to iteratively refine a knockoff sampling mechanism until a criterion…

统计方法学 · 统计学 2020-03-03 Yaniv Romano , Matteo Sesia , Emmanuel J. Candès

Generative Bayesian Filtering (GBF) provides a powerful and flexible framework for performing posterior inference in complex nonlinear and non-Gaussian state-space models. Our approach extends Generative Bayesian Computation (GBC) to…

统计方法学 · 统计学 2025-11-07 Edoardo Marcelli , Sean O'Hagan , Veronika Rockova

We present a novel computational approach for extracting weak signals, whose exact location and width may be unknown, from complex background distributions with an arbitrary functional form. We focus on datasets that can be naturally…

高能物理 - 实验 · 物理学 2023-03-22 Abhijith Gandrakota , Amitabh Lath , Alexandre V. Morozov , Sindhu Murthy

Recently, Barber and Cand\`es laid the theoretical foundation for a general framework for false discovery rate (FDR) control based on the notion of "knockoffs." A closely related FDR control methodology has long been employed in the…

统计方法学 · 统计学 2022-03-15 Dong Luo , Arya Ebadi , Yilun He , Kristen Emery , William Stafford Noble , Uri Keich

Gaussian Graphical Models (GGMs) have been used to construct genetic regulatory networks where regularization techniques are widely used since the network inference usually falls into a high-dimension-low-sample-size scenario. Yet, finding…

统计方法学 · 统计学 2013-04-24 Shuang Li , Li Hsu , Jie Peng , Pei Wang

The Model-X knockoff procedure has recently emerged as a powerful approach for feature selection with statistical guarantees. The advantage of knockoff is that if we have a good model of the features X, then we can identify salient features…

机器学习 · 统计学 2019-05-30 Jaime Roquero Gimenez , James Zou

Graph Convolutional Network (GCN) has experienced great success in graph analysis tasks. It works by smoothing the node features across the graph. The current GCN models overwhelmingly assume that the node feature information is complete.…

机器学习 · 计算机科学 2020-12-08 Hibiki Taguchi , Xin Liu , Tsuyoshi Murata

This paper introduces the Gaussian multi-Graphical Model, a model to construct sparse graph representations of matrix- and tensor-variate data. We generalize prior work in this area by simultaneously learning this representation across…

机器学习 · 统计学 2024-02-28 Bailey Andrew , David Westhead , Luisa Cutillo

Learning a faithful directed acyclic graph (DAG) from samples of a joint distribution is a challenging combinatorial problem, owing to the intractable search space superexponential in the number of graph nodes. A recent breakthrough…

机器学习 · 计算机科学 2019-04-24 Yue Yu , Jie Chen , Tian Gao , Mo Yu

Graph Neural Networks (GNNs) are effective for processing graph-structured data but face challenges with large graphs due to high memory requirements and inefficient sparse matrix operations on GPUs. Quantum Computing (QC) offers a…

机器学习 · 计算机科学 2025-11-04 Mikel Casals , Vasilis Belis , Elias F. Combarro , Eduard Alarcón , Sofia Vallecorsa , Michele Grossi

Controlling the false discovery rate (FDR) in high-dimensional variable selection requires balancing rigorous error control with statistical power. Existing methods with provable guarantees are often overly conservative, creating a…

统计方法学 · 统计学 2026-02-06 Arnau Vilella , Jasin Machkour , Michael Muma , Daniel P. Palomar

Graph Neural Networks (GNNs) have shown superior performance in node classification. However, GNNs perform poorly in the Few-Shot Node Classification (FSNC) task that requires robust generalization to make accurate predictions for unseen…

机器学习 · 计算机科学 2024-10-23 Yihong Luo , Yuhan Chen , Siya Qiu , Yiwei Wang , Chen Zhang , Yan Zhou , Xiaochun Cao , Jing Tang

Graphical models find numerous applications in biology, chemistry, sociology, neuroscience, etc. While substantial progress has been made in graph estimation, it remains largely unexplored how to select significant graph signals with…

统计理论 · 数学 2024-03-20 Jiajun Liang , Yue Liu , Doudou Zhou , Sinian Zhang , Junwei Lu

How can we subsample graph data so that a graph neural network (GNN) trained on the subsample achieves performance comparable to training on the full dataset? This question is of fundamental interest, as smaller datasets reduce labeling…

机器学习 · 计算机科学 2025-02-25 Mika Sarkin Jain , Stefanie Jegelka , Ishani Karmarkar , Luana Ruiz , Ellen Vitercik

The problem of learning the structure of a high dimensional graphical model from data has received considerable attention in recent years. In many applications such as sensor networks and proteomics it is often expensive to obtain samples…

机器学习 · 统计学 2016-04-08 Gautam Dasarathy , Aarti Singh , Maria-Florina Balcan , Jong Hyuk Park