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We present a general theoretical analysis of structured prediction with a series of new results. We give new data-dependent margin guarantees for structured prediction for a very wide family of loss functions and a general family of…

机器学习 · 统计学 2016-12-02 Corinna Cortes , Mehryar Mohri , Vitaly Kuznetsov , Scott Yang

The reconstruction of 3D microstructures from 2D slices is considered to hold significant value in predicting the spatial structure and physical properties of materials.The dimensional extension from 2D to 3D is viewed as a highly…

机器学习 · 计算机科学 2024-02-27 Yilin Zheng , Zhigong Song

Knitting, an ancient fiber art, creates a structured fabric consisting of loops or stitches. Publishing hand knitting patterns involves lengthy testing periods and numerous knitters. Modeling knitting patterns with graphs can help expedite…

人机交互 · 计算机科学 2024-06-21 Kathryn Gray , Brian Bell , Stephen Kobourov

Ensembles of deep neural networks have achieved great success recently, but they do not offer a proper Bayesian justification. Moreover, while they allow for averaging of predictions over several hypotheses, they do not provide any…

机器学习 · 计算机科学 2021-06-23 Francesco D'Angelo , Vincent Fortuin , Florian Wenzel

This paper studies clustering algorithms for dynamically evolving graphs $\{G_t\}$, in which new edges (and potential new vertices) are added into a graph, and the underlying cluster structure of the graph can gradually change. The paper…

数据结构与算法 · 计算机科学 2024-06-06 Steinar Laenen , He Sun

In this paper we propose and analyze a novel multilevel version of Stein variational gradient descent (SVGD). SVGD is a recent particle based variational inference method. For Bayesian inverse problems with computationally expensive…

数值分析 · 数学 2024-02-05 Simon Weissmann , Jakob Zech

The design of deep graph models still remains to be investigated and the crucial part is how to explore and exploit the knowledge from different hops of neighbors in an efficient way. In this paper, we propose a novel RNN-like deep graph…

机器学习 · 计算机科学 2021-03-16 Ke Sun , Zhanxing Zhu , Zhouchen Lin

We study the problem of determining the minimal genus of a simple finite connected graph. We present an algorithm which, for an arbitrary graph $G$ with $n$ vertices and $m$ edges, determines the orientable genus of $G$ in…

离散数学 · 计算机科学 2025-07-01 Alexander Metzger , Austin Ulrigg

Subgraph recognition aims at discovering a compressed substructure of a graph that is most informative to the graph property. It can be formulated by optimizing Graph Information Bottleneck (GIB) with a mutual information estimator.…

机器学习 · 计算机科学 2022-04-05 Junchi Yu , Jie Cao , Ran He

Mining subgraphs with interesting structural properties from networks (or graphs) is a computationally challenging task. In this paper, we propose two algorithms for enumerating all connected induced subgraphs of a given cardinality from…

数据结构与算法 · 计算机科学 2023-03-17 Shanshan Wang , Chenglong Xiao

Image partitioning, or segmentation without semantics, is the task of decomposing an image into distinct segments, or equivalently to detect closed contours. Most prior work either requires seeds, one per segment; or a threshold; or…

计算机视觉与模式识别 · 计算机科学 2021-04-20 Steffen Wolf , Alberto Bailoni , Constantin Pape , Nasim Rahaman , Anna Kreshuk , Ullrich Köthe , Fred A. Hamprecht

The multinomial probit model is often used to analyze choice behaviour. However, estimation with existing Markov chain Monte Carlo (MCMC) methods is computationally costly, which limits its applicability to large choice data sets. This…

计量经济学 · 经济学 2022-10-18 Rubén Loaiza-Maya , Didier Nibbering

Graph Convolutional Networks (GCNs) and their variants have achieved significant performances on various recommendation tasks. However, many existing GCN models tend to perform recursive aggregations among all related nodes, which can arise…

信息检索 · 计算机科学 2022-10-17 Yue Xu , Hao Chen , Zengde Deng , Yuanchen Bei , Feiran Huang

Multiview subspace clustering (MVSC) has attracted an increasing amount of attention in recent years. Most existing MVSC methods first collect complementary information from different views and consequently derive a consensus reconstruction…

计算机视觉与模式识别 · 计算机科学 2024-03-15 Lai Wei , Shanshan Song

Purpose: To allow fast and high-quality reconstruction of clinical accelerated multi-coil MR data by learning a variational network that combines the mathematical structure of variational models with deep learning. Theory and Methods:…

计算机视觉与模式识别 · 计算机科学 2017-04-04 Kerstin Hammernik , Teresa Klatzer , Erich Kobler , Michael P Recht , Daniel K Sodickson , Thomas Pock , Florian Knoll

Multi-modal data provides abundant and diverse object information, crucial for effective modal interactions in Re-Identification (ReID) tasks. However, existing approaches often overlook the quality variations in local features and fail to…

计算机视觉与模式识别 · 计算机科学 2025-04-22 Xixi Wan , Aihua Zheng , Zi Wang , Bo Jiang , Jin Tang , Jixin Ma

How efficiently can we find an unknown graph using distance queries between its vertices? We assume that the unknown graph is connected, unweighted, and has bounded degree. The goal is to find every edge in the graph. This problem admits a…

数据结构与算法 · 计算机科学 2021-12-14 Claire Mathieu , Hang Zhou

Variational methods are widely applied to ill-posed inverse problems for they have the ability to embed prior knowledge about the solution. However, the level of performance of these methods significantly depends on a set of parameters,…

While a growing body of literature has been studying new Graph Neural Networks (GNNs) that work on both homophilic and heterophilic graphs, little has been done on adapting classical GNNs to less-homophilic graphs. Although the ability to…

机器学习 · 计算机科学 2024-04-30 Shouheng Li , Dongwoo Kim , Qing Wang

Graph learning has emerged as a promising technique for multi-view clustering with its ability to learn a unified and robust graph from multiple views. However, existing graph learning methods mostly focus on the multi-view consistency…

机器学习 · 计算机科学 2021-07-06 Youwei Liang , Dong Huang , Chang-Dong Wang , Philip S. Yu