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We introduce a new centrality measure that characterizes the participation of each node in all subgraphs in a network. Smaller subgraphs are given more weight than larger ones, which makes this measure appropriate for characterizing network…

统计力学 · 物理学 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez

This paper introduces a novel framework that combines traditional centrality measures with eigenvalue spectra and diffusion processes for a more comprehensive analysis of complex networks. While centrality measures such as degree,…

其他计算机科学 · 计算机科学 2025-03-28 Arsh Jha

We propose a robust and scalable procedure for general optimization and inference problems on manifolds leveraging the classical idea of `median-of-means' estimation. This is motivated by ubiquitous examples and applications in modern data…

统计方法学 · 统计学 2020-06-16 Lizhen Lin , Drew Lazar , Bayan Sarpabayeva , David B. Dunson

Sample average approximation (SAA) replaces an intractable expected objective by an empirical average and is a basic device of modern stochastic optimization. We develop a rate theory for optimal values and empirical…

最优化与控制 · 数学 2026-04-29 Hien Duy Nguyen , Jacob Westerhout , Xin Guo

The persistent challenge of bias in machine learning models necessitates robust solutions to ensure parity and equal treatment across diverse groups, particularly in classification tasks. Current methods for mitigating bias often result in…

Measuring centrality in a social network, especially in bipartite mode, poses several challenges such as requirement of full knowledge of the network topology and lack of properly detection of top-k behavioral representative users. In this…

社会与信息网络 · 计算机科学 2017-05-23 Seyed Mohammad Taheri , Hamidreza Mahyar , Mohammad Firouzi , Elahe Ghalebi K. , Radu Grosu , Ali Movaghar

In recent years, decentralized bilevel optimization problems have received increasing attention in the networking and machine learning communities thanks to their versatility in modeling decentralized learning problems over peer-to-peer…

机器学习 · 计算机科学 2022-10-07 Zhuqing Liu , Xin Zhang , Prashant Khanduri , Songtao Lu , Jia Liu

Network reliability is an important metric to evaluate the connectivity among given vertices in uncertain graphs. Since the network reliability problem is known as #P-complete, existing studies have used approximation techniques. In this…

数据结构与算法 · 计算机科学 2020-09-08 Yuya Sasaki , Yasuhiro Fujiwara , Makoto Onizuka

Most saliency estimation methods aim to explicitly model low-level conspicuity cues such as edges or blobs and may additionally incorporate top-down cues using face or text detection. Data-driven methods for training saliency models using…

计算机视觉与模式识别 · 计算机科学 2018-04-06 Saumya Jetley , Naila Murray , Eleonora Vig

In Bayesian Deep Learning, distributions over the output of classification neural networks are often approximated by first constructing a Gaussian distribution over the weights, then sampling from it to receive a distribution over the…

机器学习 · 计算机科学 2022-06-01 Marius Hobbhahn , Agustinus Kristiadi , Philipp Hennig

Accurate semantic segmentation models typically require significant computational resources, inhibiting their use in practical applications. Recent works rely on well-crafted lightweight models to achieve fast inference. However, these…

计算机视觉与模式识别 · 计算机科学 2023-02-20 Danna Xue , Fei Yang , Pei Wang , Luis Herranz , Jinqiu Sun , Yu Zhu , Yanning Zhang

The Laplace approximation is a popular method for constructing a Gaussian approximation to the Bayesian posterior and thereby approximating the posterior mean and variance. But approximation quality is a concern. One might consider using…

统计理论 · 数学 2025-06-17 Mikołaj J. Kasprzak , Ryan Giordano , Tamara Broderick

We propose a novel approach to Bayesian analysis that is provably robust to outliers in the data and often has computational advantages over standard methods. Our technique is based on splitting the data into non-overlapping subgroups,…

统计理论 · 数学 2016-06-03 Stanislav Minsker , Sanvesh Srivastava , Lizhen Lin , David B. Dunson

Despite recent advances, sampling-based inference for Bayesian Neural Networks (BNNs) remains a significant challenge in probabilistic deep learning. While sampling-based approaches do not require a variational distribution assumption,…

机器学习 · 计算机科学 2025-02-11 Emanuel Sommer , Jakob Robnik , Giorgi Nozadze , Uros Seljak , David Rügamer

We solve the problem of sparse signal deconvolution in the context of seismic reflectivity inversion, which pertains to high-resolution recovery of the subsurface reflection coefficients. Our formulation employs a nonuniform, non-convex…

In this paper we consider the simulation-based Bayesian analysis of stochastic volatility in mean (SVM) models. Extending the highly efficient Markov chain Monte Carlo mixture sampler for the SV model proposed in Kim et al. (1998) and Omori…

计量经济学 · 经济学 2024-11-21 Daichi Hiraki , Siddhartha Chib , Yasuhiro Omori

In this paper, we consider matrix completion with absolute deviation loss and obtain an estimator of the median matrix. Despite several appealing properties of median, the non-smooth absolute deviation loss leads to computational challenge…

机器学习 · 统计学 2020-06-19 Weidong Liu , Xiaojun Mao , Raymond K. W. Wong

Continual learning entails learning a sequence of tasks and balancing their knowledge appropriately. With limited access to old training samples, much of the current work in deep neural networks has focused on overcoming catastrophic…

机器学习 · 计算机科学 2023-10-16 Yilin Lyu , Liyuan Wang , Xingxing Zhang , Zicheng Sun , Hang Su , Jun Zhu , Liping Jing

In this work we investigate the problem of estimating the percolation centrality of every vertex in a graph. This centrality measure quantifies the importance of each vertex in a graph going through a contagious process. It is an open…

数据结构与算法 · 计算机科学 2020-02-18 Alane M. de Lima , Murilo V. G. da Silva , André L. Vignatti

Betweenness measures provide quantitative tools to pick out fine details from the massive amount of interaction data that is available from large complex networks. They allow us to study the extent to which a node takes part when…

物理与社会 · 物理学 2009-06-02 Ernesto Estrada , Desmond J. Higham , Naomichi Hatano
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