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Probability estimation is one of the fundamental tasks in statistics and machine learning. However, standard methods for probability estimation on discrete objects do not handle object structure in a satisfactory manner. In this paper, we…

应用统计 · 统计学 2018-11-06 Cheng Zhang , Frederick A. Matsen

In this paper we deal with the structural properties of weighted networks. Starting from an empirical analysis of a linguistic network, we analyse the differences between the statistical properties of a real and a shuffled network and we…

数据分析、统计与概率 · 物理学 2009-09-07 A. P. Masucci , G. J. Rodgers

The assortative behavior of a network is the tendency of similar (or dissimilar) nodes to connect to each other. This tendency can have an influence on various properties of the network, such as its robustness or the dynamics of spreading…

社会与信息网络 · 计算机科学 2025-08-07 Marc Kaufmann , Ulysse Schaller , Thomas Bläsius , Johannes Lengler

Distributed machine learning (DML) over time-varying networks can be an enabler for emerging decentralized ML applications such as autonomous driving and drone fleeting. However, the commonly used weighted arithmetic mean model aggregation…

机器学习 · 计算机科学 2022-02-22 Haizhou Du , Ryan Yang , Yijian Chen , Qiao Xiang , Andre Wibisono , Wei Huang

In this work, we consider multitask learning problems where clusters of nodes are interested in estimating their own parameter vector. Cooperation among clusters is beneficial when the optimal models of adjacent clusters have a good number…

系统与控制 · 计算机科学 2016-11-03 Roula Nassif , Cédric Richard , André Ferrari , Ali H. Sayed

The edges in networks are not only binary, either present or absent, but also take weighted values in many scenarios (e.g., the number of emails between two users). The covariate-$p_0$ model has been proposed to model binary directed…

统计理论 · 数学 2021-07-24 MengXu , Qiuping Wang

We develop a statistical theory to characterize correlations in weighted networks. We define the appropriate metrics quantifying correlations and show that strictly uncorrelated weighted networks do not exist due to the presence of…

无序系统与神经网络 · 物理学 2009-11-11 M. Angeles Serrano , Marian Boguna , Romualdo Pastor-Satorras

Convolutional Neural Networks (CNNs) have a large number of parameters and take significantly large hardware resources to compute, so edge devices struggle to run high-level networks. This paper proposes a novel method to reduce the…

计算机视觉与模式识别 · 计算机科学 2023-01-27 Athul Shibu , Abhishek Kumar , Heechul Jung , Dong-Gyu Lee

Many real-world networks exhibit degree-assortativity, with nodes of similar degree more likely to link to one another. Particularly in social networks, the contribution to the total assortativity varies with degree, featuring a distinctive…

物理与社会 · 物理学 2016-03-08 I. Sendiña-Nadal , M. M. Danziger , Z. Wang , S. Havlin , S. Boccaletti

Current deep learning classifiers, carry out supervised learning and store class discriminatory information in a set of shared network weights. These weights cannot be easily altered to incrementally learn additional classes, since the…

计算机视觉与模式识别 · 计算机科学 2022-12-02 Penny Johnston , Keiller Nogueira , Kevin Swingler

Mixing patterns in large self-organizing networks, such as the Internet, the World Wide Web, social and biological networks are often characterized by degree-degree {dependencies} between neighbouring nodes. One of the problems with the…

概率论 · 数学 2014-02-03 Nelly Litvak , Remco van der Hofstad

Image classification from independent and identically distributed random variables is considered. Image classifiers are defined which are based on a linear combination of deep convolutional networks with max-pooling layer. Here all the…

统计理论 · 数学 2025-03-06 Michael Kohler , Adam Krzyzak , Alisha Sänger

Systems which consist of many localized constituents interacting with each other can be represented by complex networks. Consistently, network science has become highly popular in vast fields focusing on natural, artificial and social…

统计力学 · 物理学 2022-06-29 Rute Oliveira , Samuraí Brito , Luciano R. da Silva , Constantino Tsallis

Real networks exhibit nontrivial topological features such as heavy-tailed degree distribution, high clustering, and small-worldness. Researchers have developed several generative models for synthesizing artificial networks that are…

社会与信息网络 · 计算机科学 2014-02-04 Sadegh Motallebi , Sadegh Aliakbary , Jafar Habibi

We propose probabilistic task modelling -- a generative probabilistic model for collections of tasks used in meta-learning. The proposed model combines variational auto-encoding and latent Dirichlet allocation to model each task as a…

机器学习 · 计算机科学 2022-03-21 Cuong C. Nguyen , Thanh-Toan Do , Gustavo Carneiro

We consider the problem of personalized federated learning when there are known cluster structures within users. An intuitive approach would be to regularize the parameters so that users in the same cluster share similar model weights. The…

机器学习 · 计算机科学 2022-04-29 Boxiang Lyu , Filip Hanzely , Mladen Kolar

We investigate the role of degree correlation among nodes on the stability of complex networks, by studying spectral properties of randomly weighted matrices constructed from directed Erd\"{o}s-R\'enyi and scale-free random graph models. We…

统计力学 · 物理学 2007-05-23 Markus Brede , Sitabhra Sinha

We extend the study of a model of competitive cluster growth in an active medium to a basis of networks; this is done by adding nonlocal connections with probability $p$ to sites on a regular lattice, thus enabling one to interpolate…

统计力学 · 物理学 2010-12-10 N. Nirmal Thyagu , Anita Mehta

Feature ranking and selection is a widely used approach in various applications of supervised dimensionality reduction in discriminative machine learning. Nevertheless there exists significant evidence on feature ranking and selection…

机器学习 · 计算机科学 2021-05-04 Ozan Ozdenizci , Deniz Erdogmus

We show that neural networks trained by evolutionary reinforcement learning can enact efficient molecular self-assembly protocols. Presented with molecular simulation trajectories, networks learn to change temperature and chemical potential…

统计力学 · 物理学 2020-06-01 Stephen Whitelam , Isaac Tamblyn