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Modeling response surfaces with abrupt jumps and discontinuities remains a major challenge across scientific and engineering domains. Although Gaussian process models excel at capturing smooth nonlinear relationships, their stationarity…

机器学习 · 统计学 2025-12-16 Isaac Adjetey , Yiyuan She

This paper presents a neural-enhanced probabilistic model and corresponding factor graph-based sum-product algorithm for robust localization and tracking in multipath-prone environments. The introduced hybrid probabilistic model consists of…

信号处理 · 电气工程与系统科学 2023-11-30 Alexander Venus , Erik Leitinger , Stefan Tertinek , Klaus Witrisal

The theory of continuous-time reinforcement learning (RL) has progressed rapidly in recent years. While the ultimate objective of RL is typically to learn deterministic control policies, most existing continuous-time RL methods rely on…

机器学习 · 计算机科学 2026-03-17 Ziheng Cheng , Xin Guo , Yufei Zhang

We present a novel Recurrent Graph Network (RGN) approach for predicting discrete marked event sequences by learning the underlying complex stochastic process. Using the framework of Point Processes, we interpret a marked discrete event…

机器学习 · 计算机科学 2022-08-12 Saurabh Dash , Xueyuan She , Saibal Mukhopadhyay

Evidence theory is widely used in decision-making and reasoning systems. In previous research, Transferable Belief Model (TBM) is a commonly used evidential decision making model, but TBM is a non-preference model. In order to better fit…

人工智能 · 计算机科学 2024-03-12 Tianxiang Zhan , Zhen Li , Yong Deng

Social networks as a representation of relational data, often possess multiple types of dependency structures at the same time. There could be clustering (beyond homophily) at a macro level as well as transitivity (a friend's friend is more…

统计方法学 · 统计学 2017-04-04 Ming Cao

Autonomous mobile agents often operate in hazardous environments, necessitating an awareness of safety. These agents can have non-linear, stochastic dynamics that must be considered during planning to guarantee bounded risk. Most state of…

机器人学 · 计算机科学 2024-04-11 Marlyse Reeves , Brian C. Williams

The Random Geometric Graph (RGG) is a random graph model for network data with an underlying spatial representation. Geometry endows RGGs with a rich dependence structure and often leads to desirable properties of real-world networks such…

社会与信息网络 · 计算机科学 2022-08-25 Quentin Duchemin , Yohann de Castro

Longitudinal binary relational data can be better understood by implementing a latent space model for dynamic networks. This approach can be broadly extended to many types of weighted edges by using a link function to model the mean of the…

统计方法学 · 统计学 2020-05-19 Daniel K. Sewell , Yuguo Chen

We introduce an \verb|R| package, called \verb|MPS|, for computing the probability density function, computing the cumulative distribution function, computing the quantile function, simulating random variables, and estimating the parameters…

统计计算 · 统计学 2018-09-11 Mahdi Teimouri

We propose an autoregressive framework for modelling dynamic networks with dependent edges. It encompasses models that accommodate, for example, transitivity, degree heterogenenity, and other stylized features often observed in real network…

统计理论 · 数学 2026-03-25 Jinyuan Chang , Qin Fang , Eric D. Kolaczyk , Peter W. MacDonald , Qiwei Yao

The uncertainties in material and other properties of structures are usually spatially correlated. We introduce an efficient technique for representing and processing spatially correlated random fields in robust topology optimisation of…

数值分析 · 数学 2023-12-27 Ismael Ben-Yelun , Ahmet Oguzhan Yuksel , Fehmi Cirak

We introduce Mercator, a reliable embedding method to map real complex networks into their hyperbolic latent geometry. The method assumes that the structure of networks is well described by the Popularity$\times$Similarity…

物理与社会 · 物理学 2019-04-25 Guillermo García-Pérez , Antoine Allard , M. Ángeles Serrano , Marián Boguñá

The Latent Block Model (LBM) is a model-based method to cluster simultaneously the $d$ columns and $n$ rows of a data matrix. Parameter estimation in LBM is a difficult and multifaceted problem. Although various estimation strategies have…

统计理论 · 数学 2020-02-26 Vincent Brault , Christine Keribin , Mahendra Mariadassou

Latent space models are popular for analyzing dynamic network data. We propose a variational approach to estimate the model parameters as well as the latent positions of the nodes in the network. The variational approach is much faster than…

统计方法学 · 统计学 2021-06-01 Yan Liu , Yuguo Chen

We connect two random graph models, the Popularity Adjusted Block Model (PABM) and the Generalized Random Dot Product Graph (GRDPG), by demonstrating that the PABM is a special case of the GRDPG in which communities correspond to mutually…

机器学习 · 统计学 2022-06-13 John Koo , Minh Tang , Michael W. Trosset

Graph embedding has been widely applied in areas such as network analysis, social network mining, recommendation systems, and bioinformatics. However, current graph construction methods often require the prior definition of neighborhood…

机器学习 · 计算机科学 2025-10-08 S. Peng , L. Hu , W. Zhang , B. Jie , Y. Luo

We present Re-weighted Gradient Descent (RGD), a novel optimization technique that improves the performance of deep neural networks through dynamic sample re-weighting. Leveraging insights from distributionally robust optimization (DRO)…

机器学习 · 计算机科学 2024-10-15 Ramnath Kumar , Kushal Majmundar , Dheeraj Nagaraj , Arun Sai Suggala

This paper investigates a new approach to estimate the gradient of the conditional probability given the covariates in the binary classification framework. The proposed approach consists in fitting a localized nearest-neighbor logistic…

统计理论 · 数学 2025-01-20 Touqeer Ahmad , François Portier , Gilles Stupfler

Deep neural networks (DNNs) are a contemporary solution for semantic segmentation and are usually trained to operate on a predefined closed set of classes. In open-set environments, it is possible to encounter semantically unknown objects…

计算机视觉与模式识别 · 计算机科学 2024-12-17 Jurica Runtas , Tomislav Petkovic