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In the study of small and large networks it is customary to perform a simple random walk, where the random walker jumps from one node to one of its neighbours with uniform probability. The properties of this random walk are intimately…

数据分析、统计与概率 · 物理学 2013-09-18 Jean-Charles Delvenne , Anne-Sophie Libert

We consider the problem of optimally allocating resources across a set of transmitters and receivers in a wireless network. The resulting optimization problem takes the form of constrained statistical learning, in which solutions can be…

信号处理 · 电气工程与系统科学 2020-07-15 Mark Eisen , Alejandro Ribeiro

Deep learning based methods hold state-of-the-art results in image denoising, but remain difficult to interpret due to their construction from poorly understood building blocks such as batch-normalization, residual learning, and feature…

图像与视频处理 · 电气工程与系统科学 2021-03-09 Nikola Janjušević , Amirhossein Khalilian-Gourtani , Yao Wang

Although large-scale labeled data are essential for deep convolutional neural networks (ConvNets) to learn high-level semantic visual representations, it is time-consuming and impractical to collect and annotate large-scale datasets. A…

计算机视觉与模式识别 · 计算机科学 2023-10-06 Huili Huang , M. Mahdi Roozbahani

Transformers have proven highly effective across various applications, especially in handling sequential data such as natural languages and time series. However, transformer models often lack clear interpretability, and the success of…

机器学习 · 计算机科学 2025-12-01 Wei Shi , Yuan Cao

In this paper, we present a novel approach based on the random walk process for finding meaningful representations of a graph model. Our approach leverages the transient behavior of many short random walks with novel initialization…

社会与信息网络 · 计算机科学 2018-05-14 Lin Li , William M. Campbell , Rajmonda S. Caceres

Particle filtering is used to compute good nonlinear estimates of complex systems. It samples trajectories from a chosen distribution and computes the estimate as a weighted average. Easy-to-sample distributions often lead to degenerate…

机器学习 · 计算机科学 2021-10-07 Fernando Gama , Nicolas Zilberstein , Richard G. Baraniuk , Santiago Segarra

Epidemiological models help policymakers mitigate disease spread by predicting transmission metrics based on disease dynamics and contact networks. Calibrating these models requires representative network sampling. We investigate the Random…

种群与进化 · 定量生物学 2025-06-11 Neha Bansal , Katerina Kaouri , Thomas E. Woolley

Random walks are ubiquitous in the sciences, and they are interesting from both theoretical and practical perspectives. They are one of the most fundamental types of stochastic processes; can be used to model numerous phenomena, including…

物理与社会 · 物理学 2020-04-13 Naoki Masuda , Mason A. Porter , Renaud Lambiotte

We propose a novel Bayesian approach to the problem of variable selection in multiple linear regression models. In particular, we present a hierarchical setting which allows for direct specification of a-priori beliefs about the number of…

统计计算 · 统计学 2019-03-14 Konstantin Posch , Maximilian Arbeiter , Jürgen Pilz

From Physics and Biology to Seismology and Economics, the behaviour of countless systems is determined by impactful yet unlikely transitions between metastable states known as \emph{rare events}, the study of which is essential for…

计算物理 · 物理学 2025-07-22 Solomon Asghar , Qing-Xiang Pei , Giorgio Volpe , Ran Ni

Learning representations of nodes in a low dimensional space is a crucial task with many interesting applications in network analysis, including link prediction and node classification. Two popular approaches for this problem include matrix…

社会与信息网络 · 计算机科学 2019-09-11 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

The Random Walk Metropolis (RWM) algorithm is a Metropolis- Hastings MCMC algorithm designed to sample from a given target distribution \pi with Lebesgue density on R^N. RWM constructs a Markov chain by randomly proposing a new position…

概率论 · 数学 2016-08-31 J. Kuntz , M. Ottobre , A. M. Stuart

The sampling of probability distributions specified up to a normalization constant is an important problem in both machine learning and statistical mechanics. While classical stochastic sampling methods such as Markov Chain Monte Carlo…

机器学习 · 统计学 2020-10-27 Hao Wu , Jonas Köhler , Frank Noé

Marginalising out uncertain quantities within the internal representations or parameters of neural networks is of central importance for a wide range of learning techniques, such as empirical, variational or full Bayesian methods. We set…

机器学习 · 统计学 2015-07-21 Justin Bayer , Maximilian Karl , Daniela Korhammer , Patrick van der Smagt

Progressive Neural Network Learning is a class of algorithms that incrementally construct the network's topology and optimize its parameters based on the training data. While this approach exempts the users from the manual task of designing…

机器学习 · 计算机科学 2020-05-26 Dat Thanh Tran , Moncef Gabbouj , Alexandros Iosifidis

Neural networks have been successfully applied in applications with a large amount of labeled data. However, the task of rapid generalization on new concepts with small training data while preserving performances on previously learned ones…

机器学习 · 计算机科学 2017-06-09 Tsendsuren Munkhdalai , Hong Yu

A big challenge in branch and bound lies in identifying the optimal node within the search tree from which to proceed. Current state-of-the-art selectors utilize either hand-crafted ensembles that automatically switch between naive sub-node…

机器学习 · 计算机科学 2024-06-06 Alexander Mattick , Christopher Mutschler

Forecasting the future trajectories of surrounding agents is crucial for autonomous vehicles to ensure safe, efficient, and comfortable route planning. While model ensembling has improved prediction accuracy in various fields, its…

机器学习 · 计算机科学 2024-09-23 Aron Distelzweig , Eitan Kosman , Andreas Look , Faris Janjoš , Denesh K. Manivannan , Abhinav Valada

Learning representations of neural network weights given a model zoo is an emerging and challenging area with many potential applications from model inspection, to neural architecture search or knowledge distillation. Recently, an…

机器学习 · 计算机科学 2022-09-30 Konstantin Schürholt , Boris Knyazev , Xavier Giró-i-Nieto , Damian Borth