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A new model, called "Human Dynamics", has been recently proposed that individuals execute activities based on a perceived priority of tasks, which can be characterized by a power-law distribution of waiting time between consecutive tasks…

Computers and Society · Computer Science 2019-11-05 Jonathan J. H. Zhu , Tai-Quan Peng

Although the origin of the fat-tail characteristic of the degree distribution in complex networks has been extensively researched, the underlying cause of the degree distribution characteristic across the complete range of degrees remains…

Physics and Society · Physics 2023-11-07 Bin Zhou , Petter Holme , Zaiwu Gong , Choujun Zhan , Yao Huang , Xin Lu , Xiangyi Meng

We analyze dropout in deep networks with rectified linear units and the quadratic loss. Our results expose surprising differences between the behavior of dropout and more traditional regularizers like weight decay. For example, on some…

Machine Learning · Computer Science 2017-04-21 David P. Helmbold , Philip M. Long

We study the problem of online learning with dynamics, where a learner interacts with a stateful environment over multiple rounds. In each round of the interaction, the learner selects a policy to deploy and incurs a cost that depends on…

Machine Learning · Computer Science 2020-12-04 Kush Bhatia , Karthik Sridharan

This paper considers the design of observational longitudinal studies with a continuous response and a binary time-invariant exposure, where, typically, the exposure is unbalanced, the mean response in the two groups differs at baseline and…

Methodology · Statistics 2022-09-27 Xavier Basagana , Donna Spiegelman

When learning from streaming data, a change in the data distribution, also known as concept drift, can render a previously-learned model inaccurate and require training a new model. We present an adaptive learning algorithm that extends…

Machine Learning · Computer Science 2020-08-04 Ashraf Tahmasbi , Ellango Jothimurugesan , Srikanta Tirthapura , Phillip B. Gibbons

We propose a new preferential attachment-based network growth model in order to explain two properties of growing networks: (1) the power-law growth of node degrees and (2) the decay of node relevance. In preferential attachment models, the…

Physics and Society · Physics 2018-04-10 Jun Sun , Steffen Staab , Fariba Karimi

We consider an opportunistic spectrum access (OSA) problem where the time-varying condition of each channel (e.g., as a result of random fading or certain primary users' activities) is modeled as an arbitrary finite-state Markov chain. At…

Optimization and Control · Mathematics 2010-10-04 Cem Tekin , Mingyan Liu

Understanding the stability and long-time behavior of generative models is a fundamental problem in modern machine learning. This paper provides quantitative bounds on the sampling error of score-based generative models by leveraging…

Machine Learning · Statistics 2026-01-30 Stanislas Strasman , Gabriel Cardoso , Sylvain Le Corff , Vincent Lemaire , Antonio Ocello

We study a two-sided market, wherein, price-sensitive heterogeneous customers and servers arrive and join their respective queues. A compatible customer-server pair can then be matched by the platform, at which point, they leave the system.…

Machine Learning · Computer Science 2025-10-17 Zixian Yang , Sushil Mahavir Varma , Lei Ying

We use the properties of the Matuszewska indices to show asymptotic inequalities for hazard rates. We discuss the relation between membership in the classes of dominatedly or extended rapidly varying tail distributions and corresponding…

Probability · Mathematics 2012-03-26 Anastasios G. Bardoutsos , Dimitrios G. Konstantinides

Temporal-Difference learning (TD) [Sutton, 1988] with function approximation can converge to solutions that are worse than those obtained by Monte-Carlo regression, even in the simple case of on-policy evaluation. To increase our…

Machine Learning · Computer Science 2018-07-10 Hugo Penedones , Damien Vincent , Hartmut Maennel , Sylvain Gelly , Timothy Mann , Andre Barreto

Evaluating the performance of an ongoing policy plays a vital role in many areas such as medicine and economics, to provide crucial instructions on the early-stop of the online experiment and timely feedback from the environment. Policy…

Machine Learning · Statistics 2024-08-05 Ye Shen , Hengrui Cai , Rui Song

There are some real life issues that are exists in nature which has early failure. This type of problems can be modelled either by a complex distribution having more than one parameter or by finite mixture of some distribution. In this…

Statistics Theory · Mathematics 2024-08-30 Brijesh P. Singh , Utpal Dhar Das , Sandeep Singh

Generative Adversarial Imitation Learning (GAIL) stands as a cornerstone approach in imitation learning. This paper investigates the gradient explosion in two types of GAIL: GAIL with deterministic policy (DE-GAIL) and GAIL with stochastic…

Machine Learning · Computer Science 2023-12-19 Wanying Wang , Yichen Zhu , Yirui Zhou , Chaomin Shen , Jian Tang , Zhiyuan Xu , Yaxin Peng , Yangchun Zhang

This paper studies a long-term resource allocation problem over multiple periods where each period requires a multi-stage decision-making process. We formulate the problem as an online allocation problem in an episodic finite-horizon…

Data Structures and Algorithms · Computer Science 2023-10-20 Duksang Lee , William Overman , Dabeen Lee

With the known vulnerability of neural networks to distribution shift, maintaining reliability in learning-enabled cyber-physical systems poses a salient challenge. In response, many existing methods adopt a detect and abstain methodology,…

Machine Learning · Computer Science 2025-04-21 Vivian Lin , Insup Lee

Massive Open Online Courses (MOOCs) continue to see increasing enrolment, but only a small percent of enrolees completes the MOOCs. Whilst a lot of research has focused on predicting completion, there is little research analysing the…

Computers and Society · Computer Science 2020-08-12 Lei Shi , Alexandra I. Cristea , Armando M. Toda , Wilk Oliveira

Massive Open Online Courses (MOOCs) bring together a global crowd of thousands of learners for several weeks or months. In theory, the openness and scale of MOOCs can promote iterative dialogue that facilitates group cognition and knowledge…

Physics and Society · Physics 2023-01-05 Nabeel Gillani , Taha Yasseri , Rebecca Eynon , Isis Hjorth

In this paper a new distribution is proposed. This new model provides more flexibility to modeling data with upside-down bathtub hazard rate function. A significant account of mathematical properties of the new distribution is presented.…

Statistics Theory · Mathematics 2017-11-28 Pedro L. Ramos , Francisco Louzada , Taciana K. O. Shimizu , Aline O. Luiz