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Stochastic gradient methods are among the most widely used algorithms for large-scale optimization and machine learning. A key technique for improving the statistical efficiency and stability of these methods is the use of averaging schemes…

Optimization and Control · Mathematics 2026-03-11 K. Lakshmanan

A Markov chain (MC) formalism is used to investigate the mean-square displacement (MSD) of a random walker on Newman-Watts (NW) networks. It leads to a precise analysis of the conditions for the emergence of anomalous sub- or…

In this paper, we study a system in which a sensor forwards status updates to a receiver through an error-prone channel, while the receiver sends the transmission results back to the sensor via a reliable channel. Both channels are subject…

Information Theory · Computer Science 2025-02-25 Hongyi He , Haoyue Tang , Jiayu Pan , Jintao Wang , Jian Song , Leandros Tassiulas

Peer grading is an educational system in which students assess each other's work. It is commonly applied under Massive Open Online Course (MOOC) and offline classroom settings. With this system, instructors receive a reduced grading…

Applications · Statistics 2025-10-01 Giuseppe Mignemi , Yunxiao Chen , Irini Moustaki

We propose a reinforcement learning (RL) framework for multi-objective decision-making, where the agent seeks to optimize a vector of rewards rather than a single scalar value. The objective is to ensure that the time-averaged reward vector…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Rahul Misra , Manuela L. Bujorianu , Rafał Wisniewski

We present two methodologies on the estimation of rating transition probabilities within Markov and non-Markov frameworks. We first estimate a continuous-time Markov chain using discrete (missing) data and derive a simpler expression for…

Risk Management · Quantitative Finance 2020-02-04 Marius Pfeuffer , Goncalo dos Reis , Greig smith

Deployed machine learning models should be updated to take advantage of a larger sample size to improve performance, as more data is gathered over time. Unfortunately, even when model updates improve aggregate metrics such as accuracy, they…

Machine Learning · Computer Science 2023-05-09 George Adam , Benjamin Haibe-Kains , Anna Goldenberg

One of the notorious issues for Reinforcement Learning (RL) is poor sample efficiency. Compared to single agent RL, the sample efficiency for Multi-Agent Reinforcement Learning (MARL) is more challenging because of its inherent partial…

Machine Learning · Computer Science 2024-04-16 Linjie Xu , Zichuan Liu , Alexander Dockhorn , Diego Perez-Liebana , Jinyu Wang , Lei Song , Jiang Bian

The paper presents efficient approaches for evaluating convergence rate in total variation for finite and general linear Markov chains. The motivation for studying convergence rate in this metric is its usefulness in various limit theorems.…

Probability · Mathematics 2026-01-21 Alexander Veretennikov

We consider the batch (off-line) policy learning problem in the infinite horizon Markov Decision Process. Motivated by mobile health applications, we focus on learning a policy that maximizes the long-term average reward. We propose a…

Statistics Theory · Mathematics 2022-09-20 Peng Liao , Zhengling Qi , Runzhe Wan , Predrag Klasnja , Susan Murphy

Grade prediction for future courses not yet taken by students is important as it can help them and their advisers during the process of course selection as well as for designing personalized degree plans and modifying them based on their…

Computers and Society · Computer Science 2019-04-29 Sara Morsy , George Karypis

This study introduces a novel approach for learning mixtures of Markov chains, a critical process applicable to various fields, including healthcare and the analysis of web users. Existing research has identified a clear divide in…

Machine Learning · Computer Science 2024-05-27 Fabian Spaeh , Konstantinos Sotiropoulos , Charalampos E. Tsourakakis

Optimization-based meta-learning aims to learn an initialization so that a new unseen task can be learned within a few gradient updates. Model Agnostic Meta-Learning (MAML) is a benchmark algorithm comprising two optimization loops. The…

Machine Learning · Computer Science 2024-05-28 S. Tiwari , M. Gogoi , S. Verma , K. P. Singh

This study introduces a computationally efficient algorithm, delayed acceptance Markov chain Monte Carlo (DA-MCMC), designed to improve posterior simulation in quasi-Bayesian inference. Quasi-Bayesian methods, which do not require fully…

Computation · Statistics 2026-02-16 Masahiro Tanaka

The task of Long-tailed Class Incremental Learning (LT-CIL) addresses the sequential learning of new classes from datasets with imbalanced class distributions. This scenario intensifies the fundamental problem of catastrophic forgetting,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-06 Taigo Sakai , Kazuhiro Hotta

We propose a novel Markov chain Monte-Carlo (MCMC) method for reverse engineering the topological structure of stochastic reaction networks, a notoriously challenging problem that is relevant in many modern areas of research, like…

Methodology · Statistics 2018-10-08 Daniel F. Linder , Grzegorz A. Rempala

Few-shot class-incremental learning (FSCIL) aims to learn sequential classes with limited samples in a few-shot fashion. Inherited from the classical class-incremental learning setting, the popular benchmark of FSCIL uses averaged accuracy…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Yu-Ming Tang , Yi-Xing Peng , Jingke Meng , Wei-Shi Zheng

Ratios of normalizing constants for two distributions are needed in both Bayesian statistics, where they are used to compare models, and in statistical physics, where they correspond to differences in free energy. Two approaches have long…

Statistics Theory · Mathematics 2007-06-13 Radford M. Neal

Massive MIMO is one of the main features of 5G mobile radio systems. However, it often leads to high cost, size and power consumption. To overcome these issues, the use of constrained radio frequency (RF) frontends has been proposed, as…

Signal Processing · Electrical Eng. & Systems 2021-11-16 Brenda Vilas Boas , Wolfgang Zirwas , Martin Haardt

Recently a machine learning approach to Monte-Carlo simulations called Neural Markov Chain Monte-Carlo (NMCMC) is gaining traction. In its most popular form it uses neural networks to construct normalizing flows which are then trained to…

Machine Learning · Statistics 2022-03-01 Piotr Bialas , Piotr Korcyl , Tomasz Stebel