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We study the problem of learning the Markov order in categorical sequences that represent paths in a network, i.e. sequences of variable lengths where transitions between states are constrained to a known graph. Such data pose challenges…

Machine Learning · Computer Science 2020-07-07 Luka V. Petrović , Ingo Scholtes

Many complex systems exhibit interactions that depend not only on pairwise connections, but also group structures and memory effects. To capture such effects, we develop a unified tensor framework for modeling higher-order Markov chains…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Shaoxuan Cui , Lingfei Wang , Hildeberto Jardon-Kojakhmetov , Karl Henrik Johansson , Ming Cao

Experiments, in particular on biological systems, typically probe lower-dimensional observables which are projections of high-dimensional dynamics. In order to infer consistent models capturing the relevant dynamics of the system, it is…

Statistical Mechanics · Physics 2025-11-18 Xizhu Zhao , Dmitrii E. Makarov , Aljaž Godec

When humans control drones, cars, and robots, we often have some preconceived notion of how our inputs should make the system behave. Existing approaches to teleoperation typically assume a one-size-fits-all approach, where the designers…

Robotics · Computer Science 2020-07-24 Mengxi Li , Dylan P. Losey , Jeannette Bohg , Dorsa Sadigh

Variable order sequence modeling is an important problem in artificial and natural intelligence. While overcomplete Hidden Markov Models (HMMs), in theory, have the capacity to represent long-term temporal structure, they often fail to…

We consider the problem of learning graphical models, also known as Markov random fields (MRFs) from temporally correlated samples. As in many traditional statistical settings, fundamental results in the area all assume independent samples…

Machine Learning · Computer Science 2024-11-05 Jason Gaitonde , Ankur Moitra , Elchanan Mossel

Industrial processes generate a massive amount of monitoring data that can be exploited to uncover hidden time losses in the system. This can be used to enhance the accuracy of maintenance policies and increase the effectiveness of the…

Applications · Statistics 2025-08-27 Fernando Miguelez , Josu Doncel , Maria Dolores Ugarte

In real-world reinforcement learning (RL) scenarios, agents often encounter partial observability, where incomplete or noisy information obscures the true state of the environment. Partially Observable Markov Decision Processes (POMDPs) are…

Machine Learning · Computer Science 2025-05-19 Ashok Arora , Neetesh Kumar

As humanoid robots enter real-world environments, ensuring robust locomotion across diverse environments is crucial. This paper presents a computationally efficient hierarchical control framework for humanoid robot locomotion based on…

Robotics · Computer Science 2025-09-08 Adrian B. Ghansah , Sergio A. Esteban , Aaron D. Ames

We investigate a learning decision support system for vehicle routing, where the routing engine learns implicit preferences that human planners have when manually creating route plans (or routings). The goal is to use these learned…

Artificial Intelligence · Computer Science 2021-01-12 Rocsildes Canoy , Víctor Bucarey , Jayanta Mandi , Tias Guns

Traditional approaches to ranking in web search follow the paradigm of rank-by-score: a learned function gives each query-URL combination an absolute score and URLs are ranked according to this score. This paradigm ensures that if the score…

Machine Learning · Computer Science 2012-07-03 Or Sheffet , Nina Mishra , Samuel Ieong

Hidden Markov jump processes are an attractive approach for modeling clinical disease progression data because they are explainable and capable of handling both irregularly sampled and noisy data. Most applications in this context consider…

Methodology · Statistics 2019-10-15 Rui Meng , Soper Braden , Jan Nygard , Mari Nygrad , Herbert Lee

For complex, high-dimensional Markov Decision Processes (MDPs), it may be necessary to represent the policy with function approximation. A problem is misspecified whenever, the representation cannot express any policy with acceptable…

Machine Learning · Computer Science 2016-06-09 Daniel J. Mankowitz , Timothy A. Mann , Shie Mannor

Hidden Markov models (HMMs) are one of the most widely used statistical methods for analyzing sequence data. However, the reporting of output from HMMs has largely been restricted to the presentation of the most-probable (MAP) hidden state…

Methodology · Statistics 2015-05-01 Michalis K. Titsias , Christopher Yau , Christopher C. Holmes

Online map matching is a fundamental problem in location-based services, aiming to incrementally match trajectory data step-by-step onto a road network. However, existing methods fail to meet the needs for efficiency, robustness, and…

Machine Learning · Computer Science 2025-03-21 Minxiao Chen , Haitao Yuan , Nan Jiang , Zhihan Zheng , Sai Wu , Ao Zhou , Shangguang Wang

Individual-level human mobility prediction has emerged as a significant topic of research with applications in infectious disease monitoring, child, and elderly care. Existing studies predominantly focus on the microscopic aspects of human…

Machine Learning · Computer Science 2025-08-20 Yueyang Liu , Lance Kennedy , Ruochen Kong , Joon-Seok Kim , Andreas Züfle

We introduce LAMP: the Linear Additive Markov Process. Transitions in LAMP may be influenced by states visited in the distant history of the process, but unlike higher-order Markov processes, LAMP retains an efficient parametrization. LAMP…

Machine Learning · Computer Science 2017-04-06 Ravi Kumar , Maithra Raghu , Tamas Sarlos , Andrew Tomkins

In scenarios involving the grasping of multiple targets, the learning of stacking relationships between objects is fundamental for robots to execute safely and efficiently. However, current methods lack subdivision for the hierarchy of…

Robotics · Computer Science 2023-06-27 Zewen Wu , Jian Tang , Xingyu Chen , Chengzhong Ma , Xuguang Lan , Nanning Zheng

Human motion prediction (HMP) has emerged as a popular research topic due to its diverse applications, but it remains a challenging task due to the stochastic and aperiodic nature of future poses. Traditional methods rely on hand-crafted…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Jiexin Wang , Yujie Zhou , Wenwen Qiang , Ying Ba , Bing Su , Ji-Rong Wen

In this paper, we provide a novel algorithm for solving planning and learning problems of Markov decision processes. The proposed algorithm follows a policy iteration-type update by using a rank-one approximation of the transition…

Optimization and Control · Mathematics 2025-10-23 Arman Sharifi Kolarijani , Tolga Ok , Peyman Mohajerin Esfahani , Mohamad Amin Sharif Kolarijani