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Bayesian networks are probabilistic graphical models often used in big data analytics. The problem of exact structure learning is to find a network structure that is optimal under certain scoring criteria. The problem is known to be NP-hard…

Artificial Intelligence · Computer Science 2017-03-22 Subhadeep Karan , Jaroslaw Zola

The decision and planning system for autonomous driving in urban environments is hard to design. Most current methods manually design the driving policy, which can be expensive to develop and maintain at scale. Instead, with imitation…

Robotics · Computer Science 2019-10-15 Jianyu Chen , Bodi Yuan , Masayoshi Tomizuka

In this paper we propose an on-line policy iteration (PI) algorithm for finite-state infinite horizon discounted dynamic programming, whereby the policy improvement operation is done on-line, only for the states that are encountered during…

Optimization and Control · Mathematics 2021-06-03 Dimitri Bertsekas

Many real-life applications involve controlling high-dimensional multi-agent systems in real-time. Existing optimal control solvers often suffer from the curse-of-dimensionality and require complete rerunning for each new problem setting.…

Optimization and Control · Mathematics 2026-05-15 Alan John Varghese , Shanqing Liu , Paula Chen , Yaochen Zhu , Jérôme Darbon , George Em Karniadakis

In this paper, we investigate the problem of enabling a drone to fly through a tilted narrow gap, without a traditional planning and control pipeline. To this end, we propose an end-to-end policy network, which imitates from the traditional…

Robotics · Computer Science 2019-08-06 Jiarong Lin , Luqi Wang , Fei Gao , Shaojie Shen , Fu Zhang

This paper describes Motion Planning Networks (MPNet), a computationally efficient, learning-based neural planner for solving motion planning problems. MPNet uses neural networks to learn general near-optimal heuristics for path planning in…

Robotics · Computer Science 2020-06-30 Ahmed H. Qureshi , Yinglong Miao , Anthony Simeonov , Michael C. Yip

In a conventional supervised learning setting, a machine learning model has access to examples of all object classes that are desired to be recognized during the inference stage. This results in a fixed model that lacks the flexibility to…

Computer Vision and Pattern Recognition · Computer Science 2020-01-27 Jathushan Rajasegaran , Munawar Hayat , Salman Khan , Fahad Shahbaz Khan , Ling Shao , Ming-Hsuan Yang

This paper is a step-by-step, self-contained guide to the complete training cycle of a Physics-Informed Neural Network (PINN) -- a topic that existing tutorials and guides typically delegate to automatic differentiation libraries without…

Numerical Analysis · Mathematics 2026-04-21 Abdeladhim Tahimi

Adaptive methods are popular within the control literature due to the flexibility and forgiveness they offer in the area of modelling. Neural network adaptive control is favorable specifically for the powerful nature of the machine learning…

Systems and Control · Electrical Eng. & Systems 2021-07-23 Nathan Lutes , K. Krishnamurthy , Venkata Sriram Siddhardh Nadendla , S. N. Balakrishnan

This article introduces GIT-Net, a deep neural network architecture for approximating Partial Differential Equation (PDE) operators, inspired by integral transform operators. GIT-NET harnesses the fact that differential operators commonly…

Machine Learning · Statistics 2023-12-06 Chao Wang , Alexandre Hoang Thiery

We introduce Dynamic Planning Networks (DPN), a novel architecture for deep reinforcement learning, that combines model-based and model-free aspects for online planning. Our architecture learns to dynamically construct plans using a learned…

Machine Learning · Computer Science 2019-02-05 Norman Tasfi , Miriam Capretz

Predicting the future states of surrounding traffic participants and planning a safe, smooth, and socially compliant trajectory accordingly is crucial for autonomous vehicles. There are two major issues with the current autonomous driving…

Robotics · Computer Science 2023-02-21 Zhiyu Huang , Haochen Liu , Jingda Wu , Chen Lv

In this paper, we present an initial attempt to learn evolution PDEs from data. Inspired by the latest development of neural network designs in deep learning, we propose a new feed-forward deep network, called PDE-Net, to fulfill two…

Numerical Analysis · Mathematics 2018-01-03 Zichao Long , Yiping Lu , Xianzhong Ma , Bin Dong

Continual learning systems face the dual challenge of preventing catastrophic forgetting while maintaining energy efficiency, particularly in resource-constrained environments. This paper introduces Pathway-based Progressive Inference…

Machine Learning · Computer Science 2025-06-24 Suyash Gaurav , Jukka Heikkonen , Jatin Chaudhary

We study physics-informed neural networks (PINNs) as numerical tools for the optimal control of semilinear partial differential equations. We first recall the classical direct and indirect viewpoints for optimal control of PDEs, and then…

Optimization and Control · Mathematics 2026-04-07 Zhen Zhang , Shanqing Liu , Alessandro Alla , Jerome Darbon , George Em Karniadakis

In the design of deep neural architectures, recent studies have demonstrated the benefits of grouping subnetworks into a larger network. For examples, the Inception architecture integrates multi-scale subnetworks and the residual network…

Computer Vision and Pattern Recognition · Computer Science 2017-10-02 Jia-Ren Chang , Yong-Sheng Chen

Continual learning constrains models to learn new tasks over time without forgetting what they have already learned. A key challenge in this setting is catastrophic forgetting, where learning new information causes the model to lose its…

Machine Learning · Computer Science 2025-12-10 Federico Di Valerio , Michela Proietti , Alessio Ragno , Roberto Capobianco

Pruning at initialization (PaI) reduces training costs by removing weights before training, which becomes increasingly crucial with the growing network size. However, current PaI methods still have a large accuracy gap with iterative…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Shengkai Liu , Yaofeng Cheng , Fusheng Zha , Wei Guo , Lining Sun , Zhenshan Bing , Chenguang Yang

Physics-Informed Neural Networks (PINN) are a machine learning tool that can be used to solve direct and inverse problems related to models described by Partial Differential Equations. This paper proposes an adaptive inverse PINN applied to…

Numerical Analysis · Mathematics 2024-11-28 Marco Berardi , Fabio Difonzo , Matteo Icardi

This paper presents a tutorial and survey on Probabilistic Inference-based Model Predictive Control (PI-MPC). PI-MPC reformulates finite-horizon optimal control as inference over an optimal control distribution expressed as a Boltzmann…

Robotics · Computer Science 2026-04-09 Kohei Honda