Agents' dynamics are considered using various motion models. They are appplied to moving humans and vessels.

**Path Planning with Limited Visibility**

We apply probability propagation to the determination of paths in discrete grids with agents' dynamics modeled as Markov Decision Processes. The probability flow is used to determine best solutions when there is only partial knowledge of the obstacle map and the goal. Distributed probability is used in the backward flow to attract the agent towards unknown regions in a sequence of exploration/exploitation steps.

A simulation in which an agent looks for an hidden target.

A simulation where an agent looks for a parking spot in a garage-like grid. The grey pixels are occupied spots and the red ones are free spots (goals).

- Francesco A. N. Palmieri, Krishna R. Pattipati, Giovanni Fioretti, Francesco Verolla, Giovanni Di Gennaro, Amedeo Buonanno, "
*Exploration/Exploitation in Path Planning Using Probability Propagation*," IEEE International Conference on Robotics and Automation (ICRA), 2nd Workshop on Long-Term Human Motion Prediction (LHMP), June 2, 2020. (Draft available here)

**Path Modeling with a Probabilistic Tensor Flow**

We have proposed a model for path determination based on probability propagation on a Markov Chain. The backward flow meets with the forward flow and provides guidance to agents in finding best paths. The model has been extended to multiple goals and multiple agents. Behaviors are very realistic and show the real potential of this framework.

A simulation with agents moving in a lattice built to resemble a train station with ticket counters, shops, doors and platforms.

- Francesco A. N. Palmieri, Krishna R. Pattipati, Giovanni Fioretti, Giovanni Di Gennaro, Amedeo Buonanno, "
*Path Planning Using Probability Tensor Flows*," arXiv:2003.02774, submitted for journal publication.

**Dynamic Models for Human Dynamics**

Polar histograms are used to build prediction models for agents moving in unstructured environments.

- Coscia P., Ballan L., Palmieri F.A.N., Alahi A., Savarese S., "
*Linear Artificial Forces for Human Dynamics in Complex Contexts*." In: Esposito A., Faundez-Zanuy M., Morabito F., Pasero E. (eds) Neural Approaches to Dynamics of Signal Exchanges. Smart Innovation, Systems and Technologies, vol 151. Springer, Singapore; First Online: 19 September 2019; DOI https://doi.org/10.1007/978-981-13-8950-4_3; Print ISBN 978-981-13-8949-8; Online ISBN 978-981-13-8950-4; Also presented at the Italian Workshop on Neural Networks, WIRN 2018, June 13-15, 2018. - Pasquale Coscia, Francesco Castaldo, Francesco A.N. Palmieri, Alexandre Alahi, Silvio Savarese, Lamberto Balland, "
*Long-term Path Prediction in Urban Scenarios using Circular Distributions*," Image and Vision Computing, Springer, (Available on-line since 5 December 2017), Vol. 69, pp. 81-91, 2018, https://doi.org/10.1016/j.imavis.2017.11.006 - P. Coscia, F. Castaldo, F. A. N. Palmieri, L. Ballan, A. Alahi and S. Savarese, "
*Point-based path prediction from polar histograms*," 2016 19th International Conference on Information Fusion (FUSION), Heidelberg, July 5-8 2016, pp. 1961-1967, ISBN: 9780996452748.

Various scenarios have been experimented to model agentsâ€™ motion in urban areas.

- L. Ballan, F. Castaldo, A. Alahi, F. Palmieri, S. Savarese, "
*Knowledge transfer for scene-specific motion prediction*," Proceedings of European Conference on Computer Vision (ECCV2016), Amsterdam, Oct. 11-14, 2016, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Springer, pp. 697-713,; ISBN: 9783319464473; DOI: 10.1007/978-3-319-46448-0_42

**Cross-view Matching**

We propose an automatic method for detecting and representing the semantic information of an RGB image with the goal of performing cross-view matching with a (non-RGB) geographic information system (GIS).

- F. Castaldo, A. Zamir, R. Angst, F. A. N. Palmieri, S. Savarese, "
*Semantic Cross-View Matching*," The IEEE International Conference on Computer Vision (ICCV) Workshops, 2015, pp. 9-17, [Best Paper Honorable Mention Award], available on line link, and also on arXiv:1511.00098v1.

**Vessel Behaviour Modelling for Maritime Environments**

Various models for motion have been applied to ships in realistic environments.

- Pasquale Coscia, Paolo Braca, Leonardo Maria Millefiori, Francesco A. N. Palmieri, Peter Willett, "
*Unsupervised Maritime Traffic Graph Learning with Mean-Reverting Stochastic Processes*," Proceedings of the 2018 21st International Conference on Information Fusion (FUSION 2018), Cambridge UK, 10-13 July 2018, p. 1822 - 1828, DOI: 10.23919/ICIF.2018.8455392, Electronic ISBN: 978-0-9964527-6-2 USB ISBN: 978-0-9964527-7-9. - P. Coscia, P. Braca, L. M. Millefiori, F. A. N. Palmieri and P. Willett, "
*Multiple Ornstein-Uhlenbeck Processes for Maritime Traffic Graph Representation*," in IEEE Transactions on Aerospace and Electronic Systems, vol. 54, Issue 5, Oct. 2018, pp. 2158-2170; doi: 10.1109/TAES.2018.2808098; Print ISSN: 0018-9251; Online ISSN: 1557-9603.

- F. Castaldo, F. A. N. Palmieri and C. S. Regazzoni, "
*Bayesian Analysis of Behaviors and Interactions for Situation Awareness in Transportation Systems*," in IEEE Transactions on Intelligent Transportation Systems, vol. 17, no. 2, pp. 313-322, Feb. 2016; doi: 10.1109/TITS.2015.2466695; ISSN : 1524-9050; (Published on 28 August 2015). - Castaldo F., Palmieri F.A.N., Regazzoni C., "
*Application of Bayesian Techniques to Behavior Analysis in Maritime Environments*". In: Bassis S., Esposito A., Morabito F. (eds) Advances in Neural Networks: Computational and Theoretical Issues. Smart Innovation, Systems and Technologies, vol 37. Springer, Cham (WIRN 2014); DOI: https://doi.org/10.1007/978-3-319-18164-6_17; Publisher Name: Springer, Cham; Print ISBN: 978-3-319-18163-9; Online ISBN: 978-3-319-18164-6 (2015). - F. Castaldo, V. Bastani, L. Marcenaro, F. A. N. Palmieri and C. Regazzoni, "
*Abnormal Vessel Behavior Detection in Port Areas Based on Dynamic Bayesian Networks*," Proceedings of the 17th International Conference on Information Fusion, FUSION 2014, July 7-10, Salamanca, Spain. - F. Castaldo, F. A.N. Palmieri, V. Bastani, L. Marcenaro and Carlo Regazzoni, "
*Bayesian Analysis of Ship-to-Ship Interactions for Port Safety*," Proceedings of the IEEE International Conference on Advanced Video and Signal-Based Surveillance, AVSS2014, Aug 26-29, 2014, HanaSquare, Seoul, Korea. DOI: 10.1109/AVSS.2014.6918688