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AYANA - 2025

2025Activity reportTeam‌AYANA

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Creation​​ of the Team: 2020​​​‌ January 01

Each year,‌ Inria research teams publish‌​‌ an Activity Report presenting​​ their work and results​​​‌ over the reporting period.‌ These reports follow a‌​‌ common structure, with some​​ optional sections depending on​​​‌ the specific team. They‌ typically begin by outlining‌​‌ the overall objectives and​​ research programme, including the​​​‌ main research themes, goals,‌ and methodological approaches. They‌​‌ also describe the application​​ domains targeted by the​​​‌ team, highlighting the scientific‌ or societal contexts in‌​‌ which their work is​​ situated.

The reports then​​​‌ present the highlights of‌ the year, covering major‌​‌ scientific achievements, software developments,​​ or teaching contributions. When​​​‌ relevant, they include sections‌ on software, platforms, and‌​‌ open data, detailing the​​​‌ tools developed and how​ they are shared. A​‌ substantial part is dedicated​​ to new results, where​​​‌ scientific contributions are described​ in detail, often with​‌ subsections specifying participants and​​ associated keywords.

Finally, the​​​‌ Activity Report addresses funding,​ contracts, partnerships, and collaborations​‌ at various levels, from​​ industrial agreements to international​​​‌ cooperations. It also covers​ dissemination and teaching activities,​‌ such as participation in​​ scientific events, outreach, and​​​‌ supervision. The document concludes​ with a presentation of​‌ scientific production, including major​​ publications and those produced​​​‌ during the year.

Keywords​

Computer Science and Digital​‌ Science

  • A2.3.1. Embedded systems​​
  • A5.9.2. Estimation, modeling
  • A5.9.4.​​​‌ Signal processing over graphs​
  • A5.9.6. Optimization tools
  • A9.2.1.​‌ Supervised learning
  • A9.2.2. Unsupervised​​ learning
  • A9.2.5. Bayesian methods​​​‌
  • A9.2.6. Neural networks
  • A9.2.8.​ Deep learning
  • A9.3. Signal​‌ processing
  • A9.12.1. Object recognition​​
  • A9.12.5. Object tracking and​​​‌ motion analysis
  • A9.12.6. Object​ localization

Other Research Topics​‌ and Application Domains

  • B3.3.1.​​ Earth and subsoil
  • B3.3.2.​​​‌ Water: sea & ocean,​ lake & river
  • B3.3.3.​‌ Nearshore
  • B3.4. Risks
  • B3.5.​​ Agronomy
  • B3.6. Ecology
  • B8.3.​​​‌ Urbanism and urban planning​
  • B8.4. Security and personal​‌ assistance

1 Team members,​​ visitors, external collaborators

Research​​​‌ Scientist

  • Josiane Zerubia [​Team leader, INRIA​‌, Senior Researcher,​​ HDR]

PhD Students​​​‌

  • Louis Hauseux [UNIV​ COTE D'AZUR]
  • Priscilla​‌ Indira Osa [UNIV​​ GENES]

Administrative Assistant​​​‌

  • Nathalie Nordmann [INRIA​]

External Collaborators

  • Pierre​‌ Charbonnier [Cerema Strasbourg​​, Head of the​​​‌ ENDSUM team, HDR​]
  • Zoltan Kato [​‌UNIV SZEGED (HUN),​​ full professor, Institut of​​​‌ Informatics, HDR]​
  • Gabriele Moser [UNIV​‌ GENES, full professor,​​ DITEN, HDR]​​​‌
  • Martina Pastorino [UNIV​ GENES, assistant professor,​‌ DITEN]
  • Sebastiano Serpico​​ [UNIV GENES,​​​‌ full professor, DITEN,​ HDR]

2 Overall​‌ objectives

The AYANA AEx​​ is an interdisciplinary project​​​‌ using knowledge in stochastic​ modeling, image processing, artificial​‌ intelligence, remote sensing and​​ embedded electronics/computing. The aerospace​​​‌ sector is expanding and​ changing ("New Space"). It​‌ is currently undergoing a​​ great many changes both​​​‌ from the point of​ view of the sensors​‌ at the spectral level​​ (uncooled IRT, far ultraviolet,​​​‌ etc.) and at the​ material level (the arrival​‌ of nano-technologies or the​​ new generation of "Systems​​​‌ on Chips" (SoCs) for​ example), and from the​‌ point of view of​​ the carriers of these​​​‌ sensors: high resolution geostationary​ satellites; Leo-type low-orbiting satellites;​‌ or mini-satellites and industrial​​ cube-sats in constellation. AYANA​​​‌ will work on a​ large number of data,​‌ consisting of very large​​ images, having very varied​​​‌ resolutions and spectral components,​ and forming time series​‌ at frequencies of 1​​ to 60 Hz. For​​​‌ the embedded electronics/computing part,​ AYANA will work in​‌ close collaboration with specialists​​ in the field located​​​‌ in Europe, working at​ space agencies and/or for​‌ industrial contractors.

3 Research​​ program

3.1 FAULTS R​​​‌ GEMS: Properties of faults,​ a key to realistic​‌ generic earthquake modeling and​​ hazard simulation

Decades of​​​‌ research on earthquakes have​ yielded meager prospects for​‌ earthquake predictability: we cannot​​ predict the time, location​​ and magnitude of a​​​‌ forthcoming earthquake with sufficient‌ accuracy for immediate societal‌​‌ value. Therefore, the best​​ we can do is​​​‌ to mitigate their impact‌ by anticipating the most‌​‌ “destructive properties” of the​​ largest earthquakes to come:​​​‌ longest extent of rupture‌ zones, largest magnitudes, amplitudes‌​‌ of displacements, accelerations of​​ the ground. This topic​​​‌ has motivated many studies‌ in the last decades.‌​‌ Yet, despite these efforts,​​ major discrepancies still remain​​​‌ between available model outputs‌ and natural earthquake behaviors.‌​‌ An important source of​​ discrepancy is related to​​​‌ the incomplete integration of‌ actual geometrical and mechanical‌​‌ properties of earthquake causative​​ faults in existing rupture​​​‌ models. We first aim‌ to document the compliance‌​‌ of rocks in natural​​ permanent damage zones. These​​​‌ data –key to earthquake‌ modeling– are presently lacking.‌​‌ A second objective is​​ to introduce the observed​​​‌ macroscopic fault properties –compliant‌ permanent damage, segmentation, maturity–‌​‌ into 3D dynamic earthquake​​ models. A third objective​​​‌ is to conduct a‌ pilot study aiming at‌​‌ examining the gain of​​ prior fault property and​​​‌ rupture scenario knowledge for‌ Earthquake Early Warning (EEW).‌​‌ This research project is​​ partially funded by the​​​‌ ANR Fault R Gems‌, whose PI is‌​‌ Prof. I. Manighetti from​​ Geoazur. Two successive​​​‌ postdocs (Barham Jafrasteh‌ and Bilel Kanoun)‌​‌ have worked on this​​ research topic funded by​​​‌ UCA-Jedi.

3.2 Probabilistic‌ models on graphs and‌​‌ machine learning in remote​​ sensing applied to natural​​​‌ disaster response

We currently‌ develop novel probabilistic graphical‌​‌ models combined with machine​​ learning in order to​​​‌ manage natural disasters such‌ as earthquakes, flooding and‌​‌ fires. The first model​​ introduces a semantic component​​​‌ to the graph at‌ the current scale of‌​‌ the hierarchical graph, and​​ necessitates a new graph​​​‌ probabilistic model. The quad-tree‌ proposed by Ihsen Hedhli‌​‌ in AYIN team in​​ 2016 is no longer​​​‌ fit to resolve this‌ issue. Applications from urban‌​‌ reconstruction or reforestation after​​ natural disasters will be​​​‌ achieved on images from‌ Pleiades optical satellites (provided‌​‌ by the French Space​​ Agency, CNES) and CosmoSkyMed​​​‌ radar satellites (provided by‌ the Italian Space Agency,‌​‌ ASI). This project is​​ conducted in partnership with​​​‌ the University of Genoa‌ (Prof. G. Moser and‌​‌ Prof. S. Serpico) via​​ the co-supervision of a​​​‌ PhD student, financed by‌ the Italian government. The‌​‌ PhD student, Martina Pastorino​​, has worked with​​​‌ Josiane Zerubia and Gabriele‌ Moser in 2020 during‌​‌ her double Master degree​​ at both University Genoa​​​‌ and IMT Atlantique. She‌ was a PhD Student‌​‌ in co-supervision between University​​ of Genoa DITEN (Prof.​​​‌ Moser) and Inria‌ (Prof. Zerubia) from‌​‌ November 2020 until December​​ 2023, then a postdoc​​​‌ in 2024, and is‌ now an assistant professor‌​‌ at University of Genoa​​ DITEN and external collaborator​​​‌ of AYANA.

3.3 Marked‌ point process models for‌​‌ object detection and tracking​​ in temporal series of​​​‌ high resolution images

The‌ model proposed by Paula‌​‌ Craciun's PhD thesis​​ in 2015 in AYIN​​​‌ team, assumed the speed‌ of tracked objects of‌​‌ interest in a series​​​‌ of satellite images to​ be quasi-constant between two​‌ frames. However, this hypothesis​​ is very limiting, particularly​​​‌ when objects of interest​ are subject to strong​‌ and sudden acceleration or​​ deceleration. The model we​​​‌ proposed within AYIN team​ is then no longer​‌ viable. Two solutions have​​ been considered within AYANA​​​‌ team : either a​ generalist model of marked​‌ point processes (MPP), assuming​​ an unknown and variable​​​‌ velocity, or a multimodel​ of MPPs, simpler with​‌ regard to the velocity​​ that can have a​​​‌ very limited amount of​ values (i.e., quasi-constant velocity​‌ for each MPP). The​​ whole model has been​​​‌ redesigned, and is to​ be tested with data​‌ from a constellation of​​ small satellites (CO3D launched​​​‌ by Vega-C in July​ 2025), where the objects​‌ of interest can be​​ for instance "speed-boats" or​​​‌ "go-fast cars". Some comparisons​ with deep learning based​‌ methods belonging to Airbus​​ Defense and Space (Airbus​​​‌ DS) are planned at​ Airbus DS. Then this​‌ new model should be​​ brought to diverse platforms​​​‌ (ground based or on-board).​ The modeling and ground-based​‌ application part related to​​ object detection has been​​​‌ studied within the PhD​ thesis of Jules Mabon​‌. Furthermore, the object-tracking​​ methods have been proposed​​​‌ by AYANA as part​ of a postdoctoral project​‌ (Camilo Aguilar-Herrera).​​ Finally, the on-board version​​​‌ will be developed by​ Airbus DS, and the​‌ company Erems for the​​ onboard hardware. This project​​​‌ is financed by Bpifrance​ within the LiChIE contract.​‌ This research project has​​ started in 2020 for​​​‌ a duration of 6​ years.

4 Application domains​‌

Our research is applied​​ within all Earth observation​​​‌ domains such as: urban​ planning, precision farming, natural​‌ disaster management, geological features​​ detection, geospatial mapping, and​​​‌ security management.

5 Highlights​ of the year

5.1​‌ Awards

For more information,​​ see the AYANA news​​​‌ webpage.

6​​​‌ Latest software developments, platforms,​ open data

6.1 Latest​‌ software developments

6.1.1 MPP​​ & CNN for object​​​‌ detection in remotely sensed​ images

  • Name:
    Marked Point​‌ Processes and Convolutional Neural​​ Networks for object detection​​​‌ in remotely sensed images​
  • Keywords:
    Detection, Satellite imagery​‌
  • Functional Description:
    Implementation of​​ the work presented in:​​​‌ "CNN-based energy learning for​ MPP object detection in​‌ satellite images" Jules Mabon,​​ Mathias Ortner, Josiane Zerubia​​​‌ In Proc. 2022 IEEE​ International Workshop on Machine​‌ Learning for Signal Processing​​ (MLSP) and "Point process​​ and CNN for small​​​‌ objects detection in satellite‌ images" Jules Mabon, Mathias‌​‌ Ortner, Josiane Zerubia In​​ Proc. 2022 SPIE Image​​​‌ and Signal Processing for‌ Remote Sensing XXVIII
  • URL:‌​‌
  • Contact:
    Josiane Zerubia​​
  • Partner:
    Airbus Defense and​​​‌ Space

6.1.2 FCN and‌ Fully Connected NN for‌​‌ Remote Sensing Image Classification​​

  • Name:
    Fully Convolutional Network​​​‌ and Fully Connected Neural‌ Network for Remote Sensing‌​‌ Image Classification
  • Keywords:
    Satellite​​ imagery, Classification, Image segmentation​​​‌
  • Functional Description:

    Code related‌ to the paper:

    M.‌​‌ Pastorino, G. Moser, S.​​ B. Serpico, and J.​​​‌ Zerubia, "Fully convolutional and‌ feedforward networks for the‌​‌ semantic segmentation of remotely​​ sensed images," 2022 IEEE​​​‌ International Conference on Image‌ Processing, 2022,

  • URL:
  • Contact:
    Josiane Zerubia
  • Partner:​​
    University of Genoa, DITEN,​​​‌ Italy

6.1.3 Stabilizer for‌ Satellite Videos

  • Keywords:
    Satellite‌​‌ imagery, Video sequences
  • Functional​​ Description:
    A python-implemented stabilizer​​​‌ for satellite videos. This‌ code was used to‌​‌ produce the object tracking​​ results shown in: C.​​​‌ Aguilar, M. Ortner and‌ J. Zerubia, "Adaptive Birth‌​‌ for the GLMB Filter​​ for object tracking in​​​‌ satellite videos," 2022 IEEE‌ 32st International Workshop on‌​‌ Machine Learning for Signal​​ Processing (MLSP), 2022, pp.​​​‌ 1-6
  • URL:
  • Contact:‌
    Josiane Zerubia
  • Partner:
    Airbus‌​‌ Defense and Space

6.1.4​​ GLMB filter with History-based​​​‌ Birth

  • Name:
    Python GLMB‌ filter with History-based Birth‌​‌
  • Keywords:
    Multi-Object Tracking, Object​​ detection
  • Functional Description:
    Implementation​​​‌ of the work presented‌ in: C. Aguilar, M.‌​‌ Ortner and J. Zerubia,​​ "Adaptive Birth for the​​​‌ GLMB Filter for object‌ tracking in satellite videos,"‌​‌ 2022 IEEE 32st International​​ Workshop on Machine Learning​​​‌ for Signal Processing (MLSP),‌ 2022, pp. 1-6
  • URL:‌​‌
  • Contact:
    Josiane Zerubia​​
  • Partner:
    Airbus Defense and​​​‌ Space

6.1.5 Automatic fault‌ mapping using CNN

  • Keyword:‌​‌
    Detection
  • Functional Description:
    Implementation​​ of the work published​​​‌ in: Bilel Kanoun, Mohamed‌ Abderrazak Cherif, Isabelle Manighetti,‌​‌ Yuliya Tarabalka, Josiane Zerubia.​​ An enhanced deep learning​​​‌ approach for tectonic fault‌ and fracture extraction in‌​‌ very high resolution optical​​ images. ICASSP 2022 -​​​‌ IEEE International Conference on‌ Acoustics, Speech, & Signal‌​‌ Processing, IEEE, May 2022,​​ Singapore/Hybrid, Singapore.
  • URL:
  • Contact:
    Josiane Zerubia
  • Partner:‌
    Géoazur

6.1.6 RFS-filters for‌​‌ Satellite Videos

  • Keywords:
    Detection,​​ Target tracking
  • Functional Description:​​​‌
    Implementation of the works‌ published in Camilo Aguilar,‌​‌ Mathias Ortner, Josiane Zerubia.​​ Enhanced GM-PHD filter for​​​‌ real time satellite multi-target‌ tracking. ICASSP 2023 –‌​‌ IEEE International Conference on​​ Acoustics, Speech, and Signal​​​‌ Processing, Jun 2023, Rhodes,‌ Greece.
  • URL:
  • Contact:‌​‌
    Josiane Zerubia
  • Partner:
    Airbus​​ Defense and Space

6.1.7​​​‌ AYANet

  • Name:
    AYANet: A‌ Gabor Wavelet-based and CNN-based‌​‌ Double Encoder for Building​​ Change Detection in Remote​​​‌ Sensing
  • Keywords:
    Gabor wavelet,‌ Convolutional Neural Network, Building‌​‌ Change Detection, Remote Sensing​​
  • Functional Description:
    The official​​​‌ implementation of AYANet: A‌ Gabor Wavelet-based and CNN-based‌​‌ Double Encoder for Building​​ Change Detection in Remote​​​‌ Sensing (ICPR 2024) Link‌ to the paper :‌​‌ https://hal.science/hal-04675243
  • URL:
  • Contact:​​
    Josiane Zerubia

6.1.8 GabFormer​​​‌

  • Name:
    Gabor Feature Network‌ for Transformer-based Building Change‌​‌ Detection Model in Remote​​ Sensing
  • Keywords:
    Transformer, Gabor​​​‌ wavelet, Building Change Detection,‌ Remote Sensing, Image analysis‌​‌
  • Functional Description:
    The official​​​‌ implementation of Gabor Feature​ Network for Transformer-based Building​‌ Change Detection Model in​​ Remote Sensing (ICIP 2024)​​​‌ Link to the paper:​ https://hal.science/hal-04619245
  • URL:
  • Contact:​‌
    Josiane Zerubia

6.1.9 PP-EBM​​

  • Name:
    Combining Convolutional Neural​​​‌ Networks and Point Process​ for object detection
  • Keywords:​‌
    Convolutional Neural Network, Point​​ Process, Energy based model,​​​‌ Remote Sensing
  • Functional Description:​

    This code was used​‌ to produce the results​​ shown in:

    Mabon, J.,​​​‌ Ortner, M., Zerubia, J.​ Learning Point Processes and​‌ Convolutional Neural Networks for​​ Object Detection in Satellite​​​‌ Images. Remote Sens. 2024,​ 16, 1019. https://doi.org/10.3390/rs16061019

  • URL:​‌
  • Contact:
    Josiane Zerubia​​
  • Partner:
    Airbus Defense and​​​‌ Space

6.1.10 HGP-K2

  • Name:​
    HypergraphPercol-K2
  • Keywords:
    Clustering, Point​‌ cloud, Hypergraph, Percolation
  • Functional​​ Description:
    The software consists​​​‌ essentially in one clustering​ function called HypergraphPercol. See​‌ readme in the GitHub.​​ It generalizes and gives​​​‌ better results than HDBSCAN​ for point cloud clustering.​‌
  • URL:
  • Contact:
    Josiane​​ Zerubia

6.1.11 CFC-CRF

  • Name:​​​‌
    Cluster level Fully Connected​ CRF
  • Keywords:
    Hyperspectral imagery,​‌ Multiresolution fusion, Semantic Segmentation,​​ FCN, CRF
  • Functional Description:​​​‌
    The official implementation of​ the CRF in CFC-MCRF:​‌ Multiresolution fusion and segmentation​​ of hyperspectral and panchromatic​​​‌ remote sensing images with​ deep learning and CRFs​‌ presented at EUSIPCO'25.
  • URL:​​
  • Contact:
    Martina Pastorino​​​‌

6.1.12 BAS-UAV

  • Name:
    Burnt​ area segmentation from satellite​‌ and UAV images
  • Keywords:​​
    Probabilistic fusion, Probabilistic graphical​​​‌ models, Deep learning, Multiresolution​ imagery, Semantic Segmentation, Forest​‌ fires
  • Functional Description:
    The​​ official implementation of Probabilistic​​​‌ Fusion Framework Based on​ Fully Convolutional Networks and​‌ Graphical Models for Burnt​​ Area Detection from Multiresolution​​​‌ Satellite and UAV Imagery​ accepted for publication in​‌ IEEE TGRS
  • URL:
  • Contact:
    Josiane Zerubia

7​​​‌ New results

7.1 Probabilistic​ graphical models and convolutional​‌ networks for the semantic​​ segmentation

Participants: Martina Pastorino​​​‌, Josiane Zerubia.​

External collaborators: Gabriele Moser​‌ [University of Genoa, DITEN​​ dept., Professor], Sebastiano​​​‌ Serpico [University of Genoa,​ DITEN dept., Professor].​‌

Keywords: image processing, stochastic​​ models, deep learning, fully​​​‌ convolutional networks.

Semantic segmentation,​ also known as spatially​‌ dense image classification, plays​​ a crucial role in​​​‌ image analysis, bridging the​ fields of image processing​‌ and machine learning. It​​ has wide applications, ranging​​​‌ from land cover mapping​ in Earth observation to​‌ medical diagnostics using biomedical​​ images, fault detection in​​​‌ industrial imagery, etc. This​ work focuses on the​‌ mathematical connections between two​​ pivotal families of methodological​​​‌ approaches: probabilistic graphical models​ (PGM) and deep learning​‌ (see Fig. 1),​​ and explores the potential​​​‌ of their integration for​ semantic segmentation tasks. After​‌ providing a comprehensive overview​​ of state-of-the-art techniques from​​​‌ both families, the work​ highlights recent developments that​‌ combine these approaches, either​​ through theoretical equivalence or​​​‌ direct integration. Examples of​ results are provided for​‌ renowned benchmark datasets in​​ computer vision and remote​​​‌ sensing and have been​ accepted for publication in​‌ the IEEE Signal Processing​​ Magazine 4.

Figure 1

Structural​​​‌ analogy between an encoder-decoder​ based neural network (left)​‌ and a quadtree topological​​ structure (right).

Figure 1​​​‌: Structural analogy between​ an encoder-decoder based neural​‌ network (left) and a​​ quadtree topological structure (right).​​

7.2 A Probabilistic Fusion​​​‌ Framework for Burnt zones‌ mapping from multimodal satellite‌​‌ and UAV imagery

Participants:​​ Martina Pastorino, Josiane​​​‌ Zerubia.

External collaborators:‌ Gabriele Moser [University of‌​‌ Genoa, DITEN dept., Professor]​​, Sebastiano Serpico [University​​​‌ of Genoa, DITEN dept.,‌ Professor], Fabien Guerra‌​‌ [Inrae, ERCOVER dept., University​​ of Aix-Marseille].

Keywords:​​​‌ image processing, stochastic models,‌ deep learning, satellite images,‌​‌ UAV imagery.

Semantic segmentation​​ has also been addressed​​​‌ in the framework of‌ natural disaster management applications,‌​‌ specifically to detect zones​​ affected by forest fires.​​​‌ In this context, on‌ one hand, satellite images‌​‌ provide a synoptic view,​​ although with limited spatial​​​‌ detail and possibly being‌ affected by haze and‌​‌ smoke. On the other​​ hand, images collected using​​​‌ unmanned aerial vehicles (UAVs,‌ drones) achieve spatial resolutions‌​‌ of a few centimeters​​ and are mostly unaffected​​​‌ by smoke and haze,‌ but intrinsically focus on‌​‌ a smaller geographical coverage.​​ The proposed approach addresses​​​‌ the fusion of these‌ two data modalities in‌​‌ the application to fire​​ scar mapping. The resulting​​​‌ multiresolution fusion task is‌ especially challenging (see Fig.‌​‌ 2) because the​​ ratio between the involved​​​‌ spatial resolutions is extremely‌ large (e.g.,‌​‌ 10 m from Sentinel-2​​ vs 5 cm from​​​‌ an UAV) – a‌ situation that is normally‌​‌ not addressed by multiresolution​​ schemes from the state​​​‌ of the art. Two‌ novel Bayesian approaches, combining‌​‌ deep fully convolutional networks,​​ ensemble learning, decision fusion,​​​‌ and hierarchical PGMs have‌ been proposed. The experimental‌​‌ validation, conducted in collaboration​​ with forest science experts​​​‌ from Inrae (Institut national‌ de recherche pour l’agriculture,‌​‌ l’alimentation et l’environnement) and​​ with regard to two​​​‌ case studies associated with‌ wildfires in Provence, have‌​‌ suggested the capability of​​ the developed approaches to​​​‌ benefit from both remote‌ sensing image modalities to‌​‌ achieve high detection performance.​​ These proposed methods have​​​‌ been accepted for publication‌ in TGRS 21.‌​‌

Figure 2.a
(a)
 

Figure 2.b
(b)
 

Figure 2.c
(c)
 

Figure 2.d
(d)​​
 

Figure 2.e
(e)
 

Input images, ground​​​‌ truth, and classification results:‌ (a) drone image at‌​‌ 2 cm of spatial​​ resolution, (b) NDVI Sentinel-2​​​‌ image at 10 m‌ of spatial resolution, (c)‌​‌ the ground truth with​​ the same resolution of​​​‌ the drone image, (d)‌ testing ground truth, and‌​‌ (e) the classification result​​ of the proposed methods.​​​‌ Class legend: burnt (red)‌ and non-burnt (white).

Figure‌​‌ 2: Input images,​​ ground truth, and classification​​​‌ results: (a) drone image‌ at 2 cm of‌​‌ spatial resolution, (b) NDVI​​ Sentinel-2 image at 10​​​‌ m of spatial resolution,‌ (c) the ground truth‌​‌ with the same resolution​​ of the drone image,​​​‌ (d) testing ground truth,‌ and (e) the classification‌​‌ result of the proposed​​ methods. Class legend: burnt​​​‌ (red) and non-burnt (white).‌

7.3 Multiresolution Fusion and‌​‌ Segmentation of Hyperspectral and​​ Panchromatic Remote Sensing Images​​​‌ with deep learning and‌ probabilistic graphical models

Participants:‌​‌ Martina Pastorino, Josiane​​ Zerubia.

External collaborators:​​​‌ Gabriele Moser [University of‌ Genoa, DITEN dept., Professor]‌​‌, Sebastiano Serpico [University​​ of Genoa, DITEN dept.,​​​‌ Professor].

Keywords: image‌ processing, stochastic models, deep‌​‌ learning, satellite images, hyperspectral​​​‌ imagery.

This work proposes​ a supervised method for​‌ the joint classification and​​ fusion of multiresolution panchromatic​​​‌ and hyperspectral data based​ on the combination of​‌ probabilistic graphical models (PGMs)​​ and deep learning methods.​​​‌

The idea is to​ exploit the spatial and​‌ spectral information contained in​​ panchromatic and hyperspectral images​​​‌ at different resolutions with​ the aim to generate​‌ a classification map at​​ the spatial resolution of​​​‌ the panchromatic channel, while​ exploiting the richness of​‌ the spectral information provided​​ by the hyperspectral channels.​​​‌

The proposed technique is​ based on deep learning,​‌ with FCN-type (Fully Convolutional​​ Networks) or vision-transformer (ViTs)​​​‌ architectures, and PGMs, through​ the definition of a​‌ hierarchical conditional random field​​ (CRF) approximating the behavior​​​‌ of the ideal fully​ connected CRF in a​‌ computationally tractable manner. The​​ neural architecture (either based​​​‌ on FCNs or ViTs)​ aims to integrate hyperspectral​‌ and panchromatic data at​​ the corresponding spatial resolution​​​‌ and generate posterior probability​ estimates, while the CRF​‌ incorporates information associated with​​ not only local but​​​‌ also long-distance spatio-spectral relationships.​

The algorithm has been​‌ experimentally validated with PRISMA​​ data in the framework​​​‌ of a project with​ the Italian Space Agency​‌ with promising results (see​​ Fig. 3). The​​​‌ proposed method has been​ presented at EUSIPCO'25 9​‌ and have been submitted​​ (in revision) to TGRS​​​‌ 22.

Figure 3.a
Orig. PAN​ image
 

Figure 3.b
Ground truth
 

Figure 3.c
Proposed​‌ method

Figure 3.d
Legend
 

Test ground​​ truths and classification maps​​​‌ for the test tiles​ in the PRISMA dataset​‌ (Pavia, Italy). Product processed​​ under a license of​​​‌ the Italian Space Agency​ (ASI); Original PRISMA Product​‌ - ©ASI - (2022).​​

Figure 3: Test​​​‌ ground truths and classification​ maps for the test​‌ tiles in the PRISMA​​ dataset (Pavia, Italy). Product​​​‌ processed under a license​ of the Italian Space​‌ Agency (ASI); Original PRISMA​​ Product - ©ASI -​​​‌ (2022).

7.4 Joint Deep-learning-based​ Gap-filling and Clustering of​‌ Satellite Image Time Series​​

Participants: Priscilla Indira Osa​​​‌, Josiane Zerubia.​

External collaborators: Gabriele Moser​‌ [University of Genoa, DITEN​​ dept., Professor], Sebastiano​​​‌ Serpico [University of Genoa,​ DITEN dept., Professor].​‌

Keywords: satellite image time​​ series, gap filling, clustering,​​​‌ unsupervised classification, deep learning,​ joint optimization.

Unsupervised pixel-wise​‌ classification in optical satellite​​ image time series (SITS​​​‌ clustering) typically deals with​ the problem of missing​‌ values due to the​​ cloud cover or shadows​​​‌ during the data acquisition.​ This problem is conventionally​‌ addressed by applying a​​ gap-filling method before applying​​​‌ the clustering algorithm to​ the data. This inevitably​‌ makes the final results​​ influenced by the choice​​​‌ of the two above​ mentioned methods. In order​‌ to minimize the effect​​ coming from the combination​​​‌ of arbitrary models addressing​ the two elements separately,​‌ a model is developed​​ to solve gap-filling and​​​‌ clustering problems jointly, taking​ inspiration from 19,​‌ 24. Figure 4​​ shows the overall architecture​​​‌ of the proposed method.​ The gap-filling of the​‌ satellite image time series​​ is done by the​​​‌ Generator, while the representation​ learning and cluster assignment​‌ are performed by the​​ Autoencoder. During the training,​​ the adversarial strategy is​​​‌ implemented between the Discriminator‌ and the remaining parts‌​‌ of the model.

Figure 4

The​​ overall architecture of the​​​‌ proposed model.

Figure 4‌: The overall architecture‌​‌ of the proposed model.​​

The experimental validation was​​​‌ done by classifying a‌ SITS of vegetation index‌​‌ called Fraction of Photosynthetically​​ Active Radiation (FPAR) with​​​‌ 1 km of spatial‌ resolution in 2021 in‌​‌ the region of Italy,​​ into winter and summer​​​‌ crops. The results were‌ compared with several gap-filling‌​‌ algorithms (mean-value imputation, zero​​ imputation, linear interpolation, and​​​‌ cubic spline interpolation), and‌ different deep clustering techniques‌​‌ (Autoencoder + k-means, Autoencoder​​ + Gaussian Mixture Model​​​‌ (GMM), DEC 24,‌ DTJC 17, CRLI‌​‌ 19). A sample​​ of qualitative comparison, shown​​​‌ in Fig. 5,‌ illustrates the efficiency of‌​‌ the proposed model.

Figure 5

The​​ qualitative results of the​​​‌ comparison between the proposed‌ and existing methods.

Figure‌​‌ 5: The qualitative​​ results of the comparison​​​‌ between the proposed and‌ existing methods.

The study‌​‌ was conducted within the​​ RETURN Extended Partnership and​​​‌ received funding from the‌ European Union Next-GenerationEU. The‌​‌ work was presented at​​ IEEE International Geoscience and​​​‌ Remote Sensing Symposium8‌ (IGARSS) 2025 in Brisbane‌​‌ (Australia) and IEEE European​​ Signal Processing Conference (EUSIPCO)​​​‌ 2025 in Palermo (Italy)‌ 7.

7.5 Generalization‌​‌ of Single-Linkage: Hypergraphs and​​ Percolation Analysis

Participants: Louis​​​‌ Hauseux, Konstantin Avrachenkov‌, Josiane Zerubia.‌​‌

Keywords: hierarchical clustering, density-based​​ clustering, geometric graphs, high-order​​​‌ interactions, simplicial complexes, percolation.‌

Single-Linkage 14, 16‌​‌ is a classical clustering​​ algorithm, widely used for​​​‌ its simplicity and theoretical‌ properties 11, 23‌​‌. However, it suffers​​ from the "chaining effect"​​​‌ (which consists of the‌ tendency for clusters to‌​‌ grow into long shapes,​​ `chains'). Its modern robust​​​‌ variant is the core‌ of HDBSCAN 12,‌​‌ 20, the current​​ state-of-the-art in density-based clustering.​​​‌

We show how to‌ naturally generalize this approach‌​‌ by introducing higher-order interactions​​. Instead of simple​​​‌ graphs, we utilize hypergraphs‌ (specifically Čech complexes) and‌​‌ define a stricter notion​​ of connectivity called K​​​‌-polyhedra. We proved that‌ these K-polyhedra correspond‌​‌ to the high-density clusters​​ of the K-Nearest​​​‌ Neighbors density estimator. Practically,‌ our algorithm identifies a‌​‌ "Minimum K-Tree", generalizing​​ the use of the​​​‌ Minimum Spanning Tree in‌ the Single-Linkage algorithm.

In‌​‌ 18, we focused​​ on theoretically quantifying the​​​‌ performance of this family‌ of algorithms. We identified‌​‌ percolation13 as the​​ key phenomenon governing clustering​​​‌ quality. We introduced a‌ novel performance index: the‌​‌ percolation rate. As​​ illustrated in Fig. 6​​​‌, the percolation transition‌ separates a "detection phase"‌​‌ from a "recovery phase".​​ A faster percolation rate​​​‌ implies a sharper transition‌ and a better ability‌​‌ to distinguish neighboring high-density​​ clusters.

Figure 6

Percolation probability p​​​‌(r)‌ showing the phase transition.‌​‌ The percolation rate measures​​ the gap between the​​​‌ detection of structures and‌ the complete recovery of‌​‌ data. A steeper slope​​ indicates better performance. Here​​​‌ the curve is the‌ percolation probability of the‌​‌ geometric graphs (K​​​‌=1) in​ 2.

Figure​‌ 6: Percolation probability​​ p(r​​​‌) showing the phase​ transition. The percolation rate​‌ measures the gap between​​ the detection of structures​​​‌ and the complete recovery​ of data. A steeper​‌ slope indicates better performance.​​ Here the curve is​​​‌ the percolation probability of​ the geometric graphs (​‌K=1)​​ in 2.​​​‌

We demonstrated that our​ K-polyhedra approach (​‌K2)​​ achieves a significantly higher​​​‌ percolation rate compared to​ the state-of-the-art K-Robust​‌ Single-Linkage used in HDBSCAN​​ (see Tab. 1).​​​‌

Table 1: Percolation rate​ in 2.​‌ Our proposed K-polyhedra​​ (right handside) shows a​​​‌ faster transition than the​ standard Robust Single-Linkage (left​‌ handside), validating its superior​​ separation capabilities.
Clustering K​​​‌-Robust Single-Linkage K-polyhedra​ (Ours)
K = 1​‌ 1 . 12 /​​ 1 . 75 =​​​‌ 0.64 1.04​/1.67​‌ 0.62
K =​​ 2 1.12​​​‌/1.85​ 0.61 2 .​‌ 23 / 3 .​​ 05 0.73
K​​​‌ = 3 1.​27/2.​‌11 0.60 3​​ . 40 / 4​​​‌ . 48 0.76​

These results were presented​‌ at the Complex Networks​​ 2024 conference 18 and​​​‌ the ACM Sigmetrics Student​ Research Competition6 (2​‌nd prize). A comprehensive​​ journal article about these​​​‌ results has been accepted​ in Applied Network Science​‌3.

7.6 Generalized​​ Frangi Filter: Multimodal Fusion​​​‌ for Crack Extraction

Participants:​ Louis Hauseux, Josiane​‌ Zerubia.

External collaborators:​​ Pierre Charbonnier [Cerema Strasbourg,​​​‌ Research scientist], Philippe​ Foucher [Cerema Strasbourg, Research​‌ scientist], Raphaël Antoine​​ [Cerema Normandie-Centre, Research scientist]​​​‌.

Keywords: generalized Frangi​ filter, geometric graphs, crack​‌ extraction, multimodal fusion, LiDAR.​​

Detecting linear anomalies, such​​​‌ as cracks on civil​ engineering structures or geological​‌ faults, is a critical​​ task. The classical Frangi​​​‌ filter 15 enhances tubular​ structures using the Hessian​‌ matrix but operates pixel-wise.​​ It is insufficient to​​​‌ exhibit the whole linear​ anomaly network.

We developed​‌ a Generalized Frangi Filter​​ that shifts the analysis​​​‌ from pixels to edges​ (pairs of pixels). Instead​‌ of classifying isolated points,​​ we evaluate the likelihood​​​‌ that two pixels belong​ to the same tubular​‌ structure. This allows us​​ to incorporate higher-order geometric​​​‌ attributes such as the​ alignment angle.

Since 5​‌, a major contribution​​ at the end of​​​‌ 2025 has been made:​ the extension of this​‌ framework to multimodal data​​ fusion. By combining optical​​​‌ information (Intensity)​ with topographic data (​‌LiDAR Range/Depth), we​​ significantly improve robustness. As​​​‌ illustrated in Fig. 7​, fusing these modalities​‌ allows us to recover​​ crack skeletons even when​​​‌ one modality is heavily​ corrupted (e.g.,​‌ by speckle or Gaussian​​ noise), whereas single-modality approaches​​​‌ fail.

Figure 7

Robustness through Multimodal​ Fusion on the FIND​‌ dataset. From left to​​ right, top to bottom:​​​‌ Noisy Intensity input, noisy​ Range input, then five​‌ steps of our Generalized​​ Frangi framework, and last​​ one: the response successfully​​​‌ recovering the crack network.‌

Figure 7: Robustness‌​‌ through Multimodal Fusion on​​ the FIND dataset. From​​​‌ left to right, top‌ to bottom: Noisy Intensity‌​‌ input, noisy Range input,​​ then five steps of​​​‌ our Generalized Frangi framework,‌ and last one: the‌​‌ response successfully recovering the​​ crack network.

From these​​​‌ pairwise responses, we construct‌ a weighted graph and‌​‌ extract the crack network​​ using our generalized Single-Linkage​​​‌ algorithm (see Section 7.5‌). We validated this‌​‌ approach on the "Vaches​​ Noires" landslide 5 and​​​‌ the FIND dataset 25‌. Quantitative comparisons against‌​‌ state-of-the-art deep learning methods​​ (e.g., CrackSegDiff​​​‌) demonstrate that our‌ unsupervised topological approach provides‌​‌ superior robustness with respect​​ to noise and domain​​​‌ shifts, without requiring training‌ data.

The first part‌​‌ of this work was​​ presented at the GRETSI​​​‌ 2025 conference 5.‌ The Multi-Modal robust version‌​‌ (with comparison to the​​ state-of-the-art Deep Learning method)​​​‌ will be submitted to‌ EUSIPCO 2026.

7.7 3D‌​‌ LiDAR Instance Segmentation with​​ Geometric Priors: The HGP-Clusterer​​​‌

Participants: Louis Hauseux,‌ Josiane Zerubia.

Keywords:‌​‌ point cloud segmentation, anomaly​​ detection, geometric priors, 3D​​​‌ model, 3D LiDAR.

While‌ the density-based framework (see‌​‌ Section 7.5) provides​​ a robust theoretical basis​​​‌ for clustering, real-world 3D‌ LiDAR scenes present unique‌​‌ challenges such as variable​​ density and occlusions. To​​​‌ address these problems, we‌ developed the HGP-clusterer (Hypergraph-Percolation‌​‌ Clusterer), a high-performance library​​ able to build the​​​‌ K-polyhedra hierarchy on‌ large-scale point clouds.

An‌​‌ important improvement of our​​ research work in 2025​​​‌ is the development of‌ a Guided Hierarchical Clustering‌​‌ method. Standard algorithms like​​ HDBSCAN rely on a​​​‌ generic "stability" criterion to‌ cut the dendrogram. However,‌​‌ we demonstrated that we​​ can inject geometric priors​​​‌ directly during the hierarchical‌ tree exploration. Instead of‌​‌ maximizing the lifetime of​​ a cluster, we implemented​​​‌ a customized loss function.‌ This function evaluates whether‌​‌ a cluster should be​​ split or merged based​​​‌ on its consistency with‌ expected geometric properties (‌​‌e.g., bounding box​​ alignment, volume) rather than​​​‌ just density persistence.

We‌ applied this framework to‌​‌ a change detection synthetic​​ benchmark provided by Marie​​​‌ Aspro (working with Naval‌ Group). The goal is‌​‌ to automatically identify "anomalies"​​ (objects present in the​​​‌ LiDAR scan but missing‌ from the reference 3D‌​‌ model).

We utilized the​​ 3D model as a​​​‌ geometric prior to guide‌ the HGP-clusterer. During the‌​‌ tree descent, the algorithm​​ filters out points matching​​​‌ the known environment structure‌ and isolates unexpected dense‌​‌ components. To handle fragmentation​​ caused by occlusions (​​​‌e.g., a single‌ object split into multiple‌​‌ segments), we added a​​ topological post-processing step that​​​‌ fuses adjacent anomaly clusters‌ based on bounding-box intersections.‌​‌

Figure 8

Anomaly detection on a​​ shipyard synthetic benchmark. The​​​‌ algorithm uses the 3D‌ model as a geometric‌​‌ prior to filter out​​ valid objects (red) and​​​‌ successfully isolates foreign objects‌ (other colors than red‌​‌ and gray), despite low​​ point density background (gray).​​​‌ ©Naval Group.

Figure 8‌: Anomaly detection on‌​‌ a shipyard synthetic benchmark.​​​‌ The algorithm uses the​ 3D model as a​‌ geometric prior to filter​​ out valid objects (red)​​​‌ and successfully isolates foreign​ objects (other colors than​‌ red and gray), despite​​ low point density background​​​‌ (gray). ©Naval Group.

Figure​ 8 illustrates the results:​‌ the algorithm successfully detects​​ and segments the target​​​‌ anomalies while ignoring "out-of-field"​ noise. This demonstrates that​‌ injecting weak geometric supervision​​ into the clustering process​​​‌ offers a robust, training-free​ alternative to deep learning​‌ for industrial applications.

We​​ would like to thank​​​‌ Marie Aspro (Inria Startup​ Studio) for providing us​‌ with this benchmark.

8​​ Bilateral contracts and grants​​​‌ with industry

8.1 Bilateral​ contracts with industry

8.1.1​‌ LiChIE contract with Airbus​​ Defense and Space funded​​​‌ by Bpifrance

Participants: Josiane​ Zerubia.

External collaborators:​‌ Mathias Ortner [Airbus Defense​​ and Space, Senior Data​​​‌ Scientist].

Automatic object​ detection and tracking on​‌ sequences of images taken​​ from various constellations of​​​‌ satellites. This contract covered​ one PhD (Jules Mabon​‌ from October 2020 until​​ January 2024), one postdoc​​​‌ (Camilo Aguilar Herrera from​ January 2021 until September​‌ 2022), and one research​​ engineer (Louis Hauseux from​​​‌ February until April 2023).​ Josiane Zerubia worked on​‌ this contract during six​​ years (2020-2025).

9 Partnerships​​​‌ and cooperations

9.1 International​ research visitors

9.1.1 Visits​‌ to international teams

Research​​ stays abroad
Josiane Zerubia​​​‌

9.2​ National initiatives

ANR FAULTS​‌ R GEMS

Participants: Josiane​​ Zerubia.

External collaborators:​​​‌ Isabelle Manighetti [OCA, Géoazur,​ Senior Physicist].

AYANA​‌ team is part of​​ the ANR project FAULTS​​​‌ R GEMS (2017-2025, PI​ Geoazur) dedicated to realistic​‌ generic earthquake modeling and​​ hazard simulation.

9.3 Prospecting​​​‌ industrial partners

Participants: Josiane​ Zerubia.

  • Josiane Zerubia​‌ visited the following potential​​ industrial partners, to set​​​‌ up national contracts with​ Inria (e.g.,​‌ Defi Inria/..., AID proposals):​​
    • Visits to Acri-ST: Toulouse​​​‌ (December 2025), Grasse (May​ 2025).
    • Visits to: Airbus​‌ DS Toulouse, February and​​ December 2025.

10 Dissemination​​​‌

Participants: Louis Hauseux,​ Priscilla Indira Osa,​‌ Martina Pastorino, Josiane​​ Zerubia.

10.1 Promoting​​​‌ scientific activities

10.1.1 Scientific​ events: selection

Member of​‌ the conference program committees​​
Reviewer

10.1.2 Journal

Member of​​​‌ the editorial boards
Reviewer -‌ reviewing activities

10.1.3 Invited talks​​

10.1.4‌​‌ Leadership within the scientific​​ community

  • Josiane Zerubia is​​​‌ a Fellow of IEEE‌ (2002- ), EURASIP (2019-‌​‌ ) and IAPR (2020-).​​
  • Josiane Zerubia is a​​​‌ member of the Teaching‌ Board of the Doctoral‌​‌ School STIET at University​​ of Genoa, Italy (2018-​​​‌ ).
  • Josiane Zerubia is‌ a senior member of‌​‌ IEEE WISP Committee (2024-2025).​​
  • Josiane Zerubia is part​​​‌ of the EURASIP Fellows‌ Selection Committee (2025-2027).
  • Josiane‌​‌ Zerubia did an evaluation​​ for new member selection​​​‌ at the Science Academy,‌ Istanbul (Turkey, Bilim Akademisi),‌​‌ July 2025.

10.1.5 Scientific​​ expertise

  • Josiane Zerubia did​​​‌ consulting for CAC (Cosmeto‌ Azur Consulting), December 2025.‌​‌

10.1.6 Research administration

  • Louis​​ Hauseux is in charge​​​‌ of the C@fé ADSTIC‌ since 2023.
  • Josiane Zerubia‌​‌ is a member of​​ Comité des Equipes Projets​​​‌ (CEP) at Inria-Centre d'Université‌ Côte d'Azur.
  • Josiane Zerubia‌​‌ is in charge of​​ the aerospace research field​​​‌ for the Defense and‌ Security mission at Inria,‌​‌ headed by Frédérique Segond​​ since January 2023. She​​​‌ was invited to

    10.2‌ Teaching - Supervision -‌​‌ Juries - Educational and​​ pedagogical outreach

    10.2.1 Supervision​​​‌

    • Louis Hauseux gave the‌ following courses to Master‌​‌ students:
      • Teaching course and​​ practicals with Konstantin Avrachenkov​​​‌ and Rémy Sun:‌ master course “Statistical Analysis‌​‌ of Networks”': (12h of​​ lectures, 18H eq. TD,​​​‌ and 12h of TD),‌ M2 Data Science and‌​‌ Artificial Intelligence, Université​​ Côte d’Azur (2025).
      • Teaching​​​‌ practicals of the master‌ course “Statistical Inference”, (30H‌​‌ TD), taught by Vincent​​ Vandewalle, M1 Data​​​‌ Science and Artificial Intelligence‌, Université Côte d’Azur‌​‌ (2025).
    • Josiane Zerubia gave​​ 4h of lectures (6h​​​‌ eq. TD), Master RISKS‌, Université Côte d’Azur,‌​‌ France (2025). This course​​ was given to Master​​​‌ students.

    10.2.2 Supervision

    • Priscilla‌ Indira Osa did the‌​‌ following supervision:
    • Josiane Zerubia​​​‌ supervised:
      • Two PhD students‌ (Louis Hauseux, and‌​‌ Priscilla Indira Osa)​​ within the AYANA team.​​​‌

    10.2.3 Juries

    • Josiane Zerubia‌ participated to the following‌​‌ jury:
      • Member of one​​ CSI (Comité de Suivi​​​‌ Individuel) PhD committee as‌ expert and another one‌​‌ as student supervisor.
      • HDR​​​‌ committee of Lamberto Dell'Elce​ at Université Côte d'Azur.​‌

    10.3 Popularization

    • Louis Hauseux​​ gave a talk at​​​‌ 3IA seminar, October​ 2025.
    • Josiane Zerubia participated​‌ as a member of​​ Inria/Terra Numerica/Femmes&Sciences to the​​​‌ “

      10.3.1 Productions (articles,​ videos, podcasts, serious games,​‌ ...)

      11 Scientific​‌ production

      11.1 Major publications​​

      11.2 Publications of​‌ the year

      International journals​​

      International peer-reviewed conferences​​

      11.3​​​‌ Cited publications

      • 11article‌J. A.John A.‌​‌ Hartigan. Consistency of​​ Single Linkage for High-Density​​​‌ Clusters.J. of‌ the Am. Stat. Ass.‌​‌763741981,​​ 388-394DOIback to​​​‌ text
      • 12inproceedingsR.‌ J.Ricardo J. G.‌​‌ B. Campello, D.​​Davoud Moulavi and J.​​​‌Joerg Sander. Density-Based‌ clustering based on hierarchical‌​‌ density estimates.Advances​​ in Knowledge Discovery and​​​‌ Data MiningBerlin, Heidelberg‌Springer2013, 160--172‌​‌DOIback to text​​
      • 13inproceedingsH.Hugo​​​‌ Duminil-Copin. Sixty years‌ of percolation.Proceedings‌​‌ of the International Congress​​ of Mathematicians, Rio de​​​‌ JaneiroWorld Scientific2018‌, 2829--2856DOIback‌​‌ to text
      • 14article​​K.Kazimierz Florek,​​​‌ J.Jan Łukaszewicz,‌ J.Julian Perkal,‌​‌ H.Hugo Steinhaus and​​ S.Stefan Zubrzycki.​​​‌ Sur la liaison et‌ la division des points‌​‌ d'un ensemble fini.​​Colloquium Mathematicum23-4​​​‌1951, 282-285DOI‌back to text
      • 15‌​‌inproceedingsA. F.Alejandro​​ F. Frangi, W.​​​‌ J.Wiro J. Niessen‌, K. L.Koen‌​‌ L. Vincken and M.​​ A.Max A. Viergever​​​‌. Multiscale vessel enhancement‌ filtering.Medical Image‌​‌ Computing and Computer-Assisted Intervention​​ --- MICCAI'98Springer Berlin​​​‌ Heidelberg1998DOIback‌ to text
      • 16article‌​‌J. C.J. C.​​ Gower and G. J.​​​‌G. J. S. Ross‌. Minimum Spanning Trees‌​‌ and Single Linkage Cluster​​ Analysis.Journal of​​​‌ the Royal Statistical Society.‌ Series C (Applied Statistics)‌​‌1811969,​​ 54--64DOIback to​​​‌ text
      • 17articleW.‌Wenqi Guo, Z.‌​‌Zheng Zhang, Y.​​Yu Meng, W.​​​‌Weixiong Zhang, S.‌Shichen Gao and others‌​‌. Deep Temporal Joint​​ Clustering for Satellite Image​​​‌ Time-Series Analysis.JSTARS‌182025, 1272-1287‌​‌DOIback to text​​
      • 18inproceedingsL.Louis​​​‌ Hauseux, K.Konstantin‌ Avrachenkov and J.Josiane‌​‌ Zerubia. Hypergraphs, percolation,​​ and hierarchical clustering.​​​‌The 13th International Conference‌ on Complex Networks and‌​‌ their ApplicationsStudies in​​ Computational IntelligenceIstanbul, Turkey​​​‌December 2024back to‌ textback to text‌​‌
      • 19articleQ.Qianli​​ Ma, C.Chuxin​​​‌ Chen, S.Sen‌ Li and G. W.‌​‌Garrison W. Cottrell.​​ Learning Representations for Incomplete​​​‌ Time Series Clustering.‌AAAI3510May‌​‌ 2021, 8837-8846URL:​​ https://ojs.aaai.org/index.php/AAAI/article/view/17070DOIback to​​​‌ textback to text‌
      • 20inproceedingsL.Leland‌​‌ McInnes and J.John​​​‌ Healy. Accelerated Hierarchical​ Density Based Clustering.​‌IEEE International Conference on​​ Data Mining Workshops (ICDMW)​​​‌2017, 33-42DOI​back to text
      • 21​‌articleM.M. Pastorino​​, G.G. Moser​​​‌, F.F. Guerra​, S. B.S.​‌ B. Serpico and J.​​J. Zerubia. Probabilistic​​​‌ Fusion Framework Based on​ Fully Convolutional Networks and​‌ Graphical Models for Burnt​​ Area Detection from Multiresolution​​​‌ Satellite and UAV Imagery​.IEEE Transactions on​‌ Geoscience and Remote Sensing​​Accepted for publication2024​​​‌back to text
      • 22​articleM.M. Pastorino​‌, G.G. Moser​​, S. B.S.​​​‌ B. Serpico and J.​J. Zerubia. Cross-Modal​‌ Fusion and Classifi- cation​​ of Hyperspectral and Panchromatic​​​‌ Remote Sensing Images with​ Deep Learning and Multiscale​‌ CRFs.IEEE Transactions​​ on Geoscience and Remote​​​‌ SensingIn revision2025​back to text
      • 23​‌bookM.Mathew Penrose​​. Random Geometric Graphs​​​‌.5Oxford University​ Press2003DOIback​‌ to text
      • 24inproceedings​​J.Junyuan Xie,​​​‌ R.Ross Girshick and​ A.Ali Farhadi.​‌ Unsupervised Deep Embedding for​​ Clustering Analysis.ICML​​​‌48Proceedings of Machine​ Learning ResearchNew York,​‌ New York, USAPMLR​​20--22 Jun 2016,​​​‌ 478--487URL: https://proceedings.mlr.press/v48/xieb16.htmlback​ to textback to​‌ text
      • 25miscS.​​Shanglian Zhou, C.​​​‌Carlos Canchila and W.​Wei Song. Fused​‌ Image dataset for convolutional​​ neural Network-based crack Detection​​​‌ (FIND).March 2022​DOIback to text​‌