Guy Wolf

Email: wolfguy [at] mila.quebec

Professeur agrégé / Associate Professor
Département de mathématiques et de statistique / Department of Mathematics and Statistics
Université de Montréal

Membre principal / Core Member
Mila - Institut québécois d’intelligence artificielle / Québec AI Institute

Chercheur associé/ Associate Researcher
Carrefour de l'innovation / Health innovation and evaluation hub
CRCHUM - Centre de recherche du CHUM / Montreal university hospital research center

Professeur agrégé affilié/ Affiliate Associate Professor
Département d’informatique et de génie logiciel / Department of Computer Science and Software Engineering
Concordia University

Canada CIFAR AI Chair
CIFAR Pan-Canadian AI Strategy

Humboldt Research Fellow
Alexander von Humboldt Stiftung / Foundation

Additional affiliations:
CRM - Centre de recherches mathématiques / Center of Mathematical Research (Regular member)
L'institut de valorisation des données / The institute for data valorization (IVADO Professor)
Helmholtz International Labs

Intérêts de recherche

Mes sujets de recherche se situent à l'intersection de l'apprentissage automatique, des sciences des données et des mathématiques appliquées. En particulier, je suis intéressé par les méthodes d'exploration des données qui utilisent l'apprentissage des variétés et l'apprentissage profond géométrique. Je m'intéresse aussi aux applications d'analyse exploratoire des données biomédicales, surtout ceux qui portent sur les données de cellules uniques (p.ex. scRNA-seq et CyTOF).

Major research interests

  1. Exploratory data analysis with manifold learning and deep learning
  2. Applied harmonic analysis, spectral graph theory, and diffusion geometry
  3. Graph signal processing and geometric deep learning
  4. Data-driven characterization of nonlinear structrures, patterns, and dynamics
  5. Biomedical big data applications (e.g., genomics and neuroscience)

Équipe de recherche (RAFALES): diffusion.space

Joining the team:

Enseignement / Teaching

Trimestre en cours / Current trimester:

Trimestres à venir / Next trimesters:

Triemestres passés / Past trimesters:

For courses taught at Yale between 2015-2018 please use this link.

List of Publications

MS-PHATE : Kuchroo et al.  HGNet : Rampášek & Wolf ScatteringGCN : Min et al.  PHATE : Moon et al.
Nat. Biotech. 40(5), 2022  Proc. of IEEE MLSP, 2021 Adv. in NeurIPS 33, 2020  Nat. Biotech. 37(12), 2019
         
Geometric Scattering : Gao et al. 
Proc. of ICML, PMLR 97, 2019 
 
May 2022 issue cover  MLSP 2021 best paper award Dec 2019 issue cover

Preprints:

Journals:

  1. Y. Qi, P. Vianna, A. Cadrin-Chênevert, K. Blanchet, E. Montagnon, E. Belilovsky, G. Wolf, L.-A. Mullie, G. Cloutier, M. Chassé & A. Tang. Simulating federated learning for steatosis detection using ultrasound images. Scientific Reports, 14:13253, 2024.
  2. L. Hodgson, Y. Li, Y. Iturria-Medina, J.A. Stratton, G. Wolf, S. Krishnaswamy, D.A. Bennett, and D. Bzdok. Supervised latent factor modeling isolates cell-type-specific transcriptomic modules that underlie alzheimer’s disease progression. Communications Biology, 7:591, 2024.
  3. E. Brunet-Ratnasingham, S. Morin, H.E. Randolph, M. Labrecque, J. Bélair, R. Lima-Barbosa, A. Pagliuzza, L. Marchitto, M. Hultström, J. Niessl, R. Cloutier, A.M. Sreng Flores, N. Brassard, M. Benlarbi, J. Prévost, S. Ding, S.P. Anand, G. Sannier, E. Bareke, H. Zeberg, M. Lipcsey, R. Frithiof, A. Larsson, S. Zhou, T. Nakanishi, D. Morrison, D. Vezina, C. Bourassa, G. Gendron-Lepage, H. Medjahed, F. Point, J. Richard, C. Larochelle, A. Prat, J.L. Cunningham, N. Arbour, M. Durand, J.B. Richards, K. Moon, N. Chomont, A. Finzi, M. Tétreault, L. Barreiro, G. Wolf, and D.E. Kaufmann. Sustained IFN signaling is associated with delayed development of SARS-CoV-2-specific immunity. Nature Communications, 15:4177, 2024.
  4. A. Tong, F. Wenkel, D. Bhaskar, K. Macdonald, J. Grady, M. Perlmutter, S. Krishnaswamy, and G. Wolf. Learnable Filters for Geometric Scattering Modules. IEEE Transactions on Signal Processing, DOI: 10.1109/TSP.2024.3378001, 2024.
  5. A. Tong, K. Fatras, N. Malkin, G. Huguet, Y. Zhang, J. Rector-Brooks, G. Wolf, and Y. Bengio. Improving and generalizing flow-based generative models with minibatch optimal transport. Transactions on Machine Learning Research (TMLR), 2024.
  6. M. Perlmutter, A. Tong, F. Gao, G. Wolf, and M. Hirn. Understanding Graph Neural Networks with Generalized Geometric Scattering Transforms. SIAM Journal on Mathematics of Data Science, 5(4):873-898, 2023.
  7. P. Vianna, S.I. Calce, P. Boustros, C. Larocque-Rigney L. Patry-Beaudoin, Y.H. Luo, E. Aslan, J. Marinos, T.M. Alamri, K.N. Vu, J. Murphy-Lavallée, J.S. Billiard, E. Montagnon, H. Li, S. Kadoury, B.N. Nguyen, S. Gauthier, B. Therien, I. Rish, E. Belilovsky, G. Wolf, M. Chassé, G. Cloutier, and A. Tang. Comparison of Radiologists and Deep Learning for US Grading of Hepatic Steatosis. Radiology, 309(1):e230659, 2023.
  8. G. Huguet, A. Tong, B. Rieck, J. Huang, M. Kuchroo, M. Hirn, G. Wolf, and S. Krishnaswamy. Time-Inhomogeneous Diffusion Geometry and Topology. SIAM Journal on Mathematics of Data Science, 5(2):346-372, 2023.
  9. M. Kuchroo, M. DiStasio, E. Song, E. Calapkulu, L. Zhang, M. Ige, A.H. Sheth, A. Majdoubi, M. Menon, A. Tong, A. Godavarthi, Y. Xing, S. Gigante, H. Steach, J. Huang, G. Huguet, J. Narain, K. You, G. Mourgkos, R.M. Dhodapkar, M.J. Hirn, B. Rieck, G. Wolf, S. Krishnaswamy, and B.P. Hafler. Single-cell analysis reveals inflammatory interactions driving macular degeneration. Nature Communications, 14:2589, 2023.
  10. E.L. Busch, J. Huang, A. Benz, T. Wallenstein, G. Lajoie, G. Wolf, S. Krishnaswamy, and N.B. Turk-Browne. Multi-view manifold learning of human brain-state trajectories. Nature Computational Science, 3:240-253, 2023.
  11. A.F. Duque, S. Morin, G. Wolf, and K.R. Moon. Geometry Regularized Autoencoders. IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 45(6):7381-7394, 2023.
  12. M. Kuchroo, J. Huang, P. Wong, J.-C. Grenier, D. Shung, A. Tong, C. Lucas, J. Klein, D.B. Burkhardt, S. Gigante, A. Godavarthi, B. Rieck, B. Israelow, M. Simonov, T. Mao, J.E. Oh, J. Silva, T. Takahashi, C.D. Odio, A. Casanovas-Massana, J. Fournier, Yale IMPACT Team, S. Farhadian, C.S. Dela Cruz, A.I. Ko, M.J. Hirn, F.P. Wilson, J.G. Hussin, G. Wolf, A. Iwasaki, and S. Krishnaswamy. Multiscale PHATE identifies multimodal signatures of COVID-19. Nature Biotechnology, 40(5):681-691, 2022.
  13. F. Mostefai, I. Gamache, A. N'Guessan, J. Pelletier, J. Huang, C.L. Murall, A. Pesaranghader, V. Gaonac'h-Lovejoy, D.J. Hamelin, R. Poujol, J.-C. Grenier, M. Smith, E. Caron, M. Craig, G. Wolf, S. Krishnaswamy, B.J. Shapiro, and J.G. Hussin. Population Genomics Approaches for Genetic Characterization of SARS-CoV-2 Lineages. Frontiers in Medicine, 9, 2022.
  14. B. Paré, M. Rozendaal, S. Morin, L. Kaufmann, S.M. Simpson, R. Poujol, F. Mostefai, J.-C. Grenier, H. Xing, M. Sanchez, A. Yechouron, R. Racette, J.G. Hussin, G. Wolf, I. Pavlov, and M.A. Smith. Patient health records and whole viral genomes from an early SARS-CoV-2 outbreak in a Quebec hospital reveal features associated with favorable outcomes. PLoS ONE, 16(12):e0260714, 2021.
  15. A. Tong, G. Wolf, and S. Krishnaswamy. Fixing Bias in Reconstruction-based Anomaly Detection with Lipschitz Discriminators. Journal of Signal Processing Systems, DOI: 10.1007/s11265-021-01715-6, 2021.
  16. M.W. Moyle, K.M. Barnes, M. Kuchroo, A. Gonopolskiy, L.H. Duncan, T. Sengupta, L. Shao, M. Guo, A. Santella, R. Christensen, A. Kumar, Y. Wu, K.R. Moon, G. Wolf, S. Krishnaswamy, Z. Bao, H. Shroff, W. Mohler, and D.A. Colón-Ramos. Structural and developmental principles of neuropil assembly in C. elegans. Nature, 591:99-104, 2021.
  17. D.B. Burkhardt, J.S. Stanley III, A. Tong, A.L. Perdigoto, S.A. Gigante, K.C. Herold, G. Wolf, A.J. Giraldez, D. van Dijk, and S. Krishnaswamy. Quantifying the effect of experimental perturbations at single-cell resolution. Nature Biotechnology, 39(5):619-629, 2021.
  18. W.S. Chen, N. Zivanovic, D. van Dijk, G. Wolf, B. Bodenmiller, and S. Krishnaswamy. Uncovering axes of variation among single-cell cancer specimens. Nature Methods, 17:302-310, 2020.
  19. K.R. Moon, D. van Dijk, Z. Wang, S. Gigante, D.B. Burkhardt, W.S. Chen, K. Yim, A. van den Elzen, M.J. Hirn, R.R. Coifman, N.B. Ivanova, G. Wolf, and S. Krishnaswamy. Visualizing Structure and Transitions in High-Dimensional Biological Data. Nature Biotechnology, 37(12):1482-1492, 2019.
  20. M. Amodio, D. van Dijk, K. Srinivasan, W.S. Chen, H. Mohsen, K.R. Moon, A. Campbell, Y. Zhao, X. Wang, M. Venkataswamy, A. Desai, V. Ravi, P. Kumar, R. Montgomery, G. Wolf, and S. Krishnaswamy. Exploring Single-Cell Data with Deep Multitasking Neural Networks. Nature Methods, 16:1139–1145, 2019.
  21. D. van Dijk, R. Sharma, J. Nainys, K. Yim, P. Kathail, A.J. Carr, C. Burdziak, K.R. Moon, C.L. Chaffer, D. Pattabiraman, B. Bierie, L. Mazutis, G. Wolf, S. Krishnaswamy, and D. Pe’er. Recovering Gene Interactions from Single-Cell Data Using Data Diffusion. Cell, 174(3):716-729.e27, 2018.
  22. M. Salhov, A. Bermanis, G.Wolf, and A. Averbuch. Diffusion Representations. Applied and Computational Harmonic Analysis, 45(2):324-340, 2018.
  23. A. Bermanis, G. Wolf, and A. Averbuch. Diffusion-based kernel methods on Euclidean metric measure spaces. Applied and Computational Harmonic Analysis, 41(1):190-213, 2016.
  24. M. Salhov, A. Bermanis, G.Wolf, and A. Averbuch. Learning from patches by efficient spectral decomposition of a structured kernel. Machine Learning, 103(1):81-102, 2016.
  25. A. Bermanis, M. Salhov, G. Wolf, and A. Averbuch. Measure-based diffusion grid construction and high-dimensional data discretization. Applied and Computational Harmonic Analysis, 40(2):207-228, 2016.
  26. G. Wolf, S. Mallat, and S. Shamma. Rigid motion model for audio source separation. IEEE Transactions on Signal Processing, 64(7):1822-1831, 2016.
  27. M. Salhov, A. Bermanis, G. Wolf, and A. Averbuch. Approximately-isometric diffusion maps. Applied and Computational Harmonic Analysis, 38(3):399-419, 2015.
  28. A. Bermanis, G. Wolf, and A. Averbuch. Cover-based bounds on the numerical rank of Gaussian kernels. Applied and Computational Harmonic Analysis, 36(2):302-315, 2014.
  29. G. Wolf and A. Averbuch. Linear-projection diffusion on smooth Euclidean submanifolds. Applied and Computational Harmonic Analysis, 34(1):1-14, 2013.
  30. G. Wolf, A. Rotbart, G. David, and A. Averbuch. Coarse-grained localized diffusion. Applied and Computational Harmonic Analysis, 33(3):388-400, 2012.
  31. Y. Shmueli, G. Wolf, and A. Averbuch. Updating kernel methods in spectral decomposition by affinity perturbations. Linear Algebra and its Applications, 437(6):1356-1365, 2012.
  32. M. Salhov, G. Wolf, and A. Averbuch. Patch-to-tensor embedding. Applied and Computational Harmonic Analysis, 33(2):182-203, 2012.

Conference Proceedings:

  1. S. Ni, A. Aumon, G. Wolf, K.R. Moon, and J.S. Rhodes. Enhancing Supervised Visualization through Autoencoder and Random Forest Proximities for Out-of-Sample Extension. In the 34th IEEE International Workshop on Machine Learning for Signal Processing (MLSP 2024), London, UK, to appear 2024.
  2. S. Horoi, A. Orozco Camacho, E. Belilovsky, and G. Wolf. Harmony in diversity: Merging neural networks with canonical correlation analysis. In the 41st International Conference on Machine Learning (ICML 2024), Vienna, Austria, 2024.
  3. R. Liu, S. Cantürk, O. Lapointe-Gagné, V. Létourneau, G. Wolf, D. Beaini, and L. Rampášek. Graph positional and structural encoder. In the 41st International Conference on Machine Learning (ICML 2024), Vienna, Austria, 2024.
  4. P. Vianna, M. Chaudhary, P. Mehrbod, A. Tang, G. Cloutier, G. Wolf, M. Eickenberg, and E. Belilovsky. Channel-selective normalization for label-shift robust test-time adaptation. In the Third Conference on Lifelong Learning Agents (CoLLAs 2024), Pisa, Italy, 2024.
  5. D. Beaini, S. Huang, J.A. Cunha, G. Moisescu-Pareja, O. Dymov, S. Maddrell-Mander, C. McLean, F. Wenkel, L. Müller, J.H. Mohamud, A. Parviz, M. Craig, M. Koziarski, J. Lu, Z. Zhu, C. Gabellini, K. Klaser, J. Dean, C. Wognum, M. Sypetkowski, G. Rabusseau, R. Rabbany, J. Tang, C. Morris, I. Koutis, M. Ravanelli, G. Wolf, P. Tossou, H. Mary, T. Bois, A. Fitzgibbon, B. Banaszewski, C. Martin, and D. Masters. Towards foundational models for molecular learning on large-scale multi-task datasets. In the Twelfth International Conference on Learning Representations (ICLR 2024), Vienna, Austria, 2024.
  6. A. Tong, N. Malkin, K. Fatras, L. Atanackovic, Y. Zhang, G. Huguet, G. Wolf, and Y. Bengio. Simulation-free schrödinger bridges via score and flow matching. In Proceedings of the 27th International Conference on Artificial Intelligence and Statistics (AISTATS 2024), Valencia, Spain; PMLR, 238:1279-1287, 2024.
  7. D. Liao, C. Liu, B.W. Christensen, A. Tong, G. Huguet, G. Wolf, M. Nickel, I.Adelstein, and S. Krishnaswamy. Assessing neural network representations during training using data diffusion spectra. In Proceedings of the 58th Annual Conference on Information Sciences and Systems (CISS 2024), Princeton, NJ, USA, pp. 1-6, 2024.
  8. D. Bhaskar, D.S. Magruder, M. Morales, E. De Brouwer, A. Venkat, F. Wenkel, J. Noonan, G. Wolf, N. Ivanova, and S. Krishnaswamy. Inferring dynamic regulatory interaction graphs from time series data with perturbations. Proceedings of the Second Learning on Graphs Conference (LoG 2023), Virtual Event; PMLR 231:22.1-22.21, 2024.
  9. G. Huguet, A. Tong, E. De Brouwer, Y. Zhang, G. Wolf, I. Adelstein, and S. Krishnaswamy. A Heat Diffusion Perspective on Geodesic Preserving Dimensionality Reduction. In Advances in Neural Information Processing Systems 36 (NeurIPS 2023), New Orleans, LA, USA, 2023.
  10. G. Huguet, A. Tong, M.R. Zapatero, C.J. Tape, G. Wolf, and S. Krishnaswamy. Geodesic Sinkhorn for fast and accurate optimal transport on manifolds. In Proceedings of the 2023 IEEE International Workshop on Machine Learning for Signal Processing (MLSP), Rome, Italy, pp. 1-6, 2023.
  11. O. Fasina, G. Huguet, A. Tong, Y. Zhang, G. Wolf, M. Nickel, I. Adelstein, and S. Krishnaswamy. Neural FIM for learning Fisher information metrics from point cloud data. In Proceedings of the 40th International Conference on Machine Learning (ICML 2023), Honolulu, HI, USA; PMLR, PMLR 202:9814-9826, 2023.
  12. A.F. Duque, M. Lizotte, G. Wolf, and K.R. Moon. Manifold Alignment with Label Information. In The 14th international conference on Sampling Theory and Applications (SampTA 2023), New Haven, CT, USA, 2023.
  13. D. Eddington, A.F. Duque, G. Wolf, and K.R. Moon. Data Imputation with an Autoencoder and MAGIC. In The 14th international conference on Sampling Theory and Applications (SampTA 2023), New Haven, CT, USA, 2023.
  14. S. Leone, A. Venkat, A. Tong, G. Huguet, G. Wolf, and S. Krishnaswamy. Graph Fourier MMD for Signals on Graphs. In The 14th international conference on Sampling Theory and Applications (SampTA 2023), New Haven, CT, USA, 2023.
  15. M. Elaraby, G. Wolf, and M. Carvalho. OAMIP: Optimizing ANN Architectures using Mixed-Integer Programming. In Proceedings of the 20th International Conference on the Integration of Constraint Programming, Artificial Intelligence, and Operations Research (CPAIOR 2023), Nice, France, volume 13884 of LNCS, pp. 219–237, 2023.
  16. M. Davari, S. Horoi, A. Natik, G. Lajoie, G. Wolf, and E. Belilovsky. Reliability of CKA as a Similarity Measure in Deep Learning. In the Eleventh International Conference on Learning Representations (ICLR 2023), Kigali, Rwanda, 2023.
  17. A.F. Duque, G. Wolf, and K.R. Moon. Diffusion Transport Alignment. In Advances in Intelligent Data Analysis XXI (IDA 2023), Louvain-la-Neuve, Belgium, volume 13876 of LNCS, pp. 116-129, 2023.
  18. R. Liu, S. Cantürk, F. Wenkel, S. McGuire, X. Wang, A. Little, L. O'Bray, M. Perlmutter, B. Rieck, M. Hirn, G. Wolf, L. Rampášek. Taxonomy of Benchmarks in Graph Representation Learning. In Proceedings of the First Learning on Graphs Conference (LoG 2022), Virtual Event; PMLR, 198:6.1-6.25, 2022.
  19. Y. Min, F. Wenkel, M. Perlmutter, and G. Wolf. Can Hybrid Geometric Scattering Networks Help Solve the Maximum Clique Problem? In Advances in Neural Information Processing Systems 35 (NeurIPS 2022), New Orleans, LA, USA, pp. 22713-22724,2022.
  20. G. Huguet, D.S. Magruder, A. Tong, O. Fasina, M. Kuchroo, G. Wolf, and S. Krishnaswamy. Manifold Interpolating Optimal-Transport Flows for Trajectory Inference. In Advances in Neural Information Processing Systems 35 (NeurIPS 2022), New Orleans, LA, USA, pp. 29705-29718,2022.
  21. L. Rampasek, M. Galkin, V.P. Dwivedi, A.T. Luu, G. Wolf, and D. Beaini. Recipe for a General, Powerful, Scalable Graph Transformer. In Advances in Neural Information Processing Systems 35 (NeurIPS 2022), New Orleans, LA, USA, pp. 14501-14515,2022.
  22. V.P. Dwivedi, L. Rampasek, M. Galkin, A. Parviz, G. Wolf, A.T. Luu, and D. Beaini. Long Range Graph Benchmark. In Advances in Neural Information Processing Systems 35 (NeurIPS 2022), New Orleans, LA, USA, pp. 22326-22340,2022.
  23. J. Huang, E.L. Busch, T. Wallenstein, M. Gerasimiuk, A. Benz, G. Lajoie, G. Wolf, N.B. Turk-Browne, and S. Krishnaswamy. Learning shared neural manifolds from multi-subject fMRI data. In Proceedings of the 2022 IEEE International Workshop on Machine Learning for Signal Processing (MLSP), pp. 1-6, 2022.
  24. S. Gauthier, B. Thérien, L. Alsène-Racicot, M. Chaudhary, I. Rish, E. Belilovsky, M. Eickenberg, G. Wolf. Parametric Scattering Networks. In Proceedings of the 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR 2022), New Orleans, Louisiana, pp. 5749-5578, 2022.
  25. A. Tong, G. Huguet, D. Shung, A. Natik, M. Kuchroo, G. Lajoie, G. Wolf, and S. Krishnaswamy. Embedding Signals on Graphs with Unbalanced Diffusion Earth Mover’s Distance. In Proceedings of the 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2022), Singapore, pp. 5647-5651, 2022.
  26. S. Horoi, J. Huang, B. Rieck, G. Lajoie, G. Wolf, and S. Krishnaswamy. Exploring the Geometry and Topology of Neural Network Loss Landscapes. In Advances in Intelligent Data Analysis XX (IDA 2022), Rennes, France, volume 13205 of LNCS, pp. 171-184, 2022.
  27. M. Gerasimiuk, D. Shung, A. Tong, A. Stanley, M. Schultz, J. Ngu, L. Laine, G. Wolf, and S. Krishnaswamy. MURAL: An Unsupervised Random Forest-Based Embedding for Electronic Health Record Data. In Proceedings of the 2021 IEEE International Conference on Big Data, pp. 4694-4704, 2021.
  28. L. Rampášek and G. Wolf. Hierarchical graph neural nets can capture long-range interactions. In Proceedings of the 2021 IEEE International Workshop on Machine Learning for Signal Processing (MLSP), pp. 1-6, 2021.
  29. M. Kuchroo, A. Godavarthi, G. Wolf, and S. Krishnaswamy. Multimodal data visualization and denoising with integrated diffusion. In Proceedings of the 2021 IEEE International Workshop on Machine Learning for Signal Processing (MLSP), pp. 1-6, 2021.
  30. A. Tong, F. Wenkel, K. Macdonald, S. Krishnaswamy, and G. Wolf. Data-driven learning of geometric scattering modules for GNNs. In Proceedings of the 2021 IEEE International Workshop on Machine Learning for Signal Processing (MLSP), pp. 1-6, 2021.
  31. J.S. Rhodes, A. Cutler, G. Wolf, K.R. Moon. Random Forest-based Diffusion Information Geometry for Supervised Visualization and Data Exploration, In Proceedings of the 2021 IEEE Statistical Signal Processing Workshop (SSP), pp. 331-335, 2021.
  32. A. Tong, G. Huguet, A. Natik, K. MacDonald, M. Kuchroo, R. Coifman, G. Wolf, and S. Krishnaswamy. Diffusion Earth Mover's Distance and Distribution Embeddings. In Proceedings of the 38th International Conference on Machine Learning (ICML 2021), Online; PMLR, 139:10336-10346, 2021.
  33. Y. Min, F. Wenkel, and G. Wolf. Geometric Scattering Attention Networks. In Proceedings of the 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2021), Online, pp. 8518-8522, 2021.
  34. Y. Min, F. Wenkel, and G. Wolf. Scattering GCN: Overcoming Oversmoothness in Graph Convolutional Networks. In Advances in Neural Information Processing Systems 33 (NeurIPS 2020), Online, pp. 14498-14508, 2020.
  35. B. Rieck, T. Yates, C. Bock, K. Borgwardt, G. Wolf, N. Turk-Browne, S. Krishnaswamy. Uncovering the Topology of Time-Varying fMRI Data using Cubical Persistence. In Advances in Neural Information Processing Systems 33 (NeurIPS 2020), Online, pp. 6900-6912, 2020.
  36. A.F. Duque, S. Morin, G. Wolf, and K.R. Moon. Extendable and Invertible Manifold Learning with Geometry Regularized Autoencoders. In Proceedings of the 2020 IEEE International Conference on Big Data, Atlanta, GA, USA, pp. 5027-5036, 2020.
  37. E. Castro, A. Benz, A. Tong, G. Wolf, S. Krishnaswamy. Uncovering the Folding Landscape of RNA Secondary Structure with Deep Graph Embeddings. In Proceedings of the 2020 IEEE International Conference on Big Data, Atlanta, GA, USA, pp. 4519-4528, 2020.
  38. A. Tong, G. Wolf, and S. Krishnaswamy. Fixing Bias in Reconstruction-based Anomaly Detection with Lipschitz Discriminators. In Proceedings of the 2020 IEEE International Workshop on Machine Learning for Signal Processing (MLSP 2020), Espoo, Finland, pp. 1-6, 2020.
  39. M. Amodio, D. van Dijk, G. Wolf, and S. Krishnaswamy. Learning General Transformations of Data for Out-of-Sample Extensions. In Proceedings of the 2020 IEEE International Workshop on Machine Learning for Signal Processing (MLSP 2020), Espoo, Finland, pp. 1-6, 2020.
  40. M. Perlmutter, F. Gao, G. Wolf, and M. Hirn. Geometric Wavelet Scattering Networks on Compact Riemannian Manifolds. In Proceedings of the 1st Annual Conference on Mathematical and Scientific Machine Learning (MSML 2020), Princeton, NJ, USA; PMLR, 107:1-35, 2020.
  41. A. Tong, J. Huang, G. Wolf, D. van Dijk, and S. Krishnaswamy. TrajectoryNet: A Dynamic Optimal Transport Network for Modeling Cellular Dynamics. In Proceedings of the 37th International Conference on Machine Learning (ICML 2020), Vienna, Austria; PMLR, 119:9526-9536, 2020.
  42. S. Horoi, V. Geadah, G. Wolf and G. Lajoie. Low-dimensional dynamics of encoding and learning in recurrent neural networks. In Goutte C., Zhu X., editors, Advances in Artificial Intelligence (Canadian AI 2020), Ottawa, ON, Canada, volume 12109 of LNCS, pp. 276-282, 2020.
  43. J.S. Stanley III, S. Gigante, G. Wolf, and S. Krishnaswamy. Harmonic Alignment. In Proceedings of the 2020 SIAM International Conference on Data Mining (SDM20), Cincinnati, OH, USA, pp. 316-324, 2020.
  44. A. Tong, D. van Dijk, J.S. Stanley III, M. Amodio, K. Yim, R. Muhle, J. Noonan, G. Wolf and S. Krishnaswamy. Interpretable Neuron Structuring with Graph Spectral Regularization. In M. Berthold, A. Feelders, G. Krempl, editors, Advances in Intelligent Data Analysis XVIII (IDA 2020), Bodenseeforum, Lake Constance, Germany, volume 12080 of LNCS, pp. 509-521, 2020.
  45. D. van Dijk, D. Burkhardt, M. Amodio, A. Tong, G. Wolf, and S. Krishnaswamy. Finding Archetypal Spaces for Data Using Neural Networks. In Proceedings of the 2019 IEEE International Conference on Big Data, Los Angeles, CA, USA, pp. 2634-2643, 2019.
  46. N. Brugnone, A. Gonopolskiy, M.W. Moyle, M. Kuchroo, D. van Dijk, K.R. Moon, D. Colon-Ramos, G. Wolf, M.J. Hirn, and S. Krishnaswamy. Coarse Graining of Data via Inhomogeneous Diffusion Condensation. In Proceedings of the 2019 IEEE International Conference on Big Data, Los Angeles, CA, USA, pp. 2624-2633, 2019.
  47. A.F. Duque G. Wolf K.R. Moon, Visualizing High Dimensional Dynamical Processes. In Proceeding of the 2019 IEEE International Workshop on Machine Learning for Signal Processing (MLSP 2019), Pittsburgh, PA, USA, pp. 1-6, 2019.
  48. S. Gigante, D. van Dijk, K.R. Moon, A. Strzalkowski, G. Wolf, and S. Krishnaswamy. Modeling Global Dynamics from Local Snapshots with Deep Generative Neural Networks. In The 13th international conference on Sampling Theory and Applications (SampTA 2019), Bordeaux, France, 2019.
  49. S. Gigante, J.S. Stanley III, N. Vu, D. van Dijk, K.R. Moon, G. Wolf, and S. Krishnaswamy. Compressed Diffusion. In the 13th International Conference on Sampling Theory and Applications (SampTA 2019), Bordeaux, France, 2019.
  50. F. Gao, G. Wolf, and M. Hirn, Geometric Scattering for Graph Data Analysis. In Proceedings of the 36th International Conference on Machine Learning (ICML 2019), Long Beach, CA, USA; PMLR, 97:2122-2131, 2019.
  51. D.B. Burkhardt, J.S. Stanley III, G. Wolf, and S. Krishnaswamy. Vertex Frequency Clustering. In Proceedings of the 2019 IEEE Data Science Workshop (DSW 2019), Minneapolis, MN, USA, pp. 145-149, 2019.
  52. O. Lindenbaum, J.S. Stanley III, G. Wolf, and S. Krishnaswamy. Geometry-Based Data Generation. Advances in Neural Information Processing Systems 31 (NeurIPS 2018), Montréal, QC, Canada, pp. 1405-1416, 2018.
  53. G. Wolf, S. Mallat, and S. Shamma. Audio source separation with time-frequency velocities. In Proceedings of the 2014 IEEE International Workshop on Machine Learning for Signal Processing (MLSP 2014), Reims, France, pp. 1-6, 2014.
  54. A. Bermanis, G. Wolf, and A. Averbuch. Measure-based diffusion kernel methods. In Proceeding of the 10th international conference on Sampling Theory and Applications (SampTA 2013), Bremen, Germany, pp. 489-492, 2013.
  55. M. Salhov, G. Wolf, A. Bermanis, and A. Averbuch. Constructive sampling for patch-based embedding. In Proceeding of the 10th international conference on Sampling Theory and Applications (SampTA 2013), Bremen, Germany, pp. 424-427, 2013.
  56. M. Salhov, G. Wolf, A. Bermanis, A. Averbuch, and P. Neittaanmäki. Dictionary construction for patch-to-tensor embedding. In J. Hollmén, F. Klawonn, and A. Tucker, editors, Advances in Intelligent Data Analysis XI (IDA 2012), Helsinki, Finland, volume 7619 of LNCS, pp. 346-356, 2012.
  57. M. Salhov, G. Wolf, A. Averbuch, and P. Neittaanmäki. Patch-based data analysis using linear-projection diffusion. In J. Hollmén, F. Klawonn, and A. Tucker, editors, Advances in Intelligent Data Analysis XI (IDA 2012), Helsinki, Finland, volume 7619 of LNCS, pp. 334-345, 2012.
  58. G. Wolf, Y. Shmuelli, S. Harussi, and A. Averbuch. Polar clustering. In Proceedings of ECCOMAS Thematic Conference on Computational Analysis and Optimization (CAO2011), Jyväskylä, Finland, pp. 174-177, 2011.

Workshops & Symposia:

  1. S. Horoi, A. Orozco Camacho, E. Belilovsky, and G. Wolf. Harmony in diversity: Merging neural networks with canonical correlation analysis. In ICLR 2024 Workshop on Representational Alignment (Re-Align), 2024.
  2. V. White, M. Chaudhary, G. Wolf, G. Lajoie, and K.D. Harris. Learning and aligning structured random feature networks. In ICLR 2024 Workshop on Representational Alignment (Re-Align), 2024.
  3. S. Morin, S. Nath, S.E. Kahou, and G. Wolf. Spectral Temporal Contrastive Learning. In NeurIPS 2023 Workshop on Self-Supervised Learning - Theory and Practice, 2023.
  4. P. Vianna, M. Chaudhary, A. Tang, G. Cloutier, G. Wolf, M. Eickenberg, and E. Belilovsky. Channel Selection for Test-Time Adaptation Under Distribution Shift. In NeurIPS 2023 Workshop on Distribution Shifts: New Frontiers with Foundation Models (DistShift), 2023.
  5. S. Kazem, K. Kumar, G. Huguet, M. Lizotte, T. Renne, J. Kopal, S. Horoi, M. Jean-louis, Z. Saci, L. Almasy, D. Glahn, G. Wolf, G. Dumas, S. Jacquemont. From Gene to Cognition: Mapping the Effects if Genomic Deletion and Duplications on Cognitive Ability. In European Neuropsychopharmacology (vol. 75, supp. 1): Abstracts World Congress of Psychiatric Genetics (WCPG), pp. S255-S256, 2023.
  6. P. Vianna, M. Kulbay, P. Boustros, S.-I. Calce, C. Larocque-Rigney, L. Patry-Beaudoin, Y.H. Luo, M. Chaudary, S. Kadoury, B. Nguyen, E. Montagnon, E. Belilovsky, G. Wolf, M. Chassé, A. Tang, and G. Cloutier. Automated liver segmentation and steatosis grading using deep learning on B-mode ultrasound images. In 2023 IEEE International Ultrasonics Symposium (IUS), 2023.
  7. D. Liao, C. Liu, A. Tong, G. Huguet, G. Wolf, M. Nickel, I. Adelstein, and S. Krishnaswamy. Assessing Neural Network Representations During Training Using Data Diffusion Spectra. In ICML 2023 Workshop on Topology, Algebra, and Geometry in Machine Learning (TAGML), 2023.
  8. G. Huguet, A. Tong, E. De Brouwer, Y. Zhang, G. Wolf, I. Adelstein, and S. Krishnaswamy. A Heat Diffusion Perspective on Geodesic Preserving Dimensionality Reduction. In ICML 2023 Workshop on Topology, Algebra, and Geometry in Machine Learning (TAGML), 2023.
  9. F. Wenkel, G. Wolf, and B. Knyazev. Pretrained Language Models to Solve Graph Tasks in Natural Language. In ICML 2023 Workshop on Structured Probabilistic Inference & Generative Modeling (SPIGM), 2023.
  10. A. Tong, N. Malkin, K. Fatras, L. Atanackovic, Y. Zhang, G. Huguet, G. Wolf, and Y. Bengio. Simulation-Free Schrödinger Bridges via Score and Flow Matching. In ICML 2023 Workshop on on New Frontiers in Learning, Control, and Dynamical Systems, 2023.
  11. A. Tong, N. Malkin, G. Huguet, Y. Zhang, J. Rector-Brooks, K. Fatras, G. Wolf, and Y. Bengio. Improving and generalizing flow-based generative models with minibatch optimal transport. In ICML 2023 Workshop on on New Frontiers in Learning, Control, and Dynamical Systems, 2023.
  12. M. Davari, S. Horoi, A. Natik, G. Lajoie, G. Wolf, E. Belilovsky. Deceiving the CKA Similarity Measure in Deep Learning. In NeurIPS 2022 ML Safety Workshop (MLSW), 2022.
  13. A. Duque, M. Lizotte, G. Wolf, and K. Moon. Multi-View Data Alignment. In Montreal AI Symposium (MAIS 2022), 2022.
  14. A. Tong, G. Huguet, G. Wolf, and S. Krishnaswamy. Geodesic Sinkhorn. In Montreal AI Symposium (MAIS 2022), 2022.
  15. M. Davari, S. Horoi, A. Natik, G. Lajoie, G. Wolf, E. Belilovsky. On the Inadequacy of CKA as a Measure of Similarity in Deep Learning. In ICLR 2022 Workshop on Geometric and Topological Representation Learning (GTRL), 2022.
  16. R. Liu, S. Cantürk, F. Wenkel, D. Sandfelder, D. Kreuzer, A. Little, S. McGuire, M. Perlmutter, L. O'Bray, B. Rieck, M. Hirn, G. Wolf, and L. Rampášek. Towards a taxonomy of graph learning datasets. In NeurIPS 2021 Workshop on Data-Centric AI (DCAI), 2021.
  17. S. Horoi, J. Huang, B.A. Rieck, G. Lajoie, G. Wolf, and S. Krishnaswamy. Exploring the loss landscape of neural networks with manifold learning and topological data analysis. In Montreal AI Symposium (MAIS 2021), 2021.
  18. S. Gauthier, B. Thérien, L. Alsène-Racicot, I. Rish, E. Belilovsky, M. Eickenberg, and G. Wolf. Parametric Scattering Networks. In the DeepMath 2021 Conference on the Mathematical Theory of Deep Neural Networks, 2021.
  19. F. Wenkel, Y. Min, M. Hirn, M. Perlmutter, and G. Wolf. Sensitivity of Graph Neural Networks to Graph Topology. In the DeepMath 2021 Conference on the Mathematical Theory of Deep Neural Networks, 2021.
  20. M. Kuchroo, A. Godavarthi, G. Wolf, and S. Krishnaswamy. Multimodal data visualization, denoising and clustering with integrated diffusion. ICML 2021 Workshop on Computational Biology (WCB), 2021.
  21. B. Sarker, M.-D. Devignes, G. Wolf, and S. Aridhi. Prot-A-GAN: automatic protein function Annotation using GAN-inspired knowledge graph Embedding. ICML 2021 Workshop on Computational Biology (WCB), 2021.
  22. A. Tong, M. Kuchroo, G. Huguet, R.R. Coifman, G. Wolf, and S. Krishnaswamy. Fast diffusion optimal transport for manifold-of-manifold embeddings. In NeurIPS 2020 Workshop on Learning Meaningful Representations of Life (LMRL), 2020.
  23. M. Kuchroo, J. Huang, P. Wong, A. Iwasaki, G. Wolf, and S. Krishnaswamy. Multiscale PHATE exploration of SARS-CoV-2 data reveals signature of disease. In NeurIPS 2020 Workshop on Learning Meaningful Representations of Life (LMRL), 2020.
  24. M. ElAraby, G. Wolf, and M. Carvalho. Identifying efficient sub-networks using mixed integer programming. In NeurIPS 2020 Workshop on Optimization for Machine Learning (OPT2020),2020.
  25. Y. Wang, J. Tang, Y. Sun, and G. Wolf. Decoupled greedy learning of graph neural networks. In NeurIPS 2020 Workshop on Optimization for Machine Learning (OPT2020), 2020.
  26. A.F. Duque, S. Morin, G. Wolf, and K.R. Moon. Extendable and invertible manifold learning withgeometry regularized autoencoders. In NeurIPS 2020 Workshop on Differential Geometry Meets Deep Learning (DiffGeo4DL), 2020.
  27. A. Tong, F. Wenkel, K. Macdonald, S. Krishnaswamy, and G. Wolf. Data-driven learning of geometric scattering networks. In NeurIPS 2020 Workshop on Machine Learning for Molecules (ML4Molecules), 2020.
  28. S. Horoi, J. Huang, G. Wolf, and S. Krishnaswamy. Visualizing high-dimensional trajectories on the loss-landscape of ANNs. In NeurIPS 2020 Workshop on Deep Learning Through Information Geometry (DL-IG), 2020.
  29. A. Tong, F. Wenkel, K. Macdonald, G. Wolf, and S. Krishnaswamy. Scattering priors for graph neural networks. In the DeepMath 2020 Conference on the Mathematical Theory of Deep Neural Networks, 2020.
  30. A.F. Duque, S. Morin, G. Wolf, and K.R. Moon. Extendable and invertible manifold learning withgeometry regularized autoencoders. In the DeepMath 2020 Conference on the Mathematical Theory of Deep Neural Networks, 2020.
  31. V. Geadah, G. Kerg, S. Horoi, G. Wolf, and G. Lajoie. Advantages of biologically-inspired adaptive neural activation in RNNs during learning. In Bernstein Conference, 2020.
  32. Y. Min, F. Wenkel, and G. Wolf. Scattering GCN: Overcoming Oversmoothness in Graph Conv. Networks. In Montreal AI Symposium (MAIS 2020), Montréal, QC, 2020.
  33. S. Morin, A.F. Duque, G. Wolf, and K.R. Moon. Extendable and invertible manifold learning with geometry regularized autoencoders. In Montreal AI Symposium (MAIS), Montréal, QC, 2020.
  34. M. ElAraby, G. Wolf, and M. Carvalho. Optimizing ANN Architectures using Mixed Integer Programming. In Montreal AI Symposium (MAIS), Montréal, QC, 2020.
  35. Y. Min, F. Wenkel, and G. Wolf. Scattering GCN: Overcoming Oversmoothness in Graph Convolutional Networks. In ICML 2020 Graph Representation Learning and Beyond (GRL+) Workshop, Vienna, Austria, 2020.
  36. E. Castro, A. Benz, A. Tong, G. Wolf, and S. Krishnaswamy. Uncovering the Folding Landscape of RNA Secondary Structure with Deep Graph Embeddings. In ICML 2020 Graph Representation Learning and Beyond (GRL+) Workshop, Vienna, Austria, 2020.
  37. B. Rieck, T. Yates, G. Wolf, N. Turk-Browne and S. Krishnaswamy. Topological Methods for fMRI Data. In ICML 2020 Workshop on Computational Biology, Vienna, Austria, 2020.
  38. S. Horoi, G. Lajoie, and G. Wolf. Internal representation dynamics and geometry in recurrent neural networks. In Montreal AI Symposium (MAIS), Montréal, QC, 2019.
  39. J.S. Stanley III, S. Gigante, G. Wolf, and S. Krishnaswamy. Manifold Alignment by Feature Correspondence. In Signal Processing with Adaptive Sparse Structured Representations (SPARS), Toulouse, France, 2019.
  40. S. Gigante, J.S. Stanley III, N. Vu, D. van Dijk, K.R. Moon, G. Wolf, and S. Krishnaswamy. Compressed Diffusion. In Signal Processing with Adaptive Sparse Structured Representations (SPARS), Toulouse, France, 2019.
  41. F. Gao, G. Wolf, and M. Hirn. Geometric Scattering for Graph Data Analysis. In ICLR 2019 Workshop on Representation Learning on Graphs and Manifolds, New Orleans, LA, 2019.
  42. A. Tong, D. van Dijk, J.S. Stanley III, M. Amodio, G. Wolf, and S. Krishnaswamy. Graph Spectral Regularization for Neural Network Interpretability, In ICLR 2019 Workshop on Representation Learning on Graphs and Manifolds, New Orleans, LA, 2019.
  43. D.B. Burkhardt, J.S. Stanley III, A.L. Pertigoto, S.A. Gigante, K.C. Herold, G. Wolf, A.J. Giraldez, D. van Dijk, and S. Krishnaswamy. Enhancing experimental signals in single-cell RNA-sequencing data using graph signal processing. In ICLR 2019 Learning from Limited Labeled Data (LLD) Workshop, New Orleans, LA, 2019.
  44. F. Gao, G. Wolf, and M. Hirn. Geometric Scattering for Graph Data Analysis. In SDM 2019 Workshop on Deep Learning on Graphs, Calgary, AB, 2019.
  45. M. Perlmutter, G. Wolf, M. Hirn. Geometric Scattering on Manifolds. In NeurIPS 2018 Workshop on Integration of Deep Learning Theories, Montréal, QC, 2018.
  46. M. Aksen, S.I. Kronemer, J.S. Prince, Z. Ding, A. Agarwal, G. Wolf, B. Pearlmutter, R.R. Coifman, M. Pitts, H. Blumenfeld. Pupil dynamics as a covert measure of conscious perception in a visual no report paradigm. Program No. 789.12, 2018 Neuroscience Meeting, Society for Neuroscience, San Diego, CA, 2018.
  47. D. van Dijk, S. Gigante, K.R. Moon, A. Strzalkowski, K. Ferguson, J. Cardin, G. Wolf, and S. Krishnaswamy. Modeling Dynamics with Deep Transition-Learning Networks, In Joint ICML and IJCAI 2018 Workshop on Computational Biology (WCB 2018), Stockholm, Sweden, 2018.
  48. O. Lindenbaum, J.S. Stanley III, G. Wolf, and S. Krishnaswamy. Geometry based datageneration. In Joint ICML and IJCAI 2018 Workshop on Computational Biology(WCB2018), Stockholm, Sweden, 2018.
  49. M. Amodio, K. Srinivasan, D. van Dijk, H. Mohsen, K. Yim, R. Muhle, K.R. Moon, R.R.Montgomery, J. Noonan, G. Wolf, S. Krishnaswamy. SAUCIE: Sparse autoencoderfor unsupervised clustering, imputation, and embedding. In Proceedings of the American Association for Cancer Research Annual Meeting 2018, Chicago, IL; Cancer Research, 78(13 Supplement):5306, 2018.
  50. H. Mohsen, K. Srinivasan, K.R. Moon, G. Wolf, D. van Dijk, S. Krishnaswamy, Deep Neural Networks for Imputation, Clustering, and Embedding of Single-Cell Data. In ISMB 2017: 25th conference on Intelligent Systems for Molecular Biology, Prague, Czech Republic, 2017.
  51. K.R. Moon, D. van Dijk, Z. Wang, T. Welp, G. Wolf, R.R. Coifman, N. Ivanova, S. Krishnaswamy, PHATE: Potential Heat-diffusion Affinity-based Trajectory Embedding for Visualization of Progression Structure. In 11th Annual Machine Learning Symposium, New York, NY, USA, 2017.
  52. T. Welp, G. Wolf, M. Hirn, S. Krishnaswamy. A Diffusion-based Condensation Process for Multiscale Analysis of Single Cell Data. In ICML 2016 Workshop on Computational Biology (WCB), New York, NY, USA, 2016.

Book Chapters

  1. G. Wolf, A. Averbuch, and P. Neittaanmäki. Parameter Rating by Diffusion Gradient. In W. Fitzgibbon, Y.A. Kuznetsov, P. Neittaanmäki, O. Pironneau, editors, Modeling, Simulation and Optimization for Science and Technology, volume 34 of Computational Methods in Applied Sciences, pages 225-248. Springer Netherlands, 2014.
  2. G. Wolf, Y. Shmuelli, S. Harussi, and A. Averbuch. Polar classification of nominal data. In S. Repin, T. Tiihonen, and T. Tuovinen, editors, Numerical methods for differential equations, optimization, and technological problems, volume 27 of Computational Methods in Applied Sciences, pages 253-271, Springer Netherlands, 2013.

Reviews:

  1. K.R. Moon, J.S. Stanley III, D. Burkhardt, D. van Dijk, G. Wolf, and S. Krishnaswamy. Manifold learning-based methods for analyzing single-cell RNA-sequencing data. Current Opinion in Systems Biology, 7:36-46, 2018.

Invited Papers:

  1. F. Gao, M. Hirn, M. Perlmutter, and G. Wolf. Geometric wavelet scattering on graphs and manifolds. In SPIE Optical Engineering + Applications, San Diego, CA; Wavelets and Sparsity XVIII, 11138:228-235, 2019.

Office address:
Pavillon André-Aisenstadt (AA-6165)
2920 chemin de la Tour
Montréal (Québec) H3T 1J4
Canada