Research Lab
My group is interested in Artificial Intelligence, Optimization, and Machine Learning and its applications. We develop new methodologies (e.g., new optimization and learning algorithms), work on combining learning and decision-making, as well as design AI Systems for real-world deployment in various application contexts. Recent examples include the estimation of biomass from satellite data, entanglement and non-locality thresholds via optimization, new constructions in extremal combinatorics via AI, as well as questions around AI and creativity. group homepage more about research and projects
TL;DR. We use computers to learn from data and make better decisions.
ETC. Hashed Commitments AI News
Prospective Students. If you are interested in working in our group or writing your MS/BS thesis please check our openings.
Select Recent Papers
(see publications for a complete list)
- Göß, A., Martin, A., Pokutta, S., and Sharma, K. (2025). Norm-induced Cuts: Optimization with Lipschitzian Black-box Functions. To Appear in Journal of Global Optimization. [arXiv] ipopt
- Hojny, C., Besançon, M., Bestuzheva, K., Borst, S., Chmiela, A., Dionísio, J., Eifler, L., Ghannam, M., Gleixner, A., Göß, A., Hoen, A., van der Hulst, R., Kamp, D., Koch, T., Kofler, K., Lentz, J., Maher, S. J., Mexi, G., Mühmer, E., … Xu, L. (2025). The SCIP Optimization Suite 10.0. Preprint. [arXiv] computationalipoptsoftware
- Khoruzhii, K., Gelß, P., and Pokutta, S. (2025). Faster Algorithms for Structured Matrix Multiplication via Flip Graph Search. Preprint. [arXiv] compalgcomputational
- Xiao, W., Hendrych, D., Besançon, M., and Pokutta, S. (2025). Boscia.jl: A review and tutorial. Preprint. [arXiv] fwminlpoptsoftware
- Xu, L., Liu, Y.-C., and Pokutta, S. (2025). Convex semidefinite tensor optimization and quantum entanglement. Preprint. [arXiv] optquantum
- Roux, C., Zimmer, M., d’Aspremont, A., and Pokutta, S. (2025). Don’t Be Greedy, Just Relax! Pruning LLMs via Frank-Wolfe. Preprint. [arXiv] fwllmmloptpruningsparsity
- Wagner, M., Roux, C., Zimmer, M., and Pokutta, S. (2025). A Free Lunch in LLM Compression: Revisiting Retraining after Pruning. Preprint. [arXiv] llmmlpruningsparsity
- Pelleriti, N., Spiegel, C., Liu, S., Martínez-Rubio, D., Zimmer, M., and Pokutta, S. (2025). Neural Sum-of-Squares: Certifying the Nonnegativity of Polynomials with Transformers. Preprint. [arXiv] ai4mathcompalgml
- Kera, H., Pelleriti, N., Ishihara, Y., Zimmer, M., and Pokutta, S. (2025). Computational Algebra with Attention: Transformer Oracles for Border Basis Algorithms. To Appear in Proceedings of NeurIPS. [arXiv] ai4mathcompalgml
- Halbey, J., Rakotomandimby, S., Besançon, M., Designolle, S., and Pokutta, S. (2025). Efficient Quadratic Corrections for Frank-Wolfe Algorithms. To Appear in Proceedings of NeurIPS. [arXiv] fwopt
- Gonnermann-Müller, J., Haase, J., Fackeldey, K., and Pokutta, S. (2025). FACET: Teacher-Centred LLM-Based Multi-Agent Systems – Towards Personalized Educational Worksheets. Preprint. [arXiv] haiimlsocial
- Mexi, G., Hendrych, D., Designolle, S., Besançon, M., and Pokutta, S. (2025). A Frank-Wolfe-based primal heuristic for quadratic mixed-integer optimization. Preprint. [arXiv] ipminlpoptsoftware
- Besançon, M., Designolle, S., Halbey, J., Hendrych, D., Kuzinowicz, D., Pokutta, S., Troppens, H., Viladrich Herrmannsdoerfer, D., and Wirth, E. (2025). Improved algorithms and novel applications of the FrankWolfe.jl library. To Appear in Transactions on Mathematical Software. [arXiv] optsoftware
- Haase, J., and Pokutta, S. (2025). Human–AI Cocreativity: Exploring synergies across levels of creative collaboration. In J. C. Kaufman & M. Worwood (Eds.), to appear in Generative Artificial Intelligence and Creativity. [arXiv] haiimlsocial
- Liu, Y.-C., Halbey, J., Pokutta, S., and Designolle, S. (2025). A Unified Toolbox for Multipartite Entanglement Certification. Preprint. [arXiv] optphysicsquantum
- Pokutta, S. (2025). Scalable DC Optimization via Adaptive Frank-Wolfe Algorithms. Preprint. [arXiv] computationalopt
- Porto, L. E. A., Designolle, S., Pokutta, S., and Quintino, M. T. (2025). Measurement incompatibility and quantum steering via linear programming. Preprint. [arXiv] optphysicsquantum
- Haase, J., and Pokutta, S. (2025). Beyond Static Responses: Multi-Agent LLM Systems as a New Paradigm for Social Science Research. Preprint. [arXiv] haiimlsocial
- Wirth, E., Peña, J., and Pokutta, S. (2025). Adaptive Open-Loop Step-Sizes for Accelerated Convergence Rates of the Frank-Wolfe Algorithm. Preprint. [arXiv] mlopt
- Sadiku, S., Chitranshi, K., Kera, H., and Pokutta, S. (2025). Training on Plausible Counterfactuals Removes Spurious Correlations. Preprint. [arXiv] mlxai
- Pelleriti, N., Zimmer, M., Wirth, E., and Pokutta, S. (2025). Approximating Latent Manifolds in Neural Networks via Vanishing Ideals. To Appear in Proceedings of ICML. [arXiv] compalgmltheory
- Hendrych, D., Besançon, M., Martínez-Rubio, D., and Pokutta, S. (2025). Secant Line Search for Frank-Wolfe Algorithms. To Appear in Proceedings of ICML. [arXiv] opt
- Wirth, E., Peña, J., and Pokutta, S. (2025). Fast Convergence of Frank-Wolfe algorithms on polytopes. To Appear in Mathematics of Operations Research. [arXiv] mlopt
- Roux, C., Martínez-Rubio, D., and Pokutta, S. (2025). Implicit Riemannian Optimism with Applications to Min-Max Problems. To Appear in Proceedings of ICML. [arXiv] mlopt
- Mundinger, K., Zimmer, M., Kiem, A., Spiegel, C., and Pokutta, S. (2025). Neural Discovery in Mathematics: Do Machines Dream of Colored Planes? To Appear in Proceedings of ICML. [arXiv] ai4mathai4sciencedggraphs (Oral Presentation + Conference Proceedings)
- Iommazzo, G., Martínez-Rubio, D., Criado, F., Wirth, E., and Pokutta, S. (2025). Linear Convergence of the Frank-Wolfe Algorithm over Product Polytopes. Preprint. [arXiv] mlopt
- Urbano, A., Romero, D. W., Zimmer, M., and Pokutta, S. (2025). RECON: Robust symmetry discovery via Explicit Canonical Orientation Normalization. Preprint. [arXiv] mlsymmetry
- Haase, J., Klessascheck, F., Mendling, J., and Pokutta, S. (2025). Sustainability via LLM Right-sizing. Preprint. [arXiv] haiimlsustainability
- Takahashi, S., Pokutta, S., and Takeda, A. (2025). Accelerated Convergence of Frank–Wolfe Algorithms with Adaptive Bregman Step-Size Strategy. Preprint. [arXiv] fwopt
- Sharma, U., Goel, K., Dua, A., Pokutta, S., and Woodstock, Z. (2025). A note on asynchronous Projective Splitting in Julia. Preprint. [arXiv] opt
- Zimmer, M., Spiegel, C., and Pokutta, S. (2025). Compression-aware Training of Neural Networks using Frank-Wolfe. In K. Fackeldey, A. Kannan, S. Pokutta, K. Sharma, D. Walter, A. Walther, & M. Weiser (Eds.), Mathematical Optimization for Machine Learning (pp. 137–168). De Gruyter. [PDF] [arXiv] mloptsparsity
- Aigner, K.-M., Denzler, S., Liers, F., Pokutta, S., and Sharma, K. (2025). Scenario Reduction for Distributionally Robust Optimization. Preprint. [arXiv] optrobopt
- Lasby, M., Zimmer, M., Pokutta, S., and Schultheis, E. (2025). Compressed sparse tiles for memory-efficient unstructured and semi-structured sparsity. Proceedings of ICLR 2025 Workshop on Sparsity in LLMs (SLLM). [PDF] [conference] hpcml
- Carderera, A., Pokutta, S., Schütte, C., and Weiser, M. (2025). An efficient first-order conditional gradient algorithm in data-driven sparse identification of nonlinear dynamics to solve sparse recovery problems under noise. To Appear in Journal of Computational and Applied Mathematics. [PDF] [arXiv] [summary] ai4sciencemlopt
- Głuch, G., Turan, B., Nagarajan, S. G., and Pokutta, S. (2025). The Good, the Bad and the Ugly: Watermarks, Transferable Attacks and Adversarial Defenses. Proceedings of ICLR 2025 Workshop on GenAI Watermarking (WMARK). [arXiv] [summary] [poster] [conference] mlxai
- Martínez-Rubio, D., and Pokutta, S. (2025). Beyond Short Steps in Frank-Wolfe Algorithms. Preprint. [arXiv] mlopt
- Fackeldey, K., Kannan, A., Pokutta, S., Sharma, K., Walter, D., Walther, A., and Weiser, M. (Eds.). (2025). Mathematical Optimization for Machine Learning. de Gruyter. [PDF] mlopt (Proceedings of MATH+ TES Summer Semester 2023)
- Sadiku, S., Wagner, M., Nagarajan, S. G., and Pokutta, S. (2025). S-CFE: Simple Counterfactual Explanations. To Appear in Proceedings of AISTATS. [arXiv] mlxai
- Martinez-Rubio, D., Roux, C., Criscitiello, C., and Pokutta, S. (2025). Accelerated Methods for Riemannian Min-Max Problems. To Appear in Proceedings of AISTATS. [arXiv] mlopt
- Mexi, G., Kamp, D., Shinano, Y., Pu, S., Hoen, A., Bestuzheva, K., Hojny, C., Walter, M., Pfetsch, M. E., Pokutta, S., and Koch, T. (2025). State-of-the-art Methods for Pseudo-Boolean Solving with SCIP. Preprint. [arXiv] computationalipoptsoftware
- Kerdreux, T., d’Aspremont, A., and Pokutta, S. (2025). Local and Global Uniform Convexity Conditions. To Appear in Special Issue of Fields Institute Communications. [arXiv] mlopt
- Wirth, E., Besançon, M., and Pokutta, S. (2025). The Pivoting Framework: Frank-Wolfe Algorithms with Active Set Size Control. To Appear in Proceedings of AISTATS. [arXiv] mlopt (Oral Presentation + Conference Proceedings)
- Designolle, S., Vértesi, T., and Pokutta, S. (2024). Better bounds on Grothendieck constants of finite orders. Preprint. [arXiv] optphysicsquantum
- Abbas, A., Ambainis, A., Augustino, B., Bärtschi, A., Buhrman, H., Coffrin, C., Cortiana, G., Dunjko, V., Egger, D. J., Elmegreen, B. G., Franco, N., Fratini, F., Fuller, B., Gacon, J., Gonciulea, C., Gribling, S., Gupta, S., Hadfield, S., Heese, R., … Zoufal, C. (2024). Quantum Optimization: Potential, Challenges, and the Path Forward. Nature Reviews Physics. [PDF] [arXiv] optphysicsquantumsurvey
Select Recent Talks and Teaching
- 12/2025: (general) “Wie wird KI gemacht und wo stehen wir heute? (in German)”. Keynote at Wintertagung 2025 der Berlin-Brandenburgische Augenärztliche Gesellschaft (Berlin, Germany).
- 12/2025: (technical) “A gentle introduction to Frank-Wolfe Algorithms”. Talk at Humboldt-Universität zu Berlin Optimization Seminar Series (Berlin, Germany).
- 11/2025: (general) “Datenbasierte Schulentwicklung, Bildung, und KI (in German)”. Keynote at Fachtag: KI + Schule (Berlin, Germany).
- 09/2025: (technical) “Splitting Algorithms via Linear Optimization Oracles”. Talk at Discrete Optimization. A conference in honour of Robert Weismantel (Zurich, Switzerland). [slides]
- 06/2025: (technical) “Constrained Optimization via Frank-Wolfe Algorithms”. Plenary at 22nd Conference on Advances in Continuous Optimization (EUROPT) (Southampton, UK). [slides]
- WS/2025: Discrete Optimization and Machine Learning (seminar)
Recent Blog Posts
- 10/2025: 2025 Nobel Prize in Economics: Innovation, Creative Destruction, and Sustainable Growth — and What It Means for Germany
- 09/2025: Committing to Secrets via Hashing
- 09/2025: Little’s Law and Conference Reviewing: the Queueing Perspective
- 08/2025: Why the hell does nobody build more affordable housing in Berlin?!
- 05/2025: A New Default Open-Loop Step-Size for Frank-Wolfe?
Select Outreach
- 11/2024: El aprendizaje automático ayuda a atacar problemas matemáticos clásicos (Machine learning helps attack classical mathematical problems). El Pais: Café y teoremas. (Newspaper (Spanish))
- 11/2024: Zukunftsforum KI. IHK Berlin. (Panel Discussion (German))
- 10/2021: Improve the World with Maths?. Humboldt Forum: Discourse, Science and Humanities. (Talk + Discussion (German))
- 05/2021: Durch KI verhandene Ressourcen effizienter nutzen. Aufbruch Ausgabe 28. (Interview (German))
- 12/2020: Folge 7: „Trendsetter Internet? Angstmacher KI? Folgen der Digitalisierung“. Brain City Berlin. (Podcast (German))
News
- 10/2025: Our book on Conditional Gradients and Frank-Wolfe methods has been published in the MOS-SIAM Series on Optimization.
- Fall 2025: Sai Ganesh Nagarajan started a Tenure Track Assistant Professor Position at the Department of Mathematics and Computer Science (IMADA), Southern Denmark University, Odense, Denmark. Congratulations!
- Summer 2025: Sébastien Designolle started an Inria Starting Faculty Position in the QINFO group based at the École Normale Supérieure in Lyon. Congratulations!
- 06/2025: Together with Gioni Mexi, Deborah Hendrych, Sébastien Designolle, and Mathieu Besançon, we won the Land-Doing MIP Computational Competition 2025.
- 05/2025: Cluster of Excellence MATH+ got extended for another 7 years.