Since April 2024, I have been a postdoctoral researcher in the High-Dimensional Structure Theory Team at RIKEN, under the supervision of Masaaki Imaizumi, working on theoretical machine learning and high-dimensional statistics.
Before that, I was a postdoctoral researcher in the Imperfect Information Learning Team from 2023 to 2024. Prior to that, I completed my Ph.D. at Inria Lille - Nord Europe, as part of the MODAL team, supervised by Christophe Biernacki and Hemant Tyagi. My thesis focused on clustering and matching problems on graphs with efficient first-order methods.
Spectral Gradient Descent Mitigates Anisotropy-Driven Misalignment: A
Case Study in Phase Retrieval
G. Braun, H. Bao, W. Huang, M. Imaizumi, Preprint (2026) [Arxiv]
Fast Escape, Slow Convergence: Learning Dynamics of Phase Retrieval
under Power-Law Data
G. Braun, B. Loureiro, H.Q. Minh, M. Imaizumi, ICLR (2026), Oral Presentation [Arxiv]
Neuron Block Dynamics for XOR Classification with Zero-Margin
G. Braun and M. Imaizumi, AISTATS (2026)[Arxiv]
Learning a Single Index Model from Anisotropic Data with
Vanilla Stochastic Gradient Descent
G. Braun, H.Q. Minh and M. Imaizumi, AISTATS (2025) [Arxiv]
VEC-SBM: Optimal Community Detection with Vectorial Edge Covariates
G. Braun and M. Sugiyama, AISTATS (2024) [PMLR]
Strong Consistency Guarantees for Clustering High-Dimensional Bipartite Graphs with the Spectral Method
G. Braun, Electronic Journal of Statistics (2024) [EJS]
Minimax Optimal Clustering of Bipartite Graphs with a Generalized Power Method
G. Braun and H. Tyagi, Information and Inference: A Journal of the IMA (2023). [ArXiv]
Seeded graph matching for the correlated Wigner model via the projected power method
E. Araya, G. Braun and H. Tyagi, Journal of Machine Learning Research (2024) [JMLR]
An iterative clustering algorithm for the Contextual Stochastic Block Model with optimality guarantees
G. Braun, H. Tyagi, and C. Biernacki, ICML (2022). [ArXiv]
Clustering multilayer graphs with missing nodes
G. Braun, H. Tyagi, and C. Biernacki, AISTATS (2021). [PMLR] [Code][Poster]
How Anisotropy Shapes Learning Dynamics and the Role of Optimization Geometry
FIMI 2026, Tokyo.
異方性データを用いたシングルインデックスモデルの学習:バニラSGDの解析
FIT 2025, Sapporo.
Clustering de graphes bipartis en grande dimension : limites statistiques et algorithmes efficaces
Journées MAS 2024, Poitiers.
Clustering Bipartite graphs with the Generalized Power Method
SIAM Workshop on Network Science 2022, lightning talk
Clustering graphs with side information
SPSR Workshop, Bucharest (online), November 19th, 2021
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