Rigollet, Philippe
- A mathematical perspective on Transformers
2023/12/17 by Borjan Geshkovski, Geshkovski, Borjan, Cyril Letrouit +5 · 5 voices · 58 citations
Computer Science · #Topic Modeling #cs.LG #math.AP #math.DS
- The emergence of clusters in self-attention dynamics
2023/05/09 by Borjan Geshkovski, Cyril Letrouit, Geshkovski, Borjan +5 · 2 voices · 33 citations
#cs.LG #math.AP #stat.ML
- Nonparametric Bandits with Covariates
2010/03/08 by Philippe Rigollet, Rigollet, Philippe, Assaf Zeevi +1 · 14 citations
Business, Management and Accounting · Computer Science · Decision Sciences · #62C20. #62L05 #Advanced Bandit Algorithms Research #Consumer Market Behavior and Pricing #FOS: Mathematics #Primary 62G08. Secondary 62L12 #Reinforcement Learning in Robotics #Statistics Theory (math.ST)
- Exponential Screening and optimal rates of sparse estimation
2010/03/12 by Philippe Rigollet, Rigollet, Philippe, Tsybakov, Alexandre · 13 citations
Mathematics · #62C20 #62G20 #62J05 #Advanced Causal Inference Techniques #Advanced Statistical Methods and Models #FOS: Mathematics #Primary 62G08 #Secondary 62G05 #Statistical Methods and Inference #Statistics Theory (math.ST)
- Variational inference via Wasserstein gradient flows
2022/05/31 by Marc Lambert, Lambert, Marc, Sinho Chewi +7 · 16 citations
Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Statistical Methods and Inference #Statistics Theory (math.ST)
- Statistical optimal transport
2024/07/25 by Chewi, Sinho, Niles-Weed, Jonathan, Rigollet, Philippe · 25 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Statistics Theory (math.ST)
- SVGD as a kernelized Wasserstein gradient flow of the chi-squared divergence
2020/06/03 by Sinho Chewi, Thibaut Le Gouic, Chewi, Sinho +7 · 8 citations
Computer Science · Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #Adversarial Robustness in Machine Learning #FOS: Computer and information sciences #FOS: Mathematics #Geometric Analysis and Curvature Flows #Machine Learning (cs.LG) #Markov Chains and Monte Carlo Methods #Statistics Theory (math.ST)
- Uncoupled isotonic regression via minimum Wasserstein deconvolution
2018/06/27 by Rigollet, Philippe, Weed, Jonathan · 6 citations
#62G08 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Statistics Theory (math.ST)
- Computational Lower Bounds for Sparse PCA
2013/04/03 by Quentin Berthet, Philippe Rigollet, Berthet, Quentin +1 · 7 citations
Engineering · Computer Science · Mathematics · #Sparse and Compressive Sensing Techniques #Machine Learning and Algorithms #Statistical Methods and Inference
- Optimal dimension dependence of the Metropolis-Adjusted Langevin\n Algorithm
2020/12/23 by Sinho Chewi, Chewi, Sinho, Chen Lü +10 · 7 citations
Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Markov Chains and Monte Carlo Methods #Statistical Methods and Inference #Statistics Theory (math.ST)
- An Optimal Transport Approach to Estimating Causal Effects via Nonlinear Difference-in-Differences
2021/08/12 by Torous, William, Gunsilius, Florian, Rigollet, Philippe · 7 citations
#Econometrics (econ.EM) #FOS: Computer and information sciences #FOS: Economics and business #FOS: Mathematics #Methodology (stat.ME) #Statistics Theory (math.ST)
- Optimal rates of estimation for multi-reference alignment
2017/02/27 by Bandeira, Afonso S., Rigollet, Philippe, Weed, Jonathan · 5 citations
#FOS: Mathematics #Statistics Theory (math.ST)
- Online learning in repeated auctions
2015/11/18 by Weed, Jonathan, Perchet, Vianney, Rigollet, Philippe · 5 citations
#Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Primary 62L05 #secondary 62C20
- Exponential ergodicity of mirror-Langevin diffusions
2020/05/19 by Chewi, Sinho, Gouic, Thibaut Le, Lu, Chen +3 · 5 citations
#60J25 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Statistics Theory (math.ST)
- Dynamic metastability in the self-attention model
2024/10/09 by Borjan Geshkovski, Hugo Koubbi, Geshkovski, Borjan +5 · 15 citations
Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #Theoretical and Computational Physics #Quantum many-body systems
- Fast and Smooth Interpolation on Wasserstein Space
2020/10/22 by Chewi, Sinho, Clancy, Julien, Gouic, Thibaut Le +3 · 5 citations
#FOS: Mathematics #Optimization and Control (math.OC) #Statistics Theory (math.ST)
- Entropic optimal transport is maximum-likelihood deconvolution
2018/09/14 by Rigollet, Philippe, Weed, Jonathan · 4 citations
#FOS: Mathematics #Statistics Theory (math.ST)
- Neyman-Pearson classification, convexity and stochastic constraints
2011/02/28 by Rigollet, Philippe, Tong, Xin · 3 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Statistics Theory (math.ST)
- Estimation of Wasserstein distances in the Spiked Transport Model
2019/09/16 by Jonathan Niles‐Weed, Niles-Weed, Jonathan, Philippe Rigollet +1 · 4 citations
Mathematics · Computer Science · Biochemistry, Genetics and Molecular Biology · #Markov Chains and Monte Carlo Methods #Topological and Geometric Data Analysis #Diffusion and Search Dynamics
- On the sample complexity of entropic optimal transport
2022/06/27 by Philippe Rigollet, Rigollet, Philippe, Austin J. Stromme +1 · 5 citations
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy
- Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space
2019/08/02 by Gouic, Thibaut Le, Paris, Quentin, Rigollet, Philippe +1 · 3 citations
#FOS: Mathematics #Metric Geometry (math.MG) #Statistics Theory (math.ST)
- Measure-to-measure interpolation using Transformers
2024/11/07 by Borjan Geshkovski, Geshkovski, Borjan, Philippe Rigollet +3 · 1 voice · 7 citations
#math.OC #cs.LG #stat.ML
- Clustering in Causal Attention Masking
2024/11/07 by Karagodin, Nikita, Polyanskiy, Yury, Rigollet, Philippe · 9 citations
#35Q68 #37N99 #68T07 #82C22 #Analysis of PDEs (math.AP) #Artificial Intelligence (cs.AI) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG)
- Minimax Rates and Efficient Algorithms for Noisy Sorting
2017/10/28 by Cheng Mao, Mao, Cheng, Jonathan Weed +3 · 3 citations
Computer Science · Decision Sciences · Economics, Econometrics and Finance · #Auction Theory and Applications #Bayesian Modeling and Causal Inference #FOS: Computer and information sciences #FOS: Mathematics #Game Theory and Voting Systems #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Statistics Theory (math.ST)
- Exact recovery in the Ising blockmodel
2016/12/12 by Berthet, Quentin, Rigollet, Philippe, Srivastava, Piyush · 2 citations
#62H30 #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Mathematics #Statistics Theory (math.ST)
- Optimal Rates of Statistical Seriation
2016/07/08 by Nicolas Flammarion, Flammarion, Nicolas, Cheng Mao +3 · 4 citations
Agricultural and Biological Sciences · Computer Science · Mathematics · #62G08 #Advanced Statistical Methods and Models #Bayesian Methods and Mixture Models #FOS: Computer and information sciences #FOS: Mathematics #Face and Expression Recognition #Machine Learning (stat.ML) #Sensory Analysis and Statistical Methods #Statistics Theory (math.ST)
- Statistical Optimal Transport via Factored Couplings
2018/06/19 by Aden Forrow, Forrow, Aden, Jan-Christian Hütter +9 · 2 citations
Computer Science · Engineering · Mathematics · #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #Markov Chains and Monte Carlo Methods #Sparse and Compressive Sensing Techniques
- Learning Gaussian Mixtures Using the Wasserstein-Fisher-Rao Gradient Flow
2023/01/04 by Yuling Yan, Yan, Yuling, Kaizheng Wang +3 · 4 citations
Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Statistical Methods and Inference #Statistics Theory (math.ST)
- On the Approximation Accuracy of Gaussian Variational Inference
2023/01/05 by Katsevich, Anya, Rigollet, Philippe · 3 citations
#FOS: Mathematics #Statistics Theory (math.ST)
- GULP: a prediction-based metric between representations
2022/10/12 by Enric Boix-Adsera, Boix-Adsera, Enric, Hannah Lawrence +5 · 1 voice · 2 citations
#cs.LG
- The query complexity of sampling from strongly log-concave distributions in one dimension
2021/05/29 by Sinho Chewi, Chewi, Sinho, Patrik Gerber +7 · 2 citations
Mathematics · Computer Science · #Markov Chains and Monte Carlo Methods #Complexity and Algorithms in Graphs #Machine Learning and Algorithms
- Quantitative Clustering in Mean-Field Transformer Models
2025/04/20 by Shi Chen, Chen, Shi, Yury Polyanskiy +4 · 11 citations
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #Quantum many-body systems
- The Mean-Field Dynamics of Transformers
2025/12/01 by Philippe Rigollet, Rigollet, Philippe · 3 voices · 4 citations
#cs.LG #math-ph #math.DS #math.PR
- Linear and convex aggregation of density estimators
2006/05/11 by Philippe Rigollet, Alexandre B. Tsybakov, Rigollet, Philippe +1 · 1 citation
Mathematics · Medicine · #62G05 #62G20 #FOS: Mathematics #Liver Disease Diagnosis and Treatment #Primary 62G08 #Secondary 62C20 #Statistical Methods and Bayesian Inference #Statistical Methods and Inference #Statistics Theory (math.ST)
- The sample complexity of multi-reference alignment
2017/07/04 by Perry, Amelia, Weed, Jonathan, Bandeira, Afonso S. +2 · 1 citation
#62B10 #92C55 #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Statistics Theory (math.ST)
- Estimation Rates for Sparse Linear Cyclic Causal Models
2019/06/08 by Hütter, Jan-Christian, Rigollet, Philippe · 1 citation
#62F99 #FOS: Mathematics #Statistics Theory (math.ST)
- Minimax estimation of smooth optimal transport maps
2019/05/14 by Hütter, Jan-Christian, Rigollet, Philippe · 1 citation
#62G05 #FOS: Mathematics #Statistics Theory (math.ST)
- Gradient descent algorithms for Bures-Wasserstein barycenters
2020/01/06 by Chewi, Sinho, Maunu, Tyler, Rigollet, Philippe +1 · 1 citation
#58E #68W25 #FOS: Mathematics #Primary: 62F10 #Secondary: 90C26 #Statistics Theory (math.ST)
- Rejection sampling from shape-constrained distributions in sublinear time
2021/05/29 by Sinho Chewi, Patrik Gerber, Chewi, Sinho +7 · 1 citation
Computer Science · Decision Sciences · #Advanced Bandit Algorithms Research #Adversarial Robustness in Machine Learning #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #Statistics Theory (math.ST)
- Sparse Multi-Reference Alignment : Phase Retrieval, Uniform Uncertainty Principles and the Beltway Problem
2021/06/24 by Subhro Ghosh, Philippe Rigollet, Ghosh, Subhro +1 · 1 citation
Materials Science · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Electron and X-Ray Spectroscopy Techniques #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR) #Statistics Theory (math.ST)
- High-Dimensional Statistics
2023/10/30 by Philippe Rigollet, Rigollet, Philippe, Jan-Christian Hütter +1 · 1 voice
Computer Science · #Advanced Clustering Algorithms Research
- Synchronization of mean-field models on the circle
2025/07/30 by Polyanskiy, Yury, Rigollet, Philippe, Yao, Andrew · 5 citations
#Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC)
- Normalization in Attention Dynamics
2025/10/24 by Karagodin, Nikita, Ge, Shu, Polyanskiy, Yury +1 · 2 citations
#35Q68 #37C10 #37N99 #68T07 #82C22 #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Machine Learning (cs.LG)
- Residual connections provably mitigate oversmoothing in graph neural networks
2025/01/01 by Ziang Chen, Chen, Ziang, Lin, Zhengjiang +6 · 2 citations
Computer Science · Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Functional Brain Connectivity Studies #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural Networks and Applications #Probability (math.PR)
- On the Structure of Stationary Solutions to McKean-Vlasov Equations with Applications to Noisy Transformers
2025/10/23 by Krishnakumar Balasubramanian, Sayan Banerjee, Balasubramanian, Krishnakumar +3 · 3 citations
Engineering · Environmental Science · Physics and Astronomy · #34K18 #35B27 #35Q70 #35Q83 #60H50 #82C22 #Analysis of PDEs (math.AP) #Artificial Intelligence (cs.AI) #Ecosystem dynamics and resilience #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR) #Statistical Mechanics and Entropy #Thermoelastic and Magnetoelastic Phenomena
- Bures-Wasserstein Barycenters and Low-Rank Matrix Recovery
2022/10/26 by Tyler Maunu, Maunu, Tyler, Thibaut Le Gouic +3 · 1 citation
Computer Science · Engineering · Medicine · #Advanced Image Processing Techniques #Advanced Neuroimaging Techniques and Applications #FOS: Mathematics #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Statistics Theory (math.ST)
- Critical attention scaling in long-context transformers
2025/10/07 by Shi Chen, Chen, Shi, Zhengjiang Lin +5 · 3 citations
Computer Science · Mathematics · #Artificial Intelligence (cs.AI) #Classical Analysis and ODEs (math.CA) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #cs.AI #cs.DM #cs.LG #math.CA