Philippe Rigollet
- A mathematical perspective on Transformers
2023/12/17 by Borjan Geshkovski, Geshkovski, Borjan, Cyril Letrouit +5 · 5 voices · 45 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 · 28 citations
#cs.LG #math.AP #stat.ML
- Nonparametric Bandits with Covariates
2010/03/08 by Philippe Rigollet, Rigollet, Philippe, Assaf Zeevi +1 · 8 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)
- Variational inference via Wasserstein gradient flows
2022/05/31 by Marc Lambert, Sinho Chewi, Lambert, Marc +7 · 11 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)
- Optimal dimension dependence of the Metropolis-Adjusted Langevin\n Algorithm
2020/12/23 by Sinho Chewi, Chewi, Sinho, Chen Lü +10 · 5 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)
- Dynamic metastability in the self-attention model
2024/10/09 by Borjan Geshkovski, Hugo Koubbi, Geshkovski, Borjan +5 · 12 citations
Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #Theoretical and Computational Physics #Quantum many-body systems
- Computational Lower Bounds for Sparse PCA
2013/04/03 by Quentin Berthet, Berthet, Quentin, Philippe Rigollet +1 · 4 citations
Engineering · Computer Science · Mathematics · #Sparse and Compressive Sensing Techniques #Machine Learning and Algorithms #Statistical Methods and Inference
- Estimation of Wasserstein distances in the Spiked Transport Model
2019/09/16 by Jonathan Niles‐Weed, Philippe Rigollet, Niles-Weed, Jonathan +1 · 3 citations
Mathematics · Computer Science · Biochemistry, Genetics and Molecular Biology · #Markov Chains and Monte Carlo Methods #Topological and Geometric Data Analysis #Diffusion and Search Dynamics
- Measure-to-measure interpolation using Transformers
2024/11/07 by Borjan Geshkovski, Geshkovski, Borjan, Philippe Rigollet +3 · 1 voice · 6 citations
#math.OC #cs.LG #stat.ML
- Exponential Screening and optimal rates of sparse estimation
2010/03/12 by Philippe Rigollet, Rigollet, Philippe, Tsybakov, Alexandre · 3 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)
- 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)
- The query complexity of sampling from strongly log-concave distributions in one dimension
2021/05/29 by Sinho Chewi, Patrik Gerber, Chewi, Sinho +7 · 2 citations
Mathematics · Computer Science · #Markov Chains and Monte Carlo Methods #Complexity and Algorithms in Graphs #Machine Learning and Algorithms
- Optimal Rates of Statistical Seriation
2016/07/08 by Nicolas Flammarion, Flammarion, Nicolas, Cheng Mao +3 · 3 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)
- The Mean-Field Dynamics of Transformers
2025/12/01 by Philippe Rigollet, Rigollet, Philippe · 3 voices · 3 citations
#cs.LG #math-ph #math.DS #math.PR
- Quantitative Clustering in Mean-Field Transformer Models
2025/04/20 by Shi Chen, Chen, Shi, Yury Polyanskiy +4 · 9 citations
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #Quantum many-body systems
- On the sample complexity of entropic optimal transport
2022/06/27 by Philippe Rigollet, Rigollet, Philippe, Austin J. Stromme +1 · 2 citations
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy
- Statistical Optimal Transport via Factored Couplings
2018/06/19 by Aden Forrow, Jan-Christian Hütter, Forrow, Aden +9 · 1 citation
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
- GULP: a prediction-based metric between representations
2022/10/12 by Enric Boix-Adsera, Hannah Lawrence, Boix-Adsera, Enric +5 · 1 voice · 1 citation
#cs.LG
- Rejection sampling from shape-constrained distributions in sublinear time
2021/05/29 by Sinho Chewi, Chewi, Sinho, Patrik Gerber +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)
- High-Dimensional Statistics
2023/10/30 by Philippe Rigollet, Rigollet, Philippe, Jan-Christian Hütter +1 · 1 voice
Computer Science · #Advanced Clustering Algorithms Research
- 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
- 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)
- Critical attention scaling in long-context transformers
2025/10/07 by Shi Chen, Chen, Shi, Zhengjiang Lin +5 · 2 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