vix.ing · top · new · best · stats · spec

Nicolás García Trillos

  1. Continuum Limit of Posteriors in Graph Bayesian Inverse Problems
    2017/06/22 by Nicolás García Trillos, Daniel Sanz-Alonso, Trillos, Nicolas Garcia +1 · 4 citations
    Computer Science · Decision Sciences · Mathematics · #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Probabilistic and Robust Engineering Design #Probability (math.PR) #Spectral Theory (math.SP) #Statistics Theory (math.ST)
  2. Large sample spectral analysis of graph-based multi-manifold clustering
    2021/07/28 by Nicolás García Trillos, Trillos, Nicolas Garcia, Pengfei He +3 · 4 citations
    Computer Science · Physics and Astronomy · #Advanced Clustering Algorithms Research #Complex Network Analysis Techniques #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Spectral Theory (math.SP) #Topological and Geometric Data Analysis
  3. Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs
    2022/03/04 by Jeff Calder, Nicolás García Trillos · 3 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Graph theory and applications #Spectral Theory in Mathematical Physics
  4. FedCBO: Reaching Group Consensus in Clustered Federated Learning through Consensus-based Optimization
    2023/05/04 by José A. Carrillo, Carrillo, Jose A., Nicolás García Trillos +5 · 3 citations
    Computer Science · #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and ELM #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques
  5. On adversarial robustness and the use of Wasserstein ascent-descent dynamics to enforce it
    2023/01/09 by Camilo Garcia Trillos, Nicolás García Trillos, Trillos, Camilo Garcia +1 · 2 citations
    Computer Science · Engineering · #Adversarial Robustness in Machine Learning #Analysis of PDEs (math.AP) #Anomaly Detection Techniques and Applications #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC) #Probability (math.PR) #Sparse and Compressive Sensing Techniques
  6. A new analytical approach to consistency and overfitting in regularized\n empirical risk minimization
    2016/07/01 by Nicolás García Trillos, Ryan Murray, Trillos, Nicolas Garcia +1 · 1 citation
    Mathematics · #49J45 #49J55 #60D05 #62G20 #68R10 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Statistical Methods and Inference #Statistics Theory (math.ST)
  7. CB2O: Consensus-Based Bi-Level Optimization
    2024/11/20 by Nicolás García Trillos, Trillos, Nicolás García, Sixu Li +5 · 4 citations
    Mathematics · Computer Science · Engineering · #Advanced Optimization Algorithms Research #Polynomial and algebraic computation #Advanced Numerical Analysis Techniques
  8. Local Regularization of Noisy Point Clouds: Improved Global Geometric Estimates and Data Analysis
    2019/04/06 by Nicolás García Trillos, Trillos, Nicolas Garcia, Daniel Sanz-Alonso +3 · 1 citation
    Computer Science · Engineering · Mathematics · #Computer Graphics and Visualization Techniques #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optical Polarization and Ellipsometry #Statistical and numerical algorithms
  9. An Optimal Transport Approach for Computing Adversarial Training Lower Bounds in Multiclass Classification
    2024/01/17 by Nicolás García Trillos, Matt Jacobs, Trillos, Nicolas Garcia +5 · 2 citations
    Computer Science · #Adversarial Robustness in Machine Learning #Anomaly Detection Techniques and Applications #Explainable Artificial Intelligence (XAI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC)
  10. On the regularized risk of distributionally robust learning over deep neural networks
    2021/09/13 by Camilo Garcia Trillos, Trillos, Camilo Garcia, Nicolás García Trillos +1 · 1 citation
    Computer Science · #Adversarial Robustness in Machine Learning #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC) #Probability (math.PR)
  11. Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds
    2025/05/30 by Nicolás García Trillos, LI Cheng-hui, Trillos, Nicolás García +3 · 4 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Analytic and geometric function theory #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical methods in inverse problems
  12. From graph cuts to isoperimetric inequalities: Convergence rates of Cheeger cuts on data clouds
    2020/04/20 by Nicolás García Trillos, Ryan Murray, Trillos, Nicolas Garcia +3 · 1 citation
    Computer Science · Engineering · Mathematics · #Topological and Geometric Data Analysis #3D Shape Modeling and Analysis #Point processes and geometric inequalities
  13. Spectral Neural Networks: Approximation Theory and Optimization Landscape
    2023/10/01 by LI Cheng-hui, Li, Chenghui, Rishi Sonthalia +3 · 1 citation
    Computer Science · Engineering · #Neural Networks and Applications #Machine Learning and ELM #Advanced Memory and Neural Computing
  14. On the Diverse Dynamical Behaviors Arising in Deep Linear Transformers
    2026/07/20 by Sixu Li, Thomas Jacob Maranzatto, Jan Peszek +5
    #cs.LG #math.DS