Huang, Jiaoyang
- How Does Information Bottleneck Help Deep Learning?
2023/05/30 by Kawaguchi, Kenji, Deng, Zhun, Ji, Xu +1 · 24 citations
#Artificial Intelligence (cs.AI) #Computation and Language (cs.CL) #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Information Theory (cs.IT) #Machine Learning (cs.LG)
- Dynamics of Deep Neural Networks and Neural Tangent Hierarchy
2019/09/18 by Jiaoyang Huang, Huang, Jiaoyang, Horng‐Tzer Yau +1 · 7 citations
Computer Science · Physics and Astronomy · #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Neural Networks and Applications #Stochastic Gradient Optimization Techniques
- Mesoscopic Perturbations of Large Random Matrices
2014/12/13 by Jiaoyang Huang, Huang, Jiaoyang · 3 citations
Mathematics · #Random Matrices and Applications #Advanced Combinatorial Mathematics #Advanced Algebra and Geometry
- Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs
2017/12/11 by Jiaoyang Huang, Benjamin Landon, Huang, Jiaoyang +3 · 3 citations
Mathematics · #05C50 #05C80 #15B52 #60B20 #FOS: Mathematics #Graph theory and applications #Probability (math.PR) #Random Matrices and Applications #Spectral Theory in Mathematical Physics
- Efficient Derivative-free Bayesian Inference for Large-Scale Inverse Problems
2022/04/09 by Daniel Zhengyu Huang, Jiaoyang Huang, Huang, Daniel Zhengyu +4 · 4 citations
Computer Science · Mathematics · #Bayesian Methods and Mixture Models #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Markov Chains and Monte Carlo Methods #Numerical Analysis (math.NA)
- Dyson Brownian Motion for General β and Potential at the Edge
2018/10/18 by Arka Adhikari, Jiaoyang Huang, Adhikari, Arka +1 · 3 citations
Mathematics · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Statistical Methods and Bayesian Inference
- Gradient Flows for Sampling: Mean-Field Models, Gaussian Approximations and Affine Invariance
2023/02/21 by Yifan Chen, Daniel Zhengyu Huang, Chen, Yifan +6 · 4 citations
Computer Science · #Adversarial Robustness in Machine Learning #FOS: Computer and information sciences #FOS: Mathematics #Generative Adversarial Networks and Image Synthesis #Machine Learning (stat.ML) #Machine Learning and Data Classification #Numerical Analysis (math.NA)
- Strong Characterization for the Airy Line Ensemble
2023/08/23 by Amol Aggarwal, Jiaoyang Huang, Aggarwal, Amol +1 · 4 citations
Mathematics · #Stochastic processes and statistical mechanics #Mathematical Dynamics and Fractals #Geometry and complex manifolds
- Spectrum of Random d-regular Graphs Up to the Edge
2021/02/01 by Jiaoyang Huang, Huang, Jiaoyang, Horng‐Tzer Yau +1 · 3 citations
Mathematics · #Random Matrices and Applications #Graph theory and applications #Advanced Algebra and Geometry
- Edge Universality of Sparse Random Matrices
2022/06/14 by Jiaoyang Huang, Horng‐Tzer Yau, Huang, Jiaoyang +1 · 3 citations
Mathematics · #Random Matrices and Applications #Spectral Theory in Mathematical Physics #Stochastic processes and statistical mechanics
- Sampling via Gradient Flows in the Space of Probability Measures
2023/10/05 by Yifan Chen, Daniel Zhengyu Huang, Chen, Yifan +6 · 3 citations
Computer Science · Physics and Astronomy · #Adversarial Robustness in Machine Learning #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Generative Adversarial Networks and Image Synthesis #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Statistical Mechanics and Entropy
- Ramanujan Property and Edge Universality of Random Regular Graphs
2024/12/28 by Jiaoyang Huang, Huang, Jiaoyang, Theo McKenzie +4 · 1 voice · 4 citations
Mathematics · #Graph theory and applications #Limits and Structures in Graph Theory #Finite Group Theory Research
- Robustness Implies Generalization via Data-Dependent Generalization Bounds
2022/06/27 by Kenji Kawaguchi, Kawaguchi, Kenji, Zhun Deng +5 · 2 citations
Computer Science · #Adversarial Robustness in Machine Learning #Artificial Intelligence (cs.AI) #Computer Vision and Pattern Recognition (cs.CV) #Domain Adaptation and Few-Shot Learning #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #Probability (math.PR)
- Fisher-Rao Gradient Flow: Geodesic Convexity and Functional Inequalities
2024/07/22 by Carrillo, José A., Chen, Yifan, Huang, Daniel Zhengyu +2 · 3 citations
#Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (cs.LG) #Statistics Theory (math.ST)
- Edge Universality of Random Regular Graphs of Growing Degrees
2023/05/02 by Jiaoyang Huang, Horng‐Tzer Yau, Huang, Jiaoyang +1 · 2 citations
Mathematics · #Graph theory and applications #Spectral Theory in Mathematical Physics #Limits and Structures in Graph Theory
- Eigenvector Statistics of Sparse Random Matrices
2016/09/28 by Bourgade, Paul, Huang, Jiaoyang, Yau, Horng-Tzer · 1 citation
#05C50 #05C80 #15B52 #60B20 #FOS: Mathematics #Probability (math.PR)
- Gradient Descent Finds Global Minima for Generalizable Deep Neural Networks of Practical Sizes
2019/08/05 by Kenji Kawaguchi, Kawaguchi, Kenji, Jiaoyang Huang +1 · 3 citations
Computer Science · Engineering · #Advanced Neural Network Applications #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural and Evolutionary Computing (cs.NE) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
- Rigidity and Edge Universality of Discrete β-Ensembles
2017/05/16 by Alice Guionnet, Jiaoyang Huang, Guionnet, Alice +1 · 1 citation
Computer Science · Mathematics · #15B52 #82B44 #Bayesian Methods and Mixture Models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics
- Invertibility of adjacency matrices for random d-regular graphs
2018/07/16 by Huang, Jiaoyang · 1 citation
#05C80 #15B33 #15B52 #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)
- Eigenvalues for the Minors of Wigner Matrices
2019/07/24 by Huang, Jiaoyang · 1 citation
#60B20 #60G55 #FOS: Mathematics #Probability (math.PR)
- Power Iteration for Tensor PCA
2020/12/26 by Huang, Jiaoyang, Huang, Daniel Z., Yang, Qing +1 · 1 citation
#FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST)
- Efficient, Multimodal, and Derivative-Free Bayesian Inference With Fisher-Rao Gradient Flows
2024/06/25 by Chen, Yifan, Huang, Daniel Zhengyu, Huang, Jiaoyang +2 · 2 citations
#Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- PatchGT: Transformer over Non-trainable Clusters for Learning Graph Representations
2022/11/26 by Han Gao, Gao, Han, Xu Han +7 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · #Advanced Graph Neural Networks #Artificial Intelligence (cs.AI) #Bioinformatics and Genomic Networks #FOS: Computer and information sciences #FOS: Mathematics #Geometric Topology (math.GT) #Machine Learning (cs.LG)
- Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models
2025/06/16 by Daniel Zhengyu Huang, Huang, Daniel Zhengyu, Jiaoyang Huang +3 · 4 citations
Chemistry · Computer Science · Engineering · #Blind Source Separation Techniques #Classical Analysis and ODEs (math.CA) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Spectroscopy and Chemometric Analyses #Surface Roughness and Optical Measurements
- Local geometry of high-dimensional mixture models: Effective spectral theory and dynamical transitions
2025/02/21 by Gérard Ben Arous, Reza Gheissari, Arous, Gerard Ben +5 · 2 citations
Computer Science · Mathematics · #Stochastic Gradient Optimization Techniques #Gaussian Processes and Bayesian Inference #Random Matrices and Applications
- Spectral alignment of stochastic gradient descent for high-dimensional classification tasks
2023/10/04 by Arous, Gerard Ben, Gheissari, Reza, Huang, Jiaoyang +1 · 2 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR)
- Edge Rigidity of Dyson Brownian Motion with General Initial Data
2023/08/08 by Aggarwal, Amol, Huang, Jiaoyang · 1 citation
#60B20 #60F05 #82C22 #FOS: Mathematics #Probability (math.PR)
- Extremal eigenvectors of sparse random matrices
2025/01/27 by Yukun He, Jiaoyang Huang, He, Yukun +3 · 2 citations
Mathematics · #05C50 #05C80 #15B52 #60B20 #Advanced Algebra and Geometry #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #advanced mathematical theories
- Optimal Eigenvalue Rigidity of Random Regular Graphs
2024/05/20 by Huang, Jiaoyang, McKenzie, Theo, Yau, Horng-Tzer · 1 citation
#05C80 #60B20 #FOS: Mathematics #Probability (math.PR)
- A convergence framework for Airyβ line ensemble via pole evolution
2024/11/15 by Huang, Jiaoyang, Zhang, Lingfu · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Fluctuations for non-Hermitian dynamics
2024/09/04 by Paul Bourgade, Bourgade, Paul, Giorgio Cipolloni +3 · 1 citation
Physics and Astronomy · Chemistry · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Molecular spectroscopy and chirality
- Extremal Eigenvalues of Random Kernel Matrices with Polynomial Scaling
2024/10/23 by Kogan, David, Nandy, Sagnik, Huang, Jiaoyang · 1 citation
#FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST)
- Fluctuation of the Largest Eigenvalue of a Kernel Matrix with application in Graphon-based Random Graphs
2024/01/03 by Chatterjee, Anirban, Huang, Jiaoyang · 1 citation
#FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST)