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09/18/2023
Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data
Recent years have witnessed the huge success of deep neural networks (DN...
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09/07/2023
Improved theoretical guarantee for rank aggregation via spectral method
Given pairwise comparisons between multiple items, how to rank them so t...
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12/27/2021
Near-Optimal Bounds for Generalized Orthogonal Procrustes Problem via Generalized Power Method
Given multiple point clouds, how to find the rigid transform (rotation, ...
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06/29/2021
Generalized Power Method for Generalized Orthogonal Procrustes Problem: Global Convergence and Optimization Landscape Analysis
Given a set of multiple point clouds, how to find the rigid transformati...
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12/01/2020
Improved Performance Guarantees for Orthogonal Group Synchronization via Generalized Power Method
Given the noisy pairwise measurements among a set of unknown group eleme...
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08/12/2020
Near-Optimal Performance Bounds for Orthogonal and Permutation Group Synchronization via Spectral Methods
Group synchronization asks to recover group elements from their pairwise...
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06/01/2020
Solving Orthogonal Group Synchronization via Convex and Low-Rank Optimization: Tightness and Landscape Analysis
Group synchronization aims to recover the group elements from their nois...
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04/21/2020
Strong Consistency, Graph Laplacians, and the Stochastic Block Model
Spectral clustering has become one of the most popular algorithms in dat...
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06/29/2018
Certifying Global Optimality of Graph Cuts via Semidefinite Relaxation: A Performance Guarantee for Spectral Clustering
Spectral clustering has become one of the most widely used clustering te...
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10/16/2017