Tran, Phuc

1. New matrix perturbation bounds via combinatorial expansion I: Perturbation of eigenspaces
   2024/09/30 by Tran, Phuc, Vu, Van · 4 citations
   #47A55 #68W40 #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #Spectral Theory (math.SP) #Statistics Theory (math.ST)
2. Davis-Kahan Theorem under a moderate gap condition
   2025/10/25 by Tran, Phuc, Vu, Van · 6 citations
   #47A55 #65C20 #68W40 #FOS: Mathematics #Numerical Analysis (math.NA) #Spectral Theory (math.SP) #Statistics Theory (math.ST)
3. Spectral Perturbation Bounds for Low-Rank Approximation with Applications to Privacy
   2025/10/29 by Tran, Phuc, Vishnoi, Nisheeth K., Vu, Van H. · 3 citations
   #Cryptography and Security (cs.CR) #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Spectral Theory (math.SP)
4. Perturbation Bounds for Low-Rank Inverse Approximations under Noise
   2025/10/29 by Tran, Phuc, Vishnoi, Nisheeth K. · 2 citations
   #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Spectral Theory (math.SP) #Statistics Theory (math.ST)
5. New perturbation bounds for low rank approximation of matrices: Beyond Eckart-Young-Mirsky
   2025/11/12 by Phuc Tran, Tran, Phuc, Van Khu Vu +1 · 1 citation
   Computer Science · Mathematics · Engineering · #Stochastic Gradient Optimization Techniques #Tensor decomposition and applications #Sparse and Compressive Sensing Techniques