Recovery Guarantees for Continual Learning of Dependent Tasks: Memory, Data-Dependent Regularization, and Data-Dependent Weights
Fuente:
arXiv
Saved in:
| Main Authors: | Peng, Liangzu, Tadipatri, Uday Kiran Reddy, Xu, Ziqing, Eaton, Eric, Vidal, René |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
SGD with Dependent Data: Optimal Estimation, Regret, and Inference
by: Shen, Yinan, et al.
Published: (2026)
by: Shen, Yinan, et al.
Published: (2026)
On the Nonasymptotic Scaling Guarantee of Hyperparameter Estimation in Inhomogeneous, Weakly-Dependent Complex Network Dynamical Systems
by: Yu, Yi, et al.
Published: (2026)
by: Yu, Yi, et al.
Published: (2026)
Mathematics of Continual Learning
by: Peng, Liangzu, et al.
Published: (2025)
by: Peng, Liangzu, et al.
Published: (2025)
Generalized Grade-of-Membership Estimation for High-dimensional Locally Dependent Data
by: Chen, Ling, et al.
Published: (2024)
by: Chen, Ling, et al.
Published: (2024)
Diffusion Transformer Captures Spatial-Temporal Dependencies: A Theory for Gaussian Process Data
by: Fu, Hengyu, et al.
Published: (2024)
by: Fu, Hengyu, et al.
Published: (2024)
Dependent Latent Class Models
by: Bowers, Jesse, et al.
Published: (2022)
by: Bowers, Jesse, et al.
Published: (2022)
BELIEF in Dependence: Leveraging Atomic Linearity in Data Bits for Rethinking Generalized Linear Models
by: Brown, Benjamin, et al.
Published: (2022)
by: Brown, Benjamin, et al.
Published: (2022)
Asymptotically Optimal Problem-Dependent Bandit Policies for Transfer Learning
by: Prevost, Adrien, et al.
Published: (2025)
by: Prevost, Adrien, et al.
Published: (2025)
Universality of High-Dimensional Logistic Regression and a Novel CGMT under Dependence with Applications to Data Augmentation
by: Mallory, Matthew Esmaili, et al.
Published: (2025)
by: Mallory, Matthew Esmaili, et al.
Published: (2025)
An Interpretable Measure for Quantifying Predictive Dependence between Continuous Random Variables -- Extended Version
by: Assunção, Renato, et al.
Published: (2025)
by: Assunção, Renato, et al.
Published: (2025)
Smaller Confidence Intervals From IPW Estimators via Data-Dependent Coarsening
by: Kalavasis, Alkis, et al.
Published: (2024)
by: Kalavasis, Alkis, et al.
Published: (2024)
Doubly-Unlinked Regression for Dependent Data
by: Burman, Anik, et al.
Published: (2026)
by: Burman, Anik, et al.
Published: (2026)
Nearest-Neighbor Radii under Dependent Sampling
by: Gao, Yuanyuan, et al.
Published: (2026)
by: Gao, Yuanyuan, et al.
Published: (2026)
On the Limitation of Kernel Dependence Maximization for Feature Selection
by: Liu, Keli, et al.
Published: (2024)
by: Liu, Keli, et al.
Published: (2024)
Adaptation to Intrinsic Dependence in Diffusion Language Models
by: Zhao, Yunxiao, et al.
Published: (2026)
by: Zhao, Yunxiao, et al.
Published: (2026)
A Convex Relaxation Approach to Generalization Analysis for Parallel Positively Homogeneous Networks
by: Tadipatri, Uday Kiran Reddy, et al.
Published: (2024)
by: Tadipatri, Uday Kiran Reddy, et al.
Published: (2024)
Least Squares Inference for Data with Network Dependency
by: Lei, Jing, et al.
Published: (2024)
by: Lei, Jing, et al.
Published: (2024)
Robust Estimation for Dependent Binary Network Data
by: Liu, Tianyu, et al.
Published: (2025)
by: Liu, Tianyu, et al.
Published: (2025)
Random Forests as Statistical Procedures: Design, Variance, and Dependence
by: O'Connell, Nathaniel S.
Published: (2026)
by: O'Connell, Nathaniel S.
Published: (2026)
A General Framework for Multiple Testing via E-value Aggregation and Data-Dependent Weighting
by: Li, Guanxun, et al.
Published: (2023)
by: Li, Guanxun, et al.
Published: (2023)
Convergence of the Stochastic Heavy Ball Method With Approximate Gradients and/or Block Updating
by: Tadipatri, Uday Kiran Reddy, et al.
Published: (2023)
by: Tadipatri, Uday Kiran Reddy, et al.
Published: (2023)
Structured Matrix Learning under Arbitrary Entrywise Dependence and Estimation of Markov Transition Kernel
by: Chai, Jinhang, et al.
Published: (2024)
by: Chai, Jinhang, et al.
Published: (2024)
Implicit Regularisation in Diffusion Models: An Algorithm-Dependent Generalisation Analysis
by: Farghly, Tyler, et al.
Published: (2025)
by: Farghly, Tyler, et al.
Published: (2025)
Generalized Taylor's Law for Dependent and Heterogeneous Heavy-Tailed Data
by: Cheng, Pok Him, et al.
Published: (2025)
by: Cheng, Pok Him, et al.
Published: (2025)
Complexity Dependent Error Rates for Physics-informed Statistical Learning via the Small-ball Method
by: Marcondes, Diego
Published: (2025)
by: Marcondes, Diego
Published: (2025)
Data Gluttony: Epistemic Risks, Dependent Testing and Data Reuse in Large Datasets
by: Dale, Reid, et al.
Published: (2025)
by: Dale, Reid, et al.
Published: (2025)
Wasserstein Concentration of Empirical Measures for Dependent Data via the Method of Moments
by: Amini, Arash A., et al.
Published: (2026)
by: Amini, Arash A., et al.
Published: (2026)
Wasserstein-based Minimax Estimation of Dependence in Multivariate Regularly Varying Extremes
by: Zhang, Xuhui, et al.
Published: (2023)
by: Zhang, Xuhui, et al.
Published: (2023)
Generalization Guarantees for Representation Learning via Data-Dependent Gaussian Mixture Priors
by: Sefidgaran, Milad, et al.
Published: (2025)
by: Sefidgaran, Milad, et al.
Published: (2025)
Characterizing Dependence of Samples along the Langevin Dynamics and Algorithms via Contraction of $Φ$-Mutual Information
by: Liang, Jiaming, et al.
Published: (2024)
by: Liang, Jiaming, et al.
Published: (2024)
Regularized Nonlinear Regression with Dependent Errors and its Application to a Biomechanical Model
by: You, Hojun, et al.
Published: (2022)
by: You, Hojun, et al.
Published: (2022)
Convergence of Dirichlet Forms for MCMC Optimal Scaling with Dependent Target Distributions on Large Graphs
by: Ning, Ning
Published: (2022)
by: Ning, Ning
Published: (2022)
Dependent and Independent Time Series
by: Perez-Ramirez, Fredy O., et al.
Published: (2024)
by: Perez-Ramirez, Fredy O., et al.
Published: (2024)
Nonconvex Linear System Identification with Minimal State Representation
by: Tadipatri, Uday Kiran Reddy, et al.
Published: (2025)
by: Tadipatri, Uday Kiran Reddy, et al.
Published: (2025)
Guaranteed Recovery of Unambiguous Clusters
by: Mazooji, Kayvon, et al.
Published: (2025)
by: Mazooji, Kayvon, et al.
Published: (2025)
Implicit Regularization Paths of Weighted Neural Representations
by: Du, Jin-Hong, et al.
Published: (2024)
by: Du, Jin-Hong, et al.
Published: (2024)
$L_2$-Regularized Empirical Risk Minimization Guarantees Small Smooth Calibration Error
by: Fujisawa, Masahiro, et al.
Published: (2025)
by: Fujisawa, Masahiro, et al.
Published: (2025)
Dependence properties of bivariate copula families
by: Ansari, Jonathan, et al.
Published: (2023)
by: Ansari, Jonathan, et al.
Published: (2023)
Online Clustering of Data Sequences with Bandit Information
by: Chandran, G Dhinesh, et al.
Published: (2025)
by: Chandran, G Dhinesh, et al.
Published: (2025)
Near-Optimal Non-Parametric Sequential Tests and Confidence Sequences with Possibly Dependent Observations
by: Bibaut, Aurelien, et al.
Published: (2022)
by: Bibaut, Aurelien, et al.
Published: (2022)
Similar Items
-
SGD with Dependent Data: Optimal Estimation, Regret, and Inference
by: Shen, Yinan, et al.
Published: (2026) -
On the Nonasymptotic Scaling Guarantee of Hyperparameter Estimation in Inhomogeneous, Weakly-Dependent Complex Network Dynamical Systems
by: Yu, Yi, et al.
Published: (2026) -
Mathematics of Continual Learning
by: Peng, Liangzu, et al.
Published: (2025) -
Generalized Grade-of-Membership Estimation for High-dimensional Locally Dependent Data
by: Chen, Ling, et al.
Published: (2024) -
Diffusion Transformer Captures Spatial-Temporal Dependencies: A Theory for Gaussian Process Data
by: Fu, Hengyu, et al.
Published: (2024)