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cs.LG2026

What's in a Smoothness Constant? Tighter Rates for Local SGD with Bounded Second-order Heterogeneity

Kumar Kshitij Patel, Rustem Islamov, Sebastian U Stich +3

The paper establishes tighter convergence rates for Local SGD (Federated Averaging) on general convex problems under a bounded second‑order heterogeneity assumption, and provides n…

cs.LG2026

Why Do We Need Warm-up? A Theoretical Perspective

Foivos Alimisis, Rustem Islamov, Aurelien Lucchi

Learning rate warm-up -- increasing the learning rate at the beginning of training -- has become a ubiquitous heuristic in modern deep learning, yet its theoretical foundations rem…

cs.LG2026

Beyond a Single Explanation of the Adam--SGD Gap

Chenxiang Zhang, Rustem Islamov, Enea Monzio Compagnoni +3

Prior work has identified several factors that can contribute to the performance gap between Adam and SGD, spanning data aspects, architecture design, and optimization properties.…

cs.LG2026

Byzantine-Robust and Differentially Private Federated Optimization under Weaker Assumptions

Rustem Islamov, Grigory Malinovsky, Alexander Gaponov +3

Federated Learning (FL) enables heterogeneous clients to collaboratively train a shared model without centralizing their raw data, offering an inherent level of privacy. However, g…

cs.LG2026

Where You Place the Norm Matters: From Prejudiced to Neutral Initializations

Emanuele Francazi, Francesco Pinto, Aurelien Lucchi +1

Normalization layers were introduced to stabilize and accelerate training, yet their influence is critical already at initialization, where they shape signal propagation and output…

cs.LG2026

On the Role of Batch Size in Stochastic Conditional Gradient Methods

Rustem Islamov, Roman Machacek, Aurelien Lucchi +3

We study the role of batch size in stochastic conditional gradient methods under a -Kurdyka-Łojasiewicz (-KL) condition. Focusing on momentum-based stochastic conditional…