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20242026
most citedA Mathematical Model of the Hidden Feedback Loop Effect in Machine Learning Systems

4 citations · 5 across the 16 of their papers we have counts for

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cs.LG2026

LionMuon: Alternating Spectral and Sign Descent for Efficient Training

Arman Bolatov, Artem Riabinin, Nikita Kornilov +4

Pretraining a language model takes enormous compute, and the right optimizer can save a good part of it. Muon's spectral step gives a stronger direction than a sign step, but it is…

cs.LG2026

LoRA-TSD: Tangent-Space Spectral Descent for LoRA via Muon-Style Updates

Dmitrii Andriianov, Andrey Veprikov, Aleksandr Beznosikov

Low-rank adaptation (LoRA) is the standard way to fine-tune large models, yet when its two factors are trained independently, the update ignores the geometry of the low-rank weight…

cs.LG2026

Softsign: Smooth Sign in Your Optimizer For Better Parameter Heterogeneity Handling

Dmitrii Feoktistov, Timofey Belinsky, Andrey Veprikov +2

Sign-based and LMO-inspired optimizers have recently attracted substantial attention in deep learning due to their strong performance and low memory footprint. However, their fixed…

cs.LG2026

Why SGD is not Brownian Motion: A New Perspective on Stochastic Dynamics

Igor Ignashin, Anna Radovskaya, Andrew Semenov +7

Stochastic Gradient Descent (SGD) is commonly modeled as a Langevin process, assuming that minibatch noise acts as Brownian motion. However, this approximation relies on a continuo…

cs.LG2026

LionMuon: Alternating Spectral and Sign Descent for Efficient Training

Arman Bolatov, Artem Riabinin, Nikita Kornilov +4

In large-scale optimization, the cheapness and effectiveness of update steps are the most crucial factors for a successful optimizer. Sign-based optimizers like Lion or Signum prod…

cs.LG2026

Beyond SGD, Without SVD: Proximal Subspace Iteration LoRA with Diagonal Fractional K-FAC

Abdulla Jasem Almansoori, Maria Ivanova, Andrey Veprikov +3

Low-Rank Adaptation (LoRA) fine-tunes large models by learning low-rank updates on top of frozen weights, dramatically reducing trainable parameters and memory. In this work, we ad…

cs.LG2026

Zero-Order Optimization for LLM Fine-Tuning via Learnable Direction Sampling

Valery Parfenov, Grigoriy Evseev, Andrey Veprikov +3

Fine-tuning large pretrained language models (LLMs) is a cornerstone of modern NLP, yet its growing memory demands (driven by backpropagation and large optimizer States) limit depl…

cs.LG2026

Where Does Warm-Up Come From? Adaptive Scheduling for Norm-Constrained Optimizers

Artem Riabinin, Andrey Veprikov, Arman Bolatov +2

We study adaptive learning rate scheduling for norm-constrained optimizers (e.g., Muon and Lion). We introduce a generalized smoothness assumption under which local curvature decre…

cs.LG2025

DyKAF: Dynamical Kronecker Approximation of the Fisher Information Matrix for Gradient Preconditioning

Nikolay Yudin, Ekaterina Grishina, Andrey Veprikov +2

Recently, optimizers that explicitly treat weights as matrices, rather than flattened vectors, have demonstrated their effectiveness. This perspective naturally leads to structured…

cs.LG2025

Preconditioned Norms: A Unified Framework for Steepest Descent, Quasi-Newton and Adaptive Methods

Andrey Veprikov, Arman Bolatov, Aleksandr Bogdanov +4

Optimization lies at the core of modern deep learning, yet existing methods often face a fundamental trade-off between adapting to problem geometry and leveraging curvature utiliza…

cs.LG2025

Aligning Distributionally Robust Optimization with Practical Deep Learning Needs

Dmitrii Feoktistov, Igor Ignashin, Andrey Veprikov +4

While traditional Deep Learning (DL) optimization methods treat all training samples equally, Distributionally Robust Optimization (DRO) adaptively assigns importance weights to di…

cs.LG2025

Faster Than SVD, Smarter Than SGD: The OPLoRA Alternating Update

Abdulla Jasem Almansoori, Maria Ivanova, Andrey Veprikov +3

Low-Rank Adaptation (LoRA) fine-tunes large models by learning low-rank updates on top of frozen weights, dramatically reducing trainable parameters and memory. However, there is s…

cs.LG2025

Leveraging Coordinate Momentum in SignSGD and Muon: Memory-Optimized Zero-Order

Egor Petrov, Grigoriy Evseev, Aleksey Antonov +4

Fine-tuning Large Language Models (LLMs) is essential for adapting pre-trained models to downstream tasks. Yet traditional first-order optimizers such as Stochastic Gradient Descen…

cs.LG2025

WeightLoRA: Keep Only Necessary Adapters

Andrey Veprikov, Vladimir Solodkin, Alexander Zyl +2

The widespread utilization of language models in modern applications is inconceivable without Parameter-Efficient Fine-Tuning techniques, such as low-rank adaptation ($\texttt{LoRA…

cs.LG2024★ 4 cited

A Mathematical Model of the Hidden Feedback Loop Effect in Machine Learning Systems

Andrey Veprikov, Alexander Afanasiev, Anton Khritankov

Widespread deployment of societal-scale machine learning systems necessitates a thorough understanding of the resulting long-term effects these systems have on their environment, i…