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cs.LG2026

Not All Drift Is a Mechanism: Tracing Prompt Adaptation in LLMs

Mikhail Aleksandrov, Nail Bashirov, Maksim Ivanov +6

Prompt-based adaptation offers several ways to specialize a frozen language model, ranging from natural-language prompt optimization to learned continuous prompts. These methods ar…

cs.LG2026

Multi-Stream Residual Computation in Diffusion Language Models

Ekaterina Alimaskina, Suren Kazarian, Gleb Molodtsov +1

Diffusion language models reconstruct masked tokens in parallel, offering an alternative to autoregressive generation. Yet their Transformer backbones typically carry visible evide…

cs.LG2026

Monarch-Muon: Structure-Aware Muon for Fast and Memory-Efficient Pretraining

Alexander Miasnikov, Ruslan Kabirov, Gleb Molodtsov +7

Training large language models is constrained by both wall-clock time and memory footprint, and recent matrix-aware optimizers sharpen this tradeoff: Muon can improve optimization…

cs.LG2026

Mask-Guided KV Cache Eviction in Block Diffusion Language Models

Gleb Molodtsov, Ekaterina Alimaskina, Evgeny Uskov +2

Block diffusion language models keep a large key-value (KV) cache throughout generation and attend to it at every denoising step, limiting both memory capacity and generation speed…

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

Controlling Refusal Behavior of LLMs via Stiefel-Constrained Rotation Steering

Kirill Bunin, Dmitry Bylinkin, Vladimir Aletov +3

Activation steering has emerged as a lightweight approach for controlling model refusal at inference time. A growing line of research explores trainable rotations of activations to…

cs.LG2026

Leveraging Association Context Retrieval in Knowledge Edit- ing to Build White-Box Attacks on LLMs

Roman Maksimov, Vladimir Aletov, Vladimir Solodkin +3

As large language models (LLMs) are granted increasing autonomy, it is essential to investigate methods that can induce unsafe behavior. We propose a novel white-box attack inspire…

cs.LG2026

Zero-order Parameter-free Optimization for LMO-based Methods: Novel Approach for Efficient Fine-tuning

Dmitriy Bystrov, Daniil Medyakov, Dmitry Bylinkin +1

Fine-tuning large language models (LLMs) has become a central application of modern optimization, enabling pretrained models to adapt to diverse downstream tasks and domain-specifi…

cs.LG2026

Analyzing Stream Collapse in Hyper-Connections: From Diagnosis to Mitigation

Ekaterina Alimaskina, Gleb Molodtsov, Aleksandr Beznosikov

Hyper-Connections (HC) replace the single Transformer residual stream with multiple streams, introducing a permutation symmetry over stream indices. We study how this symmetry is r…

cs.LG2026

Rethinking the Role of Tensor Decompositions in Post-Training LLM Compression

Artur Zagitov, Alexander Miasnikov, Maxim Krutikov +5

Post-training compression is essential for deploying large language models (LLMs) under tight resource constraints. Tensor decompositions have emerged as a promising direction, off…

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

Scalable Knowledge Editing for Mixture-of-Experts LLMs via Tensor-Structured Updates

Roman Maksimov, Vladimir Aletov, Dmitry Bylinkin +3

Knowledge editing (KE) provides a lightweight alternative to repeated fine-tuning of LLMs. However, most existing KE methods target dense feed-forward layers, while modern LLMs inc…

cs.LG2026

Hierarchical Mixture-of-Experts with Two-Stage Optimization

Gleb Molodtsov, Alexander Miasnikov, Aleksandr Beznosikov

Sparse Mixture-of-Experts (MoE) models scale capacity by routing each token to a small subset of experts. However, their routers exhibit a fundamental trade-off: strong load balanc…

cs.LG2026

HARP: Hadamard-Preconditioned Adaptive Rotation Processor for Extreme LLM Quantization

Artur Zagitov, Gleb Molodtsov, Aleksandr Beznosikov

Post-training quantization (PTQ) is essential for deploying LLMs under memory and bandwidth constraints. However, extreme low-bit quantization remains highly sensitive to activatio…

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

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…