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cs.LG2026

Softly Constrained Denoisers for Diffusion Models Applied to Partial Differential Equations

Victor M. Yeom-Song, Severi Rissanen, Arno Solin +2

Diffusion models have become a powerful generative prior for solutions of partial differential equations (PDEs). Existing approaches enforce physical constraints either by adding t…

cs.LG2026

Convergent Stochastic Training of Attention and Understanding LoRA

Zhengkai Sun, Dibyakanti Kumar, Alejandro F Frangi +2

Transformers have revolutionized machine learning and deploying attention layers in the model is increasingly standard across a myriad of applications. Further, for large models, i…

cs.LG2026

Gradient Regularized Natural Gradients

Satya Prakash Dash, Hossein Abdi, Wei Pan +2

Gradient regularization (GR) has been shown to improve the generalizability of trained models. While Natural Gradient Descent has been shown to accelerate optimization in the initi…

cs.LG2026

On the Generalization Behavior of Deep Residual Networks From a Dynamical System Perspective

Jinshu Huang, Mingfei Sun, Chunlin Wu

Deep neural networks (DNNs) have significantly advanced machine learning, with model depth playing a central role in their successes. The dynamical system modeling approach has rec…

cs.LG2026

Rank-1 Approximation of Inverse Fisher for Natural Policy Gradients in Deep Reinforcement Learning

Yingxiao Huo, Satya Prakash Dash, Radu Stoican +2

Natural gradients have long been studied in deep reinforcement learning due to their fast convergence properties and covariant weight updates. However, computing natural gradients…

cs.LG2025

LoKO: Low-Rank Kalman Optimizer for Online Fine-Tuning of Large Models

Hossein Abdi, Mingfei Sun, Andi Zhang +2

Training large models with millions or even billions of parameters from scratch incurs substantial computational costs. Parameter Efficient Fine-Tuning (PEFT) methods, particularly…