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20242026
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cs.LG2026

The Hidden Ratio in Adam: Stable Structure, Compression, and Sign Dynamics

Yihe Zhou, Tongtian Zhu, Yingxiao Huo +4

Adam is the default optimizer for training modern deep neural networks, yet its adaptive behavior remains poorly understood due to the complex interaction between its first- and se…

cs.RO2026

Guided Riemannian Optimization (GuRO): Bridging Model Predictive Control and Decision Transformers

Hossein Abdi, Satya Prakash Dash, Mingfei Sun

Decision-making in high-dimensional, nonlinear systems remains a central challenge in robotics. While model-based methods like Model Predictive Control (MPC) offer sample efficienc…

cs.AI2026

Generative-Model Predictive Planning for Navigation in Partially Observable Environments

Thomas Quilter, Yifan Zhu, Guorui Quan +2

Navigation in partially observable environments presents a significant challenge for autonomous agents, requiring effective decision-making with limited sensory information in unkn…

cs.LG2026

Convergent Stochastic Training of Multi-Headed 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

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.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…