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Simulations of exciton and charge hopping in amorphous organic materials involve numerous physical parameters. Each of these parameters must be computed from costly ab initio calculations before the simulation can commence, resulting in a…

Rotary positional embeddings (RoPE) are widely used in large language models to encode token positions through multiplicative rotations, yet their behavior at long context lengths remains poorly characterized. In this work, we reinterpret…

机器学习 · 计算机科学 2026-02-12 Feilong Liu

Two characteristics that make convex decomposition algorithms attractive are simplicity of operations and generation of parallelizable structures. In principle, these schemes require that all coordinates update at the same time, i.e., they…

最优化与控制 · 数学 2018-03-07 Giorgos Stathopoulos , Colin N. Jones

Diffusion Transformers rely on static patchify tokenization, assigning the same token budget to smooth backgrounds, detailed object regions, noisy early timesteps, and late-stage refinements. We introduce the Dynamic Chunking Diffusion…

计算机视觉与模式识别 · 计算机科学 2026-05-08 Akash Haridas , Utkarsh Saxena , Parsa Ashrafi Fashi , Mehdi Rezagholizadeh , Vikram Appia , Emad Barsoum

This paper is concerned with the theory, construction and application of implicit Peer two-step methods that are super-convergent for variable stepsizes, i.e., preserve their classical order achieved for uniform stepsizes when applied to…

最优化与控制 · 数学 2024-04-23 Jens Lang , Bernhard A. Schmitt

Introducing controlled overlap among a few repetition blocks yields a fourfold asymptotic rate improvement while preserving an average stabilizer weight of \(4\). Substituting the overlapped outer layer with an LDPC code further produces a…

信息论 · 计算机科学 2025-11-21 En-Jui Chang

Despite the computational efficiency of MoE models, the excessive memory footprint and I/O overhead inherent in multi-expert architectures pose formidable challenges for real-time inference on resource-constrained edge platforms. While…

机器学习 · 计算机科学 2026-03-20 Yuegui Huang , Zhiyuan Fang , Weiqi Luo , Ruoyu Wu , Wuhui Chen , Zibin Zheng

Group synchronization plays a crucial role in global pipelines for Structure from Motion (SfM). Its formulation is nonconvex and it is faced with highly corrupted measurements. Cycle consistency has been effective in addressing these…

计算机视觉与模式识别 · 计算机科学 2024-07-08 Shaohan Li , Yunpeng Shi , Gilad Lerman

Polynomial chaos expansion (PCE) is a powerful surrogate model-based reliability analysis method. Generally, a PCE model with a higher expansion order is usually required to obtain an accurate surrogate model for some complex non-linear…

机器学习 · 计算机科学 2022-04-05 Xiaohu Zheng , Wen Yao , Yunyang Zhang , Xiaoya Zhang

It is widely acknowledged that the performance of Transformer models is logarithmically related to their number of parameters and computational complexity. While approaches like Mixture of Experts (MoE) decouple parameter count from…

机器学习 · 计算机科学 2025-02-07 Zihao Huang , Qiyang Min , Hongzhi Huang , Defa Zhu , Yutao Zeng , Ran Guo , Xun Zhou

Partial Differential Equations (PDEs) are fundamental for modeling physical systems, yet solving them in a generic and efficient manner using machine learning-based approaches remains challenging due to limited multi-input and multi-scale…

机器学习 · 计算机科学 2025-08-12 Yichen Luo , Jia Wang , Dapeng Lan , Yu Liu , Zhibo Pang

Surrogate models for computational simulations are input-output approximations that allow computationally intensive analyses, such as uncertainty propagation and inference, to be performed efficiently. When a simulation output does not…

计算工程、金融与科学 · 计算机科学 2014-08-05 Alex A. Gorodetsky , Youssef M. Marzouk

Equivariance is central to graph generative models, as it ensures the model respects the permutation symmetry of graphs. However, strict equivariance can increase computational cost due to added architectural constraints, and can slow down…

机器学习 · 计算机科学 2026-02-23 Benjamin Honoré , Alba Carballo-Castro , Yiming Qin , Pascal Frossard

The numerical simulation of strongly first-order phase transitions has remained a notoriously difficult problem even for classical systems due to the exponentially suppressed (thermal) equilibration in the vicinity of such a transition. In…

统计力学 · 物理学 2010-04-14 Bela Bauer , Emanuel Gull , Simon Trebst , Matthias Troyer , David A. Huse

Modeling dynamic temporal dependencies is a critical challenge in time series pre-training, which evolve due to distribution shifts and multi-scale patterns. This temporal variability severely impairs the generalization of pre-trained…

机器学习 · 计算机科学 2025-09-19 Yuemin Wu , Zhongze Wu , Xiu Su , Feng Yang , Hongyan Xu , Xi Lin , Wenti Huang , Shan You , Chang Xu

The Deferred Correction (DeC) is an iterative procedure, characterized by increasing accuracy at each iteration, which can be used to design numerical methods for systems of ODEs. The main advantage of such framework is the automatic way of…

数值分析 · 数学 2023-11-09 Lorenzo Micalizzi , Davide Torlo

The marriage of recurrent neural networks and neural ordinary differential networks (ODE-RNN) is effective in modeling irregularly-observed sequences. While ODE produces the smooth hidden states between observation intervals, the RNN will…

机器学习 · 计算机科学 2020-10-06 Jing Shi , Jing Bi , Yingru Liu , Chenliang Xu

We introduce EfficientTDMPC, a sample-efficient model-based reinforcement learning method for continuous control built on the TD-MPC family of algorithms. Central to this family is a planner that aims to find an action sequence that…

机器学习 · 计算机科学 2026-05-20 Thomas Evers , Cristian Meo , Wendelin Bohmer , Justin Dauwels , Yaniv Oren

This paper proposes an improved quasi-Newton penalty decomposition algorithm for the minimization of continuously differentiable functions, possibly nonconvex, over sparse symmetric sets. The method solves a sequence of penalty subproblems…

最优化与控制 · 数学 2026-01-21 Ahmad Mousavi , Morteza Kimiaei , Saman Babaie-Kafaki , Vyacheslav Kungurtsev

This paper presents a robust adaptive learning Model Predictive Control (MPC) framework for linear systems with parametric uncertainties and additive disturbances performing iterative tasks. The approach refines the parameter estimates…

系统与控制 · 电气工程与系统科学 2025-09-04 Hannes Petrenz , Johannes Köhler , Francesco Borrelli