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This paper examines the application of adaptive mesh refinement (AMR) in the field of numerical weather prediction (NWP). We implement and assess two distinct AMR approaches and evaluate their performance through standard NWP benchmarks. In…

Numerical Analysis · Mathematics 2024-04-26 Daniel S. Abdi , Ann Almgren , Francis X. Giraldo , Isidora Jankov

Memory mechanism is a core component of LLM-based agents, enabling reasoning and knowledge discovery over long-horizon contexts. Existing agent memory systems are typically designed within isolated paradigms (e.g., explicit, parametric, or…

Artificial Intelligence · Computer Science 2026-02-10 Xin Zhang , Kailai Yang , Chenyue Li , Hao Li , Qiyu Wei , Jun'ichi Tsujii , Sophia Ananiadou

The performance of large language models (LLMs) across diverse downstream applications is fundamentally governed by the quality and composition of their pretraining corpora. Existing domain reweighting algorithms primarily optimize data…

Machine Learning · Computer Science 2025-05-28 Simin Fan , Maria Ios Glarou , Martin Jaggi

Multi-agent navigation in dynamic environments is of great industrial value when deploying a large scale fleet of robot to real-world applications. This paper proposes a decentralized partially observable multi-agent path planning with…

Robotics · Computer Science 2020-08-03 Zuxin Liu , Baiming Chen , Hongyi Zhou , Guru Koushik , Martial Hebert , Ding Zhao

Reasoning ability has become a defining capability of Large Language Models (LLMs), with Reinforcement Learning with Verifiable Rewards (RLVR) emerging as a key paradigm to enhance it. However, RLVR training often suffers from policy…

Machine Learning · Computer Science 2026-04-20 Xiaoyun Zhang , Xiaojian Yuan , Di Huang , Wang You , Chen Hu , Jingqing Ruan , Ai Jian , Kejiang Chen , Xing Hu

Federated learning is a promising paradigm that allows multiple clients to collaboratively train a model without sharing the local data. However, the presence of heterogeneous devices in federated learning, such as mobile phones and IoT…

Machine Learning · Computer Science 2025-09-03 Kai Zhang , Yutong Dai , Hongyi Wang , Eric Xing , Xun Chen , Lichao Sun

A new higher-order accurate method is proposed that combines the advantages of the classical $p$-version of the FEM on body-fitted meshes with embedded domain methods. A background mesh composed by higher-order Lagrange elements is used.…

Numerical Analysis · Computer Science 2016-04-04 Samir Omerović , Thomas-Peter Fries

We analyze an adaptive boundary element method for the weakly-singular and hypersingular integral equations for the 2D and 3D Helmholtz problem. The proposed adaptive algorithm is steered by a residual error estimator and does not rely on…

Numerical Analysis · Mathematics 2019-03-21 Alex Bespalov , Timo Betcke , Alexander Haberl , Dirk Praetorius

We show that an optimal finite element mesh refinement algorithm for a prototypical elliptic PDE can be learned by a recurrent neural network with a fixed number of trainable parameters independent of the desired accuracy and the input…

Numerical Analysis · Mathematics 2020-08-10 Jan Bohn , Michael Feischl

Robust reinforcement learning (RL) under the average-reward criterion is essential for long-term decision-making, particularly when the environment may differ from its specification. However, a significant gap exists in understanding the…

Machine Learning · Computer Science 2025-09-26 Zachary Roch , Chi Zhang , George Atia , Yue Wang

Recent studies integrate Low-Rank Adaptation (LoRA) and Mixture-of-Experts (MoE) to further enhance the performance of parameter-efficient fine-tuning (PEFT) methods in Large Language Model (LLM) applications. Existing methods employ…

Computation and Language · Computer Science 2026-01-21 Jie Cao , Tianwei Lin , Bo Yuan , Rolan Yan , Hongyang He , Wenqiao Zhang , Juncheng Li , Dongping Zhang , Siliang Tang , Yueting Zhuang

Large Multimodal Models (LMMs) excel at comprehending human instructions and demonstrate remarkable results across a broad spectrum of tasks. Reinforcement Learning from Human Feedback (RLHF) and AI Feedback (RLAIF) further refine LLMs by…

Artificial Intelligence · Computer Science 2024-10-07 Ju-Seung Byun , Jiyun Chun , Jihyung Kil , Andrew Perrault

Metamaterial mechanisms are micro-architectured compliant structures that operate through the elastic deformation of specially designed flexible members. This study develops an efficient design methodology for compliant mechanisms using…

Machine Learning · Computer Science 2024-08-09 Yejun Choi , Yeoneung Kim , Keun Park

The success of large language models has garnered widespread attention for model merging techniques, especially training-free methods which combine model capabilities within the parameter space. However, two challenges remain: (1) uniform…

Artificial Intelligence · Computer Science 2025-03-28 Jiaqi Han , Jingwen Ye , Shunyu Liu , Haofei Zhang , Jie Song , Zunlei Feng , Mingli Song

Class imbalance is a widespread challenge in NLP tasks, significantly hindering robust performance across diverse domains and applications. We introduce Hardness-Aware Meta-Resample (HAMR), a unified framework that adaptively addresses both…

Computation and Language · Computer Science 2026-04-22 Hanshu Rao , Guangzeng Han , Xiaolei Huang

Many important problems in science and engineering require solving the so-called parametric partial differential equations (PDEs), i.e., PDEs with different physical parameters, boundary conditions, shapes of computation domains, etc.…

Machine Learning · Computer Science 2022-11-22 Xiang Huang , Zhanhong Ye , Hongsheng Liu , Beiji Shi , Zidong Wang , Kang Yang , Yang Li , Bingya Weng , Min Wang , Haotian Chu , Fan Yu , Bei Hua , Lei Chen , Bin Dong

In this paper, we present a finite element method (FEM) framework enhanced by an operator-adapted wavelet decomposition algorithm designed for the efficient analysis of multiscale electromagnetic problems. Usual adaptive FEM approaches,…

Computational Physics · Physics 2026-02-18 F. Şık , F. L. Teixeira , B. Shanker

Adaptive meshing is a fundamental component of adaptive finite element methods. This includes refining and coarsening meshes locally. In this work, we are concerned with the red-green-blue refinement strategy in two dimensions and its…

Numerical Analysis · Mathematics 2020-10-13 Stefan A. Funken , Anja Schmidt

Advanced transition elements are of utmost importance in many applications of the finite element method (FEM) where a local mesh refinement is required. Considering problems that exhibit singularities in the solution, an adaptive…

Numerical Analysis · Mathematics 2023-09-29 Sascha Duczek , Albert Artha Saputra , Hauke Gravenkamp

Federated Learning (FL) enables distributed clients to collaboratively train models without exposing their private data. However, it is difficult to implement efficient FL due to limited resources. Most existing works compress the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-05 Jiaming Yan , Jianchun Liu , Shilong Wang , Hongli Xu , Haifeng Liu , Jianhua Zhou