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We present a detailed comparison between two adaptive numerical approaches to solve partial differential equations (PDEs), adaptive multiresolution (MR) and adaptive mesh refinement (AMR). Both discretizations are based on finite volumes in…

Numerical Analysis · Mathematics 2016-03-17 Ralf Deiterding , Margarete O. Domingues , Sonia M. Gomes , Kai Schneider

Reinforcement finetuning (RFT) has shown great potential for enhancing the mathematical reasoning capabilities of large language models (LLMs), but it is often sample- and compute-inefficient, requiring extensive training. In this work, we…

Machine Learning · Computer Science 2026-02-03 Taiwei Shi , Yiyang Wu , Linxin Song , Tianyi Zhou , Jieyu Zhao

To balance the quality and inference cost of a Foundation Model (FM, such as large language models (LLMs)) powered software, people often opt to train a routing model that routes requests to FMs with different sizes and capabilities.…

Machine Learning · Computer Science 2025-06-03 Kirill Vasilevski , Dayi Lin , Ahmed E. Hassan

In recent work we have shown how an accurate reduced model can be utilized to perform mesh refinement in random space. That work relied on the explicit knowledge of an accurate reduced model which is used to monitor the transfer of activity…

Numerical Analysis · Mathematics 2016-09-21 Jing Li , Panos Stinis

Reward Machines (RMs) are an established mechanism in Reinforcement Learning (RL) to represent and learn sparse, temporally extended tasks with non-Markovian rewards. RMs rely on high-level information in the form of labels that are emitted…

Machine Learning · Computer Science 2026-03-04 Thomas Krug , Daniel Neider

Today's scientific simulations require a significant reduction of data volume because of extremely large amounts of data they produce and the limited I/O bandwidth and storage space. Error-bounded lossy compression has been considered one…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-09 Daoce Wang , Jesus Pulido , Pascal Grosset , Sian Jin , Jiannan Tian , James Ahrens , Dingwen Tao

To backpropagate the gradients through stochastic binary layers, we propose the augment-REINFORCE-merge (ARM) estimator that is unbiased, exhibits low variance, and has low computational complexity. Exploiting variable augmentation,…

Machine Learning · Statistics 2019-09-11 Mingzhang Yin , Mingyuan Zhou

In this paper, we study the cooperative Multi-Agent Reinforcement Learning (MARL) problems using Reward Machines (RMs) to specify the reward functions such that the prior knowledge of high-level events in a task can be leveraged to…

Artificial Intelligence · Computer Science 2024-03-13 Xuejing Zheng , Chao Yu

In recent years, Cross-Modal Hashing (CMH) has aroused much attention due to its fast query speed and efficient storage. Previous literatures have achieved promising results for Cross-Modal Retrieval (CMR) by discovering discriminative hash…

Multimedia · Computer Science 2023-10-06 Kaiyi Luo , Chao Zhang , Huaxiong Li , Xiuyi Jia , Chunlin Chen

Benefiting from the vigorous development of deep learning, many CNN-based image super-resolution methods have emerged and achieved better results than traditional algorithms. However, it is difficult for most algorithms to adaptively adjust…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Yuxi Cai , Huicheng Lai , Zhenghong Jia

We present here the result of continuation work, performed to further fulfill the vision we outlined in [Harel,Lekien,P\'eba\"y-2017] for the visualization and analysis of tree-based adaptive mesh refinement (AMR) simulations, using the…

Graphics · Computer Science 2017-03-02 Guénolé Harel , Jacques-Bernard Lekien , Philippe P. Pébaÿ

Adaptive Mesh Refinement (AMR) is becoming a prevalent data representation for scientific visualization. Resulting from large fluid mechanics simulations, the data is usually cell centric, imposing a number of challenges for high quality…

Graphics · Computer Science 2023-12-05 Stefan Zellmann , Qi Wu , Alper Sahistan , Kwan-Liu Ma , Ingo Wald

State-of-the-art language models can exhibit impressive reasoning refinement capabilities on math, science or coding tasks. However, recent work demonstrates that even the best models struggle to identify \textit{when and where to refine}…

Computation and Language · Computer Science 2024-06-26 Alex Havrilla , Sharath Raparthy , Christoforus Nalmpantis , Jane Dwivedi-Yu , Maksym Zhuravinskyi , Eric Hambro , Roberta Raileanu

The increasing demand for larger and higher fidelity simulations has made Adaptive Mesh Refinement (AMR) and unstructured mesh techniques essential to focus compute effort and memory cost on just the areas of interest in the simulation…

Graphics · Computer Science 2025-01-23 Xuan Huang , Will Usher , Valerio Pascucci

Automatic machine learning (\AML) is a family of techniques to automate the process of training predictive models, aiming to both improve performance and make machine learning more accessible. While many recent works have focused on aspects…

Machine Learning · Computer Science 2020-03-24 Nadiia Chepurko , Ryan Marcus , Emanuel Zgraggen , Raul Castro Fernandez , Tim Kraska , David Karger

Sampling algorithms drive probabilistic machine learning, and recent years have seen an explosion in the diversity of tools for this task. However, the increasing sophistication of sampling algorithms is correlated with an increase in the…

Computation · Statistics 2025-07-02 Congye Wang , Matthew A. Fisher , Heishiro Kanagawa , Wilson Chen , Chris. J. Oates

The escalating scale of Large Language Models (LLMs) necessitates efficient adaptation techniques. Model merging has gained prominence for its efficiency and controllability. However, existing merging techniques typically serve as post-hoc…

Reinforcement learning (RL) provides a naturalistic framing for learning through trial and error, which is appealing both because of its simplicity and effectiveness and because of its resemblance to how humans and animals acquire skills…

Machine Learning · Computer Science 2022-08-09 Archit Sharma , Kelvin Xu , Nikhil Sardana , Abhishek Gupta , Karol Hausman , Sergey Levine , Chelsea Finn

As supercomputers advance towards exascale capabilities, computational intensity increases significantly, and the volume of data requiring storage and transmission experiences exponential growth. Adaptive Mesh Refinement (AMR) has emerged…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-20 Daoce Wang , Jesus Pulido , Pascal Grosset , Jiannan Tian , Sian Jin , Houjun Tang , Jean Sexton , Sheng Di , Zarija Lukić , Kai Zhao , Bo Fang , Franck Cappello , James Ahrens , Dingwen Tao

Large Language Models (LLMs) excel across diverse domains but suffer from high energy costs due to quadratic attention and dense Feed-Forward Network (FFN) operations. To address these issues, we propose Module-aware Architecture Refinement…

Artificial Intelligence · Computer Science 2026-04-23 Junhong Cai , Guiqin Wang , Kejie Zhao , Jianxiong Tang , Xiang Wang , Luziwei Leng , Ran Cheng , Yuxin Ma , Qinghai Guo
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