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Training large reasoning models (LRMs) with reinforcement learning in STEM domains is hindered by the scarcity of high-quality, diverse, and verifiable problem sets. Existing synthesis methods, such as Chain-of-Thought prompting, often…

Artificial Intelligence · Computer Science 2025-05-27 Xiong Jun Wu , Zhenduo Zhang , ZuJie Wen , Zhiqiang Zhang , Wang Ren , Lei Shi , Cai Chen , Deng Zhao , Qing Wang , Xudong Han , Chengfu Tang , Dingnan Jin , Qing Cui , Jun Zhou

Partial differential equations (PDEs) are fundamental to modeling physical systems, yet solving them remains a complex challenge. Traditional numerical solvers rely on expert knowledge to implement and are computationally expensive, while…

Machine Learning · Computer Science 2026-02-24 Shanda Li , Tanya Marwah , Junhong Shen , Weiwei Sun , Andrej Risteski , Yiming Yang , Ameet Talwalkar

Neural surrogate solvers of partial differential equations (PDEs) promise dramatic speedups over numerical methods, especially in scenarios requiring many solves. However, current accuracy-based evaluations do not fully consider two central…

Machine Learning · Computer Science 2026-05-18 Yijing Zhang , Nicholas Roberts , Tanya Marwah , Mikhail Khodak

Retrieval-Augmented Generation (RAG) systems are widely adopted in knowledge-intensive NLP tasks, but current evaluations often overlook the structural complexity and multi-step reasoning required in real-world scenarios. These benchmarks…

Computation and Language · Computer Science 2025-12-16 Jeongsoo Lee , Daeyong Kwon , Kyohoon Jin

Accurately solving partial differential equations (PDEs) is critical to understanding complex scientific and engineering phenomena, yet traditional numerical solvers are computationally expensive. Surrogate models offer a more efficient…

Machine Learning · Computer Science 2026-04-17 Yegon Kim , Hyunsu Kim , Gyeonghoon Ko , Juho Lee

Ever brighter light sources, fast parallel detectors, and advances in phase retrieval methods, have made ptychography a practical and popular imaging technique. Compared to previous techniques, ptychography provides superior robustness and…

Data Analysis, Statistics and Probability · Physics 2016-07-20 Stefano Marchesini , Hari Krishnan , Benedikt J. Daurer , David A. Shapiro , Talita Perciano , James A. Sethian , Filipe R. N. C. Maia

Recent AI advancements, such as OpenAI's new models, are transforming LLMs into LRMs (Large Reasoning Models) that perform reasoning during inference, taking extra time and compute for higher-quality outputs. We aim to uncover the…

Artificial Intelligence · Computer Science 2025-02-11 Guanghao Ye , Khiem Duc Pham , Xinzhi Zhang , Sivakanth Gopi , Baolin Peng , Beibin Li , Janardhan Kulkarni , Huseyin A. Inan

Large Language Models (LLMs) have gained popularity in recent years, driving up the demand for inference. LLM inference is composed of two phases with distinct characteristics: a compute-bound prefill phase followed by a memory-bound decode…

Hardware Architecture · Computer Science 2025-10-10 Hengrui Zhang , Pratyush Patel , August Ning , David Wentzlaff

Within recent years, considerable progress has been made regarding high-performance solvers for Partial Differential Equations (PDEs), yielding potential gains in efficiency compared to industry standard tools. However, the latter largely…

Numerical Analysis · Mathematics 2024-02-20 Patrick Zimbrod , Michael Fleck , Johannes Schilp

Large language models (LLMs) have significantly improved their reasoning capabilities; however, they still struggle with complex multi-step mathematical problem-solving due to error propagation, lack of self-correction, and limited…

Machine Learning · Computer Science 2025-03-10 Joykirat Singh , Tanmoy Chakraborty , Akshay Nambi

Large language models (LLMs) have achieved impressive results on multi-step mathematical reasoning, yet at the cost of high computational overhead. This challenge is particularly acute for test-time scaling methods such as parallel…

Machine Learning · Computer Science 2026-03-24 Yuanlin Chu , Bo Wang , Xiang Liu , Hong Chen , Aiwei Liu , Xuming Hu

PDE-to-solver code generation aims to automatically synthesize executable numerical solvers from partial differential equation (PDE) specifications. This task requires not only understanding the mathematical structure of PDEs, but also…

The pace of evolution of Large Language Models (LLMs) necessitates new approaches for rigorous and comprehensive evaluation. Traditional human annotation is increasingly impracticable due to the complexities and costs involved in generating…

Computation and Language · Computer Science 2025-02-21 Arkil Patel , Siva Reddy , Dzmitry Bahdanau

LLMs can solve program synthesis tasks but remain inefficient and unreliable on hard instances requiring large combinatorial search. Given a small set of reasoning traces, we use coding agents to compile them into reusable symbolic program…

Computation and Language · Computer Science 2026-05-08 Atharva Naik , Yash Mathur , Prakam , Carolyn Rose , David Mortensen

Solving partial differential equations (PDEs) has been a fundamental problem in computational science and of wide applications for both scientific and engineering research. Due to its universal approximation property, neural network is…

Machine Learning · Computer Science 2023-05-18 Tingxiong Xiao , Runzhao Yang , Yuxiao Cheng , Jinli Suo , Qionghai Dai

To enhance the efficiency, scalability, and cross-survey applicability of stellar parameter inference in large spectroscopic datasets, we present a modular, parallelized Python framework with automated error estimation, built on the LAMOST…

We present PDLP, a practical first-order method for linear programming (LP) that can solve to the high levels of accuracy that are expected in traditional LP applications. In addition, it can scale to very large problems because its core…

Optimization and Control · Mathematics 2022-01-10 David Applegate , Mateo Díaz , Oliver Hinder , Haihao Lu , Miles Lubin , Brendan O'Donoghue , Warren Schudy

The detection of sequential patterns in data is a basic functionality of modern data processing systems for complex event processing (CEP), OLAP, and retrieval-augmented generation (RAG). In practice, pattern matching is challenging, since…

Databases · Computer Science 2025-11-07 Cong Yu , Tuo Shi , Matthias Weidlich , Bo Zhao

Efficient and stable solution of partial differential equations (PDEs) is central to scientific and engineering applications, yet existing numerical solvers rely heavily on matrix based discretizations, while learning based methods require…

Machine Learning · Computer Science 2026-04-30 Yi Bing , Zheng Ran , Fu Jinyang , Liu Long , Peng Xiang

Time-dependent partial differential equations (PDEs) are ubiquitous in science and engineering. Recently, mostly due to the high computational cost of traditional solution techniques, deep neural network based surrogates have gained…

Machine Learning · Computer Science 2023-10-24 Phillip Lippe , Bastiaan S. Veeling , Paris Perdikaris , Richard E. Turner , Johannes Brandstetter
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