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DevBench is a telemetry-driven benchmark designed to evaluate Large Language Models (LLMs) on realistic code completion tasks. It includes 1,800 evaluation instances across six programming languages and six task categories derived from real…

Over the past few years, equation discovery has gained popularity in different fields of science and engineering. However, existing equation discovery algorithms rely on the availability of noisy measurements of the state variables (i.e.,…

机器学习 · 统计学 2024-07-19 Calvin Alvares , Souvik Chakraborty

In many fields of application, dynamic processes that evolve through time are well described by systems of ordinary differential equations (ODEs). The analytical solution of the ODEs is often not available and different methods have been…

统计方法学 · 统计学 2017-07-19 Saverio Ranciati , Cinzia Viroli , Ernst Wit

Partial differential equations (PDEs) that fit scientific data can represent physical laws with explainable mechanisms for various mathematically-oriented subjects, such as physics and finance. The data-driven discovery of PDEs from…

机器学习 · 计算机科学 2023-05-29 Yingtao Luo , Qiang Liu , Yuntian Chen , Wenbo Hu , Tian Tian , Jun Zhu

Biological systems are non-linear, include unobserved variables and the physical principles that govern their dynamics are partly unknown. This makes the characterization of their behavior very challenging. Notably, their activity occurs on…

定量方法 · 定量生物学 2025-06-27 Andréa Ducos , Audrey Denizot , Thomas Guyet , Hugues Berry

Function-guided protein design is a crucial task with significant applications in drug discovery and enzyme engineering. However, the field lacks a unified and comprehensive evaluation framework. Current models are assessed using…

机器学习 · 计算机科学 2025-09-30 Jiahao Kuang , Nuowei Liu , Jie Wang , Changzhi Sun , Tao Ji , Yuanbin Wu

Learning time-dependent partial differential equations (PDEs) that govern evolutionary observations is one of the core challenges for data-driven inference in many fields. In this work, we propose to capture the essential dynamics of…

数值分析 · 数学 2021-09-07 Ricardo A. Delgadillo , Jingwei Hu , Haizhao Yang

Scientific equation discovery is a fundamental task in the history of scientific progress, enabling the derivation of laws governing natural phenomena. Recently, Large Language Models (LLMs) have gained interest for this task due to their…

计算与语言 · 计算机科学 2025-06-10 Parshin Shojaee , Ngoc-Hieu Nguyen , Kazem Meidani , Amir Barati Farimani , Khoa D Doan , Chandan K Reddy

Equation discovery is a fundamental learning task for uncovering the underlying dynamics of complex systems, with wide-ranging applications in areas such as brain connectivity analysis, climate modeling, gene regulation, and physical…

机器学习 · 计算机科学 2026-01-29 Jiaqiang Li , Jianbin Tan , Xueqin Wang

Harnessing data to discover the underlying governing laws or equations that describe the behavior of complex physical systems can significantly advance our modeling, simulation and understanding of such systems in various science and…

机器学习 · 计算机科学 2021-11-17 Zhao Chen , Yang Liu , Hao Sun

Sea ice plays a critical role in the global climate system and maritime operations, making timely and accurate classification essential. However, traditional manual methods are time-consuming, costly, and have inherent biases. Automating…

计算机视觉与模式识别 · 计算机科学 2025-03-25 Samira Alkaee Taleghan , Andrew P. Barrett , Walter N. Meier , Farnoush Banaei-Kashani

We introduce DeepMoD, a Deep learning based Model Discovery algorithm. DeepMoD discovers the partial differential equation underlying a spatio-temporal data set using sparse regression on a library of possible functions and their…

计算物理 · 物理学 2021-02-25 Gert-Jan Both , Subham Choudhury , Pierre Sens , Remy Kusters

Reasoning is an essential capacity for large language models (LLMs) to address complex tasks, where the identification of process errors is vital for improving this ability. Recently, process-level reward models (PRMs) were proposed to…

人工智能 · 计算机科学 2025-03-18 Zhaopan Xu , Pengfei Zhou , Jiaxin Ai , Wangbo Zhao , Kai Wang , Xiaojiang Peng , Wenqi Shao , Hongxun Yao , Kaipeng Zhang

Stochastic differential equations (SDEs) are established tools to model physical phenomena whose dynamics are affected by random noise. By estimating parameters of an SDE intrinsic randomness of a system around its drift can be identified…

统计计算 · 统计学 2012-05-03 Umberto Picchini , Susanne Ditlevsen

There has been an arising trend of adopting deep learning methods to study partial differential equations (PDEs). In this paper, we introduce a deep recurrent framework for solving time-dependent PDEs without generating large scale data…

数值分析 · 数学 2021-04-21 Cheng Chang , Liu Liu , Tieyong Zeng

Many processes in science and engineering can be described by partial differential equations (PDEs). Traditionally, PDEs are derived by considering first principles of physics to derive the relations between the involved physical quantities…

机器学习 · 统计学 2019-03-27 Jens Berg , Kaj Nyström

Deepfake detection automatically recognizes the manipulated medias through the analysis of the difference between manipulated and non-altered videos. It is natural to ask which are the top performers among the existing deepfake detection…

计算机视觉与模式识别 · 计算机科学 2024-03-14 Chenhao Lin , Jingyi Deng , Pengbin Hu , Chao Shen , Qian Wang , Qi Li

Natural language processing evaluation has made significant progress, largely driven by the proliferation of powerful large language mod-els (LLMs). New evaluation benchmarks are of increasing priority as the reasoning capabilities of LLMs…

计算与语言 · 计算机科学 2025-06-19 Joseph J. Peper , Wenzhao Qiu , Ali Payani , Lu Wang

Data-driven approaches, most prominently deep learning, have become powerful tools for prediction in many domains. A natural question to ask is whether data-driven methods could also be used to predict global weather patterns days in…

大气与海洋物理 · 物理学 2020-12-30 Stephan Rasp , Peter D. Dueben , Sebastian Scher , Jonathan A. Weyn , Soukayna Mouatadid , Nils Thuerey

Tandem mass spectrometry provides a high-throughput framework for identifying and quantifying proteins in complex biological samples. In computational proteomics, predicting peptide MS/MS spectra is a critical task, enabling downstream…

机器学习 · 计算机科学 2026-05-05 Zhiwen Yang , Pan Liu , Yifan Li , Yunhua Zhong , Jun Xia