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Deep learning is a powerful tool to represent subgrid processes in climate models, but many application cases have so far used idealized settings and deterministic approaches. Here, we develop stochastic parameterizations with calibrated…

Merging the two cultures of deep and statistical learning provides insights into structured high-dimensional data. Traditional statistical modeling is still a dominant strategy for structured tabular data. Deep learning can be viewed…

Methodology · Statistics 2021-10-25 Anindya Bhadra , Jyotishka Datta , Nick Polson , Vadim Sokolov , Jianeng Xu

Errors in the representation of clouds in convection-permitting numerical weather prediction models can be introduced by different sources. These can be the forcing and boundary conditions, the representation of orography, the accuracy of…

Atmospheric and Oceanic Physics · Physics 2022-03-14 Stefanie Legler , Tijana Janjic

Machine unlearning (MU) is to make a well-trained model behave as if it had never been trained on specific data. In today's over-parameterized models, dominated by neural networks, a common approach is to manually relabel data and fine-tune…

Machine Learning · Computer Science 2025-07-21 Ruikai Yang , Mingzhen He , Zhengbao He , Youmei Qiu , Xiaolin Huang

Machine learning (ML) is redefining what is possible in data-intensive fields of science and engineering. However, applying ML to problems in the physical sciences comes with a unique set of challenges: scientists want physically…

Computational Physics · Physics 2020-07-06 Kathleen Champion , Peng Zheng , Aleksandr Y. Aravkin , Steven L. Brunton , J. Nathan Kutz

In recent years, model-agnostic meta-learning (MAML) has become a popular research area. However, the stochastic optimization of MAML is still underdeveloped. Existing MAML algorithms rely on the ``episode'' idea by sampling a few tasks and…

Machine Learning · Computer Science 2023-04-26 Bokun Wang , Zhuoning Yuan , Yiming Ying , Tianbao Yang

Synthesis of advanced inorganic materials with minimum number of trials is of paramount importance towards the acceleration of inorganic materials development. The enormous complexity involved in existing multi-variable synthesis methods…

Materials Science · Physics 2020-11-02 Bijun Tang , Yuhao Lu , Jiadong Zhou , Han Wang , Prafful Golani , Manzhang Xu , Quan Xu , Cuntai Guan , Zheng Liu

Obtaining accurate high-resolution representations of model outputs is essential to describe the system dynamics. In general, however, only spatially- and temporally-coarse observations of the system states are available. These observations…

Dynamical Systems · Mathematics 2022-11-08 Mohamad Abed El Rahman Hammoud , Olivier LeMaitre , Edriss S. Titi , Ibrahim Hoteit , Omar Knio

Complex phenomena are generally modeled with sophisticated simulators that, depending on their accuracy, can be very demanding in terms of computational resources and simulation time. Their time-consuming nature, together with a typically…

Differential machine learning (DML) is a recently proposed technique that uses samplewise state derivatives to regularize least square fits to learn conditional expectations of functionals of stochastic processes as functions of state…

Computational Finance · Quantitative Finance 2023-02-21 Arun Kumar Polala , Bernhard Hientzsch

Reinforcement learning (RL) algorithms can be divided into two classes: model-free algorithms, which are sample-inefficient, and model-based algorithms, which suffer from model bias. Dyna-style algorithms combine these two approaches by…

Machine Learning · Computer Science 2024-10-17 Yansong Li , Zeyu Dong , Ertai Luo , Yu Wu , Shuo Wu , Shuo Han

Manifold learning (ML) aims to seek low-dimensional embedding from high-dimensional data. The problem is challenging on real-world datasets, especially with under-sampling data, and we find that previous methods perform poorly in this case.…

Machine Learning · Computer Science 2022-07-27 Zelin Zang , Siyuan Li , Di Wu , Ge Wang , Lei Shang , Baigui Sun , Hao Li , Stan Z. Li

Performing Data Assimilation (DA) at a low cost is of prime concern in Earth system modeling, particularly at the time of big data where huge quantities of observations are available. Capitalizing on the ability of Neural Networks…

Machine Learning · Computer Science 2021-11-24 Mathis Peyron , Anthony Fillion , Selime Gürol , Victor Marchais , Serge Gratton , Pierre Boudier , Gael Goret

This paper presents an unsupervised multi-modal learning system that learns associative representation from two input modalities, or channels, such that input on one channel will correctly generate the associated response at the other and…

Neural and Evolutionary Computing · Computer Science 2014-01-14 Ti Wang , Daniel L. Silver

Dynamical systems that evolve continuously over time are ubiquitous throughout science and engineering. Machine learning (ML) provides data-driven approaches to model and predict the dynamics of such systems. A core issue with this approach…

Machine Learning · Computer Science 2023-11-23 Aditi S. Krishnapriyan , Alejandro F. Queiruga , N. Benjamin Erichson , Michael W. Mahoney

Atmospheric models used for weather and climate prediction are traditionally formulated in a deterministic manner. In other words, given a particular state of the resolved scale variables, the most likely forcing from the sub-grid scale…

Machine Learning · Computer Science 2024-02-16 Hannah M. Christensen , Salah Kouhen , Greta Miller , Raghul Parthipan

The vast advances in Machine Learning over the last ten years have been powered by the availability of suitably prepared data for training purposes. The future of ML-enabled enterprise hinges on data. As such, there is already a vibrant…

Databases · Computer Science 2021-06-02 Yifan Li , Xiaohui Yu , Nick Koudas

Model uncertainty quantification is an essential component of effective data assimilation. Model errors associated with sub-grid scale processes are often represented through stochastic parameterizations of the unresolved process. Many…

Methodology · Statistics 2021-04-13 Sahani Pathiraja , Peter Jan van Leeuwen

There is a growing interest in the learning-to-learn paradigm, also known as meta-learning, where models infer on new tasks using a few training examples. Recently, meta-learning based methods have been widely used in few-shot…

Machine Learning · Computer Science 2024-03-13 Anish Madan , Ranjitha Prasad

Trained ML models are commonly embedded in optimization problems. In many cases, this leads to large-scale NLPs that are difficult to solve to global optimality. While ML models frequently lead to large problems, they also exhibit…

Optimization and Control · Mathematics 2024-01-17 Artur M. Schweidtmann , Dominik Bongartz , Alexander Mitsos