Search Results for author: Danielle C. Maddix

Found 20 papers, 8 papers with code

End-to-End Probabilistic Framework for Learning with Hard Constraints

no code implementations8 Jun 2025 Utkarsh Utkarsh, Danielle C. Maddix, Ruijun Ma, Michael W. Mahoney, Yuyang Wang

We present a general purpose probabilistic forecasting framework, ProbHardE2E, to learn systems that can incorporate operational/physical constraints as hard requirements.

Probabilistic Time Series Forecasting scoring rule +1

Hard Constraint Guided Flow Matching for Gradient-Free Generation of PDE Solutions

no code implementations2 Dec 2024 Chaoran Cheng, Boran Han, Danielle C. Maddix, Abdul Fatir Ansari, Andrew Stuart, Michael W. Mahoney, Yuyang Wang

Generative models that satisfy hard constraints are crucial in many scientific and engineering applications where physical laws or system requirements must be strictly respected.

AhmedML: High-Fidelity Computational Fluid Dynamics Dataset for Incompressible, Low-Speed Bluff Body Aerodynamics

no code implementations30 Jul 2024 Neil Ashton, Danielle C. Maddix, Samuel Gundry, Parisa M. Shabestari

The dataset contains simulation results that exhibit a broad set of fundamental flow physics such as geometry and pressure-induced flow separation as well as 3D vortical structures.

WindsorML: High-Fidelity Computational Fluid Dynamics Dataset For Automotive Aerodynamics

no code implementations27 Jul 2024 Neil Ashton, Jordan B. Angel, Aditya S. Ghate, Gaetan K. W. Kenway, Man Long Wong, Cetin Kiris, Astrid Walle, Danielle C. Maddix, Gary Page

This paper presents a new open-source high-fidelity dataset for Machine Learning (ML) containing 355 geometric variants of the Windsor body, to help the development and testing of ML surrogate models for external automotive aerodynamics.

Comparing and Contrasting Deep Learning Weather Prediction Backbones on Navier-Stokes and Atmospheric Dynamics

1 code implementation19 Jul 2024 Matthias Karlbauer, Danielle C. Maddix, Abdul Fatir Ansari, Boran Han, Gaurav Gupta, Yuyang Wang, Andrew Stuart, Michael W. Mahoney

Remarkable progress in the development of Deep Learning Weather Prediction (DLWP) models positions them to become competitive with traditional numerical weather prediction (NWP) models.

Graph Neural Network Weather Forecasting

Transferring Knowledge from Large Foundation Models to Small Downstream Models

no code implementations11 Jun 2024 Shikai Qiu, Boran Han, Danielle C. Maddix, Shuai Zhang, Yuyang Wang, Andrew Gordon Wilson

Furthermore, AFT reliably translates improvement in pre-trained models into improvement in downstream performance, even if the downstream model is over $50\times$ smaller, and can effectively transfer complementary information learned by multiple pre-trained models.

Transfer Learning

Using Uncertainty Quantification to Characterize and Improve Out-of-Domain Learning for PDEs

1 code implementation15 Mar 2024 S. Chandra Mouli, Danielle C. Maddix, Shima Alizadeh, Gaurav Gupta, Andrew Stuart, Michael W. Mahoney, Yuyang Wang

Existing work in scientific machine learning (SciML) has shown that data-driven learning of solution operators can provide a fast approximate alternative to classical numerical partial differential equation (PDE) solvers.

Uncertainty Quantification

Theoretical Guarantees of Learning Ensembling Strategies with Applications to Time Series Forecasting

no code implementations25 May 2023 Hilaf Hasson, Danielle C. Maddix, Yuyang Wang, Gaurav Gupta, Youngsuk Park

Ensembling is among the most popular tools in machine learning (ML) due to its effectiveness in minimizing variance and thus improving generalization.

Time Series Time Series Forecasting

Learning Physical Models that Can Respect Conservation Laws

1 code implementation21 Feb 2023 Derek Hansen, Danielle C. Maddix, Shima Alizadeh, Gaurav Gupta, Michael W. Mahoney

We provide a detailed analysis of ProbConserv on learning with the Generalized Porous Medium Equation (GPME), a widely-applicable parameterized family of PDEs that illustrates the qualitative properties of both easier and harder PDEs.

Uncertainty Quantification

First De-Trend then Attend: Rethinking Attention for Time-Series Forecasting

1 code implementation15 Dec 2022 Xiyuan Zhang, Xiaoyong Jin, Karthick Gopalswamy, Gaurav Gupta, Youngsuk Park, Xingjian Shi, Hao Wang, Danielle C. Maddix, Yuyang Wang

Transformer-based models have gained large popularity and demonstrated promising results in long-term time-series forecasting in recent years.

Time Series Time Series Forecasting

Guiding continuous operator learning through Physics-based boundary constraints

1 code implementation14 Dec 2022 Nadim Saad, Gaurav Gupta, Shima Alizadeh, Danielle C. Maddix

Numerical experiments based on multiple PDEs with a wide variety of applications indicate that the proposed approach ensures satisfaction of BCs, and leads to more accurate solutions over the entire domain.

Operator learning

GOPHER: Categorical probabilistic forecasting withgraph structure via local continuous-time dynamics

no code implementations NeurIPS Workshop ICBINB 2021 Ke Alexander Wang, Danielle C. Maddix, Bernie Wang

We consider the problem of probabilistic forecasting over categories with graph structure, where the dynamics at a vertex depends on its local connectivity structure.

Inductive Bias

Domain Adaptation for Time Series Forecasting via Attention Sharing

1 code implementation13 Feb 2021 Xiaoyong Jin, Youngsuk Park, Danielle C. Maddix, Hao Wang, Yuyang Wang

Recently, deep neural networks have gained increasing popularity in the field of time series forecasting.

Domain Adaptation Time Series +1

Deep Factors for Forecasting

no code implementations28 May 2019 Yuyang Wang, Alex Smola, Danielle C. Maddix, Jan Gasthaus, Dean Foster, Tim Januschowski

We provide both theoretical and empirical evidence for the soundness of our approach through a necessary and sufficient decomposition of exchangeable time series into a global and a local part.

Time Series Time Series Analysis

Deep Factors with Gaussian Processes for Forecasting

no code implementations30 Nov 2018 Danielle C. Maddix, Yuyang Wang, Alex Smola

A large collection of time series poses significant challenges for classical and neural forecasting approaches.

Gaussian Processes Time Series +1

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