Search Results for author: Danielle C. Maddix

Found 12 papers, 7 papers with code

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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