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How can we build surrogate solvers that train on small domains but scale to larger ones without intrusive access to PDE operators? Inspired by the Data-Driven Finite Element Method (DD-FEM) framework for modular data-driven solvers, we…

Dynamical Systems · Mathematics 2026-01-06 Seung Whan Chung , Youngsoo Choi , Christopher Miller , H. Keo Springer , Kyle T. Sullivan

Deep Gaussian processes (DGPs) are increasingly popular as predictive models in machine learning (ML) for their non-stationary flexibility and ability to cope with abrupt regime changes in training data. Here we explore DGPs as surrogates…

Methodology · Statistics 2021-08-27 Annie Sauer , Robert B. Gramacy , David Higdon

We introduce a new version of deep state-space models (DSSMs) that combines a recurrent neural network with a state-space framework to forecast time series data. The model estimates the observed series as functions of latent variables that…

Machine Learning · Statistics 2022-05-20 Haoxuan Wu , David S. Matteson , Martin T. Wells

Causal effect estimation for dynamic treatment regimes (DTRs) contributes to sequential decision making. However, censoring and time-dependent confounding under DTRs are challenging as the amount of observational data declines over time due…

Machine Learning · Statistics 2021-09-27 Adi Lin , Jie Lu , Junyu Xuan , Fujin Zhu , Guangquan Zhang

Deep neural network ensembles hold the potential of improving generalization performance for complex learning tasks. This paper presents formal analysis and empirical evaluation to show that heterogeneous deep ensembles with high ensemble…

Computer Vision and Pattern Recognition · Computer Science 2023-10-04 Yanzhao Wu , Ka-Ho Chow , Wenqi Wei , Ling Liu

Diffusion language models (DLMs) have recently emerged as a promising alternative to autoregressive models, primarily due to their ability to enable parallel decoding. Despite this advantage, most existing DLMs rely on a fixed generation…

Machine Learning · Computer Science 2026-05-12 Bian Sun , Kevin Zhai , Mubarak Shah , Zhenyi Wang

Causal learning from data has received much attention recently. Bayesian networks can be used to capture causal relationships. There, one recovers a weighted directed acyclic graph in which random variables are represented by vertices, and…

Machine Learning · Computer Science 2026-01-06 Pavel Rytir , Ales Wodecki , Georgios Korpas , Jakub Marecek

Structural equation models comprise a large class of popular statistical models, including factor analysis models, certain mixed models, and extensions thereof. Model estimation is complicated by the fact that we typically have multiple…

Computation · Statistics 2022-03-18 Edgar C. Merkle , Ellen Fitzsimmons , James Uanhoro , Ben Goodrich

Continual Learning is a learning paradigm where learning systems are trained with sequential or streaming tasks. Two notable directions among the recent advances in continual learning with neural networks are ($i$) variational Bayes based…

Machine Learning · Computer Science 2020-02-24 Abhishek Kumar , Sunabha Chatterjee , Piyush Rai

Extracting previously unknown patterns and information in time series is central to many real-world applications. In this study, we introduce a novel approach to modeling financial time series using a deep learning model. We use a Long…

Statistical Finance · Quantitative Finance 2020-07-15 Jungsik Hwang

The purpose of this paper is to provide a discussion, with illustrating examples, on Bayesian forecasting for dynamic generalized linear models (DGLMs). Adopting approximate Bayesian analysis, based on conjugate forms and on Bayes linear…

Methodology · Statistics 2008-02-05 K. Triantafyllopoulos

Sentence-level classification and sequential labeling are two fundamental tasks in language understanding. While these two tasks are usually modeled separately, in reality, they are often correlated, for example in intent classification and…

Computation and Language · Computer Science 2017-10-02 Mingbo Ma , Kai Zhao , Liang Huang , Bing Xiang , Bowen Zhou

We propose a deep generative Markov State Model (DeepGenMSM) learning framework for inference of metastable dynamical systems and prediction of trajectories. After unsupervised training on time series data, the model contains (i) a…

Machine Learning · Statistics 2019-01-14 Hao Wu , Andreas Mardt , Luca Pasquali , Frank Noe

The goal of this paper is to make a strong point for the usage of dynamical models when using reinforcement learning (RL) for feedback control of dynamical systems governed by partial differential equations (PDEs). To breach the gap between…

Machine Learning · Computer Science 2023-03-14 Stefan Werner , Sebastian Peitz

Although with progress in introducing auxiliary amortized inference models, learning discrete latent variable models is still challenging. In this paper, we show that the annoying difficulty of obtaining reliable stochastic gradients for…

Machine Learning · Statistics 2020-05-29 Zhijian Ou , Yunfu Song

Traditional categorical data, often collected in psychological tests and educational assessments, are typically single-layer and gathered only once.This paper considers a more general case, multi-layer categorical data with polytomous…

Machine Learning · Statistics 2024-08-13 Huan Qing

Dynamic state representation learning is an important task in robot learning. Latent space that can capture dynamics related information has wide application in areas such as accelerating model free reinforcement learning, closing the…

Robotics · Computer Science 2022-07-27 Sirui Chen , Yunhao Liu , Jialong Li , Shang Wen Yao , Tingxiang Fan , Jia Pan

Planning is a powerful approach to control problems with known environment dynamics. In unknown environments the agent needs to learn a model of the system dynamics to make planning applicable. This is particularly challenging when the…

Machine Learning · Computer Science 2020-05-11 Nathanael Bosch , Jan Achterhold , Laura Leal-Taixé , Jörg Stückler

Longitudinal interaction studies with Socially Assistive Robots are crucial to ensure that the robot is relevant for long-term use and its perceptions are not prone to the novelty effect. In this paper, we present a dynamic Bayesian network…

Human-Computer Interaction · Computer Science 2024-10-28 Indu P. Bodala , Hatice Gunes

Data-driven soft sensors (DDSS) have become mainstream methods for predicting key performance indicators in process industries. However, DDSS development requires complex and costly customized designs tailored to various tasks during the…

Artificial Intelligence · Computer Science 2025-01-10 Shuo Tong , Han Liu , Runyuan Guo , Xueqiong Tian , Wenqing Wang , Ding Liu , Youmin Zhang