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This paper introduces a mathematical framework of a stochastic process model as a generalization of diffusion stochastic processes to model latent variables in categorical responses given unobserved random effects and maximum likelihood…

Statistics Theory · Mathematics 2023-06-05 Mahdi Mollakazemiha

Generative Flow Networks (GFlowNets) have been introduced as a method to sample a diverse set of candidates in an active learning context, with a training objective that makes them approximately sample in proportion to a given reward…

Machine Learning · Computer Science 2026-01-27 Yoshua Bengio , Salem Lahlou , Tristan Deleu , Edward J. Hu , Mo Tiwari , Emmanuel Bengio

From medical diagnosis to autonomous vehicles, critical applications rely on the integration of multiple heterogeneous data modalities. Multimodal Variational Autoencoders offer versatile and scalable methods for generating unobserved…

Machine Learning · Computer Science 2025-02-07 Agathe Senellart , Stéphanie Allassonnière

Turbulent flows have historically presented formidable challenges to predictive computational modeling. Traditional numerical simulations often require vast computational resources, making them infeasible for numerous engineering…

Fluid Dynamics · Physics 2023-11-15 Han Gao , Xu Han , Xiantao Fan , Luning Sun , Li-Ping Liu , Lian Duan , Jian-Xun Wang

Deep neural networks achieve superior performance for learning from independent and identically distributed (i.i.d.) data. However, their performance deteriorates significantly when handling out-of-distribution (OoD) data, where the…

Machine Learning · Computer Science 2023-07-25 Haoyue Bai , Ceyuan Yang , Yinghao Xu , S. -H. Gary Chan , Bolei Zhou

We propose a recurrent neural network for a "model-free" simulation of a dynamical system with unknown parameters without prior knowledge. The deep learning model aims to jointly learn the nonlinear time marching operator and the effects of…

Machine Learning · Computer Science 2021-03-01 Kyongmin Yeo , Dylan E. C. Grullon , Fan-Keng Sun , Duane S. Boning , Jayant R. Kalagnanam

Data-driven medical AI is traditionally formulated as a discriminative mapping from input $X$ to output $Y$ via a learned function $f$, which does not generalize well across heterogeneous data and modalities encountered in real-world…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Hantao Zhang , Weidong Guo , Yuhe Liu , Jiancheng Yang , Sathvik Bhagavan , Danli Shi , Mingda Xu , Pascal Fua

Understanding how agents learn to generalize -- and, in particular, to extrapolate -- in high-dimensional, naturalistic environments remains a challenge for both machine learning and the study of biological agents. One approach to this has…

Machine Learning · Computer Science 2021-06-15 Simon N. Segert , Jonathan D. Cohen

Generative AI has achieved remarkable empirical success, but from the perspective of statistics it often remains opaque: its predictions may be accurate, yet the underlying mechanism is difficult to interpret, analyze, and trust. This book…

Machine Learning · Statistics 2026-03-11 Shinto Eguchi

In this paper, we present a new deep learning architecture for addressing the problem of supervised learning with sparse and irregularly sampled multivariate time series. The architecture is based on the use of a semi-parametric…

Machine Learning · Computer Science 2019-09-18 Satya Narayan Shukla , Benjamin M. Marlin

Sampling-based motion planning is the predominant paradigm in many real-world robotic applications, but its performance is immensely dependent on the quality of the samples. The majority of traditional planners are inefficient as they use…

Robotics · Computer Science 2020-10-23 Tin Lai , Fabio Ramos

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Stochastic acceptors or probabilistic automata are stochastic automata without output that can model components in machine learning…

Machine Learning · Computer Science 2018-12-27 Karl-Heinz Zimmermann

Graph neural networks are often used to model interacting dynamical systems since they gracefully scale to systems with a varying and high number of agents. While there has been much progress made for deterministic interacting systems,…

Machine Learning · Computer Science 2023-05-04 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters

Imitation learning methods have demonstrated considerable success in teaching autonomous systems complex tasks through expert demonstrations. However, a limitation of these methods is their lack of interpretability, particularly in…

Machine Learning · Computer Science 2025-07-21 Wenliang Liu , Danyang Li , Erfan Aasi , Daniela Rus , Roberto Tron , Calin Belta

Signal Temporal Logic (STL) offers verifiable task specifications and is crucial for safety-critical control. Yet STL planning remains challenging: exact optimization-based methods are often too slow, and learning-based methods struggle to…

Artificial Intelligence · Computer Science 2026-05-05 Bowen Ye , Ancheng Hou , Junyue Huang , Ruijia Liu , Xiang Yin

Complex systems are often characterized by the interplay of multiple interconnected dynamical processes operating across a range of temporal scales. This phenomenon is widespread in both biological and artificial scenarios, making it…

Statistical Mechanics · Physics 2025-09-08 Giorgio Nicoletti , Daniel M. Busiello

Deep learning-based multivariate and multistep-ahead traffic forecasting models are typically trained with the mean squared error (MSE) or mean absolute error (MAE) as the loss function in a sequence-to-sequence setting, simply assuming…

Machine Learning · Computer Science 2026-01-28 Seongjin Choi , Nicolas Saunier , Vincent Zhihao Zheng , Martin Trepanier , Lijun Sun

Stochastic processes generated by non-stationary distributions are difficult to represent with conventional models such as Gaussian processes. This work presents Recurrent Autoregressive Flows as a method toward general stochastic process…

Machine Learning · Computer Science 2020-06-20 John Mern , Peter Morales , Mykel J. Kochenderfer

In this paper, we present a receding-horizon, sampling-based planner capable of reasoning over multimodal policy distributions. By using the cross-entropy method to optimize a multimodal policy under a common cost function, our approach…

Robotics · Computer Science 2025-09-24 Mark Gonzales , Ethan Oh , Joseph Moore

Deterministic flow models, such as rectified flows, offer a general framework for learning a deterministic transport map between two distributions, realized as the vector field for an ordinary differential equation (ODE). However, they are…

Machine Learning · Computer Science 2024-10-04 Saurabh Singh , Ian Fischer