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Reliable uncertainty quantification is critical in multivariate time series forecasting problems arising in domains such as energy systems and transportation networks, among many others. Although Transformer-based architectures have…

Machine Learning · Computer Science 2026-03-13 Rajdeep Pathak , Rahul Goswami , Madhurima Panja , Palash Ghosh , Tanujit Chakraborty

The present paper aims to demonstrate the usage of Convolutional Neural Networks as a generative model for stochastic processes, enabling researchers from a wide range of fields (such as quantitative finance and physics) to develop a…

Machine Learning · Statistics 2018-01-12 Fernando Fernandes Neto

Understanding the temporal dynamics of Earth's surface is a mission of multi-temporal remote sensing image analysis, significantly promoted by deep vision models with its fuel -- labeled multi-temporal images. However, collecting,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Zhuo Zheng , Shiqi Tian , Ailong Ma , Liangpei Zhang , Yanfei Zhong

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

Understanding user intent is essential for situational and context-aware decision-making. Motivated by a real-world scenario, this work addresses intent predictions of smart device users in the vicinity of vehicles by modeling sequential…

These lecture notes introduce the statistical analysis of continuous-time generative models built from Markov dynamics. We begin with the stochastic-calculus foundations of score-based diffusion models, including time reversal, score…

Statistics Theory · Mathematics 2026-04-27 Eddie Aamari , Arthur Stéphanovitch

Generative AI has made remarkable progress in addressing various design challenges. One prominent area where generative AI could bring significant value is in engineering design. In particular, selecting an optimal set of components and…

Artificial Intelligence · Computer Science 2025-01-27 Yasaman Etesam , Hyunmin Cheong , Mohammadmehdi Ataei , Pradeep Kumar Jayaraman

Deep generative models provide a systematic way to learn nonlinear data distributions, through a set of latent variables and a nonlinear "generator" function that maps latent points into the input space. The nonlinearity of the generator…

Machine Learning · Statistics 2021-12-14 Georgios Arvanitidis , Lars Kai Hansen , Søren Hauberg

We introduce SynFormer, a generative modeling framework designed to efficiently explore and navigate synthesizable chemical space. Unlike traditional molecular generation approaches, we generate synthetic pathways for molecules to ensure…

Machine Learning · Computer Science 2024-10-07 Wenhao Gao , Shitong Luo , Connor W. Coley

With the development of gene sequencing technology, an explosive growth of gene data has been witnessed. And the storage of gene data has become an important issue. Traditional gene data compression methods rely on general software like…

Machine Learning · Computer Science 2023-02-01 Zhanbei Cui , Yu Liao , Tongda Xu , Yan Wang

Many recent flow-matching and diffusion-style generative models rely on auxiliary stochastic dynamics during training: a richer process is simulated to define conditional targets, but the auxiliary state is either intractable to sample at…

Machine Learning · Computer Science 2026-05-21 Lukas Billera , Hedwig Nora Nordlinder , Ben Murrell

Generative Adversarial Networks (GANs) have shown immense potential in fields such as text and image generation. Only very recently attempts to exploit GANs to statistical-mechanics models have been reported. Here we quantitatively test…

Statistical Mechanics · Physics 2024-05-07 Daniele Lanzoni , Olivier Pierre-Louis , Francesco Montalenti

Markov Population Models are a widespread formalism used to model the dynamics of complex systems, with applications in Systems Biology and many other fields. The associated Markov stochastic process in continuous time is often analyzed by…

Machine Learning · Computer Science 2021-06-25 Francesca Cairoli , Ginevra Carbone , Luca Bortolussi

Seismic wave generation creates labeled waveform datasets for source parameter inversion, subsurface analysis, and, notably, training artificial intelligence seismology models. Traditionally, seismic wave generation has been time-consuming,…

Geophysics · Physics 2025-09-23 Longfei Duan , Zicheng Zhang , Lianqing Zhou , Congying Han , Lei Bai , Tiande Guo , Cuiping Zhao

The goal of a generative model is to capture the distribution underlying the data, typically through latent variables. After training, these variables are often used as a new representation, more effective than the original features in a…

Machine Learning · Computer Science 2015-04-29 Maruan Al-Shedivat , Emre Neftci , Gert Cauwenberghs

Shortage of labeled seismic field data poses a significant challenge for deep-learning related applications in seismology. One approach to mitigate this issue is to use synthetic waveforms as a complement to field data. However, traditional…

Geophysics · Physics 2023-10-03 Guoyi Chen , Junlun Li , Hao Guo

Generating high quality texts with high diversity is important for many NLG applications, but current methods mostly focus on building deterministic models to generate higher quality texts and do not provide many options for promoting…

Computation and Language · Computer Science 2022-04-05 Wanyu Du , Jianqiao Zhao , Liwei Wang , Yangfeng Ji

Time series forecasting is crucial for many fields, such as disaster warning, weather prediction, and energy consumption. The Transformer-based models are considered to have revolutionized the field of sequence modeling. However, the…

Machine Learning · Computer Science 2022-11-01 Junlong Tong , Liping Xie , Wankou Yang , Kanjian Zhang

Long-range time series forecasting is usually based on one of two existing forecasting strategies: Direct Forecasting and Iterative Forecasting, where the former provides low bias, high variance forecasts and the latter leads to low…

Machine Learning · Computer Science 2022-12-14 Shiyu Liu , Rohan Ghosh , Mehul Motani

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

Machine Learning · Computer Science 2014-05-27 Yoshua Bengio , Éric Thibodeau-Laufer , Guillaume Alain , Jason Yosinski
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