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A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

The ability to accurately model random fields plays a critical role in science and engineering for problems involving uncertain, spatially-varying quantities such as heterogeneous material properties and turbulent flows. Deep generative…

We develop an approach to training generative models based on unrolling a variational auto-encoder into a Markov chain, and shaping the chain's trajectories using a technique inspired by recent work in Approximate Bayesian computation. We…

Machine Learning · Computer Science 2017-08-03 Philip Bachman , Doina Precup

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 2015-03-29 Guillaume Alain , Yoshua Bengio , Li Yao , Jason Yosinski , Eric Thibodeau-Laufer , Saizheng Zhang , Pascal Vincent

This thesis investigates unsupervised time series representation learning for sequence prediction problems, i.e. generating nice-looking input samples given a previous history, for high dimensional input sequences by decoupling the static…

Machine Learning · Computer Science 2018-04-19 Markus Beissinger

Although deep learning has achieved appealing results on several machine learning tasks, most of the models are deterministic at inference, limiting their application to single-modal settings. We propose a novel general-purpose framework…

Machine Learning · Computer Science 2020-10-12 Sameera Ramasinghe , Kanchana Ranasinghe , Salman Khan , Nick Barnes , Stephen Gould

Multivariate time series forecasting focuses on predicting future values based on historical context. State-of-the-art sequence-to-sequence models rely on neural attention between timesteps, which allows for temporal learning but fails to…

Machine Learning · Computer Science 2023-03-21 Jake Grigsby , Zhe Wang , Nam Nguyen , Yanjun Qi

A critical factor in trustworthy machine learning is to develop robust representations of the training data. Only under this guarantee methods are legitimate to artificially generate data, for example, to counteract imbalanced datasets or…

Machine Learning · Computer Science 2024-12-12 Leon Scharwächter , Sebastian Otte

Designing mechanical mechanisms to trace specific paths is a classic yet notoriously difficult engineering problem, characterized by a vast and complex search space of discrete topologies and continuous parameters. We introduce MechaFormer,…

Machine Learning · Computer Science 2025-08-13 Diana Bolanos , Mohammadmehdi Ataei , Pradeep Kumar Jayaraman

Diffusion-based generative models learn to iteratively transfer unstructured noise to a complex target distribution as opposed to Generative Adversarial Networks (GANs) or the decoder of Variational Autoencoders (VAEs) which produce samples…

Machine Learning · Computer Science 2022-10-26 Sarthak Mittal , Guillaume Lajoie , Stefan Bauer , Arash Mehrjou

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 later leads to low…

Machine Learning · Computer Science 2022-08-08 Shiyu Liu , Rohan Ghosh , Mehul Motani

Stochastic Process Model has many applications in analysis of longitudinal biodemographic data. Such data contain various physiological variables (sometimes known as covariates). It also can potentially contain genetic information available…

Populations and Evolution · Quantitative Biology 2016-05-31 Ilya Zhbannikov , Konstantin Arbeev , Anatoliy Yashin

Recent advances in generative artificial intelligence have enabled the creation of high-quality synthetic data that closely mimics real-world data. This paper explores the adaptation of the Stable Diffusion 2.0 model for generating…

Machine Learning · Computer Science 2024-05-07 Eugenio Lomurno , Matteo D'Oria , Matteo Matteucci

We introduce a novel generative smoothness regularization on manifolds (SToRM) model for the recovery of dynamic image data from highly undersampled measurements. The proposed generative framework represents the image time series as a…

Image and Video Processing · Electrical Eng. & Systems 2021-02-01 Qing Zou , Abdul Haseeb Ahmed , Prashant Nagpal , Stanley Kruger , Mathews Jacob

Stochastic processes have found numerous applications in science, as they are broadly used to model a variety of natural phenomena. Due to their intrinsic randomness and uncertainty, they are, however, difficult to characterize. Here, we…

Stochastic generators are useful for estimating climate impacts on various sectors. Projecting climate risk in various sectors, e.g. energy systems, requires generators that are accurate (statistical resemblance to ground-truth), reliable…

Machine Learning · Computer Science 2024-10-22 Emmanuel Balogun , Ram Rajagopal , Arun Majumdar

The simulation of geological facies in an unobservable volume is essential in various geoscience applications. Given the complexity of the problem, deep generative learning is a promising approach to overcome the limitations of traditional…

Geophysics · Physics 2024-03-05 Ferdinand Bhavsar , Nicolas Desassis , Fabien Ors , Thomas Romary

We present a numerical method to learn an accurate predictive model for an unknown stochastic dynamical system from its trajectory data. The method seeks to approximate the unknown flow map of the underlying system. It employs the idea of…

Machine Learning · Computer Science 2024-12-24 Zhongshu Xu , Yuan Chen , Qifan Chen , Dongbin Xiu

Producing large complex simulation datasets can often be a time and resource consuming task. Especially when these experiments are very expensive, it is becoming more reasonable to generate synthetic data for downstream tasks. Recently,…

Machine Learning · Computer Science 2025-08-28 Paimon Goulart , Shaan Pakala , Evangelos Papalexakis

This paper proposes a novel way of doing audio synthesis at the waveform level using Transformer architectures. We propose a deep neural network for generating waveforms, similar to wavenet. This is fully probabilistic, auto-regressive, and…

Sound · Computer Science 2021-07-09 Prateek Verma , Chris Chafe