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Graph convolutional networks adapt the architecture of convolutional neural networks to learn rich representations of data supported on arbitrary graphs by replacing the convolution operations of convolutional neural networks with…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Addison Bohannon , Brian Sadler , Radu Balan

In this paper, we study an under-explored but important factor of diffusion generative models, i.e., the combinatorial complexity. Data samples are generally high-dimensional, and for various structured generation tasks, additional…

Machine Learning · Computer Science 2026-04-30 Rui Xu , Jiepeng Wang , Hao Pan , Yang Liu , Xin Tong , Shiqing Xin , Changhe Tu , Taku Komura , Wenping Wang

Generative models that can model and predict sequences of future events can, in principle, learn to capture complex real-world phenomena, such as physical interactions. However, a central challenge in video prediction is that the future is…

Computer Vision and Pattern Recognition · Computer Science 2020-02-13 Manoj Kumar , Mohammad Babaeizadeh , Dumitru Erhan , Chelsea Finn , Sergey Levine , Laurent Dinh , Durk Kingma

We introduce ImitationFlow, a novel Deep generative model that allows learning complex globally stable, stochastic, nonlinear dynamics. Our approach extends the Normalizing Flows framework to learn stable Stochastic Differential Equations.…

Machine Learning · Computer Science 2020-10-27 Julen Urain , Michelle Ginesi , Davide Tateo , Jan Peters

Learning to sample from intractable distributions over discrete sets without relying on corresponding training data is a central problem in a wide range of fields, including Combinatorial Optimization. Currently, popular deep learning-based…

Machine Learning · Computer Science 2025-08-25 Sebastian Sanokowski , Sepp Hochreiter , Sebastian Lehner

We propose a data-driven method to learn the time-dependent probability density of a multivariate stochastic process from sample paths, assuming that the initial probability density is known and can be evaluated. Our method uses a novel…

Machine Learning · Statistics 2025-06-19 Agnimitra Dasgupta , Javier Murgoitio-Esandi , Ali Fardisi , Assad A Oberai

We introduce temporal multimodal multivariate learning, a new family of decision making models that can indirectly learn and transfer online information from simultaneous observations of a probability distribution with more than one peak or…

In this paper, we propose a new and unified approach for nonparametric regression and conditional distribution learning. Our approach simultaneously estimates a regression function and a conditional generator using a generative learning…

Machine Learning · Statistics 2023-06-28 Shanshan Song , Tong Wang , Guohao Shen , Yuanyuan Lin , Jian Huang

We study the problem of training neural stochastic differential equations, or diffusion models, to sample from a Boltzmann distribution without access to target samples. Existing methods for training such models enforce time-reversal of the…

Machine Learning · Computer Science 2026-02-05 Julius Berner , Lorenz Richter , Marcin Sendera , Jarrid Rector-Brooks , Nikolay Malkin

In this work, we propose to apply the recently developed Koopman operator techniques to explore the global phase space of a nonlinear system from time-series data. In particular, we address the problem of identifying various invariant…

Dynamical Systems · Mathematics 2019-10-09 Sai Pushpak Nandanoori , Subhrajit Sinha , Enoch Yeung

Stochastic processes offer a flexible mathematical formalism to model and reason about systems. Most analysis tools, however, start from the premises that models are fully specified, so that any parameters controlling the system's dynamics…

Systems and Control · Computer Science 2017-01-11 Luca Bortolussi , Guido Sanguinetti

Learning an energy-based model from data samples is a central problem in machine learning. Many recent and popular methods, such as denoising score matching for training energy-based diffusion models, use stochastic interpolants to corrupt…

Machine Learning · Computer Science 2026-05-27 Hanlin Yu , RuiKang OuYang , Partha Kaushik , Arto Klami , Michael U. Gutmann , Omar Chehab

Multi-task learning requires accurate identification of the correlations between tasks. In real-world time-series, tasks are rarely perfectly temporally aligned; traditional multi-task models do not account for this and subsequent errors in…

Neural language models are a powerful tool to embed words into semantic vector spaces. However, learning such models generally relies on the availability of abundant and diverse training examples. In highly specialised domains this…

Computation and Language · Computer Science 2015-12-04 Stephanie L. Hyland , Theofanis Karaletsos , Gunnar Rätsch

Meta-learning is a promising strategy for learning to efficiently learn within new tasks, using data gathered from a distribution of tasks. However, the meta-learning literature thus far has focused on the task segmented setting, where at…

Machine Learning · Computer Science 2020-10-22 James Harrison , Apoorva Sharma , Chelsea Finn , Marco Pavone

This work considers stochastic operators in general inner-product spaces, and in particular, systems with stochastically time-varying input delays of a known probability distribution. Stochastic dissipativity and stability are defined from…

Optimization and Control · Mathematics 2024-04-22 Ethan LoCicero , Amy Strong , Leila Bridgeman

Transport-based methods have emerged as a leading paradigm for building generative models from large, clean datasets. However, in many scientific and engineering domains, clean data are often unavailable: instead, we only observe…

Machine Learning · Computer Science 2026-05-14 Chirag Modi , Jiequn Han , Eric Vanden-Eijnden , Joan Bruna

Temporal point processes offer a powerful framework for sampling from discrete distributions, yet they remain underutilized in existing literature. We show how to construct, for any target multivariate count distribution with…

Computation · Statistics 2026-05-19 Cameron A. Stewart , Maneesh Sahani

We consider data fusion for the purpose of smoothing and interpolation based on observation records with missing data. Stochastic processes are generated by linear stochastic models. The paper begins by drawing a connection between time…

Optimization and Control · Mathematics 2015-08-19 Tryphon T. Georgiou , Anders Lindquist

This study introduces a surrogate modeling framework merging proper orthogonal decomposition, long short-term memory networks, and multi-task learning, to accurately predict elastoplastic deformations in real-time. Superior to single-task…

Computational Engineering, Finance, and Science · Computer Science 2024-11-11 Ruben Schmeitz , Joris Remmers , Olga Mula , Olaf van der Sluis
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