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Generative modeling seeks to uncover the underlying factors that give rise to observed data that can often be modeled as the natural symmetries that manifest themselves through invariances and equivariances to certain transformation laws.…

Machine Learning · Computer Science 2022-08-16 Avishek Joey Bose , Marcus Brubaker , Ivan Kobyzev

Accurate and efficient fluid flow models are essential for applications relating to many physical phenomena including geophysical, aerodynamic, and biological systems. While these flows may exhibit rich and multiscale dynamics, in many…

Fluid Dynamics · Physics 2024-08-27 Benjamin D. Shaffer , Jeremy R. Vorenberg , M. Ani Hsieh

Transfer learning research attempts to make model induction transferable across different domains. This method assumes that specific information regarding to which domain each instance belongs is known. This paper helps to extend the…

Machine Learning · Computer Science 2025-06-04 Xinshun Liu , He Xin , Mao Hui , Liu Jing , Lai Weizhong , Ye Qingwen

Generative flow networks (GFlowNets) are a family of algorithms that learn a generative policy to sample discrete objects $x$ with non-negative reward $R(x)$. Learning objectives guarantee the GFlowNet samples $x$ from the target…

Machine Learning · Computer Science 2023-05-15 Max W. Shen , Emmanuel Bengio , Ehsan Hajiramezanali , Andreas Loukas , Kyunghyun Cho , Tommaso Biancalani

The incorporation of region regularization into max-flow segmentation has traditionally focused on ordering and part-whole relationships. A side effect of the development of such models is that it constrained regularization only to those…

Computer Vision and Pattern Recognition · Computer Science 2014-06-09 John S. H. Baxter , Martin Rajchl , Jing Yuan , Terry M. Peters

Computational fluid dynamics models based on Reynolds-averaged Navier--Stokes equations with turbulence closures still play important roles in engineering design and analysis. However, the development of turbulence models has been stagnant…

Fluid Dynamics · Physics 2019-10-04 Heng Xiao , Jin-Long Wu , Sylvain Laizet , Lian Duan

Finding semantic correspondences is a challenging problem. With the breakthrough of CNNs stronger features are available for tasks like classification but not specifically for the requirements of semantic matching. In the following we…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Nikolai Ufer , Kam To Lui , Katja Schwarz , Paul Warkentin , Björn Ommer

State-of-the-art image segmentation algorithms generally consist of at least two successive and distinct computations: a boundary detection process that uses local image information to classify image locations as boundaries between objects,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Michał Januszewski , Jeremy Maitin-Shepard , Peter Li , Jörgen Kornfeld , Winfried Denk , Viren Jain

We study the problem of assigning operations in a dataflow graph to devices to minimize execution time in a work-conserving system, with emphasis on complex machine learning workloads. Prior learning-based methods often struggle due to…

Machine Learning · Computer Science 2025-05-30 Xinyu Yao , Daniel Bourgeois , Abhinav Jain , Yuxin Tang , Jiawen Yao , Zhimin Ding , Arlei Silva , Chris Jermaine

Sampling a probability distribution with an unknown normalization constant is a fundamental problem in computational science and engineering. This task may be cast as an optimization problem over all probability measures, and an initial…

Machine Learning · Statistics 2024-09-12 Yifan Chen , Daniel Zhengyu Huang , Jiaoyang Huang , Sebastian Reich , Andrew M. Stuart

There has been much research on network flows over time due to their important role in real world applications. This has led to many results, but the more challenging continuous time model still lacks some of the key concepts and techniques…

Systems and Control · Computer Science 2014-01-24 Ebrahim Nasrabadi , Ronald Koch

From the sandpoint of neural network dynamics we consider dynamical system of special type pesesses gradient (symmetric) and Hamiltonian (antisymmetric) flows. The conditions when Hamiltonian flow properties are dominant in the system are…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. K. Prykarpatsky , V. V. Gafiychuk

Semi-supervised and unsupervised machine learning methods often rely on graphs to model data, prompting research on how theoretical properties of operators on graphs are leveraged in learning problems. While most of the existing literature…

Analysis of PDEs · Mathematics 2021-01-12 Amber Yuan , Jeff Calder , Braxton Osting

As data-driven methods are deployed in real-world settings, the processes that generate the observed data will often react to the decisions of the learner. For example, a data source may have some incentive for the algorithm to provide a…

Machine Learning · Computer Science 2023-04-26 Roy Dong , Heling Zhang , Lillian J. Ratliff

We develop a novel policy synthesis algorithm, RMPflow, based on geometrically consistent transformations of Riemannian Motion Policies (RMPs). RMPs are a class of reactive motion policies designed to parameterize non-Euclidean behaviors as…

Robotics · Computer Science 2019-04-09 Ching-An Cheng , Mustafa Mukadam , Jan Issac , Stan Birchfield , Dieter Fox , Byron Boots , Nathan Ratliff

We introduce and prove basic results about several graph-theoretic notions relevant to the multiresolution analysis of flow graphs that represent the transfer of control in computer programs. We take a category-theoretical viewpoint to…

Combinatorics · Mathematics 2019-06-28 Steve Huntsman

Evolving data streams induce joint nonstationarity in continual semantic segmentation, where semantic classes, input distributions, and supervision availability change simultaneously over time. This setting reflects practical structured…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Prashant Pandey , Himanshu Kumar , Devineni Sri Venkatraya Chowdary , Brejesh Lall

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

The paper presents a dynamic solution method for dynamic minimum parametric networks flow. The solution method solves the problem for a special parametric dynamic network with linear lower bound functions of a single parameter. Instead…

Discrete Mathematics · Computer Science 2015-09-15 Mircea Parpalea , Nicoleta Avesalon , Eleonor Ciurea

This proposed work introduces a data-assimilation-assisted approach to train neural networks, aimed at effectively reducing epistemic uncertainty in state estimates of separated flows. This method, referred to as model-consistent training,…

Fluid Dynamics · Physics 2024-08-02 Minghan Chu
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