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Related papers: Generative Learning With Euler Particle Transport

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We present Generative Monte Carlo (GMC), a novel paradigm for particle transport simulation that integrates generative artificial intelligence directly into the stochastic solution of the linear Boltzmann equation. By reformulating the…

Computational Physics · Physics 2025-12-17 Joseph A. Farmer , Aidan Murray , Johannes Krotz , Ryan G. McClarren

Incrementally training deep neural networks to recognize new classes is a challenging problem. Most existing class-incremental learning methods store data or use generative replay, both of which have drawbacks, while 'rehearsal-free'…

Machine Learning · Computer Science 2023-11-10 Gido M. van de Ven , Zhe Li , Andreas S. Tolias

We study the estimation of optimal transport (OT) maps between an arbitrary source probability measure and a log-concave target probability measure. Our contributions are twofold. First, we propose a new evolution equation in the set of…

Optimization and Control · Mathematics 2026-04-13 Théo Dumont , Théo Lacombe , François-Xavier Vialard

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 tracking method based on the extreme learning machine (ELM) is efficient and effective. ELM randomly generates input weights and biases in the hidden layer, and then calculates and computes the output weights by reducing the iterative…

Machine Learning · Computer Science 2018-07-27 Jing Zhang , Huibing Wang , Yonggong Ren

Trajectory generation has recently drawn growing interest in privacy-preserving urban mobility studies and location-based service applications. Although many studies have used deep learning or generative AI methods to model trajectories and…

Machine Learning · Computer Science 2026-03-25 Yuanbo Tang , Yan Tang , Zixuan Zhang , Zihui Zhao , Yang Li

We present a numerical method to solve the optimal transport problem with a quadratic cost when the source and target measures are periodic probability densities. This method is based on a numerical resolution of the corresponding…

Numerical Analysis · Mathematics 2011-03-02 Louis-Philippe Saumier , Martial Agueh , Boualem Khouider

Though generative adversarial networks (GANs) areprominent models to generate realistic and crisp images,they often encounter the mode collapse problems and arehard to train, which comes from approximating the intrinsicdiscontinuous…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Dongsheng An , Yang Guo , Min Zhang , Xin Qi , Na Lei , Shing-Tung Yau , Xianfeng Gu

In this work, we optimize the 3D trajectory of an unmanned aerial vehicle (UAV)-based portable access point (PAP) that provides wireless services to a set of ground nodes (GNs). Moreover, as per the Peukert effect, we consider pragmatic…

Signal Processing · Electrical Eng. & Systems 2022-08-11 Nithin Babu , Igor Donevski , Alvaro Valcarce , Petar Popovski , Jimmy Jessen Nielsen , Constantinos B. Papadias

Ensemble learning is a statistical paradigm built on the premise that many weak learners can perform exceptionally well when deployed collectively. The BART method of Chipman et al. (2010) is a prominent example of Bayesian ensemble…

Machine Learning · Statistics 2018-10-08 Veronika Rockova , Enakshi Saha

We investigate the use of entropy-regularized optimal transport (EOT) cost in developing generative models to learn implicit distributions. Two generative models are proposed. One uses EOT cost directly in an one-shot optimization problem…

Machine Learning · Computer Science 2019-08-01 Dong Liu , Minh Thành Vu , Saikat Chatterjee , Lars K. Rasmussen

The shape of a molecule determines its physicochemical and biological properties. However, it is often underrepresented in standard molecular representation learning approaches. Here, we propose using the Euler Characteristic Transform…

Machine Learning · Computer Science 2025-07-08 Victor Toscano-Duran , Florian Rottach , Bastian Rieck

Parameter-efficient fine-tuning (PEFT) has emerged as an effective method for adapting pre-trained language models to various tasks efficiently. Recently, there has been a growing interest in transferring knowledge from one or multiple…

Computation and Language · Computer Science 2024-06-07 Zhisheng Lin , Han Fu , Chenghao Liu , Zhuo Li , Jianling Sun

MetaDL Challenge 2020 focused on image classification tasks in few-shot settings. This paper describes second best submission in the competition. Our meta learning approach modifies the distribution of classes in a latent space produced by…

Machine Learning · Computer Science 2021-02-12 Tomáš Chobola , Daniel Vašata , Pavel Kordík

In many real-world problems, there is a limited set of training data, but an abundance of unlabeled data. We propose a new method, Generative Posterior Networks (GPNs), that uses unlabeled data to estimate epistemic uncertainty in…

Machine Learning · Computer Science 2024-01-01 Melrose Roderick , Felix Berkenkamp , Fatemeh Sheikholeslami , Zico Kolter

We consider amortized Bayesian inference for nonlinear inverse problems in settings where only samples from the joint distribution of parameters and observations are available. Classical methods such as Markov chain Monte Carlo require…

Numerical Analysis · Mathematics 2026-05-19 Hojjat Kaveh , Ricardo Baptista , Andrew M. Stuart

We propose a machine-learning-based (ML-based) method for efficiently predicting atomic diffusivity in crystals, in which the potential energy surface (PES) of a diffusion carrier is partially evaluated by first-principles calculations. To…

Materials Science · Physics 2020-06-24 Kazuaki Toyoura , Takeo Fujii , Kenta Kanamori , Ichiro Takeuchi

In this work, we propose the Generative Latent Flow (GLF), an algorithm for generative modeling of the data distribution. GLF uses an Auto-encoder (AE) to learn latent representations of the data, and a normalizing flow to map the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Zhisheng Xiao , Qing Yan , Yali Amit

This paper studies the fundamental problem of learning energy-based model (EBM) in the latent space of the generator model. Learning such prior model typically requires running costly Markov Chain Monte Carlo (MCMC). Instead, we propose to…

Machine Learning · Computer Science 2022-09-20 Zhisheng Xiao , Tian Han

Probabilistic models with hierarchical-latent-variable structures provide state-of-the-art results amongst non-autoregressive, unsupervised density-based models. However, the most common approach to training such models based on Variational…

Machine Learning · Statistics 2020-10-09 Benoit Gaujac , Ilya Feige , David Barber