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A time and space inhomogeneous Markov process is a Feller evolution process, if the corresponding evolution system on the continuous functions vanishing at infinity is strongly continuous. We discuss generators of such systems and show that…

Probability · Mathematics 2020-04-17 Björn Böttcher

Search-based procedural content generation (PCG) is a well-known method for level generation in games. Its key advantage is that it is generic and able to satisfy functional constraints. However, due to the heavy computational costs to run…

Artificial Intelligence · Computer Science 2022-08-26 Ahmed Khalifa , Michael Cerny Green , Julian Togelius

Many data-driven decision problems are formulated using a nominal distribution estimated from historical data, while performance is ultimately determined by a deployment distribution that may be shifted, context-dependent, partially…

Machine Learning · Computer Science 2026-04-07 Xiuyuan Cheng , Yunqin Zhu , Yao Xie

Graph generative modelling has become an essential task due to the wide range of applications in chemistry, biology, social networks, and knowledge representation. In this work, we propose a novel framework for generating graphs by adapting…

Machine Learning · Statistics 2026-02-04 Anthony Stephenson , Ian Gallagher , Christopher Nemeth

Reconstructing near-wall turbulence from wall-based measurements is a critical yet inherently ill-posed problem in wall-bounded flows, where limited sensing and spatially heterogeneous flow-wall coupling challenge deterministic estimation…

Fluid Dynamics · Physics 2025-04-22 Meet Hemant Parikh , Xiantao Fan , Jian-Xun Wang

We construct a family of self-similar Markov martingales with given marginal distributions. This construction uses the self-similarity and Markov property of a reference process to produce a family of Markov processes that possess the same…

Statistics Theory · Mathematics 2015-06-05 Jie Yen Fan , Kais Hamza , Fima Klebaner

Generative adversarial networks (GANs) are deep neural networks that allow us to sample from an arbitrary probability distribution without explicitly estimating the distribution. There is a generator that takes a latent vector as input and…

Machine Learning · Computer Science 2021-06-22 Alper Ahmetoğlu , Ethem Alpaydın

Counterfactual instances offer human-interpretable insight into the local behaviour of machine learning models. We propose a general framework to generate sparse, in-distribution counterfactual model explanations which match a desired…

Machine Learning · Computer Science 2021-01-26 Arnaud Van Looveren , Janis Klaise , Giovanni Vacanti , Oliver Cobb

We introduce the first generative model trained on the JetClass dataset. Our model generates jets at the constituent level, and it is a permutation-equivariant continuous normalizing flow (CNF) trained with the flow matching technique. It…

High Energy Physics - Phenomenology · Physics 2025-03-27 Joschka Birk , Erik Buhmann , Cedric Ewen , Gregor Kasieczka , David Shih

Score-based generative models have demonstrated significant practical success in data-generating tasks. The models establish a diffusion process that perturbs the ground truth data to Gaussian noise and then learn the reverse process to…

Machine Learning · Computer Science 2024-05-24 Ziqing Wen , Xiaoge Deng , Ping Luo , Tao Sun , Dongsheng Li

Generative design is an increasingly important tool in the industrial world. It allows the designers and engineers to easily explore vast ranges of design options, providing a cheaper and faster alternative to the trial and failure…

Machine Learning · Computer Science 2023-06-09 Fouad Oubari , Raphael Meunier , Rodrigue Décatoire , Mathilde Mougeot

Progress in generative modelling, especially generative adversarial networks, have made it possible to efficiently synthesize and alter media at scale. Malicious individuals now rely on these machine-generated media, or deepfakes, to…

Machine Learning · Computer Science 2021-03-05 Baiwu Zhang , Jin Peng Zhou , Ilia Shumailov , Nicolas Papernot

Materials discovery is fundamental to advance next-generation technologies as well as for sustainable and circular economy. Beyond computational screening, generative models are efficient at finding materials with desired properties, via…

Molecular structure generation is a fundamental problem that involves determining the 3D positions of molecules' constituents. It has crucial biological applications, such as molecular docking, protein folding, and molecular design. Recent…

Machine Learning · Computer Science 2025-08-27 Wenyin Zhou , Christopher Iliffe Sprague , Vsevolod Viliuga , Matteo Tadiello , Arne Elofsson , Hossein Azizpour

Generative models often treat continuous data and discrete events as separate processes, creating a gap in modeling complex systems where they interact synchronously. To bridge this gap, we introduce JointDiff, a novel diffusion framework…

Machine Learning · Computer Science 2026-01-30 Guillem Capellera , Luis Ferraz , Antonio Rubio , Alexandre Alahi , Antonio Agudo

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

We propose a new class of generative models that naturally handle data of varying dimensionality by jointly modeling the state and dimension of each datapoint. The generative process is formulated as a jump diffusion process that makes…

A Markov chain update scheme using a machine-learned flow-based generative model is proposed for Monte Carlo sampling in lattice field theories. The generative model may be optimized (trained) to produce samples from a distribution…

High Energy Physics - Lattice · Physics 2019-09-10 M. S. Albergo , G. Kanwar , P. E. Shanahan

Modern generative machine learning models demonstrate surprising ability to create realistic outputs far beyond their training data, such as photorealistic artwork, accurate protein structures, or conversational text. These successes…

Machine Learning · Computer Science 2024-01-17 William Gilpin

Generative art unlocks boundless creative possibilities, yet its full potential remains untapped due to the technical expertise required for advanced architectural concepts and computational workflows. To bridge this gap, we present…

Computer Vision and Pattern Recognition · Computer Science 2025-09-11 Duc-Hung Nguyen , Huu-Phuc Huynh , Minh-Triet Tran , Trung-Nghia Le