English
Related papers

Related papers: Fractal Generative Models

200 papers

Generative models of 3D molecular structure play a rapidly growing role in the design and simulation of molecules. Diffusion models currently dominate the space of 3D molecule generation, while autoregressive models have trailed behind. In…

Machine Learning · Computer Science 2025-09-10 Austin H. Cheng , Chong Sun , Alán Aspuru-Guzik

We present a conditional generative model to learn variation in cell and nuclear morphology and the location of subcellular structures from microscopy images. Our model generalizes to a wide range of subcellular localization and allows for…

Machine Learning · Statistics 2017-05-02 Gregory R. Johnson , Rory M. Donovan-Maiye , Mary M. Maleckar

Analysis and modeling of networked objects are fundamental pieces of modern data mining. Most real-world networks, from biological to social ones, are known to have common structural properties. These properties allow us to model the growth…

Data Structures and Algorithms · Computer Science 2016-09-27 Takuya Akiba , Kenko Nakamura , Taro Takaguchi

Generative models in molecular design tend to be richly parameterized, data-hungry neural models, as they must create complex structured objects as outputs. Estimating such models from data may be challenging due to the lack of sufficient…

Machine Learning · Computer Science 2021-08-17 Kevin Yang , Wengong Jin , Kyle Swanson , Regina Barzilay , Tommi Jaakkola

Generative models have become significant assets in the exploration and identification of new materials, enabling the rapid proposal of candidate crystal structures that satisfy target properties. Despite the increasing adoption of diverse…

Machine Learning · Computer Science 2025-10-21 Charles Rhys Campbell , Aldo H. Romero , Kamal Choudhary

Graph structures offer a versatile framework for representing diverse patterns in nature and complex systems, applicable across domains like molecular chemistry, social networks, and transportation systems. While diffusion models have…

Machine Learning · Computer Science 2024-06-10 Adrien Carrel

Several families of continual learning techniques have been proposed to alleviate catastrophic interference in deep neural network training on non-stationary data. However, a comprehensive comparison and analysis of limitations remains…

Machine Learning · Computer Science 2021-12-14 Timm Hess , Martin Mundt , Iuliia Pliushch , Visvanathan Ramesh

Deep generative models have shown great promise when it comes to synthesising novel images. While they can generate images that look convincing on a higher-level, generating fine-grained details is still a challenge. In order to foster…

Computer Vision and Pattern Recognition · Computer Science 2019-01-15 Andrin Jenal , Nikolay Savinov , Torsten Sattler , Gaurav Chaurasia

The recent advances in text and image synthesis show a great promise for the future of generative models in creative fields. However, a less explored area is the one of 3D model generation, with a lot of potential applications to game…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Antoine Schnepf , Flavian Vasile , Ugo Tanielian

Customization techniques for text-to-image models have paved the way for a wide range of previously unattainable applications, enabling the generation of specific concepts across diverse contexts and styles. While existing methods…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Ryan Po , Guandao Yang , Kfir Aberman , Gordon Wetzstein

Foundation models refer to artificial intelligence (AI) models that are trained on massive amounts of data and demonstrate broad generalizability across various tasks with high accuracy. These models offer versatile, one-for-many or…

Image and Video Processing · Electrical Eng. & Systems 2024-11-06 Rina Bao , Erfan Darzi , Sheng He , Chuan-Heng Hsiao , Mohammad Arafat Hussain , Jingpeng Li , Atle Bjornerud , Ellen Grant , Yangming Ou

We propose a method for constructing generative models of 3D objects from a single 3D mesh and improving them through unsupervised low-shot learning from 2D images. Our method produces a 3D morphable model that represents shape and albedo…

Computer Vision and Pattern Recognition · Computer Science 2022-03-08 Skylar Sutherland , Bernhard Egger , Joshua Tenenbaum

Recent data-efficient molecular generation approaches exploit graph grammars to introduce interpretability into the generative models. However, grammar learning therein relies on expert annotation or unreliable heuristics for algorithmic…

Artificial Intelligence · Computer Science 2025-05-30 Michael Sun , Weize Yuan , Gang Liu , Wojciech Matusik , Jie Chen

Fractional differential equations provide a tractable mathematical framework to describe anomalous behavior in complex physical systems, yet they introduce new sensitive model parameters, i.e. derivative orders, in addition to model…

Numerical Analysis · Mathematics 2018-06-05 Ehsan Kharazmi , Mohsen Zayernouri

Fractals are defined as geometric shapes that exhibit symmetry of scale. This simply implies that fractal is a shape that it would still look the same even if somebody could zoom in on one of its parts an infinite number of times. This…

Space Physics · Physics 2015-05-29 Ioannis Haranas , Ioannis Gkigkitzis , Athanasios Alexiou

Determining atomistic structures from characterization data is one of the most common yet intricate problems in materials science. Particularly in amorphous materials, proposing structures that balance realism and agreement with experiments…

Disordered Systems and Neural Networks · Physics 2026-03-25 Jiawei Guo , Daniel Schwalbe-Koda

Fractal geometry deals mainly with irregularity and captures the complexity of a structure or phenomenon. In this article, we focus on the approximation of set-valued functions using modern machinery on the subject of fractal geometry. We…

Functional Analysis · Mathematics 2025-09-23 Parneet Kaur , Rattan Lal , Ankit Kumar , Saurabh Verma

We present a general theory of fractal transformations and show how it leads to a new type of method for filtering and transforming digital images. This work substantially generalizes earlier work on fractal tops. The approach involves…

Geometric Topology · Mathematics 2011-02-17 Michael F. Barnsley , Brendan Harding , Konstantin Igudesman

Neural networks have become an increasingly popular tool for solving many real-world problems. They are a general framework for differentiable optimization which includes many other machine learning approaches as special cases. In this…

Machine Learning · Computer Science 2019-07-22 Bruno Gavranović

Recent advances in deep learning have enabled the generation of realistic data by training generative models on large datasets of text, images, and audio. While these models have demonstrated exceptional performance in generating novel and…

Materials Science · Physics 2024-06-17 Izumi Takahara , Kiyou Shibata , Teruyasu Mizoguchi