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Scientists have long aimed to discover meaningful formulae which accurately describe experimental data. A common approach is to manually create mathematical models of natural phenomena using domain knowledge, and then fit these models to…

Synthetic data generation overcomes limitations of real-world machine learning. Traditional methods are valuable for augmenting costly datasets but only optimize one criterion: realism. In this paper, we tackle the problem of generating…

Machine Learning · Computer Science 2021-11-16 Chance N DeSmet , Diane J Cook

A large part of modern machine learning theory often involves computing the high-dimensional expected trace of a rational expression of large rectangular random matrices. To symbolically compute such quantities using free probability…

Machine Learning · Computer Science 2025-04-16 Arjun Subramonian , Elvis Dohmatob

While current AI-driven methods excel at deriving empirical models from individual experiments, a significant challenge remains in uncovering the common fundamental physics that underlie these models -- a task at which human physicists are…

Artificial Intelligence · Computer Science 2025-12-12 You-Le Fang , Dong-Shan Jian , Xiang Li , Yan-Qing Ma

The field of hypothesis generation promises to reduce costs in neuroscience by narrowing the range of interventional studies needed to study various phenomena. Existing machine learning methods can generate scientific hypotheses from…

Machine Learning · Computer Science 2025-07-04 Zachary C. Brown , David Carlson

Artificial intelligence (AI), machine learning, and deep learning (DL) methods are becoming increasingly important in the field of biomedical image analysis. However, to exploit the full potential of such methods, a representative number of…

In various subjects, there exist compact and consistent relationships between input and output parameters. Discovering the relationships, or namely compact laws, in a data set is of great interest in many fields, such as physics, chemistry,…

Machine Learning · Computer Science 2017-06-19 Wenqing Xu , Mark Stalzer

Synthetic data is often positioned as a solution to replace sensitive fixed-size datasets with a source of unlimited matching data, freed from privacy concerns. There has been much progress in synthetic data generation over the last decade,…

Machine Learning · Computer Science 2025-06-09 Graham Cormode , Samuel Maddock , Enayat Ullah , Shripad Gade

Probabilistic relational models provide a well-established formalism to combine first-order logic and probabilistic models, thereby allowing to represent relationships between objects in a relational domain. At the same time, the field of…

Artificial Intelligence · Computer Science 2024-10-03 Malte Luttermann , Ralf Möller , Mattis Hartwig

Most common mechanistic models are traditionally presented in mathematical forms to explain a given physical phenomenon. Machine learning algorithms, on the other hand, provide a mechanism to map the input data to output without explicitly…

Machine Learning · Computer Science 2020-12-22 Waad Subber , Piyush Pandita , Sayan Ghosh , Genghis Khan , Liping Wang , Roger Ghanem

Synthetic training data has gained prominence in numerous learning tasks and scenarios, offering advantages such as dataset augmentation, generalization evaluation, and privacy preservation. Despite these benefits, the efficiency of…

Machine Learning · Computer Science 2024-03-21 Jianhao Yuan , Jie Zhang , Shuyang Sun , Philip Torr , Bo Zhao

This paper proposes a new method to generate synthetic data sets based on copula models. Our goal is to produce surrogate data resembling real data in terms of marginal and joint distributions. We present a complete and reliable algorithm…

Machine Learning · Computer Science 2022-04-01 Regis Houssou , Mihai-Cezar Augustin , Efstratios Rappos , Vivien Bonvin , Stephan Robert-Nicoud

Generating synthetic data through generative models is gaining interest in the ML community and beyond. In the past, synthetic data was often regarded as a means to private data release, but a surge of recent papers explore how its…

Machine Learning · Computer Science 2023-04-10 Boris van Breugel , Mihaela van der Schaar

We introduce the Unity Perception package which aims to simplify and accelerate the process of generating synthetic datasets for computer vision tasks by offering an easy-to-use and highly customizable toolset. This open-source package…

Machine learning can uncover physical concepts or physical equations when prior knowledge from the other is available. However, these two aspects are often intertwined and cannot be discovered independently. We extend SciNet, which is a…

Machine Learning · Computer Science 2025-04-24 Bao-Bing Li , Yi Gu , Shao-Feng Wu

The study of complex many-body systems via analysis of the trajectories of the units that dynamically move and interact within them is a non-trivial task. The workflow for extracting meaningful information from the raw trajectory data is…

Materials Science · Physics 2025-10-31 Simone Martino , Matteo Becchi , Andrew Tarzia , Daniele Rapetti , Giovanni M. Pavan

Despite successful seminal works on passive systems in the literature, learning free-form physical laws for controlled dynamical systems given experimental data is still an open problem. For decades, symbolic mathematical equations and…

Machine Learning · Computer Science 2021-06-01 Carlos Magno C. O. Valle , Sami Haddadin

The finding that very large networks can be trained efficiently and reliably has led to a paradigm shift in computer vision from engineered solutions to learning formulations. As a result, the research challenge shifts from devising…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Nikolaus Mayer , Eddy Ilg , Philipp Fischer , Caner Hazirbas , Daniel Cremers , Alexey Dosovitskiy , Thomas Brox

So far proposed quantum computers use fragile and environmentally sensitive natural quantum systems. Here we explore the new notion that synthetic quantum systems suitable for quantum computation may be fabricated from smart nanostructures…

General Physics · Physics 2009-11-07 Reginald T. Cahill

Synthetic data generation creates data based on real-world data using generative models. In health applications, generating high-quality data while maintaining fairness for sensitive attributes is essential for equitable outcomes. Existing…

Machine Learning · Computer Science 2025-06-25 Nitish Nagesh , Ziyu Wang , Amir M. Rahmani
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