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Equivariance is a nice property to have as it produces much more parameter efficient neural architectures and preserves the structure of the input through the feature mapping. Even though some combinations of transformations might never…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 David W. Romero , Mark Hoogendoorn

Diffusion and flow-based models have enabled significant progress in generation tasks across various modalities and have recently found applications in predictive learning. However, unlike typical generation tasks that encourage sample…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Yu Zhang , Xingzhuo Guo , Haoran Xu , Jialong Wu , Mingsheng Long

Generative modeling within constrained sets is essential for scientific and engineering applications involving physical, geometric, or safety requirements (e.g., molecular generation, robotics). We present a unified framework for…

Machine Learning · Computer Science 2026-04-21 Kijung Jeon , Michael Muehlebach , Molei Tao

We introduce the Convolutional Conditional Neural Process (ConvCNP), a new member of the Neural Process family that models translation equivariance in the data. Translation equivariance is an important inductive bias for many learning…

Euclidean deep learning is often inadequate for addressing real-world signals where the representation space is irregular and curved with complex topologies. Interpreting the geometric properties of such feature spaces has become paramount…

Computer Vision and Pattern Recognition · Computer Science 2024-09-12 Ramzan Basheer , Deepak Mishra

Crystal property prediction is a crucial aspect of developing novel materials. However, there are two technical challenges to be addressed for speeding up the investigation of crystals. First, labeling crystal properties is intrinsically…

Machine Learning · Computer Science 2023-06-12 Haomin Yu , Yanru Song , Jilin Hu , Chenjuan Guo , Bin Yang

Classical paradigms for distributed learning, such as federated or decentralized gradient descent, employ consensus mechanisms to enforce homogeneity among agents. While these strategies have proven effective in i.i.d. scenarios, they can…

Machine Learning · Computer Science 2023-04-18 Shreya Wadehra , Roula Nassif , Stefan Vlaski

We present CrystalDiT, a diffusion transformer for crystal structure generation that achieves state-of-the-art performance by challenging the trend of architectural complexity. Instead of intricate, multi-stream designs, CrystalDiT employs…

Machine Learning · Computer Science 2026-01-01 Xiaohan Yi , Guikun Xu , Xi Xiao , Zhong Zhang , Liu Liu , Yatao Bian , Peilin Zhao

The application of generative models in crystal structure prediction (CSP) has gained significant attention. Conditional generation--particularly the generation of crystal structures with specified stability or other physical properties has…

Materials Science · Physics 2026-01-14 Takanori Ishii , Kaoru Hisama , Kohei Shinohara

As a highly expressive generative model, diffusion models have demonstrated exceptional success across various domains, including image generation, natural language processing, and combinatorial optimization. However, as data distributions…

Machine Learning · Computer Science 2025-10-27 Myunsoo Kim , Donghyeon Ki , Seong-Woong Shim , Byung-Jun Lee

Crystal structure prediction remains a major challenge in materials science, directly impacting the discovery and development of next-generation materials. We introduce TCSP 2.0, a substantial evolution of our template-based crystal…

Materials Science · Physics 2025-04-01 Lai Wei , Rongzhi Dong , Nihang Fu , Sadman Sadeed Omee , Jianjun Hu

Embodied agents operate in a structured world, often solving tasks with spatial, temporal, and permutation symmetries. Most algorithms for planning and model-based reinforcement learning (MBRL) do not take this rich geometric structure into…

Machine Learning · Computer Science 2023-10-20 Johann Brehmer , Joey Bose , Pim de Haan , Taco Cohen

Equivariant networks are specifically designed to ensure consistent behavior with respect to a set of input transformations, leading to higher sample efficiency and more accurate and robust predictions. However, redesigning each component…

Machine Learning · Computer Science 2023-10-31 Arnab Kumar Mondal , Siba Smarak Panigrahi , Sékou-Oumar Kaba , Sai Rajeswar , Siamak Ravanbakhsh

We introduce a novel deep learning approach that harnesses the power of generative artificial intelligence to enhance the accuracy of contextual forecasting in sewerage systems. By developing a diffusion-based model that processes…

Machine Learning · Computer Science 2025-06-11 Nicholas A. Pearson , Francesca Cairoli , Luca Bortolussi , Davide Russo , Francesca Zanello

We present a novel, conditional generative probabilistic model of set-valued data with a tractable log density. This model is a continuous normalizing flow governed by permutation equivariant dynamics. These dynamics are driven by a…

In machine learning, it is commonly assumed that training and test data share the same population distribution. However, this assumption is often violated in practice because the sample selection bias may induce the distribution shift from…

Machine Learning · Computer Science 2020-06-09 Kun Kuang , Hengtao Zhang , Fei Wu , Yueting Zhuang , Aijun Zhang

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

We construct and evaluate group-equivariant neural networks for the prediction of the two-dimensional $Q$-tensor order parameter of nematic liquid crystals from synthetically generated microscopic textures. Seven architectures, equivariant…

Soft Condensed Matter · Physics 2026-05-28 Julia Navarro , Mark Wilkinson

One of the greatest challenges facing our society is the discovery of new innovative crystal materials with specific properties. Recently, the problem of generating crystal materials has received increasing attention, however, it remains…

Materials Science · Physics 2023-06-08 Astrid Klipfel , Yaël Frégier , Adlane Sayede , Zied Bouraoui

Denoising diffusion probabilistic models (DDPMs) are a recent family of generative models that achieve state-of-the-art results. In order to obtain class-conditional generation, it was suggested to guide the diffusion process by gradients…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Bahjat Kawar , Roy Ganz , Michael Elad
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