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One of the fundamental problems within the field of machine learning is dimensionality reduction. Dimensionality reduction methods make it possible to combat the so-called curse of dimensionality, visualize high-dimensional data and, in…

Machine Learning · Computer Science 2025-05-12 Sergio García-Heredia , Ángela Fernández , Carlos M. Alaíz

This paper introduces a novel deep neural network architecture for solving the inverse scattering problem in frequency domain with wide-band data, by directly approximating the inverse map, thus avoiding the expensive optimization loop of…

Numerical Analysis · Mathematics 2024-08-07 Borong Zhang , Leonardo Zepeda-Núñez , Qin Li

Symmetry learning has proven to be an effective approach for extracting the hidden structure of data, with the concept of equivariance relation playing the central role. However, most of the current studies are built on architectural theory…

Machine Learning · Statistics 2024-02-15 Masanori Koyama , Kenji Fukumizu , Kohei Hayashi , Takeru Miyato

Establishing correspondences between 3D shapes is a fundamental task in 3D Computer Vision, typically addressed by matching local descriptors. Recently, a few attempts at applying the deep learning paradigm to the task have shown promising…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Riccardo Spezialetti , Samuele Salti , Luigi Di Stefano

Drawing upon recent advances in language model alignment, we formulate offline Reinforcement Learning as a two-stage optimization problem: First pretraining expressive generative policies on reward-free behavior datasets, then fine-tuning…

Machine Learning · Computer Science 2024-10-31 Huayu Chen , Kaiwen Zheng , Hang Su , Jun Zhu

Imitation learning with diffusion models has advanced robotic control by capturing the multi-modal action distributions. However, existing methods typically treat observations only as high-level conditions to the denoising network, rather…

Artificial Intelligence · Computer Science 2026-02-05 Zhaoyang Liu , Mokai Pan , Zhongyi Wang , Kaizhen Zhu , Haotao Lu , Haipeng Zhang , Jingya Wang , Ye Shi

In many applications, we desire neural networks to exhibit invariance or equivariance to certain groups due to symmetries inherent in the data. Recently, frame-averaging methods emerged to be a unified framework for attaining symmetries…

Machine Learning · Computer Science 2024-11-05 George Ma , Yifei Wang , Derek Lim , Stefanie Jegelka , Yisen Wang

Diffusion models represent the state-of-the-art for solving inverse problems such as image restoration tasks. Diffusion-based inverse solvers incorporate a likelihood term to guide prior sampling, generating data consistent with the…

Machine Learning · Computer Science 2026-03-03 Bahareh Tolooshams , Aditi Chandrashekar , Rayhan Zirvi , Abbas Mammadov , Jiachen Yao , Chuwei Wang , Anima Anandkumar

Recently, 3D vision-based diffusion policies have shown strong capability in learning complex robotic manipulation skills. However, a common architectural mismatch exists in these models: a tiny yet efficient point-cloud encoder is often…

Robotics · Computer Science 2026-02-02 Jinhao Zhang , Zhexuan Zhou , Huizhe Li , Yichen Lai , Wenlong Xia , Haoming Song , Youmin Gong , Jie Mei

Extending the translation equivariance property of convolutional neural networks to larger symmetry groups has been shown to reduce sample complexity and enable more discriminative feature learning. Further, exploiting additional symmetries…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Lisa Weijler , Pedro Hermosilla

State-of-the-art deep learning systems often require large amounts of data and computation. For this reason, leveraging known or unknown structure of the data is paramount. Convolutional neural networks (CNNs) are successful examples of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Carlos Esteves

We introduce a novel diffusion-based spectral algorithm to tackle regression analysis on high-dimensional data, particularly data embedded within lower-dimensional manifolds. Traditional spectral algorithms often fall short in such…

Machine Learning · Statistics 2024-10-21 Weichun Xia , Jiaxin Jiang , Lei Shi

Recent advancements in image synthesis are fueled by the advent of large-scale diffusion models. Yet, integrating realistic object visualizations seamlessly into new or existing backgrounds without extensive training remains a challenge.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Phillip Mueller , Jannik Wiese , Ioan Craciun , Lars Mikelsons

Equivariant and invariant deep learning models have been developed to exploit intrinsic symmetries in data, demonstrating significant effectiveness in certain scenarios. However, these methods often suffer from limited representation…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Yulu Bai , Jiahong Fu , Qi Xie , Deyu Meng

Generative modeling has recently shown remarkable promise for visuomotor policy learning, enabling flexible and expressive control across diverse embodied AI tasks. However, existing generative policies often struggle with data…

Robotics · Computer Science 2025-12-16 Jianlei Chang , Ruofeng Mei , Wei Ke , Xiangyu Xu

Robotic manipulation in unstructured environments requires the generation of robust and long-horizon trajectory-level policy with conditions of perceptual observations and benefits from the advantages of SE(3)-equivariant diffusion models…

Robotics · Computer Science 2025-09-30 Zhitao Wang , Yanke Wang , Jiangtao Wen , Roberto Horowitz , Yuxing Han

Incorporating geometric invariance into neural networks enhances parameter efficiency but typically increases computational costs. This paper introduces new equivariant neural networks that preserve symmetry while maintaining a comparable…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Georg Bökman , David Nordström , Fredrik Kahl

The crucial role played by the underlying symmetries of high energy physics and lattice field theories calls for the implementation of such symmetries in the neural network architectures that are applied to the physical system under…

High Energy Physics - Lattice · Physics 2022-02-16 Srinath Bulusu , Matteo Favoni , Andreas Ipp , David I. Müller , Daniel Schuh

Learning-based 3D Scanning plays a crucial role in enabling efficient and accurate scanning of target objects. However, recent reinforcement learning-based methods often require large-scale training data and still struggle to generalize to…

Robotics · Computer Science 2026-03-12 Itsuki Hirako , Ryo Hakoda , Yubin Liu , Matthew Hwang , Yoshihiro Sato , Takeshi Oishi

Model-based reinforcement learning methods often use learning only for the purpose of estimating an approximate dynamics model, offloading the rest of the decision-making work to classical trajectory optimizers. While conceptually simple,…

Machine Learning · Computer Science 2022-12-22 Michael Janner , Yilun Du , Joshua B. Tenenbaum , Sergey Levine