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In this article, we propose a topological model to encode partial equivariance in neural networks. To this end, we introduce a class of operators, called P-GENEOs, that change data expressed by measurements, respecting the action of certain…

Machine Learning · Statistics 2023-08-28 Lucia Ferrari , Patrizio Frosini , Nicola Quercioli , Francesca Tombari

DeepFake face swapping enables highly realistic identity forgeries, posing serious privacy and security risks. A common defence embeds invisible perturbations into images, but these are fragile and often destroyed by basic transformations…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Hengyang Yao , Lin Li , Ke Sun , Jianing Qiu , Huiping Chen

A sequence of random variables is exchangeable if its joint distribution is invariant under variable permutations. We introduce exchangeable variable models (EVMs) as a novel class of probabilistic models whose basic building blocks are…

Machine Learning · Computer Science 2014-05-06 Mathias Niepert , Pedro Domingos

Deep neural networks trained on a wide range of datasets demonstrate impressive transferability. Deep features appear general in that they are applicable to many datasets and tasks. Such property is in prevalent use in real-world…

Machine Learning · Computer Science 2019-09-27 Hong Liu , Mingsheng Long , Jianmin Wang , Michael I. Jordan

Transformers have achieved great success across a wide range of applications, yet the theoretical foundations underlying their success remain largely unexplored. To demystify the strong capacities of transformers applied to versatile…

Machine Learning · Computer Science 2026-03-25 Chenyang Zhang , Qingyue Zhao , Quanquan Gu , Yuan Cao

Data arrives at our senses as a continuous stream, smoothly transforming from one instant to the next. These smooth transformations can be viewed as continuous symmetries of the environment that we inhabit, defining equivalence relations…

Machine Learning · Computer Science 2025-12-02 T. Anderson Keller

Temporal set prediction involves forecasting the elements that will appear in the next set, given a sequence of prior sets, each containing a variable number of elements. Existing methods often rely on intricate architectures with…

Machine Learning · Computer Science 2025-04-25 Ashish Ranjan , Ayush Agarwal , Shalin Barot , Sushant Kumar

Despite their widespread success in various domains, Transformer networks have yet to perform well across datasets in the domain of 3D atomistic graphs such as molecules even when 3D-related inductive biases like translational invariance…

Machine Learning · Computer Science 2023-03-01 Yi-Lun Liao , Tess Smidt

Transformers, composed of multiple self-attention layers, hold strong promises toward a generic learning primitive applicable to different data modalities, including the recent breakthroughs in computer vision achieving state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Sayak Paul , Pin-Yu Chen

The Transformer translation model is easier to parallelize and provides better performance compared to recurrent seq2seq models, which makes it popular among industry and research community. We implement the Neutron in this work, including…

Computation and Language · Computer Science 2020-03-23 Hongfei Xu , Qiuhui Liu

We present a method for feature interpretation that makes use of recent advances in autoregressive density estimation models to invert model representations. We train generative inversion models to express a distribution over input features…

Machine Learning · Statistics 2019-01-03 Charlie Nash , Nate Kushman , Christopher K. I. Williams

Astounding results from Transformer models on natural language tasks have intrigued the vision community to study their application to computer vision problems. Among their salient benefits, Transformers enable modeling long dependencies…

Computer Vision and Pattern Recognition · Computer Science 2022-01-20 Salman Khan , Muzammal Naseer , Munawar Hayat , Syed Waqas Zamir , Fahad Shahbaz Khan , Mubarak Shah

Machine learning models are central to people's lives and impact society in ways as fundamental as determining how people access information. The gravity of these models imparts a responsibility to model developers to ensure that they are…

Applications · Statistics 2020-07-13 Cyrus DiCiccio , Sriram Vasudevan , Kinjal Basu , Krishnaram Kenthapadi , Deepak Agarwal

Transfer learning has recently become the dominant paradigm of machine learning. Pre-trained models fine-tuned for downstream tasks achieve better performance with fewer labelled examples. Nonetheless, it remains unclear how to develop…

Machine Learning · Computer Science 2024-01-30 Jonas Pfeiffer , Sebastian Ruder , Ivan Vulić , Edoardo Maria Ponti

We address the challenging problem of deep representation learning--the efficient adaption of a pre-trained deep network to different tasks. Specifically, we propose to explore gradient-based features. These features are gradients of the…

Machine Learning · Computer Science 2020-04-14 Fangzhou Mu , Yingyu Liang , Yin Li

The goal of Deep Domain Adaptation is to make it possible to use Deep Nets trained in one domain where there is enough annotated training data in another where there is little or none. Most current approaches have focused on learning…

Computer Vision and Pattern Recognition · Computer Science 2017-11-22 Artem Rozantsev , Mathieu Salzmann , Pascal Fua

The learning of Transformation-Equivariant Representations (TERs), which is introduced by Hinton et al. \cite{hinton2011transforming}, has been considered as a principle to reveal visual structures under various transformations. It contains…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Guo-Jun Qi , Liheng Zhang , Chang Wen Chen , Qi Tian

Although researchers' attention is more focused on the performance of Transformer models, the interpretation of Transformer can never be ignored. Gradient is widely utilized in Transformer interpretation. From the perspective of attention…

Artificial Intelligence · Computer Science 2026-05-13 Yongjin Cui , Xiaohui Fan , Huajun Chen

Equivariance to symmetries has proven to be a powerful inductive bias in deep learning research. Recent works on mesh processing have concentrated on various kinds of natural symmetries, including translations, rotations, scaling, node…

Machine Learning · Computer Science 2022-08-30 Sourya Basu , Jose Gallego-Posada , Francesco Viganò , James Rowbottom , Taco Cohen

Transformer based models have shown remarkable capabilities in sequence learning across a wide range of tasks, often performing well on specific task by leveraging input-output examples. Despite their empirical success, a comprehensive…

Machine Learning · Computer Science 2025-06-03 Yifan Hao , Chenlu Ye , Chi Han , Tong Zhang