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A wide range of techniques have been proposed in recent years for designing neural networks for 3D data that are equivariant under rotation and translation of the input. Most approaches for equivariance under the Euclidean group…

Computational Geometry · Computer Science 2022-11-30 Adrien Poulenard , Maks Ovsjanikov , Leonidas J. Guibas

X-ray data indicate that complexes of ribosomes with cognate and near cognate tRNAs are very similar structurally, and this was the ground for a suggestion that the ribosome discriminates correct codon-anticodon pair because of its higher…

Biological Physics · Physics 2013-12-05 Denis Semyonov

Representation learning has become increasingly important, especially as powerful models have shifted towards learning latent representations before fine-tuning for downstream tasks. This approach is particularly valuable in leveraging the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Shizhe He , Magdalini Paschali , Jiahong Ouyang , Adnan Masood , Akshay Chaudhari , Ehsan Adeli

Vision Transformers (ViTs) have gained rapid adoption in computational pathology for their ability to model long-range dependencies through self-attention, addressing the limitations of convolutional neural networks that excel at local…

Image and Video Processing · Electrical Eng. & Systems 2026-01-15 Fuyao Chen , Yuexi Du , Elèonore V. Lieffrig , Nicha C. Dvornek , John A. Onofrey

Incorporating permutation equivariance into neural networks has proven to be useful in ensuring that models respect symmetries that exist in data. Symmetric tensors, which naturally appear in statistics, machine learning, and graph theory,…

Machine Learning · Computer Science 2025-05-26 Edward Pearce-Crump

Using the shape space of codons and tRNAs we give a physical description of the genetic code evolution on the basis of the codon capture and ambiguous intermediate scenarios in a consistent manner. In the lowest dimensional version of our…

Genomics · Quantitative Biology 2011-10-25 Tatsuro Yamashita , Osamu Narikiyo

Translation is a central biological process by which proteins are synthesized from genetic information contained within mRNAs. Here we study the kinetics of translation at molecular level through a stochastic simulation model. The model…

Molecular Networks · Quantitative Biology 2020-02-18 Wenjun Xia , Jinzhi Lei

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

The effective application of foundation models to translational research in immune-mediated diseases requires multimodal patient-level representations that can capture complex phenotypes emerging from multicellular interactions. Yet most…

The translation equivariance of convolutions can make convolutional neural networks translation equivariant or invariant. Equivariance to other transformations (e.g. rotations, affine transformations, scalings) may also be desirable as soon…

Signal Processing · Electrical Eng. & Systems 2021-05-05 Mateus Sangalli , Samy Blusseau , Santiago Velasco-Forero , Jesus Angulo

Molecular 3D conformations play a key role in determining how molecules interact with other molecules or protein surfaces. Recent deep learning advancements have improved conformation prediction, but slow training speeds and difficulties in…

Machine Learning · Computer Science 2024-12-17 Qingwen Tian , Yuxin Xu , Yixuan Yang , Zhen Wang , Ziqi Liu , Pengju Yan , Xiaolin Li

Equivariant neural networks exploit underlying task symmetries to improve generalization, but strict equivariance constraints can induce more complex optimization dynamics that can hinder learning. Prior work addresses these limitations by…

Machine Learning · Computer Science 2026-02-24 Stefanos Pertigkiozoglou , Mircea Petrache , Shubhendu Trivedi , Kostas Daniilidis

Understanding protein sequences is vital and urgent for biology, healthcare, and medicine. Labeling approaches are expensive yet time-consuming, while the amount of unlabeled data is increasing quite faster than that of the labeled data due…

Computation and Language · Computer Science 2021-11-01 Liang He , Shizhuo Zhang , Lijun Wu , Huanhuan Xia , Fusong Ju , He Zhang , Siyuan Liu , Yingce Xia , Jianwei Zhu , Pan Deng , Bin Shao , Tao Qin , Tie-Yan Liu

I present a novel equivariant neural network architecture for the large-scale spin dynamics simulation of the Kondo lattice model. This neural network mainly consists of tensor-product-based convolution layers and ensures two equivariances:…

Strongly Correlated Electrons · Physics 2023-10-12 Yu Miyazaki

Convolutional neural networks owe much of their success to hard-coding translation equivariance. Quantum convolutional neural networks (QCNNs) have been proposed as near-term quantum analogues, but the relevant notion of translation depends…

Quantum Physics · Physics 2026-04-28 Dmitry Chirkov , Igor Lobanov

Sparse autoencoders (SAEs) have proven useful in disentangling the opaque activations of neural networks, primarily large language models, into sets of interpretable features. However, adapting them to domains beyond language, such as…

Machine Learning · Computer Science 2025-11-13 Ege Erdogan , Ana Lucic

Messenger RNA (mRNA) vaccines are being used for COVID-19, but still suffer from the critical issue of mRNA instability and degradation, which is a major obstacle in the storage, distribution, and efficacy of the vaccine. Previous work…

Protein complexes are macromolecules essential to the functioning and well-being of all living organisms. As the structure of a protein complex, in particular its region of interaction between multiple protein subunits (i.e., chains), has a…

Machine Learning · Computer Science 2022-05-26 Alex Morehead , Xiao Chen , Tianqi Wu , Jian Liu , Jianlin Cheng

Processing global geometric context while preserving equivariance is crucial when modeling biological, chemical, and physical systems. Yet, this is challenging due to the computational demands of equivariance and global context at scale.…

Machine Learning · Computer Science 2025-05-29 Artem Moskalev , Mangal Prakash , Junjie Xu , Tianyu Cui , Rui Liao , Tommaso Mansi

Equivariant graph neural network (GNN) methods for antibody complementarity-determining region (CDR) design achieve the highest sequence recovery but suffer from severe vocabulary collapse. The current best GNN methods over-predict very few…

Machine Learning · Computer Science 2026-05-21 Mansoor Ahmed , Sujin Lee , Umar Khayaz , Murray Patterson