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Molecular representation learning has attracted much attention recently. A molecule can be viewed as a 2D graph with nodes/atoms connected by edges/bonds, and can also be represented by a 3D conformation with 3-dimensional coordinates of…

Machine Learning · Computer Science 2022-07-20 Jinhua Zhu , Yingce Xia , Lijun Wu , Shufang Xie , Tao Qin , Wengang Zhou , Houqiang Li , Tie-Yan Liu

Sequential word order is important when processing text. Currently, neural networks (NNs) address this by modeling word position using position embeddings. The problem is that position embeddings capture the position of individual words,…

Computation and Language · Computer Science 2020-06-30 Benyou Wang , Donghao Zhao , Christina Lioma , Qiuchi Li , Peng Zhang , Jakob Grue Simonsen

In transformers, the positional encoding (PE) provides essential information that distinguishes the position and order amongst tokens in a sequence. Most prior investigations of PE effects on generalization were tailored to 1D input…

Machine Learning · Computer Science 2025-06-24 Takuya Ito , Luca Cocchi , Tim Klinger , Parikshit Ram , Murray Campbell , Luke Hearne

The answers to many unsolved problems lie in the intractable chemical space of molecules and materials. Machine learning techniques are rapidly growing in popularity as a way to compress and explore chemical space efficiently. One of the…

Chemical Physics · Physics 2020-01-06 John E. Herr , Kevin Koh , Kun Yao , John Parkhill

Modeling nonlinear spatiotemporal dynamical systems has primarily relied on partial differential equations (PDEs). However, the explicit formulation of PDEs for many underexplored processes, such as climate systems, biochemical reaction and…

Machine Learning · Computer Science 2023-05-23 Chengping Rao , Hao Sun , Yang Liu

The strength of machine learning models stems from their ability to learn complex function approximations from data; however, this strength also makes training deep neural networks challenging. Notably, the complex models tend to memorize…

Computer Vision and Pattern Recognition · Computer Science 2023-04-17 Mofassir ul Islam Arif , Mohsan Jameel , Josif Grabocka , Lars Schmidt-Thieme

It is well noted that coordinate-based MLPs benefit -- in terms of preserving high-frequency information -- through the encoding of coordinate positions as an array of Fourier features. Hitherto, the rationale for the effectiveness of these…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Jianqiao Zheng , Sameera Ramasinghe , Xueqian Li , Simon Lucey

Biologically inspired, from the early HMAX model to Spatial Pyramid Matching, pooling has played an important role in visual recognition pipelines. Spatial pooling, by grouping of local codes, equips these methods with a certain degree of…

Computer Vision and Pattern Recognition · Computer Science 2015-05-06 Mateusz Malinowski , Mario Fritz

While many approaches exist in the literature to learn low-dimensional representations for data collections in multiple modalities, the generalizability of multi-modal nonlinear embeddings to previously unseen data is a rather overlooked…

Machine Learning · Computer Science 2021-05-05 Semih Kaya , Elif Vural

Transformers, central to the successes in modern Natural Language Processing, often falter on arithmetic tasks despite their vast capabilities --which paradoxically include remarkable coding abilities. We observe that a crucial challenge is…

Computation and Language · Computer Science 2023-11-28 Ruoqi Shen , Sébastien Bubeck , Ronen Eldan , Yin Tat Lee , Yuanzhi Li , Yi Zhang

Machine learning has emerged as a powerful approach in materials discovery. Its major challenge is selecting features that create interpretable representations of materials, useful across multiple prediction tasks. We introduce an…

Rotary positional embedding has become the state-of-the-art approach to encode position information in transformer-based models. While it is often succinctly expressed in complex linear algebra, we note that the actual implementation of…

Machine Learning · Computer Science 2026-04-02 Beicheng Lou , Zifei Xu , Vivian W. H. Wong

Many aspects of the study of protein folding and dynamics have been affected by the recent advances in machine learning. Methods for the prediction of protein structures from their sequences are now heavily based on machine learning tools.…

Biological Physics · Physics 2019-11-25 Frank Noé , Gianni De Fabritiis , Cecilia Clementi

We propose a new positional encoding method for a neural network architecture called the Transformer. Unlike the standard sinusoidal positional encoding, our approach is based on solid mathematical grounds and has a guarantee of not losing…

Machine Learning · Computer Science 2024-05-17 Tsuyoshi Idé , Jokin Labaien , Pin-Yu Chen

Methods for knowledge editing and unlearning in large language models seek to edit or remove undesirable knowledge or capabilities without compromising general language modeling performance. This work investigates how mechanistic…

Machine Learning · Computer Science 2024-12-06 Phillip Guo , Aaquib Syed , Abhay Sheshadri , Aidan Ewart , Gintare Karolina Dziugaite

Machine-learning models in chemistry - when based on descriptors of atoms embedded within molecules - face essential challenges in transferring the quality of predictions of local electronic structures and their associated properties across…

Chemical Physics · Physics 2024-09-27 Frederik Ø. Kjeldal , Janus J. Eriksen

Regularization techniques are widely employed in optimization-based approaches for solving ill-posed inverse problems in data analysis and scientific computing. These methods are based on augmenting the objective with a penalty function,…

Optimization and Control · Mathematics 2021-06-08 Yong Sheng Soh , Venkat Chandrasekaran

Neural machine translation has achieved remarkable empirical performance over standard benchmark datasets, yet recent evidence suggests that the models can still fail easily dealing with substandard inputs such as misspelled words, To…

Computation and Language · Computer Science 2020-10-21 Haohan Wang , Peiyan Zhang , Eric P. Xing

The predictive accuracy of Machine Learning (ML) models of molecular properties depends on the choice of the molecular representation. Based on the postulates of quantum mechanics, we introduce a hierarchy of representations which meet…

Chemical Physics · Physics 2016-11-23 Bing Huang , O. Anatole von Lilienfeld

Modeling and prediction of human motion dynamics has long been a challenging problem in computer vision, and most existing methods rely on the end-to-end supervised training of various architectures of recurrent neural networks. Inspired by…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Borui Wang , Ehsan Adeli , Hsu-kuang Chiu , De-An Huang , Juan Carlos Niebles