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A number of machine learning tasks entail a high degree of invariance: the data distribution does not change if we act on the data with a certain group of transformations. For instance, labels of images are invariant under translations of…

机器学习 · 统计学 2021-03-01 Song Mei , Theodor Misiakiewicz , Andrea Montanari

Embedding learning, a.k.a. representation learning, has been shown to be able to model large-scale semantic knowledge graphs. A key concept is a mapping of the knowledge graph to a tensor representation whose entries are predicted by models…

人工智能 · 计算机科学 2016-05-10 Volker Tresp , Cristóbal Esteban , Yinchong Yang , Stephan Baier , Denis Krompaß

The requirement of generating predictions that exactly fulfill the fundamental symmetry of the corresponding physical quantities has profoundly shaped the development of machine-learning models for physical simulations. In many cases,…

机器学习 · 计算机科学 2026-03-27 Michelangelo Domina , Joseph William Abbott , Paolo Pegolo , Filippo Bigi , Michele Ceriotti

Self-supervised visual representation methods are closing the gap with supervised learning performance. These methods rely on maximizing the similarity between embeddings of related synthetic inputs created through data augmentations. This…

机器学习 · 计算机科学 2023-06-09 Alexandre Devillers , Mathieu Lefort

Geometric deep learning refers to the scenario in which the symmetries of a dataset are used to constrain the parameter space of a neural network and thus, improve their trainability and generalization. Recently this idea has been…

量子物理 · 物理学 2024-11-19 Sreetama Das , Stefano Martina , Filippo Caruso

Learning representations through deep generative modeling is a powerful approach for dynamical modeling to discover the most simplified and compressed underlying description of the data, to then use it for other tasks such as prediction.…

机器学习 · 计算机科学 2022-03-01 Bahar Azari , Deniz Erdoğmuş

Estimating treatment effects from observational data is challenging due to two main reasons: (a) hidden confounding, and (b) covariate mismatch (control and treatment groups not having identical distributions). Long lines of works exist…

机器学习 · 计算机科学 2025-04-30 Praharsh Nanavati , Ranjitha Prasad , Karthikeyan Shanmugam

Due to the nature of deep learning approaches, it is inherently difficult to understand which aspects of a molecular graph drive the predictions of the network. As a mitigation strategy, we constrain certain weights in a multi-task graph…

机器学习 · 计算机科学 2020-11-25 Ryan Henderson , Djork-Arné Clevert , Floriane Montanari

Tensors are a fundamental data structure for many scientific contexts, such as time series analysis, materials science, and physics, among many others. Improving our ability to produce and handle tensors is essential to efficiently address…

Equivariant quantum neural networks (QNNs) are promising variational models that exploit symmetries to improve machine learning capabilities. Despite theoretical developments in equivariant QNNs, their implementation on near-term quantum…

量子物理 · 物理学 2026-04-20 Koki Chinzei , Quoc Hoan Tran , Yasuhiro Endo , Hirotaka Oshima

Invariance (defined in a general sense) has been one of the most effective priors for representation learning. Direct factorization of parametric models is feasible only for a small range of invariances, while regularization approaches,…

机器学习 · 计算机科学 2020-07-28 Yingyi Ma , Vignesh Ganapathiraman , Yaoliang Yu , Xinhua Zhang

With the consolidation of deep learning in drug discovery, several novel algorithms for learning molecular representations have been proposed. Despite the interest of the community in developing new methods for learning molecular embeddings…

生物大分子 · 定量生物学 2022-05-09 María Virginia Sabando , Ignacio Ponzoni , Evangelos E. Milios , Axel J. Soto

Mapping an atomistic configuration to an $N$-point correlation of a field associated with the atomic positions (e.g. an atomic density) has emerged as an elegant and effective solution to represent structures as the input of…

化学物理 · 物理学 2020-10-07 Jigyasa Nigam , Sergey Pozdnyakov , Michele Ceriotti

The shape of a molecule determines its physicochemical and biological properties. However, it is often underrepresented in standard molecular representation learning approaches. Here, we propose using the Euler Characteristic Transform…

机器学习 · 计算机科学 2025-07-08 Victor Toscano-Duran , Florian Rottach , Bastian Rieck

The Symmetric group $S_{n}$ manifests itself in large classes of quantum systems as the invariance of certain characteristics of a quantum state with respect to permuting the qubits. The subgroups of $S_{n}$ arise, among many other…

量子物理 · 物理学 2024-11-19 Sreetama Das , Filippo Caruso

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…

化学物理 · 物理学 2024-09-27 Frederik Ø. Kjeldal , Janus J. Eriksen

Equivariant neural networks (ENNs) are graph neural networks embedded in $\mathbb{R}^3$ and are well suited for predicting molecular properties. The ENN library e3nn has customizable convolutions, which can be designed to depend only on…

机器学习 · 计算机科学 2020-11-25 Benjamin Kurt Miller , Mario Geiger , Tess E. Smidt , Frank Noé

In this paper we study the practicality and usefulness of incorporating distributed representations of graphs into models within the context of drug pair scoring. We argue that the real world growth and update cycles of drug pair scoring…

机器学习 · 计算机科学 2022-11-28 Paul Scherer , Pietro Liò , Mateja Jamnik

Machine learning models that embed graphs in non-Euclidean spaces have shown substantial benefits in a variety of contexts, but their application has not been studied extensively in the biological domain, particularly with respect to…

定量方法 · 定量生物学 2025-02-06 Daniel McNeela , Frederic Sala , Anthony Gitter

Geometric quantum machine learning uses the symmetries inherent in data to design tailored machine learning tasks with reduced search space dimension. The field has been well-studied recently in an effort to avoid barren plateau issues…

量子物理 · 物理学 2025-07-14 Zachary P. Bradshaw , Ethan N. Evans , Matthew Cook , Margarite L. LaBorde