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Deep generative models have been praised for their ability to learn smooth latent representation of images, text, and audio, which can then be used to generate new, plausible data. However, current generative models are unable to work with…

Machine Learning · Computer Science 2019-09-09 Bidisha Samanta , Abir De , Gourhari Jana , Pratim Kumar Chattaraj , Niloy Ganguly , Manuel Gomez-Rodriguez

Topological data analysis (TDA) is a branch of computational mathematics, bridging algebraic topology and data science, that provides compact, noise-robust representations of complex structures. Deep neural networks (DNNs) learn millions of…

Machine learning in drug discovery has been focused on virtual screening of molecular libraries using discriminative models. Generative models are an entirely different approach that learn to represent and optimize molecules in a continuous…

Quantitative Methods · Quantitative Biology 2020-11-17 Matthew Ragoza , Tomohide Masuda , David Ryan Koes

Deep generative models are increasingly becoming integral parts of the in silico molecule design pipeline and have dual goals of learning the chemical and structural features that render candidate molecules viable while also being flexible…

Biomolecules · Quantitative Biology 2021-06-08 Yair Schiff , Vijil Chenthamarakshan , Karthikeyan Natesan Ramamurthy , Payel Das

Topological Data Analysis (TDA) provides tools to describe the shape of data, but integrating topological features into deep learning pipelines remains challenging, especially when preserving local geometric structure rather than…

Machine Learning · Computer Science 2026-04-21 Elena Xinyi Wang , Arnur Nigmetov , Dmitriy Morozov

Generative models aim to learn the distribution of observed data by generating new instances. With the advent of neural networks, deep generative models, including variational autoencoders (VAEs), generative adversarial networks (GANs), and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Zifan Shi , Sida Peng , Yinghao Xu , Andreas Geiger , Yiyi Liao , Yujun Shen

Topological Data Analysis (TDA) has emerged as a powerful framework for extracting robust, multiscale, and interpretable features from complex molecular data for artificial intelligence (AI) modeling and topological deep learning (TDL).…

Biomolecules · Quantitative Biology 2025-09-23 JunJie Wee , Jian Jiang

Three-dimensional geometric data offer an excellent domain for studying representation learning and generative modeling. In this paper, we look at geometric data represented as point clouds. We introduce a deep AutoEncoder (AE) network with…

Computer Vision and Pattern Recognition · Computer Science 2018-06-13 Panos Achlioptas , Olga Diamanti , Ioannis Mitliagkas , Leonidas Guibas

In recent years, graph neural networks (GNNs) have emerged as a potent tool for learning on graph-structured data and won fruitful successes in varied fields. The majority of GNNs follow the message-passing paradigm, where representations…

Machine Learning · Computer Science 2024-08-30 Yurui Lai , Xiaoyang Lin , Renchi Yang , Hongtao Wang

Data augmentation is widely used to train deep learning models to address data scarcity. However, traditional data augmentation (TDA) typically relies on simple geometric transformation, such as random rotation and rescaling, resulting in…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Dekai Zhu , Stefan Gavranovic , Flavien Boussuge , Benjamin Busam , Slobodan Ilic

Learning low-dimensional representations of single-cell transcriptomics has become instrumental to its downstream analysis. The state of the art is currently represented by neural network models such as variational autoencoders (VAEs) which…

Machine Learning · Computer Science 2024-02-01 Viktoria Schuster , Anders Krogh

Topological Data Analysis (TDA) has been praised by researchers for its ability to capture intricate shapes and structures within data. TDA is considered robust in handling noisy and high-dimensional datasets, and its interpretability is…

Machine Learning · Computer Science 2024-01-10 Funmilola Mary Taiwo , Umar Islambekov , Cuneyt Gurcan Akcora

Topological data analysis (TDA) provides insight into data shape. The summaries obtained by these methods are principled global descriptions of multi-dimensional data whilst exhibiting stable properties such as robustness to deformation and…

Machine Learning · Computer Science 2024-03-18 Ali Zia , Abdelwahed Khamis , James Nichols , Zeeshan Hayder , Vivien Rolland , Lars Petersson

Deep learning has become a popular tool for medical image analysis, but the limited availability of training data remains a major challenge, particularly in the medical field where data acquisition can be costly and subject to privacy…

Image and Video Processing · Electrical Eng. & Systems 2024-06-11 Aghiles Kebaili , Jérôme Lapuyade-Lahorgue , Su Ruan

In data-driven drug discovery, designing molecular descriptors is a very important task. Deep generative models such as variational autoencoders (VAEs) offer a potential solution by designing descriptors as probabilistic latent vectors…

Machine Learning · Computer Science 2023-08-23 Daiki Koge , Naoaki Ono , Shigehiko Kanaya

Topological Data Analysis (TDA) is a novel statistical technique, particularly powerful for the analysis of large and high dimensional data sets. Much of TDA is based on the tool of persistent homology, represented visually via persistence…

Applications · Statistics 2017-11-07 Sarit Agami , Robert J. Adler

Topological Data Analysis (TDA) is a recent and growing branch of statistics devoted to the study of the shape of the data. In this work we investigate the predictive power of TDA in the context of supervised learning. Since topological…

Machine Learning · Statistics 2017-09-22 Tullia Padellini , Pierpaolo Brutti

Deep learning has proven to yield fast and accurate predictions of quantum-chemical properties to accelerate the discovery of novel molecules and materials. As an exhaustive exploration of the vast chemical space is still infeasible, we…

Machine Learning · Statistics 2020-01-10 Niklas W. A. Gebauer , Michael Gastegger , Kristof T. Schütt

Topological Data Analysis (TDA) is a rigorous framework that borrows techniques from geometric and algebraic topology, category theory, and combinatorics in order to study the "shape" of such complex high-dimensional data. Research in this…

Algebraic Topology · Mathematics 2022-04-15 R. W. R. Darling , John A. Emanuello , Emilie Purvine , Ahmad Ridley

With the recent advances in machine learning for quantum chemistry, it is now possible to predict the chemical properties of compounds and to generate novel molecules. Existing generative models mostly use a string- or graph-based…

Biomolecules · Quantitative Biology 2020-10-14 Vitali Nesterov , Mario Wieser , Volker Roth
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