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The need for analysis of toxicity in new drug candidates and the requirement of doing it fast have asked the consideration of scientists towards the use of artificial intelligence tools to examine toxicity levels and to develop models to a…

Quantitative Methods · Quantitative Biology 2021-01-27 Mriganka Nath , Subhasish Goswami

In this work we use the persistent homology method, a technique in topological data analysis (TDA), to extract essential topological features from the data space and combine them with deep learning features for classification tasks. In TDA,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Mariana Dória Prata Lima , Gilson Antonio Giraldi , Gastão Florêncio Miranda Junior

Persistent homology (PH) is a crucial concept in computational topology, providing a multiscale topological description of a space. It is particularly significant in topological data analysis, which aims to make statistical inference from a…

Machine Learning · Statistics 2025-11-25 Sing-Yuan Yeh , Chun-Hao Yang

Current neural networks for predictions of molecular properties use quantum chemistry only as a source of training data. This paper explores models that use quantum chemistry as an integral part of the prediction process. This is done by…

Chemical Physics · Physics 2018-08-22 Haichen Li , Christopher Collins , Matteus Tanha , Geoffrey J. Gordon , David J. Yaron

Sample selection improves the efficiency and effectiveness of machine learning models by providing informative and representative samples. Typically, samples can be modeled as a sample graph, where nodes are samples and edges represent…

Machine Learning · Computer Science 2025-03-04 Tianchi Xie , Jiangning Zhu , Guozu Ma , Minzhi Lin , Wei Chen , Weikai Yang , Shixia Liu

Topological data analysis (TDA) is a tool from data science and mathematics that is beginning to make waves in environmental science. In this work, we seek to provide an intuitive and understandable introduction to a tool from TDA that is…

Machine Learning · Computer Science 2025-07-15 Lander Ver Hoef , Henry Adams , Emily J. King , Imme Ebert-Uphoff

Automated knowledge discovery from trending chemical literature is essential for more efficient biomedical research. How to extract detailed knowledge about chemical reactions from the core chemistry literature is a new emerging challenge…

Computation and Language · Computer Science 2021-08-31 Chenkai Sun , Weijiang Li , Jinfeng Xiao , Nikolaus Nova Parulian , ChengXiang Zhai , Heng Ji

The arc of drug discovery entails a multiparameter optimization problem spanning vast length scales. They key parameters range from solubility (angstroms) to protein-ligand binding (nanometers) to in vivo toxicity (meters). Through feature…

Topology provides an essential concept for achieving unchanged (or protected) quantum properties in the presence of perturbations. A challenge facing realistic applications is that the level of protection displayed in real systems is…

Mesoscale and Nanoscale Physics · Physics 2024-10-29 Anh Ho Hoai , Jian Huang , L. N. Pfeiffer , K. W. West

The statistical mechanical approach to complex networks is the dominant paradigm in describing natural and societal complex systems. The study of network properties, and their implications on dynamical processes, mostly focus on locally…

Statistical Mechanics · Physics 2013-06-27 Giovanni Petri , Martina Scolamiero , Irene Donato , Francesco Vaccarino

Machine learning has emerged as a potent computational tool for expediting research and development in solid oxide fuel cell electrodes. The effective application of machine learning for performance prediction requires transforming…

Materials Science · Physics 2025-03-19 Maksym Szemer , Szymon Buchaniec , Tomasz Prokop , Grzegorz Brus

Topological materials--including insulators (TIs) and semimetals (TSMs)--hold immense promise for quantum technologies, yet their discovery remains constrained by the high computational cost of first-principles calculations and the slow,…

Materials Science · Physics 2026-02-27 Arif Ullah , Rajibul Islam , Ghulam Hussain , Zahir Muhammad , Xiaoguang Li , Ming Yang

Persistent homology is a technique recently developed in algebraic and computational topology well-suited to analysing structure in complex, high-dimensional data. In this paper, we exposit the theory of persistent homology from first…

Applications · Statistics 2016-11-30 Matthew Pietrosanu

Topology optimization has emerged as a popular approach to refine a component's design and increase its performance. However, current state-of-the-art topology optimization frameworks are compute-intensive, mainly due to multiple finite…

Machine Learning · Computer Science 2022-10-27 Jaydeep Rade , Aditya Balu , Ethan Herron , Jay Pathak , Rishikesh Ranade , Soumik Sarkar , Adarsh Krishnamurthy

Measurement and analysis of high energetic particles for scientific, medical or industrial applications is a complex procedure, requiring the design of sophisticated detector and data processing systems. The development of adaptive and…

Computational Physics · Physics 2025-10-30 Tobias Kortus , Ralf Keidel , Nicolas R. Gauger

We propose a novel method for topological analysis of unweighted graphs which is based on \textit{persistent homology}. The proposed method maps the input graph to a complete weighted graph where the weighting function maps each edge to a…

Algebraic Topology · Mathematics 2020-07-31 Padraig Corcoran

The deployment of deep neural networks on resource-constrained devices necessitates effective model com- pression strategies that judiciously balance the reduction of model size with the preservation of performance. This study introduces a…

Machine Learning · Computer Science 2025-05-02 Mohammad Zbeeb , Mariam Salman , Mohammad Bazzi , Ammar Mohanna

Recently, there has been an explosion in statistical learning literature to represent data using topological principles to capture structure and relationships. We propose a topological data analysis (TDA)-based framework, named Topological…

Machine Learning · Statistics 2025-11-10 Jordan Eckert , Elvan Ceyhan , Henry Schenck

The problem of (point) forecasting $ \textit{univariate} $ time series is considered. Most approaches, ranging from traditional statistical methods to recent learning-based techniques with neural networks, directly operate on raw time…

Machine Learning · Computer Science 2021-07-21 Sebastian Zeng , Florian Graf , Christoph Hofer , Roland Kwitt

Today there are approximately 85,000 chemicals regulated under the Toxic Substances Control Act, with around 2,000 new chemicals introduced each year. It is impossible to screen all of these chemicals for potential toxic effects either via…

Applications · Statistics 2022-07-27 Kelly R. Moran , David Dunson , Matthew W. Wheeler , Amy H. Herring