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Artificial intelligence (AI) has transformed digital pathology by enabling biomarker prediction from high-resolution whole-slide images (WSIs). However, current methods are computationally inefficient, processing thousands of redundant…

In component shape optimization, the component properties are often evaluated by computationally expensive simulations. Such optimization becomes unfeasible when it is focused on a global search requiring thousands of simulations to be…

Computational Engineering, Finance, and Science · Computer Science 2025-12-08 Lucie Kubíčková , Onřej Gebouský , Jan Haidl , Martin Isoz

Ordinary and partial differential equations (DE) are used extensively in scientific and mathematical domains to model physical systems. Current literature has focused primarily on deep neural network (DNN) based methods for solving a…

Neural and Evolutionary Computing · Computer Science 2023-06-21 Hyeonjung , Jung , Jayant Gupta , Bharat Jayaprakash , Matthew Eagon , Harish Panneer Selvam , Carl Molnar , William Northrop , Shashi Shekhar

Detecting microbial biomarkers used to predict disease phenotypes and clinical outcomes is crucial for disease early-stage screening and diagnosis. Most methods for biomarker identification are linear-based, which is very limited as…

Quantitative Methods · Quantitative Biology 2021-09-29 Jian Jiang

In this paper, we propose PCPNet, a deep-learning based approach for estimating local 3D shape properties in point clouds. In contrast to the majority of prior techniques that concentrate on global or mid-level attributes, e.g., for shape…

Computational Geometry · Computer Science 2018-06-20 Paul Guerrero , Yanir Kleiman , Maks Ovsjanikov , Niloy J. Mitra

The existing variants of the Differential Evolution (DE) algorithm come with certain limitations, such as poor local search and susceptibility to premature convergence. This study introduces Adaptive Differential Evolution with…

Neural and Evolutionary Computing · Computer Science 2023-12-25 Sarit Maitra

We have developed PyTIE (Python Topological Indices Expressions) which is defined as the collections of Python packages such as PyTIE D, PyTIE DS, PyTIE SMS DE, and PyTIE SMS DSE, which are open-source software packages and cross-platform…

Chemical Physics · Physics 2025-11-03 Sahaya Vijay Jeyaraj , Roy S , Govardhan S , Tony Augustine , Jyothish K

In this study, we explore the application of Physics-Informed Neural Networks (PINNs) to the analysis of bifurcation phenomena in ecological migration models. By integrating the fundamental principles of diffusion-advection-reaction…

Chaotic Dynamics · Physics 2025-11-25 Lujie Yin , Xing Lv

Kernel Density Estimation (KDE) is a cornerstone of nonparametric statistics, yet it remains sensitive to bandwidth choice, boundary bias, and computational inefficiency. This study revisits KDE through a principled convolutional framework,…

Methodology · Statistics 2025-10-24 Nicholas Tenkorang , Kwesi Appau Ohene-Obeng , Xiaogang Su

We present Shape-Tailored Deep Neural Networks (ST-DNN). ST-DNN extend convolutional networks (CNN), which aggregate data from fixed shape (square) neighborhoods, to compute descriptors defined on arbitrarily shaped regions. This is natural…

Computer Vision and Pattern Recognition · Computer Science 2021-02-18 Naeemullah Khan , Angira Sharma , Ganesh Sundaramoorthi , Philip H. S. Torr

Neural networks are one tool for approximating non-linear differential equations used in scientific computing tasks such as surrogate modeling, real-time predictions, and optimal control. PDE foundation models utilize neural networks to…

Machine Learning · Computer Science 2025-02-11 Elisa Negrini , Yuxuan Liu , Liu Yang , Stanley J. Osher , Hayden Schaeffer

This paper discusses a Python interface for the recently published DUNE-FEM-DG module which provides highly efficient implementations of the Discontinuous Galerkin (DG) method for solving a wide range of non linear partial differential…

Mathematical Software · Computer Science 2021-03-30 Andreas Dedner , Robert Klöfkorn

Partial Differential Equations (PDE) are fundamental to model different phenomena in science and engineering mathematically. Solving them is a crucial step towards a precise knowledge of the behaviour of natural and engineered systems. In…

Automated data-driven modeling, the process of directly discovering the governing equations of a system from data, is increasingly being used across the scientific community. PySINDy is a Python package that provides tools for applying the…

3D shape representation and its processing have substantial effects on 3D shape recognition. The polygon mesh as a 3D shape representation has many advantages in computer graphics and geometry processing. However, there are still some…

Computer Vision and Pattern Recognition · Computer Science 2022-05-12 Mohsen Yavartanoo , Shih-Hsuan Hung , Reyhaneh Neshatavar , Yue Zhang , Kyoung Mu Lee

Surface normal holds significant importance in visual environmental perception, serving as a source of rich geometric information. However, the state-of-the-art (SoTA) surface normal estimators (SNEs) generally suffer from an unsatisfactory…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Yi Feng , Bohuan Xue , Ming Liu , Qijun Chen , Rui Fan

Purpose: To present and evaluate Dafne (deep anatomical federated network), a freely available decentralized, collaborative deep learning system for the semantic segmentation of radiological images through federated incremental learning.…

Dynamic MRI may capture temporal anatomical changes in soft tissue organs with high contrast but the obtained sequences usually suffer from limited volume coverage which makes the high resolution reconstruction of organ shape trajectories a…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Karim Makki , Amine Bohi , Augustin . C Ogier , Marc Emmanuel Bellemare

This paper introduces a novel type of memetic algorithm based Topology and Weight Evolving Artificial Neural Network (TWEANN) system called DX Neural Network (DXNN). DXNN implements a number of interesting features, amongst which is: a…

Neural and Evolutionary Computing · Computer Science 2011-07-19 Gene I. Sher

In recent years, the researches about solving partial differential equations (PDEs) based on artificial neural network have attracted considerable attention. In these researches, the neural network models are usually designed depend on…

Neural and Evolutionary Computing · Computer Science 2024-05-21 Bo Zhang , Chao Yang