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Machine learning holds tremendous promise for transforming the fundamental practice of scientific discovery by virtue of its data-driven nature. With the ever-increasing stream of research data collection, it would be appealing to…

机器学习 · 计算机科学 2024-03-06 Jianan Fan , Dongnan Liu , Hang Chang , Heng Huang , Mei Chen , Weidong Cai

Machine learning methods have shown promise in predicting molecular properties, and given sufficient training data machine learning approaches can enable rapid high-throughput virtual screening of large libraries of compounds. Graph-based…

We present a new method for solving parametrized linear systems. Under certain assumptions on the parametrization, solutions to the linear systems for all parameters can be accurately approximated by linear combinations of solutions to…

数值分析 · 数学 2014-06-03 Anil Damle , Lin Lin , Lexing Ying

The branching of an RNA molecule is an important structural characteristic yet difficult to predict correctly, especially for longer sequences. Using plane trees as a combinatorial model for RNA folding, we consider the thermodynamic cost,…

生物大分子 · 定量生物学 2023-03-23 Christine Heitsch , Chi N. Y. Huynh , Greg Johnston

Combinatorial optimization is a well-established area in operations research and computer science. Until recently, its methods have focused on solving problem instances in isolation, ignoring that they often stem from related data…

机器学习 · 计算机科学 2023-09-06 Quentin Cappart , Didier Chételat , Elias Khalil , Andrea Lodi , Christopher Morris , Petar Veličković

This work deals with the optimization of computer programs targeting Graphics Processing Units (GPUs). The goal is to lift, from programmers to optimizing compilers, the heavy burden of determining program details that are dependent on the…

分布式、并行与集群计算 · 计算机科学 2018-01-16 Xiaohui Chen , Marc Moreno-Maza , Jeeva Paudel , Ning Xie

Deep learning models are often considered black boxes due to their complex hierarchical transformations. Identifying suitable architectures is crucial for maximizing predictive performance with limited data. Understanding the geometric…

机器学习 · 计算机科学 2025-03-11 Michael Wienczkowski , Addisu Desta , Paschal Ugochukwu

Graphical models use the intuitive and well-studied methods of graph theory to implicitly represent dependencies between variables in large systems. They can model the global behaviour of a complex system by specifying only local factors.…

人工智能 · 计算机科学 2015-08-21 Siamak Ravanbakhsh

Molecular property calculations are the bedrock of chemical physics. High-fidelity \textit{ab initio} modeling techniques for computing the molecular properties can be prohibitively expensive, and motivate the development of…

The Neighbor-Joining algorithm is a popular distance-based phylogenetic method that computes a tree metric from a dissimilarity map arising from biological data. Realizing dissimilarity maps as points in Euclidean space, the algorithm…

组合数学 · 数学 2020-09-18 Ruth Davidson , Abraham Martin del Campo

In this work we present a general and versatile algorithmic framework for exhaustively generating a large variety of different combinatorial objects, based on encoding them as permutations. This approach provides a unified view on many…

离散数学 · 计算机科学 2021-11-05 Elizabeth Hartung , Hung Phuc Hoang , Torsten Mütze , Aaron Williams

The analysis of the three-dimensional structure of proteins is an important topic in molecular biochemistry. Structure plays a critical role in defining the function of proteins and is more strongly conserved than amino acid sequence over…

应用统计 · 统计学 2015-01-19 Abel Rodriguez , Scott C. Schmidler

Linear-parametric optimization, where multiple objectives are combined into a single objective using linear combinations with parameters as coefficients, has numerous links to other fields in optimization and a wide range of application…

最优化与控制 · 数学 2025-01-22 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

We present a Python package together with a practical guide for the implementation of a lightweight diversity-enhanced genetic algorithm (GA) approach for the exploration of multi-dimensional parameter spaces. Searching a parameter space…

神经与进化计算 · 计算机科学 2024-12-24 Jonas Wessén , Eliel Camargo-Molina

Finding correspondences between 3D shapes is a crucial problem in computer vision and graphics, which is for example relevant for tasks like shape interpolation, pose transfer, or texture transfer. An often neglected but essential property…

计算机视觉与模式识别 · 计算机科学 2023-09-12 Viktoria Ehm , Paul Roetzer , Marvin Eisenberger , Maolin Gao , Florian Bernard , Daniel Cremers

Secondary structure plays an important role in determining the function of non-coding RNAs. Hence, identifying RNA secondary structures is of great value to research. Computational prediction is a mainstream approach for predicting RNA…

生物大分子 · 定量生物学 2021-09-15 Qi Zhao , Zheng Zhao , Xiaoya Fan , Zhengwei Yuan , Qian Mao , Yudong Yao

Most datasets encountered in computer vision and medical applications present symmetries that should be taken into account in classification tasks. A typical example is the symmetry by rotation and/or scaling in object detection. A common…

计算机视觉与模式识别 · 计算机科学 2025-12-23 Ioana Ciuclea , Giorgio Longari , Alice Barbara Tumpach

Matrix completion models are among the most common formulations of recommender systems. Recent works have showed a boost of performance of these techniques when introducing the pairwise relationships between users/items in the form of…

机器学习 · 计算机科学 2017-04-25 Federico Monti , Michael M. Bronstein , Xavier Bresson

Existing approaches to solving combinatorial optimization problems on graphs suffer from the need to engineer each problem algorithmically, with practical problems recurring in many instances. The practical side of theoretical computer…

机器学习 · 计算机科学 2020-07-15 Natalia Vesselinova , Rebecca Steinert , Daniel F. Perez-Ramirez , Magnus Boman

Combinatorial samplers are algorithmic schemes devised for the approximate- and exact-size generation of large random combinatorial structures, such as context-free words, various tree-like data structures, maps, tilings, RNA molecules.…

组合数学 · 数学 2021-08-19 Maciej Bendkowski , Olivier Bodini , Sergey Dovgal