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We consider joint estimation of multiple graphical models arising from heterogeneous and high-dimensional observations. Unlike most previous approaches which assume that the cluster structure is given in advance, an appealing feature of our…

机器学习 · 统计学 2018-01-16 Botao Hao , Will Wei Sun , Yufeng Liu , Guang Cheng

For a very long time, computational approaches to the design of new materials have relied on an iterative process of finding a candidate material and modeling its properties. AI has played a crucial role in this regard, helping to…

The optimization of atomic structures plays a pivotal role in understanding and designing materials with desired properties. However, conventional computational methods often struggle with the formidable task of navigating the vast…

材料科学 · 物理学 2024-11-19 Peder Lyngby , Casper Larsen , Karsten Wedel Jacobsen

Finding low-energy molecular conformers is challenging due to the high dimensionality of the search space and the computational cost of accurate quantum chemical methods for determining conformer structures and energies. Here, we combine…

计算物理 · 物理学 2020-06-29 Lincan Fang , Esko Makkonen , Milica Todorovic , Patrick Rinke , Xi Chen

This thesis investigates the use of problem-specific knowledge to enhance a genetic algorithm approach to multiple-choice optimisation problems.It shows that such information can significantly enhance performance, but that the choice of…

神经与进化计算 · 计算机科学 2010-07-05 Uwe Aickelin

In recent years, the CNN architectures designed by evolution algorithms have proven to be competitive with handcrafted architectures designed by experts. However, these algorithms need a lot of computational power, which is beyond the…

计算机视觉与模式识别 · 计算机科学 2023-05-08 Ousmane Youme , Jean Marie Dembele , Eugene C. Ezin , Christophe Cambier

Training model to generate data has increasingly attracted research attention and become important in modern world applications. We propose in this paper a new geometry-based optimization approach to address this problem. Orthogonal to…

机器学习 · 计算机科学 2017-08-18 Trung Le , Hung Vu , Tu Dinh Nguyen , Dinh Phung

Cluster analysis of biological samples using gene expression measurements is a common task which aids the discovery of heterogeneous biological sub-populations having distinct mRNA profiles. Several model-based clustering algorithms have…

统计方法学 · 统计学 2012-01-30 Alberto Cozzini , Ajay Jasra , Giovanni Montana

We employ a machine learning-enabled approach to quantum state engineering based on evolutionary algorithms. In particular, we focus on superconducting platforms and consider a network of qubits -- encoded in the states of artificial atoms…

量子物理 · 物理学 2023-01-26 Jonathon Brown , Mauro Paternostro , Alessandro Ferraro

We apply a stochastic method of minimizing the ground state energy in variational calculations of light nuclei using the Refined Resonating Group Model (RRGM). The method utilizes a bit representation of the width parameters to be varied.…

核理论 · 物理学 2008-11-26 Christian Winkler , Hartmut M. Hofmann

Reliability is one of the important measures of how well the system meets its design objective, and mathematically is the probability that a system will perform satisfactorily for at least a given period of time. When the system is…

物理与社会 · 物理学 2014-12-16 Ho Tat Lam , Kwok Yip Szeto

It has previously been proven that finding the globally minimum energy configuration of an atomic cluster belongs in the class of NP-hard problems. However, this proof is limited only to homonuclear clusters. This paper presents a new proof…

原子与分子团簇 · 物理学 2007-05-23 G. W. Greenwood

Optimization problems frequently appear in any scientific domain. Most of the times, the corresponding decision problem turns out to be NP-hard, and in these cases genetic algorithms are often used to obtain approximated solutions. However,…

神经与进化计算 · 计算机科学 2024-02-02 Alba Muñoz , Fernando Rubio

Determining the number of clusters in a dataset is a fundamental issue in data clustering. Many methods have been proposed to solve the problem of selecting the number of clusters, considering it to be a problem with regard to model…

机器学习 · 计算机科学 2022-10-04 Ryosuke Motegi , Yoichi Seki

Locating the global minimum of a complex potential energy surface is facilitated by considering a homotopy, namely a family of surfaces that interpolate continuously from an arbitrary initial potential to the system under consideration.…

计算物理 · 物理学 2009-11-07 J. S. Hunjan , S. Sarkar , R. Ramaswamy

The functionality of catalysts, enzymes, and supramolecular assemblies emerges not from individual molecules alone, but from the subtle interplay between multiple components arranged in complex systems. Designing such systems is a grand…

计算物理 · 物理学 2026-04-15 Rhyan Barrett , Robin Curth , Julia Westermayr

In this paper, we propose a method to build molecular cages designed to capture a specific substrate. We model a cage as a graph of atoms with coordinates in space, and several constraints on their edges (degree, length and angle). We use a…

数据结构与算法 · 计算机科学 2026-04-14 Noé Demange , Yann Strozecki , Sandrine Vial

One of the most widely used techniques for data clustering is agglomerative clustering. Such algorithms have been long used across many different fields ranging from computational biology to social sciences to computer vision in part…

机器学习 · 计算机科学 2014-07-15 Maria-Florina Balcan , Yingyu Liang , Pramod Gupta

Variational quantum algorithms have emerged as a leading paradigm that extracts practical computation from near-term intermediate-scale quantum devices, enabling advances in quantum chemistry simulations, combinatorial optimization, and…

量子物理 · 物理学 2026-02-24 Manish Mallapur , Ronit Raj , Ankur Raina

Matrix valued data has become increasingly prevalent in many applications. Most of the existing clustering methods for this type of data are tailored to the mean model and do not account for the dependence structure of the features, which…

机器学习 · 统计学 2023-12-07 Inbeom Lee , Siyi Deng , Yang Ning