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Molecular property prediction is gaining increasing attention due to its diverse applications. One task of particular interests and importance is to predict quantum chemical properties without 3D equilibrium structures. This is practically…

机器学习 · 计算机科学 2021-06-17 Meng Liu , Cong Fu , Xuan Zhang , Limei Wang , Yaochen Xie , Hao Yuan , Youzhi Luo , Zhao Xu , Shenglong Xu , Shuiwang Ji

On-line and batch learning of a perceptron in a discrete weight space, where each weight can take $2 L+1$ different values, are examined analytically and numerically. The learning algorithm is based on the training of the continuous…

统计力学 · 物理学 2009-11-07 Michal Rosen-Zvi , Ido Kanter

Pruning is a well-established technique for removing unnecessary structure from neural networks after training to improve the performance of inference. Several recent results have explored the possibility of pruning at initialization time…

机器学习 · 计算机科学 2020-09-29 Jonathan Frankle , Gintare Karolina Dziugaite , Daniel M. Roy , Michael Carbin

Prototypical part neural networks (ProtoPartNNs), namely PROTOPNET and its derivatives, are an intrinsically interpretable approach to machine learning. Their prototype learning scheme enables intuitive explanations of the form, this…

计算机视觉与模式识别 · 计算机科学 2023-09-27 Zachariah Carmichael , Suhas Lohit , Anoop Cherian , Michael Jones , Walter Scheirer

We investigate online network topology identification from smooth nodal observations acquired in a streaming fashion. Different from non-adaptive batch solutions, our distinctive goal is to track the (possibly) dynamic adjacency matrix with…

信号处理 · 电气工程与系统科学 2022-11-15 Seyed Saman Saboksayr , Gonzalo Mateos

This paper deals with a distributed Mixed-Integer Linear Programming (MILP) set-up arising in several control applications. Agents of a network aim to minimize the sum of local linear cost functions subject to both individual constraints…

最优化与控制 · 数学 2021-02-12 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

In the artificial neuron, I replace the dot product with the weighted Lehmer mean, which may emulate different cases of a generalized mean. The single neuron instance is replaced by a multiplet of neurons which have the same averaging…

机器学习 · 计算机科学 2020-06-03 Nathan E. Frick

The aim of this note is to construct a neural network for which the linear finite element approximation of a simple one dimensional boundary value problem is a minimum of the cost function to find out if the neural network is able to…

数值分析 · 数学 2024-05-20 Julia Novo , Eduardo Terrés

We survey recent work on machine learning (ML) techniques for selecting cutting planes (or cuts) in mixed-integer linear programming (MILP). Despite the availability of various classes of cuts, the task of choosing a set of cuts to add to…

最优化与控制 · 数学 2023-11-01 Arnaud Deza , Elias B. Khalil

We propose an adaptive scheme for distributed learning of nonlinear functions by a network of nodes. The proposed algorithm consists of a local adaptation stage utilizing multiple kernels with projections onto hyperslabs and a diffusion…

信号处理 · 电气工程与系统科学 2018-09-05 Ban-Sok Shin , Masahiro Yukawa , Renato Luis Garrido Cavalcante , Armin Dekorsy

Machine learning has made important headway in helping to improve the treatment of quantum many-body systems. A domain of particular relevance are correlated inhomogeneous systems. What has been missing so far is a general, scalable…

量子物理 · 物理学 2026-02-10 Alex Blania , Sandro Herbig , Fabian Dechent , Evert van Nieuwenburg , Florian Marquardt

Distance-based classifiers, such as k-nearest neighbors and support vector machines, continue to be a workhorse of machine learning, widely used in science and industry. In practice, to derive insights from these models, it is also…

机器学习 · 计算机科学 2026-05-05 Florian Bley , Jacob Kauffmann , Simon León Krug , Klaus-Robert Müller , Grégoire Montavon

In this paper, we show how a resource allocation problem can be solved through Integer Linear Programming (ILP). A detailed illustrative example is presented, together with an exhaustive overview of the mathematical model. The size of the…

分布式、并行与集群计算 · 计算机科学 2020-09-29 Filip De Turck

The underlying physics behind an experimental observation often lacks a simple analytical description. This is especially the case for scanning probe microscopy techniques, where the interaction between the probe and the sample is…

Artificial networks have been studied through the prism of statistical mechanics as disordered systems since the 80s, starting from the simple models of Hopfield's associative memory and the single-neuron perceptron classifier. Assuming…

无序系统与神经网络 · 物理学 2023-04-14 Marylou Gabrié , Surya Ganguli , Carlo Lucibello , Riccardo Zecchina

In real-world networks, predicting the weight (strength) of links is as crucial as predicting the existence of the links themselves. Previous studies have primarily used shallow graph features for link weight prediction, limiting the…

社会与信息网络 · 计算机科学 2024-10-29 Jinbi Liang , Cunlai Pu , Xiangbo Shu , Yongxiang Xia , Chengyi Xia

This paper proposes and illustrates a general framework to integrate the areas of vision research and complex networks. Each image pixel is associated to a network node and the Euclidean distance between the visual properties (e.g.…

统计力学 · 物理学 2007-05-23 Luciano da Fontoura Costa

A novel framework has recently been proposed for designing the molecular structure of chemical compounds with a desired chemical property, where design of novel drugs is an important topic in bioinformatics and chemo-informatics. The…

We apply an artificial neural network to model and verify material properties. The neural network algorithm has a unique capability to handle incomplete data sets in both training and predicting, so it can regard properties as inputs…

计算物理 · 物理学 2018-03-02 P. C. Verpoort , P. MacDonald , G. J. Conduit

Data-enabled predictive control (DeePC) for linear systems utilizes data matrices of recorded trajectories to directly predict new system trajectories, which is very appealing for real-life applications. In this paper we leverage the…

最优化与控制 · 数学 2024-12-20 Mircea Lazar