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We propose a new approach for building recommender systems by adapting surrogate-assisted interactive genetic algorithms. A pool of user-evaluated items is used to construct an approximative model which serves as a surrogate fitness…

神经与进化计算 · 计算机科学 2019-08-09 Thomas Gabor , Philipp Altmann

We introduce a method to construct a stochastic surrogate model from the results of dimensionality reduction in forward uncertainty quantification. The hypothesis is that the high-dimensional input augmented by the output of a computational…

应用统计 · 统计学 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang

It is not uncommon that meta-heuristic algorithms contain some intrinsic parameters, the optimal configuration of which is crucial for achieving their peak performance. However, evaluating the effectiveness of a configuration is expensive,…

神经与进化计算 · 计算机科学 2019-02-01 Ke Li , Zilin Xiang , Kay Chen Tan

Evaluation metrics in machine learning are often hardly taken as loss functions, as they could be non-differentiable and non-decomposable, e.g., average precision and F1 score. This paper aims to address this problem by revisiting the…

机器学习 · 计算机科学 2022-03-01 Tao Huang , Zekang Li , Hua Lu , Yong Shan , Shusheng Yang , Yang Feng , Fei Wang , Shan You , Chang Xu

A heuristic formula for 5-point approximation of the first derivative of an unknown function whose values are measured with an error at unequally spaced points is proposed. The derivative at a given point is calculated using the effective…

数据分析、统计与概率 · 物理学 2022-09-14 Emmanuil Beygelzimer , Yan Beygelzimer

To address the challenges of reliability analysis in high-dimensional probability spaces, this paper proposes a new metamodeling method that couples active subspace, heteroscedastic Gaussian process, and active learning. The active subspace…

应用统计 · 统计学 2024-04-11 Jungho Kim , Ziqi Wang , Junho Song

We evaluate some methods designed for tensor- (or data-) based multivariate model construction (approximation and compression). To this aim, a collection of multivariate functions and an evaluation methodology are suggested. First, these…

Thanks to computing power increase, the certification and the conception of complex systems relies more and more on simulation. To this end, predictive codes are needed, which have generally to be evaluated in a huge number of input points.…

统计方法学 · 统计学 2017-12-06 Sophie Marque-Pucheu , Guillaume Perrin , Josselin Garnier

This paper presents a physics and data co-driven surrogate modeling method for efficient rare event simulation of civil and mechanical systems with high-dimensional input uncertainties. The method fuses interpretable low-fidelity physical…

统计计算 · 统计学 2024-05-10 Jianhua Xian , Ziqi Wang

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

机器学习 · 统计学 2019-01-16 Yibo Yang , Paris Perdikaris

Creating artificial intelligence (AI) systems capable of demonstrating lifelong learning is a fundamental challenge, and many approaches and metrics have been proposed to analyze algorithmic properties. However, for existing lifelong…

机器学习 · 计算机科学 2022-08-01 Corban Rivera , Chace Ashcraft , Alexander New , James Schmidt , Gautam Vallabha

We introduce a novel choice dataset, called joint choice, in which options and menus are multidimensional. In this general setting, we define a notion of choice separability, which requires that selections from some dimensions are never…

理论经济学 · 经济学 2025-09-09 Davide Carpentiere , Alfio Giarlotta , Angelo Petralia , Ester Sudano

Evolutionary illumination is a recent technique that allows producing many diverse, optimal solutions in a map of manually defined features. To support the large amount of objective function evaluations, surrogate model assistance was…

神经与进化计算 · 计算机科学 2017-03-30 Alexander Hagg

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

最优化与控制 · 数学 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

Machine learning is rapidly making its path into natural sciences, including high-energy physics. We present the first study that infers, directly from experimental data, a functional form of fragmentation functions. The latter represent a…

高能物理 - 唯象学 · 物理学 2025-01-14 Nour Makke , Sanjay Chawla

We propose to approximate the conditional expectation of a spatial random variable given its nearest-neighbour observations by an additive function. The setting is meaningful in practice and requires no unilateral ordering. It is capable of…

统计理论 · 数学 2016-03-28 Zudi Lu , Arvid Lundervold , Dag Tjøstheim , Qiwei Yao

Adding interpretability to multivariate methods creates a powerful synergy for exploring complex physical systems with higher order correlations while bringing about a degree of clarity in the underlying dynamics of the system.

高能物理 - 唯象学 · 物理学 2022-05-04 Christophe Grojean , Ayan Paul , Zhuoni Qian , Inga Strümke

Simulating physical systems is a core component of scientific computing, encompassing a wide range of physical domains and applications. Recently, there has been a surge in data-driven methods to complement traditional numerical simulations…

机器学习 · 计算机科学 2021-08-19 Karl Otness , Arvi Gjoka , Joan Bruna , Daniele Panozzo , Benjamin Peherstorfer , Teseo Schneider , Denis Zorin

Optimization problems with nonlinear cost functions and combinatorial constraints appear in many real-world applications but remain challenging to solve efficiently compared to their linear counterparts. To bridge this gap, we propose…

机器学习 · 计算机科学 2023-07-20 Aaron Ferber , Taoan Huang , Daochen Zha , Martin Schubert , Benoit Steiner , Bistra Dilkina , Yuandong Tian

We consider an additive partially linear framework for modelling massive heterogeneous data. The major goal is to extract multiple common features simultaneously across all sub-populations while exploring heterogeneity of each…

统计方法学 · 统计学 2019-01-01 Binhuan Wang , Yixin Fang , Heng Lian , Hua Liang