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This report showcases the role of, and future directions for, the field of Randomized Numerical Linear Algebra (RNLA) in a selection of scientific applications. These applications span the domains of imaging, genomics and dynamical systems,…

We propose a probabilistic way for reducing the cost of classical projection-based model order reduction methods for parameter-dependent linear equations. A reduced order model is here approximated from its random sketch, which is a set of…

数值分析 · 数学 2020-05-19 Oleg Balabanov , Anthony Nouy

Simulated annealing (SA) is a stochastic global optimisation technique applicable to a wide range of discrete and continuous variable problems. Despite its simplicity, the development of an effective SA optimiser for a given problem hinges…

机器学习 · 计算机科学 2024-06-27 Alvaro H. C. Correia , Daniel E. Worrall , Roberto Bondesan

Subgradient algorithms for training support vector machines have been quite successful for solving large-scale and online learning problems. However, they have been restricted to linear kernels and strongly convex formulations. This paper…

机器学习 · 计算机科学 2011-11-04 Sangkyun Lee , Stephen J. Wright

Bayesian Optimization is a popular tool for tuning algorithms in automatic machine learning (AutoML) systems. Current state-of-the-art methods leverage Random Forests or Gaussian processes to build a surrogate model that predicts algorithm…

机器学习 · 计算机科学 2021-01-08 Jeroen van Hoof , Joaquin Vanschoren

We propose to solve a label ranking problem as a structured output regression task. We adopt a least square surrogate loss approach that solves a supervised learning problem in two steps: the regression step in a well-chosen feature space…

机器学习 · 统计学 2018-07-09 Anna Korba , Alexandre Garcia , Florence d'Alché Buc

The deployment of large language models (LLMs) is often constrained by their substantial computational and memory demands. While structured pruning presents a viable approach by eliminating entire network components, existing methods suffer…

机器学习 · 计算机科学 2025-05-07 Hanyu Hu , Xiaoming Yuan

In recent years, the development of diffusion models has led to significant progress in image and video generation tasks, with pre-trained models like the Stable Diffusion series playing a crucial role. Inspired by model pruning which…

计算机视觉与模式识别 · 计算机科学 2025-04-03 Teng Hu , Jiangning Zhang , Ran Yi , Hongrui Huang , Yabiao Wang , Lizhuang Ma

NDCG, namely Normalized Discounted Cumulative Gain, is a widely used ranking metric in information retrieval and machine learning. However, efficient and provable stochastic methods for maximizing NDCG are still lacking, especially for deep…

机器学习 · 计算机科学 2023-02-03 Zi-Hao Qiu , Quanqi Hu , Yongjian Zhong , Lijun Zhang , Tianbao Yang

Multidisciplinary design optimization methods aim at adapting numerical optimization techniques to the design of engineering systems involving multiple disciplines. In this context, a large number of mixed continuous, integer and…

We introduce the concept of decision-focused surrogate modeling for solving computationally challenging nonlinear optimization problems in real-time settings. The proposed data-driven framework seeks to learn a simpler, e.g. convex,…

最优化与控制 · 数学 2023-12-27 Rishabh Gupta , Qi Zhang

Optimization plays an important role in chemical engineering, impacting cost-effectiveness, resource utilization, product quality, and process sustainability metrics. This chapter broadly focuses on data-driven optimization, particularly,…

This survey describes probabilistic algorithms for linear algebra computations, such as factorizing matrices and solving linear systems. It focuses on techniques that have a proven track record for real-world problem instances. The paper…

数值分析 · 数学 2021-03-17 Per-Gunnar Martinsson , Joel Tropp

Designing a high-quality plasma injector electron source driven by a laser beam relies on numerical parametric studies using particle-in-cell codes. The common input parameters to explore are laser characteristics, plasma species and…

等离子体物理 · 物理学 2025-10-16 G. Kane , P. Drobniak , S. Kazamias , V. Kubytskyi , M. Lenivenko , B. Lucas , J. Serhal , K. Cassou , A. Beck , A. Specka , F. Massimo

Deep-learning inverse techniques have attracted significant attention in recent years. Among them, the neural adjoint (NA) method, which employs a neural network surrogate simulator, has demonstrated impressive performance in the design…

材料科学 · 物理学 2023-11-20 Akihiro Fujii , Hideki Tsunashima , Yoshihiro Fukuhara , Koji Shimizu , Satoshi Watanabe

In this contribution we present an accelerated optimization-based approach for combined state and parameter reduction of a parametrized linear control system which is then used as a surrogate model in a Bayesian inverse setting. Following…

最优化与控制 · 数学 2016-08-22 Christian Himpe , Mario Ohlberger

We present a hybrid sampling-surrogate approach for reducing the computational expense of uncertainty quantification in nonlinear dynamical systems. Our motivation is to enable rapid uncertainty quantification in complex mechanical systems…

统计计算 · 统计学 2022-01-27 Hang Yang , Yuji Fujii , K. W. Wang , Alex A. Gorodetsky

In NeuroEvolution, the topologies of artificial neural networks are optimized with evolutionary algorithms to solve tasks in data regression, data classification, or reinforcement learning. One downside of NeuroEvolution is the large amount…

神经与进化计算 · 计算机科学 2019-02-12 Jörg Stork , Martin Zaefferer , Thomas Bartz-Beielstein

This paper addresses the Service Network Design (SND) problem for a logistics service provider (LSP) operating in a multimodal freight transport network, considering uncertain travel times and limited truck fleet availability. A two-stage…

最优化与控制 · 数学 2026-03-27 Javier Durán-Micco , Bilge Atasoy

Accurate surrogate construction for PDE-driven high-dimensional rare-event simulation is challenging when performance evaluations are expensive. Since a globally accurate surrogate may require many high-fidelity evaluations, adaptive…

数值分析 · 数学 2026-05-18 Zhiwei Gao , George Karniadakis