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Large-scale optimization problems are ubiquitous in the physical sciences; yet, high-fidelity models can often be complex and computationally prohibitive for optimization. A practical alternative is to use a low-fidelity model to facilitate…

Numerical Analysis · Mathematics 2026-04-03 Madhusudan Madhavan , Joseph Hart , Bart van Bloemen Waanders

Greedy algorithms are widely used for problems in machine learning such as feature selection and set function optimization. Unfortunately, for large datasets, the running time of even greedy algorithms can be quite high. This is because for…

Machine Learning · Statistics 2017-03-09 Rajiv Khanna , Ethan Elenberg , Alexandros G. Dimakis , Sahand Negahban , Joydeep Ghosh

Bayesian experimental design involves the optimal allocation of resources in an experiment, with the aim of optimising cost and performance. For implicit models, where the likelihood is intractable but sampling from the model is possible,…

Machine Learning · Statistics 2019-02-26 Steven Kleinegesse , Michael Gutmann

We develop a set of algorithms to solve a broad class of Design of Experiment (DoE) problems efficiently. Specifically, we consider problems in which one must choose a subset of polymers to test in experiments such that the learning of the…

Quantitative Methods · Quantitative Biology 2024-08-06 Swagatam Mukhopadhyay

When, in terms of the number of data points, the size of a dataset exceeds available computing resources, or when labeling is expensive, an attractive solution consists of selecting only some of the data points (subdata) for further…

Methodology · Statistics 2026-04-28 Min Yang , Wei Zheng , John Stufken , Ming-Chung Chang , Ting Tian , Xueqin Wang

Artificial synthesis of DNA molecules is an essential part of the study of biological mechanisms. The design of a synthetic DNA molecule usually involves many objectives. One of the important objectives is to eliminate short sequence…

Biomolecules · Quantitative Biology 2021-08-13 Zehavit Leibovich , Ilan Gronau

Many computer vision and medical imaging problems are faced with learning from large-scale datasets, with millions of observations and features. In this paper we propose a novel efficient learning scheme that tightens a sparsity constraint…

Machine Learning · Statistics 2017-02-07 Adrian Barbu , Yiyuan She , Liangjing Ding , Gary Gramajo

Feature selection is frequently used as a pre-processing step to machine learning. It is a process of choosing a subset of original features so that the feature space is optimally reduced according to a certain evaluation criterion. The…

Computer Vision and Pattern Recognition · Computer Science 2014-01-07 Vijendra Singh , Shivani Pathak

The tasks of designing RNAs are discrete optimization problems, and several versions of these problems are NP-hard. As an alternative to commonly used local search methods, we formulate these problems as continuous optimization and develop…

Biomolecules · Quantitative Biology 2024-03-04 Ning Dai , Wei Yu Tang , Tianshuo Zhou , David H. Mathews , Liang Huang

Existing tests for factorial designs in the nonparametric case are based on hypotheses formulated in terms of distribution functions. Typical null hypotheses, however, are formulated in terms of some parameters or effect measures,…

Methodology · Statistics 2016-10-28 Edgar Brunner , Frank Konietschke , Markus Pauly , Madan L. Puri

Coreset selection is powerful in reducing computational costs and accelerating data processing for deep learning algorithms. It strives to identify a small subset from large-scale data, so that training only on the subset practically…

Machine Learning · Computer Science 2024-03-01 Xiaobo Xia , Jiale Liu , Shaokun Zhang , Qingyun Wu , Hongxin Wei , Tongliang Liu

Designing new optical systems from the ground up for microscopy imaging tasks such as phase retrieval, requires substantial scientific expertise and creativity. To augment the traditional design process, we propose differentiable microscopy…

Adaptive sample size re-estimation, early stopping, and trial re-design at interim analyses can reduce expected sample sizes in randomised trials. Cluster randomised trials, in which groups of participants are randomly allocated to…

Methodology · Statistics 2026-03-09 Samuel I. Watson , James Martin

Data dimension reduction (DDR) is all about mapping data from high dimensions to low dimensions, various techniques of DDR are being used for image dimension reduction like Random Projections, Principal Component Analysis (PCA), the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Wisal Khan , Muhammad Turab , Waqas Ahmad , Syed Hasnat Ahmad , Kelash Kumar , Bin Luo

Parameterizing by the largest processing time $p_{max}$ and the number of different job processing times $d$, we propose a proximity technique for High-Multiplicity Scheduling on Uniform Machines for the objectives Makespan Minimization…

Data Structures and Algorithms · Computer Science 2024-09-24 Hauke Brinkop , David Fischer , Klaus Jansen

Self-assembly of complex and functional materials remains a grand challenge in soft material science. Efficient assembly depends on a delicate balance between thermodynamic and kinetic effects, requiring fine-tuning affinities and…

Soft Condensed Matter · Physics 2024-11-14 Wei-Shao Wei , Anthony Trubiano , Christian Sigl , Stefan Paquay , Hendrik Dietz , Michael F. Hagan , Seth Fraden

This paper proposes a hierarchical approximate-factor approach to analyzing high-dimensional, large-scale heterogeneous time series data using distributed computing. The new method employs a multiple-fold dimension reduction procedure using…

Methodology · Statistics 2022-04-20 Zhaoxing Gao , Ruey S. Tsay

For biological experiments aiming at calibrating models with unknown parameters, a good experimental design is crucial, especially for those subject to various constraints, such as financial limitations, time consumption and physical…

Applications · Statistics 2014-07-22 Xiao Lin , Gabriel Terejanu

Experimental design is a classical statistics problem and its aim is to estimate an unknown $m$-dimensional vector $\beta$ from linear measurements where a Gaussian noise is introduced in each measurement. For the combinatorial experimental…

Machine Learning · Statistics 2024-12-06 Mohit Singh , Weijun Xie

Fabrication process variations are a major source of yield degradation in the nano-scale design of integrated circuits (IC), microelectromechanical systems (MEMS) and photonic circuits. Stochastic spectral methods are a promising technique…

Computational Engineering, Finance, and Science · Computer Science 2016-11-08 Zheng Zhang , Tsui-Wei Weng , Luca Daniel