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Quantifying robustness in a single measure for the purposes of model selection, development of adversarial training methods, and anticipating trends has so far been elusive. The simplest metric to consider is the number of trainable…

Machine Learning · Computer Science 2024-10-25 David Khachaturov , Robert Mullins

To increase statistical efficiency in a randomized experiment, researchers often use stratification (i.e., blocking) in the design stage. However, conventional practices of stratification fail to exploit valuable information about the…

Methodology · Statistics 2025-10-28 Zikai Li

Distance metric learning has attracted much attention in recent years, where the goal is to learn a distance metric based on user feedback. Conventional approaches to metric learning mainly focus on learning the Mahalanobis distance metric…

Machine Learning · Computer Science 2020-11-10 Zhongfang Zhuang , Xiangnan Kong , Elke Rundensteiner , Jihane Zouaoui , Aditya Arora

In the field of statistical learning and data analysis, estimating precision matrices (i.e., the inverse of covariance matrices) is a critical task, particularly for understanding dependency structures among variables. However, traditional…

Methodology · Statistics 2026-05-15 Zhongfeng Qin , Hao Xu , Wenhao Cui , Wan Tian

Representation learning is a fundamental task in machine learning, aiming at uncovering structures from data to facilitate subsequent tasks. However, what is a good representation for planning and reasoning in a stochastic world remains an…

Machine Learning · Computer Science 2024-03-19 Meng Song

With growing capabilities of large language models, prompting them has become the dominant way to access them. This has motivated the development of strategies for automatically selecting effective language prompts. In this paper, we…

Computation and Language · Computer Science 2023-10-24 Lingfeng Shen , Weiting Tan , Boyuan Zheng , Daniel Khashabi

This article explores the extension of well-known F1 score used for assessing the performance of binary classifiers. We propose the new metric using probabilistic interpretation of precision, recall, specificity, and negative predictive…

Machine Learning · Computer Science 2024-04-17 Mikolaj Sitarz

Sensitivity analysis is widely used to assess the robustness of causal conclusions in observational studies, yet its interaction with the structure of measured covariates is often overlooked. When latent confounders cannot be directly…

Methodology · Statistics 2026-02-17 Abhinandan Dalal , Iris Horng , Yang Feng , Dylan S. Small

This paper introduces a novel Choquet distance using fuzzy rough set based measures. The proposed distance measure combines the attribute information received from fuzzy rough set theory with the flexibility of the Choquet integral. This…

Machine Learning · Computer Science 2025-02-18 Adnan Theerens , Chris Cornelis

The human visual system is able to recognize objects despite transformations that can drastically alter their appearance. To this end, much effort has been devoted to the invariance properties of recognition systems. Invariance can be…

Machine Learning · Computer Science 2014-12-08 Weiguang Ding , Graham W. Taylor

Contraction analysis considers the distance between two adjacent trajectories. If this distance is contracting, then trajectories have the same long-term behavior. The main advantage of this analysis is that it is independent of the…

Dynamical Systems · Mathematics 2022-03-04 Peter Giesl , Sigurdur Hafstein , Christoph Kawan

Metric-based meta-learning has attracted a lot of attention due to its effectiveness and efficiency in few-shot learning. Recent studies show that metric scaling plays a crucial role in the performance of metric-based meta-learning…

Machine Learning · Computer Science 2020-08-27 Jiaxin Chen , Li-Ming Zhan , Xiao-Ming Wu , Fu-lai Chung

High-dimensional data acquired from biological experiments such as next generation sequencing are subject to a number of confounding effects. These effects include both technical effects, such as variation across batches from instrument…

Machine Learning · Computer Science 2018-12-11 Kabir Manghnani , Adam Drake , Nathan Wan , Imran Haque

Although speckle is a powerful tool for high-precision metrology, large datasets and cumbersome training are always required to learn from the encoded speckle patterns, which is unfavorable for rapid deployment and multi-dimensional…

Despite the huge spread and economical importance of configurable software systems, there is unsatisfactory support in utilizing the full potential of these systems with respect to finding performance-optimal configurations. Prior work on…

Software Engineering · Computer Science 2017-09-19 Vivek Nair , Tim Menzies , Norbert Siegmund , Sven Apel

Quantifying similarity between data objects is an important part of modern data science. Deciding what similarity measure to use is very application dependent. In this paper, we combine insights from systems theory and machine learning, and…

Systems and Control · Computer Science 2018-03-09 Oliver Lauwers , Bart De Moor

Fully symmetric learning rules for principal component analysis can be derived from a novel objective function suggested in our previous work. We observed that these learning rules suffer from slow convergence for covariance matrices where…

Machine Learning · Statistics 2020-07-21 Ralf Möller

The aim of this thesis is to find a solution to the non-parametric independence problem in separable metric spaces. Suppose we are given finite collection of samples from an i.i.d. sequence of paired random elements, where each marginal has…

Statistics Theory · Mathematics 2017-06-13 Martin Emil Jakobsen

The propensity score analysis is one of the most widely used methods for studying the causal treatment effect in observational studies. This paper studies treatment effect estimation with the method of matching weights. This method…

Methodology · Statistics 2011-05-17 Liang Li

A sensitivity analysis in an observational study assesses the robustness of significant findings to unmeasured confounding. While sensitivity analyses in matched observational studies have been well addressed when there is a single outcome…

Methodology · Statistics 2015-11-05 Colin B. Fogarty , Dylan S. Small