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A common approach for feature selection is to examine the variable importance scores for a machine learning model, as a way to understand which features are the most relevant for making predictions. Given the significance of feature…

Machine Learning · Computer Science 2021-05-13 Jack Dunn , Luca Mingardi , Ying Daisy Zhuo

We present a comprehensive framework for applying rigorous statistical techniques from econometrics to analyze and improve machine learning systems. We introduce key statistical methods such as Ordinary Least Squares (OLS) regression,…

Machine Learning · Computer Science 2024-10-03 Michaël Soumm

In an interlaboratory key comparison, a data analysis procedure for this comparison was proposed and recommended by CIPM [1, 2, 3], therein the degrees of equivalence of measurement standards of the laboratories participated in the…

Other Statistics · Statistics 2011-12-14 Thang H. Le , Nguyen D. Do

A popular approach to significance testing proposes to decide whether the given hypothesized statistical model is likely to be true (or false). Statistical decision theory provides a basis for this approach by requiring every significance…

Methodology · Statistics 2013-01-08 William Perkins , Mark Tygert , Rachel Ward

Battiston et al. (arXiv:2110.06023) provide a comprehensive overview of how investigations of complex systems should take into account interactions between more than two elements, which can be modelled by hypergraphs and studied via…

Items in a test are often used as a basis for making decisions and such tests are therefore required to have good psychometric properties, like unidimensionality. In many cases the sum score is used in combination with a threshold to decide…

Methodology · Statistics 2020-07-14 Lourens Waldorp , Maarten Marsman , Denny Borsboom

Benchmark scenarios are widely used in transportation research to evaluate routing algorithms, simulate infrastructure interventions, and test new technologies under controlled conditions. However, the structural and behavioral fidelity of…

Computational Engineering, Finance, and Science · Computer Science 2025-08-11 Chen Zhang , Timothy LaRock , Alben Rome Bagabaldo , Jürgen Hackl

Machine learning (ML) has recently created many new success stories. Hence, there is a strong motivation to use ML technology in software-intensive systems, including safety-critical systems. This raises the issue of safety verification of…

Software Engineering · Computer Science 2020-07-01 Hermann Kaindl , Stefan Kramer

Importance weighted variational inference (Burda et al., 2015) uses multiple i.i.d. samples to have a tighter variational lower bound. We believe a joint proposal has the potential of reducing the number of redundant samples, and introduce…

Machine Learning · Computer Science 2019-05-14 Chin-Wei Huang , Kris Sankaran , Eeshan Dhekane , Alexandre Lacoste , Aaron Courville

Complex problems may require sophisticated, non-linear learning methods such as kernel machines or deep neural networks to achieve state of the art prediction accuracies. However, high prediction accuracies are not the only objective to…

Artificial Intelligence · Computer Science 2016-11-24 Marina M. -C. Vidovic , Nico Görnitz , Klaus-Robert Müller , Marius Kloft

This work is motivated by learning the individualized minimal clinically important difference, a vital concept to assess clinical importance in various biomedical studies. We formulate the scientific question into a high-dimensional…

Methodology · Statistics 2023-03-28 Huijie Feng , Jingyi Duan , Yang Ning , Jiwei Zhao

When developing a safety-critical system it is essential to obtain an assessment of different design alternatives. In particular, an early safety assessment of the architectural design of a system is desirable. In spite of the plethora of…

Software Engineering · Computer Science 2011-07-07 Florian Leitner-Fischer , Stefan Leue

Mathematical reasoning tasks pose significant challenges for large language models (LLMs) because they require precise logical deduction and sequence analysis. In this work, we introduce the concept of critical tokens -- elements within…

Computation and Language · Computer Science 2025-01-14 Zicheng Lin , Tian Liang , Jiahao Xu , Qiuzhi Lin , Xing Wang , Ruilin Luo , Chufan Shi , Siheng Li , Yujiu Yang , Zhaopeng Tu

Sensitivity analysis plays an important role in the understanding of complex models. It helps to identify influence of input parameters in relation to the outputs. It can be also a tool to understand the behavior of the model and then can…

Computational Engineering, Finance, and Science · Computer Science 2013-01-01 David Garcia Sanchez , Bruno Lacarrière , Marjorie Musy , Bernard Bourges

Many studies in economics deal with the non-reliability cost to assess insurance fees or investment analyses, but none takes into consideration the mechanical aspect of reliability analysis. Other studies in mechanics give some tools and…

Risk Management · Quantitative Finance 2019-12-16 P-J. Tisserand , M. Ragueneau

Higher-order functions and imperative states are language features supported by many mainstream languages. Their combination is expressive and useful, but complicates specification and reasoning, due to the use of yet-to-be-instantiated…

Programming Languages · Computer Science 2024-07-03 Darius Foo , Yahui Song , Wei-Ngan Chin

Robotic cell injection is used for automatically delivering substances into a cell and is an integral component of drug development, genetic engineering and many other areas of cell biology. Traditionally, the correctness of functionality…

Logic in Computer Science · Computer Science 2018-07-20 Adnan Rashid , Osman Hasan

This report describes three particular technological advances in formal proofs. The HOL Light proof assistant will be used to illustrate the design of a highly reliable system. Today, proof assistants can verify large bodies of advanced…

Logic in Computer Science · Computer Science 2014-08-28 Thomas C. Hales

Large Language Models (LLMs) have shown impressive performance in mathematical reasoning tasks when guided by Chain-of-Thought (CoT) prompting. However, they tend to produce highly confident yet incorrect outputs, which poses significant…

Machine Learning · Computer Science 2025-06-11 Zhenjiang Mao , Artem Bisliouk , Rohith Reddy Nama , Ivan Ruchkin

While the capabilities and utility of AI systems have advanced, rigorous norms for evaluating these systems have lagged. Grand claims, such as models achieving general reasoning capabilities, are supported with model performance on narrow…