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Risk scores are simple classification models that let users make quick risk predictions by adding and subtracting a few small numbers. These models are widely used in medicine and criminal justice, but are difficult to learn from data…

Machine Learning · Statistics 2020-10-21 Berk Ustun , Cynthia Rudin

Risk scores are an interpretable and actionable class of machine learning models with applications in medicine, insurance, and risk management. Unlike most computational methods, risk scores are designed to be computed by a human by…

Machine Learning · Computer Science 2026-05-05 Costa Georgantas , Jonas Richiardi

Many clinical risk scores are deployed as additive rules with nonnegative integer points assigned to relevant binary predictive features. These integer weights not only make the score easier to use in practice but also promote sparsity in…

Methodology · Statistics 2026-05-20 Ying Cui , Albert M Li , Vivek Charu , Yeon-Mi Hwang , Tina Hernandez-Boussard , Lu Tian

Inherent risk scoring is an important function in anti-money laundering, used for determining the riskiness of an individual during onboarding $\textit{before}$ fraudulent transactions occur. It is, however, often fraught with two…

Machine Learning · Computer Science 2018-12-02 W. Ronny Huang , Miguel A. Perez

In this paper, we propose a novel Mixed-Integer Non-Linear Optimization formulation to construct a risk score, where we optimize the logistic loss with sparsity constraints. Previous approaches are typically designed to handle binary…

Optimization and Control · Mathematics 2025-02-13 Cristina Molero-Río , Claudia D'Ambrosio

Risk scoring systems are widely used in high-stakes domains to assist decision-making. However, existing approaches often focus on optimizing predictive accuracy or likelihood-based criteria, which may not align with the main goal of…

Machine Learning · Computer Science 2026-04-07 Wenhao Chi , Ş. İlker Birbil

Scoring systems are linear classification models that only require users to add or subtract a few small numbers in order to make a prediction. They are used for example by clinicians to assess the risk of medical conditions. This work…

Human-Computer Interaction · Computer Science 2019-12-02 Hans-Jürgen Profitlich , Daniel Sonntag

Uncertainty is prevalent in engineering design, data-driven problems, and decision making broadly. Due to inherent risk-averseness and ambiguity about assumptions, it is common to address uncertainty by formulating and solving conservative…

Optimization and Control · Mathematics 2024-04-05 Johannes O. Royset

Prediction of mortality in intensive care unit (ICU) patients typically relies on black box models (that are unacceptable for use in hospitals) or hand-tuned interpretable models (that might lead to the loss in performance). We aim to…

Machine Learning · Computer Science 2025-01-09 Chloe Qinyu Zhu , Muhang Tian , Lesia Semenova , Jiachang Liu , Jack Xu , Joseph Scarpa , Cynthia Rudin

Score-based diffusion models provide a powerful way to model images using the gradient of the data distribution. Leveraging the learned score function as a prior, here we introduce a way to sample data from a conditional distribution given…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Hyungjin Chung , Jong Chul Ye

We develop a family of accelerated stochastic algorithms that minimize sums of convex functions. Our algorithms improve upon the fastest running time for empirical risk minimization (ERM), and in particular linear least-squares regression,…

Machine Learning · Statistics 2015-06-25 Roy Frostig , Rong Ge , Sham M. Kakade , Aaron Sidford

Medical decision-making makes frequent use of algorithms that combine risk equations with rules, providing clear and standardized treatment pathways. Symbolic regression (SR) traditionally limits its search space to continuous function…

Despite the tremendous advances achieved over the past years by deep learning techniques, the latest risk prediction models for industrial applications still rely on highly handtuned stage-wised statistical learning tools, such as gradient…

Machine Learning · Computer Science 2023-08-08 Yancheng Liang , Jiajie Zhang , Hui Li , Xiaochen Liu , Yi Hu , Yong Wu , Jinyao Zhang , Yongyan Liu , Yi Wu

The l1-regularized logistic regression (or sparse logistic regression) is a widely used method for simultaneous classification and feature selection. Although many recent efforts have been devoted to its efficient implementation, its…

Machine Learning · Computer Science 2013-07-22 Jie Wang , Jiayu Zhou , Jun Liu , Peter Wonka , Jieping Ye

We present the design and implementation of a custom discrete optimization technique for building rule lists over a categorical feature space. Our algorithm produces rule lists with optimal training performance, according to the regularized…

Machine Learning · Statistics 2018-08-07 Elaine Angelino , Nicholas Larus-Stone , Daniel Alabi , Margo Seltzer , Cynthia Rudin

Advancements in medical informatics tools and high-throughput biological experimentation make large-scale biomedical data routinely accessible to researchers. Competing risks data are typical in biomedical studies where individuals are at…

Computation · Statistics 2021-11-30 Eric S Kawaguchi , Jenny I Shen , Gang Li , Marc A Suchard

We present fast classification techniques for sparse generalized linear and additive models. These techniques can handle thousands of features and thousands of observations in minutes, even in the presence of many highly correlated…

Machine Learning · Computer Science 2022-11-01 Jiachang Liu , Chudi Zhong , Margo Seltzer , Cynthia Rudin

Scoring systems are classification models that only require users to add, subtract and multiply a few meaningful numbers to make a prediction. These models are often used because they are practical and interpretable. In this paper, we…

Machine Learning · Statistics 2014-04-14 Berk Ustun , Stefano Tracà , Cynthia Rudin

Recent work on algorithmic fairness has largely focused on the fairness of discrete decisions, or classifications. While such decisions are often based on risk score models, the fairness of the risk models themselves has received…

Machine Learning · Computer Science 2023-02-24 Eike Petersen , Melanie Ganz , Sune Hannibal Holm , Aasa Feragen

In this work, we present a novel, machine-learning approach for constructing Multiclass Interpretable Scoring Systems (MISS) - a fully data-driven methodology for generating single, sparse, and user-friendly scoring systems for multiclass…

Machine Learning · Computer Science 2024-01-11 Michal K. Grzeszczyk , Tomasz Trzciński , Arkadiusz Sitek
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