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We present a novel approach to help decision-makers efficiently identify preferred solutions from the Pareto set of a multi-objective optimization problem. Our method uses a Bayesian model to estimate the decision-maker's utility function…

机器学习 · 统计学 2025-11-13 Felix Huber , Sebastian Rojas Gonzalez , Raul Astudillo

Healthcare datasets present many challenges to both machine learning and statistics as their data are typically heterogeneous, censored, high-dimensional and have missing information. Feature selection is often used to identify the…

机器学习 · 计算机科学 2022-07-06 Annette Spooner , Gelareh Mohammadi , Perminder S. Sachdev , Henry Brodaty , Arcot Sowmya

Douglas-Rachford splitting and its equivalent dual formulation ADMM are widely used iterative methods in composite optimization problems arising in control and machine learning applications. The performance of these algorithms depends on…

最优化与控制 · 数学 2019-06-28 Jacob H. Seidman , Mahyar Fazlyab , Victor M. Preciado , George J. Pappas

This article aims to demonstrate and discuss the applications of automatic differentiation (AD) for finding derivatives in PDE-constrained optimization problems and Jacobians in non-linear finite element analysis. The main idea is to…

数值分析 · 数学 2025-06-03 Julian Andrej , Tzanio Kolev , Boyan Lazarov

In coming years residential consumers will face real-time electricity tariffs with energy prices varying day to day, and effective energy saving will require automation - a recommender system, which learns consumer's preferences from her…

机器学习 · 计算机科学 2017-02-01 Mikhail V. Goubko , Sergey O. Kuznetsov , Alexey A. Neznanov , Dmitry I. Ignatov

Most Relevant Explanation (MRE) is a method for finding multivariate explanations for given evidence in Bayesian networks [12]. This paper studies the theoretical properties of MRE and develops an algorithm for finding multiple top MRE…

人工智能 · 计算机科学 2012-05-14 Changhe Yuan , Xiaolu Liu , Tsai-Ching Lu , Heejin Lim

Accurate calibration of car-following models is essential for understanding human driving behaviors and implementing high-fidelity microscopic simulations. This work proposes a memory-augmented Bayesian calibration technique to capture both…

应用统计 · 统计学 2024-04-25 Chengyuan Zhang , Lijun Sun

Bayesian optimization is a methodology for global optimization of unknown and expensive objectives. It combines a surrogate Bayesian regression model with an acquisition function to decide where to evaluate the objective. Typical regression…

机器学习 · 计算机科学 2023-04-04 Afonso Eduardo , Michael U. Gutmann

The successes of deep learning, variational inference, and many other fields have been aided by specialized implementations of reverse-mode automatic differentiation (AD) to compute gradients of mega-dimensional objectives. The AD…

机器学习 · 计算机科学 2021-03-16 Deniz Oktay , Nick McGreivy , Joshua Aduol , Alex Beatson , Ryan P. Adams

In cases of uncertainty, a multi-class classifier preferably returns a set of candidate classes instead of predicting a single class label with little guarantee. More precisely, the classifier should strive for an optimal balance between…

机器学习 · 计算机科学 2020-05-28 Thomas Mortier , Marek Wydmuch , Krzysztof Dembczyński , Eyke Hüllermeier , Willem Waegeman

Bayesian optimization is a powerful tool for fine-tuning the hyper-parameters of a wide variety of machine learning models. The success of machine learning has led practitioners in diverse real-world settings to learn classifiers for…

机器学习 · 统计学 2015-02-24 Matt J. Kusner , Jacob R. Gardner , Roman Garnett , Kilian Q. Weinberger

Selective classification is a powerful tool for automated decision-making in high-risk scenarios, allowing classifiers to act only when confident and abstain when uncertainty is high. Given a target accuracy, our goal is to minimize…

统计理论 · 数学 2025-10-28 Mohamed Ndaoud , Peter Radchenko , Bradley Rava

We introduce an efficient and robust auto-tuning framework for hyperparameter selection in dimension reduction (DR) algorithms, focusing on large-scale datasets and arbitrary performance metrics. By leveraging Bayesian optimization (BO)…

机器学习 · 统计学 2023-06-02 Yin-Ting Liao , Hengrui Luo , Anna Ma

Inferring a decision maker's utility function typically involves an elicitation phase where the decision maker responds to a series of elicitation queries, followed by an estimation phase where the state-of-the-art is to either fit the…

应用统计 · 统计学 2018-07-31 Mengyang Gu , Debarun Bhattacharjya , Dharmashankar Subramanian

Discrete choice models are essential for modelling various decision-making processes in human behaviour. However, the specification of these models has depended heavily on domain knowledge from experts, and the fully automated but…

机器学习 · 计算机科学 2025-07-16 Fumiyasu Makinoshima , Tatsuya Mitomi , Fumiya Makihara , Eigo Segawa

Precision medicine stands as a transformative approach in healthcare, offering tailored treatments that can enhance patient outcomes and reduce healthcare costs. As understanding of complex disease improves, clinical trials are being…

统计方法学 · 统计学 2024-05-15 Lara Maleyeff , Shirin Golchi , Erica E. M. Moodie , Marie Hudson

Aligning AI systems to users' interests requires understanding and incorporating humans' complex values and preferences. Recently, language models (LMs) have been used to gather information about the preferences of human users. This…

计算与语言 · 计算机科学 2024-03-11 Kunal Handa , Yarin Gal , Ellie Pavlick , Noah Goodman , Jacob Andreas , Alex Tamkin , Belinda Z. Li

A recent line of work, starting with Beigman and Vohra (2006) and Zadimoghaddam and Roth (2012), has addressed the problem of {\em learning} a utility function from revealed preference data. The goal here is to make use of past data…

计算机科学与博弈论 · 计算机科学 2014-07-31 Maria-Florina Balcan , Amit Daniely , Ruta Mehta , Ruth Urner , Vijay V. Vazirani

If uncertainty is modelled by a probability measure, decisions are typically made by choosing the option with the highest expected utility. If an imprecise probability model is used instead, this decision rule can be generalised in several…

人工智能 · 计算机科学 2020-03-27 Jasper De Bock

Discrete decision tasks in machine learning exhibit a fundamental misalignment between training and inference: models are optimized with continuous-valued outputs but evaluated using discrete predictions. This misalignment arises from the…

计算机视觉与模式识别 · 计算机科学 2025-12-24 Hao Shu