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Even if path planning can be solved using standard techniques from dynamic programming and control, the problem can also be approached using probabilistic inference. The algorithms that emerge using the latter framework bear some appealing…

With the development of machine learning and Big Data, the concepts of linear and non-linear optimization techniques are becoming increasingly valuable for many quantitative disciplines. Problems of that nature are typically solved using…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 Wiktor Maj

Online discussion platforms are a vital part of the public discourse in a deliberative democracy. However, how to interpret the outcomes of the discussions on these platforms is often unclear. In this paper, we propose a novel and…

Computer Science and Game Theory · Computer Science 2024-02-09 Michael Bernreiter , Jan Maly , Oliviero Nardi , Stefan Woltran

Despite the growing body of work in interpretable machine learning, it remains unclear how to evaluate different explainability methods without resorting to qualitative assessment and user-studies. While interpretability is an inherently…

Machine Learning · Computer Science 2020-07-16 An-phi Nguyen , María Rodríguez Martínez

A worldwide movement towards the publication of Open Government Data is taking place, and budget data is one of the key elements pushing this trend. Its importance is mostly related to transparency, but publishing budget data, combined with…

Computers and Society · Computer Science 2015-04-08 Alan Freihof Tygel , Judie Attard , Fabrizio Orlandi , Maria Luiza Machado Campos , Sören Auer

Strategyproof mechanisms provide robust equilibrium with minimal assumptions about knowledge and rationality but can be unachievable in combination with other desirable properties such as budget-balance, stability against deviations by…

Computer Science and Game Theory · Computer Science 2012-05-14 Benjamin Lubin , David C. Parkes

We present a simple theoretical framework, and corresponding practical procedures, for comparing probabilistic models on real data in a traditional machine learning setting. This framework is based on the theory of proper scoring rules, but…

Machine Learning · Statistics 2015-02-13 Mithun Chakraborty , Sanmay Das , Allen Lavoie

We present a general framework for studying regularized estimators; such estimators are pervasive in estimation problems wherein "plug-in" type estimators are either ill-defined or ill-behaved. Within this framework, we derive, under…

Statistics Theory · Mathematics 2020-07-14 Michael Jansson , Demian Pouzo

We present a novel framework for estimation and inference with the broad class of universal approximators. Estimation is based on the decomposition of model predictions into Shapley values. Inference relies on analyzing the bias and…

Machine Learning · Statistics 2024-12-06 Andreas Joseph

In this paper, we describe an abstract framework and axioms under which exact local computation of marginals is possible. The primitive objects of the framework are variables and valuations. The primitive operators of the framework are…

Artificial Intelligence · Computer Science 2013-04-10 Prakash P. Shenoy , Glenn Shafer

The purpose of the paper is to introduce a new approach of planning called Assumption-Based Planning. This approach is a very interesting way to devise a planner based on a multi-agent system in which the production of a global shared plan…

Artificial Intelligence · Computer Science 2018-10-22 Damien Pellier , Humbert Fiorino

In broad applications, it is routinely of interest to assess whether there is evidence in the data to refute the assumption of conditional independence of $Y$ and $X$ conditionally on $Z$. Such tests are well developed in parametric models…

Methodology · Statistics 2015-03-25 Tsuyoshi Kunihama , David B. Dunson

The use of approximation is fundamental in computational science. Almost all computational methods adopt approximations in some form in order to obtain a favourable cost/accuracy trade-off and there are usually many approximations that…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-14 Michael A. Johnston , Vassilis Vassiliadis

We present a strategy-proof public goods budgeting mechanism where agents determine both the total volume of expanses and the specific allocation. It is constructed as a modification of VCG to a less typical environment, namely where we do…

Computer Science and Game Theory · Computer Science 2023-03-14 Jonathan Wagner , Reshef Meir

We study a participatory budgeting problem of aggregating the preferences of agents and dividing a budget over the projects. A budget division solution is a probability distribution over the projects. The main purpose of our study concerns…

Computer Science and Game Theory · Computer Science 2020-11-02 Zhongzheng Tang , Chenhao Wang , Mengqi Zhang

One of the main quests in quantum metrology, and quantum parameter estimation in general, is to find out the highest achievable precision with given resources and design schemes that attain that precision. In this article we present a…

Quantum Physics · Physics 2016-05-23 Haidong Yuan , Chi-Hang Fred Fung

This paper introduces Bayesian frameworks for tackling various aspects of multi-criteria decision-making (MCDM) problems, leveraging a probabilistic interpretation of MCDM methods and challenges. By harnessing the flexibility of Bayesian…

Artificial Intelligence · Computer Science 2025-08-08 Majid Mohammadi

This paper introduces an explanation framework designed to enhance the quality of rules in knowledge-based reasoning systems based on dataset-driven insights. The traditional method for rule induction from data typically requires…

Artificial Intelligence · Computer Science 2025-02-04 Oshani Seneviratne , Brendan Capuzzo , William Van Woensel

We present a safety verification framework for design-time and run-time assurance of learning-based components in aviation systems. Our proposed framework integrates two novel methodologies. From the design-time assurance perspective, we…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Ali Baheri , Hao Ren , Benjamin Johnson , Pouria Razzaghi , Peng Wei

A method for the multifidelity Monte Carlo (MFMC) estimation of statistical quantities is proposed which is applicable to computational budgets of any size. Based on a sequence of optimization problems each with a globally minimizing…

Numerical Analysis · Mathematics 2022-11-15 Anthony Gruber , Max Gunzburger , Lili Ju , Zhu Wang