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This paper reports a modified axiomatic foundation of the analytic hierarchy process (AHP), where the reciprocal property of paired comparisons is broken. The novel concept of reciprocal symmetry breaking is proposed to characterize the…

信息论 · 计算机科学 2021-08-05 Fang Liu , Wei-Guo Zhang

Rankings are central to decision-making in fields ranging from education to online platforms, yet classical deterministic methods such as the Borda count method or Copeland-type pairwise methods ignore uncertainty due to sampling noise or…

统计方法学 · 统计学 2026-05-20 Shunpu Zhang

The theory of reinforcement learning has focused on two fundamental problems: achieving low regret, and identifying $\epsilon$-optimal policies. While a simple reduction allows one to apply a low-regret algorithm to obtain an…

机器学习 · 计算机科学 2022-06-23 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

An approach to reasoning with default rules where the proportion of exceptions, or more generally the probability of encountering an exception, can be at least roughly assessed is presented. It is based on local uncertainty propagation…

人工智能 · 计算机科学 2013-03-26 Stephane Amarger , Didier Dubois , Henri Prade

I proposed (8, 1, 3) that p values should be supplemented by an estimate of the false positive risk (FPR). FPR was defined as the probability that, if you claim that there is a real effect on the basis of p value from a single unbiased…

其他统计学 · 统计学 2020-08-10 David Colquhoun

Attempts to replicate probabilistic reasoning in expert systems have typically overlooked a critical ingredient of that process. Probabilistic analysis typically requires extensive judgments regarding interdependencies among hypotheses and…

人工智能 · 计算机科学 2013-04-15 Marvin S. Cohen

This position paper reflects on the state-of-the-art in decision-making under uncertainty. A classical assumption is that probabilities can sufficiently capture all uncertainty in a system. In this paper, the focus is on the uncertainty…

人工智能 · 计算机科学 2023-03-13 Thom Badings , Thiago D. Simão , Marnix Suilen , Nils Jansen

The Partial Area Under the ROC Curve (PAUC), typically including One-way Partial AUC (OPAUC) and Two-way Partial AUC (TPAUC), measures the average performance of a binary classifier within a specific false positive rate and/or true positive…

机器学习 · 计算机科学 2022-10-12 Huiyang Shao , Qianqian Xu , Zhiyong Yang , Shilong Bao , Qingming Huang

While belief functions may be seen formally as a generalization of probabilistic distributions, the question of the interactions between belief functions and probability is still an issue in practice. This question is difficult, since the…

计算机科学中的逻辑 · 计算机科学 2011-10-03 Frederic Dambreville

Duality is a foundational tool in robust and distributionally robust optimization (RO and DRO), underpinning both analytical insights and tractable reformulations. The prevailing approaches in the literature primarily rely on saddle-point…

最优化与控制 · 数学 2026-04-02 Louis L. Chen , Jake Roth , Johannes O. Royset

Many researchers have applied classical statistical decision theory to evaluate treatment choices and learn optimal policies. However, because this framework is based solely on realized outcomes under chosen decisions and ignores…

统计理论 · 数学 2025-10-21 Benedikt Koch , Kosuke Imai

Economists often estimate economic models on data and use the point estimates as a stand-in for the truth when studying the model's implications for optimal decision-making. This practice ignores model ambiguity, exposes the decision…

计量经济学 · 经济学 2021-10-07 Maximilian Blesch , Philipp Eisenhauer

Opportunistic detection rules (ODRs) are variants of fixed-sample-size detection rules in which the statistician is allowed to make an early decision on the alternative hypothesis opportunistically based on the sequentially observed…

信息论 · 计算机科学 2016-02-15 Wenyi Zhang , George V. Moustakides , H. Vincent Poor

There has long been debate about the relative merits of decision theoretic methods and heuristic rule-based approaches for reasoning under uncertainty. We report an experimental comparison of the performance of the two approaches to…

人工智能 · 计算机科学 2013-04-10 Jayant Kalagnanam , Max Henrion

We discuss two novel approaches to the classical two-sample problem. Our starting point are properly standardized and combined, very popular in several areas of statistics and data analysis, ordinal dominance and receiver characteristic…

统计方法学 · 统计学 2024-01-26 Teresa Ledwina , Adam Zagdański

Making a decision is often a matter of listing and comparing positive and negative arguments. In such cases, the evaluation scale for decisions should be considered bipolar, that is, negative and positive values should be explicitly…

人工智能 · 计算机科学 2014-01-16 Didier Dubois , Hélène Fargier , Jean-François Bonnefon

Considerable attention has been given to the problem of non-monotonic reasoning in a belief function framework. Earlier work (M. Ginsberg) proposed solutions introducing meta-rules which recognized conditional independencies in a…

人工智能 · 计算机科学 2013-04-05 Mary McLeish

In this paper we analyse some of the classical paradoxes in Social Choice Theory (namely, the Condorcet paradox, the discursive dilemma, the Ostrogorski paradox and the multiple election paradox) using a general framework for the study of…

多智能体系统 · 计算机科学 2014-06-12 Umberto Grandi

The interpretability of model has become one of the obstacles to its wide application in the high-stake fields. The usual way to obtain interpretability is to build a black-box first and then explain it using the post-hoc methods. However,…

机器学习 · 计算机科学 2023-04-04 Zihao Chen , Xiaomeng Wang , Yuanjiang Huang , Tao Jia

In practice, it is essential to compare and rank candidate policies offline before real-world deployment for safety and reliability. Prior work seeks to solve this offline policy ranking (OPR) problem through value-based methods, such as…

机器学习 · 计算机科学 2023-12-20 Longchao Da , Porter Jenkins , Trevor Schwantes , Jeffrey Dotson , Hua Wei