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Throughout the last decade, random forests have established themselves as among the most accurate and popular supervised learning methods. While their black-box nature has made their mathematical analysis difficult, recent work has…

统计方法学 · 统计学 2019-12-10 Tim Coleman , Wei Peng , Lucas Mentch

The implicit theory that a simulation represents is precisely not in the individual choices but rather in the 'envelope' of possible trajectories - what is important is the shape of the whole envelope. Typically a huge amount of computation…

编程语言 · 计算机科学 2007-05-23 Oswaldo Teran , Bruce Edmonds , Steve Wallis

Simulation offers a simple and flexible way to estimate the power of a clinical trial when analytic formulae are not available. The computational burden of using simulation has, however, restricted its application to only the simplest of…

统计方法学 · 统计学 2020-12-04 Duncan T. Wilson , Rebecca E. A. Walwyn , Richard Hooper , Julia Brown , Amanda J. Farrin

The field of robotics has made significant advances towards generalist robot manipulation policies. However, real-world evaluation of such policies is not scalable and faces reproducibility challenges, which are likely to worsen as policies…

The dynamics of random transitive delegations on a graph are of particular interest when viewed through the lens of an emerging voting paradigm, liquid democracy. This paradigm allows voters to choose between directly voting and…

Many biological studies involve inferring the evolutionary history of a sample of individuals from a large population and interpreting the reconstructed tree. Such an ascertained tree typically represents only a small part of a…

种群与进化 · 定量生物学 2024-08-13 Michael Celentano , William S. DeWitt , Sebastian Prillo , Yun S. Song

The decision to incorporate cross-validation into validation processes of mathematical models raises an immediate question - how should one partition the data into calibration and validation sets? We answer this question systematically: we…

数据分析、统计与概率 · 物理学 2011-08-31 Rebecca Morrison , Corey Bryant , Gabriel Terejanu , Kenji Miki , Serge Prudhomme

We discuss difficulties of evaluating partisan gerrymandering in the congressional districts in Utah and the failure of many common metrics in Utah. We explain why the Republican vote share in the least-Republican district (LRVS) is a good…

计算机与社会 · 计算机科学 2022-07-21 Annika King , Jacob Murri , Jake Callahan , Adrienne Russell , Tyler J. Jarvis

Decisions about how the population of the United States should be divided into legislative districts have powerful and not fully understood effects on the outcomes of elections. The problem of understanding what we might mean by "fair…

物理与社会 · 物理学 2020-06-22 Jordan S. Ellenberg

Simulation models are an absolute necessity in the human and social sciences, which can only very exceptionally use experimental science methods to construct their knowledge. Models enable the simulation of social processes by replacing the…

计算机与社会 · 计算机科学 2020-01-06 J. Raimbault , D. Pumain

In a regression model, prediction is typically performed after model selection. The large variability in the model selection makes the prediction unstable. Thus, it is essential to reduce the variability in model selection and improve…

统计计算 · 统计学 2024-04-11 Wataru Yoshida , Kei Hirose

We create 4200 synthetic cities which vary in percent minority population and their residential segregation patterns. Of these, 1200 are modeled on existing cities, and 3000 are rectangular grid cities. In each city, we consider…

计算机与社会 · 计算机科学 2022-08-30 William Hager , Betseygail Rand

Our main contribution is the introduction of the map of elections framework. A map of elections consists of three main elements: (1) a dataset of elections (i.e., collections of ordinal votes over given sets of candidates), (2) a way of…

In the context of modern sampling methods for redistricting, we define a natural measurement of the clustering of a political party, and we study how clustering affects the expected election outcome. We first prove general results and then…

物理与社会 · 物理学 2020-03-12 Kristopher Tapp

Computer simulations of complex population genetic models are an essential tool for making sense of the large-scale datasets of multiple genome sequences from a single species that are becoming increasingly available. A widely used approach…

种群与进化 · 定量生物学 2026-04-23 Parul Johri , Fanny Pouyet , Brian Charlesworth

While many statistical models and methods are now available for network analysis, resampling network data remains a challenging problem. Cross-validation is a useful general tool for model selection and parameter tuning, but is not directly…

统计方法学 · 统计学 2020-05-04 Tianxi Li , Elizaveta Levina , Ji Zhu

Modelling and simulating the traffic of heavily used but secure environments such as seaports and airports is of increasing importance. Errors made when simulating these environments can have long standing economic, social and environmental…

计算工程、金融与科学 · 计算机科学 2013-06-03 Chris Roadknight , Uwe Aickelin , Galina Sherman

Many real-world applications are increasingly incorporating automated decision-making, driven by the widespread adoption of ML/AI inference for planning and guidance. This study examines the growing need for verifiable computing in…

人工智能 · 计算机科学 2025-03-25 Michele Dallachiesa , Antonio Pitasi , David Pinger , Josh Goodbody , Luis Vaello

We consider a two-round election model involving $m$ voters and $n$ candidates. Each voter is endowed with a strict preference list ranking the candidates. In the first round, the candidates are partitioned into two subsets, $A$ and $B$,…

计算机科学与博弈论 · 计算机科学 2026-03-17 Emilio De Santis , Antonio Di Crescenzo , Verdiana Mustaro

Citizen-focused democratic processes where participants deliberate on alternatives and then vote to make the final decision are increasingly popular today. While the computational social choice literature has extensively investigated voting…

多智能体系统 · 计算机科学 2023-05-17 Kanav Mehra , Nanda Kishore Sreenivas , Kate Larson