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Consistency of case bases is a way to avoid the problem of retrieving conflicting constraining precedents for new cases to be decided. However, in legal practice the consistency requirements for case bases may not be satisfied. As pointed…

人工智能 · 计算机科学 2024-10-15 Cecilia Di Florio , Huimin Dong , Antonino Rotolo

Counterfactual explanations utilize feature perturbations to analyze the outcome of an original decision and recommend an actionable recourse. We argue that it is beneficial to provide several alternative explanations rather than a single…

机器学习 · 计算机科学 2023-01-24 Natraj Raman , Daniele Magazzeni , Sameena Shah

This paper addresses the problem of estimating causal effects when adjustment variables in the back-door or front-door criterion are partially observed. For such scenarios, we derive bounds on the causal effects by solving two non-linear…

统计方法学 · 统计学 2021-06-24 Ang Li , Judea Pearl

Our article described an experiment that adjudicates between different causal accounts of Bell inequality violations by a comparison of their predictive power, finding that certain types of models that are structurally radical but…

量子物理 · 物理学 2024-12-05 Patrick Daley , Kevin J. Resch , Robert W. Spekkens

When analyzing real-world data it is common to work with event ensembles, which comprise sets of observations that collectively constrain the parameters of an underlying model of interest. Such models often have a hierarchical structure,…

机器学习 · 统计学 2024-02-22 Lukas Heinrich , Siddharth Mishra-Sharma , Chris Pollard , Philipp Windischhofer

We develop a design-based framework for causal inference that accommodates random potential outcomes without introducing outcome models, thereby extending the classical Neyman--Rubin paradigm in which outcomes are treated as fixed. By…

统计方法学 · 统计学 2026-01-14 Yukai Yang

We extend the formal framework of classifier models used in the legal domain. While the existing classifier framework characterises cases solely through the facts involved, legal reasoning fundamentally relies on both facts and rules,…

人工智能 · 计算机科学 2025-05-02 Cecilia Di Florio , Huimin Dong , Antonino Rotolo

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

计量经济学 · 经济学 2026-01-13 Jiawei Fu , Donald P. Green

Transformers have demonstrated remarkable performance in natural language processing and related domains, as they largely focus on sequential, autoregressive next-token prediction tasks. Yet, they struggle in logical reasoning, not…

人工智能 · 计算机科学 2025-10-08 Renee Ge , Qianli Liao , Tomaso Poggio

In recent years, the front-door criterion (FDC) has been increasingly noticed in economics and social science. However, most economists still resist collecting this tool in their empirical toolkit. This article aims to incorporate the FDC…

统计方法学 · 统计学 2024-12-17 Zexuan Chen

A notion of morphism that is suitable for the sheaf-theoretic approach to contextuality is developed, resulting in a resource theory for contextuality. The key features involve using an underlying relation rather than a function between…

量子物理 · 物理学 2019-01-30 Martti Karvonen

Machine learning algorithms generally suffer from a problem of explainability. Given a classification result from a model, it is typically hard to determine what caused the decision to be made, and to give an informative explanation. We…

机器学习 · 计算机科学 2019-06-26 Jonathan Moore , Nils Hammerla , Chris Watkins

Hierarchical models represent a challenging setting for inference algorithms. MCMC methods struggle to scale to large models with many local variables and observations, and variational inference (VI) may fail to provide accurate…

机器学习 · 计算机科学 2022-07-27 Tomas Geffner , Justin Domke

To construct interpretable explanations that are consistent with the original ML model, counterfactual examples---showing how the model's output changes with small perturbations to the input---have been proposed. This paper extends the work…

机器学习 · 计算机科学 2020-06-16 Divyat Mahajan , Chenhao Tan , Amit Sharma

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

统计计算 · 统计学 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski

Predicting the effect of interventions with many possible variations, e.g., therapeutic content that affects mental health outcomes or an earnings call transcript that drives movement in share price, is useful across several domains.…

机器学习 · 计算机科学 2026-05-27 Nikita Dhawan , Arnav Paruthi , Andrew Kim , Lovedeep Gondara , Jekaterina Novikova , Chris J. Maddison

Scientists often want to learn about cause and effect from hierarchical data, collected from subunits nested inside units. Consider students in schools, cells in patients, or cities in states. In such settings, unit-level variables (e.g.…

统计方法学 · 统计学 2024-06-27 Eli N. Weinstein , David M. Blei

Reduced-rank decompositions provide descriptions of the variation among the elements of a matrix or array. In such decompositions, the elements of an array are expressed as products of low-dimensional latent factors. This article presents a…

统计方法学 · 统计学 2010-06-01 Peter Hoff

Structural causal models are the basic modelling unit in Pearl's causal theory; in principle they allow us to solve counterfactuals, which are at the top rung of the ladder of causation. But they often contain latent variables that limit…

人工智能 · 计算机科学 2021-11-23 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Marginal Structural Models (MSM) are the most popular models for causal inference from time-series observational data. However, they have two main drawbacks: (a) they do not capture subject heterogeneity, and (b) they only consider fixed…

机器学习 · 计算机科学 2020-10-19 Debmalya Mandal , David Parkes
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