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The likelihood principle makes strong claims about the nature of statistical evidence but is controversial. Its claims are undermined by the existence of several examples that are assumed to show that it allows, with unity probability,…

Statistics Theory · Mathematics 2015-08-25 Michael J. Lew

Many published research results are false, and controversy continues over the roles of replication and publication policy in improving the reliability of research. Addressing these problems is frustrated by the lack of a formal framework…

Other Statistics · Statistics 2015-08-27 Richard McElreath , Paul E. Smaldino

The current rate of species extinction is rapidly approaching unprecedented highs and life on Earth presently faces a sixth mass extinction event driven by anthropogenic activity, climate change and ecological collapse. The field of…

Populations and Evolution · Quantitative Biology 2022-10-12 João C Teixeira , Christian D Huber

Automated systems built on artificial intelligence (AI) are increasingly deployed across high-stakes domains, raising critical concerns about fairness and the perpetuation of demographic disparities that exist in the world. In this context,…

Artificial Intelligence · Computer Science 2026-05-19 Drago Plecko

Group fairness definitions such as Demographic Parity and Equal Opportunity make assumptions about the underlying decision-problem that restrict them to classification problems. Prior work has translated these definitions to other machine…

Machine Learning · Computer Science 2023-11-28 Jack Blandin , Ian Kash

Progress in probabilistic generative models has accelerated, developing richer models with neural architectures, implicit densities, and with scalable algorithms for their Bayesian inference. However, there has been limited progress in…

Machine Learning · Statistics 2017-10-31 Dustin Tran , David M. Blei

Comparison and contrast are the basic means to unveil causation and learn which treatments work. To build good comparison groups, randomized experimentation is key, yet often infeasible. In such non-experimental settings, we illustrate and…

Methodology · Statistics 2024-01-30 Ambarish Chattopadhyay , Jose R. Zubizarreta

Counterfactual explanation is one branch of interpretable machine learning that produces a perturbation sample to change the model's original decision. The generated samples can act as a recommendation for end-users to achieve their desired…

Machine Learning · Computer Science 2023-03-28 Tri Dung Duong , Qian Li , Guandong Xu

A machine learning model, under the influence of observed or unobserved confounders in the training data, can learn spurious correlations and fail to generalize when deployed. For image classifiers, augmenting a training dataset using…

Machine Learning · Computer Science 2022-12-13 Abbavaram Gowtham Reddy , Saloni Dash , Amit Sharma , Vineeth N Balasubramanian

The likelihood function represents statistical evidence in the context of data and a probability model. Considerable theory has demonstrated that evidence strength for different parameter values can be interpreted from the ratio of…

Applications · Statistics 2016-11-17 Zeynep Baskurt , Lisa Strug

Evaluation of counterfactual queries (e.g., "If A were true, would C have been true?") is important to fault diagnosis, planning, and determination of liability. In this paper we present methods for computing the probabilities of such…

Artificial Intelligence · Computer Science 2013-02-28 Alexander Balke , Judea Pearl

The provision of intergenerational care, via the Grandmother Hypothesis, has been implicated in the evolution of post-fertile longevity, particularly in humans. However, if grandmothering does provide fitness benefits, a key question is why…

Populations and Evolution · Quantitative Biology 2017-05-01 Jared M. Field , Michael B. Bonsall

Natural selection acts on traits at different scales, often with opposing consequences. This article identifies the particular forces that act at each scale and how those forces combine to determine the overall evolutionary outcome. A…

Populations and Evolution · Quantitative Biology 2025-10-30 Steven A. Frank

Balanced representation learning methods have been applied successfully to counterfactual inference from observational data. However, approaches that account for survival outcomes are relatively limited. Survival data are frequently…

Machine Learning · Statistics 2021-03-04 Paidamoyo Chapfuwa , Serge Assaad , Shuxi Zeng , Michael J. Pencina , Lawrence Carin , Ricardo Henao

We address the problem of integrating data from multiple, possibly biased, observational and interventional studies, to eventually compute counterfactuals in structural causal models. We start from the case of a single observational dataset…

Artificial Intelligence · Computer Science 2023-03-17 Marco Zaffalon , Alessandro Antonucci , David Huber , Rafael Cabañas

Understanding the predictions made by deep learning models remains a central challenge, especially in high-stakes applications. A promising approach is to equip models with the ability to answer counterfactual questions -- hypothetical…

Machine Learning · Computer Science 2025-10-28 Inwoo Hwang , Yushu Pan , Elias Bareinboim

Counterfactual Thinking is a human cognitive ability studied in a wide variety of domains. It captures the process of reasoning about a past event that did not occur, namely what would have happened had this event occurred, or, otherwise,…

Artificial Intelligence · Computer Science 2019-12-20 Luis Moniz Pereira , Francisco C. Santos

Our approach is basically a coherence approach, but we avoid the well-known pitfalls of coherence theories of truth. Consistency is replaced by reliability, which expresses support and attack, and, in principle, every theory (or agent,…

Artificial Intelligence · Computer Science 2018-04-03 Karl Schlechta

Measuring the statistical dependence between observed signals is a primary tool for scientific discovery. However, biological systems often exhibit complex non-linear interactions that currently cannot be captured without a priori knowledge…

Contextuality is usually defined as absence of a joint distribution for a set of measurements (random variables) with known joint distributions of some of its subsets. However, if these subsets of measurements are not disjoint,…

Quantum Physics · Physics 2017-09-05 Ehtibar Dzhafarov , Janne Kujala
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