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Real-valued logics underlie an increasing number of neuro-symbolic approaches, though typically their logical inference capabilities are characterized only qualitatively. We provide foundations for establishing the correctness and power of…

Logic in Computer Science · Computer Science 2022-09-01 Ronald Fagin , Ryan Riegel , Alexander Gray

We propose an interpretation of physics named potentiality realism. This view, which can be applied to classical as well as to quantum physics, regards potentialities (i.e. intrinsic, objective propensities for individual events to obtain)…

Quantum Physics · Physics 2024-10-08 Flavio Del Santo , Nicolas Gisin

We outline how modern likelihood theory, which provides essentially exact inferences in a variety of parametric statistical problems, may routinely be applied in practice. Although the likelihood procedures are based on analytical…

Methodology · Statistics 2009-06-23 Alessandra R. Brazzale , Anthony C. Davison

Uncertainty may be taken to characterize inferences, their conclusions, their premises or all three. Under some treatments of uncertainty, the inferences itself is never characterized by uncertainty. We explore both the significance of…

Artificial Intelligence · Computer Science 2013-02-18 Henry E. Kyburg

Measurements play a crucial role in doing physics: Their results provide the basis on which we adopt or reject physical theories. In this note, we examine the effect of subjecting measurements themselves to our experience. We require that…

Quantum Physics · Physics 2020-01-28 Arne Hansen , Stefan Wolf

Since the rise of fair machine learning as a critical field of inquiry, many different notions on how to quantify and measure discrimination have been proposed in the literature. Some of these notions, however, were shown to be mutually…

Computers and Society · Computer Science 2023-12-25 Drago Plecko , Elias Bareinboim

Citations are the cornerstone of knowledge propagation and the primary means of assessing the quality of research, as well as directing investments in science. Science is increasingly becoming "data-intensive", where large volumes of data…

Digital Libraries · Computer Science 2017-09-28 Gianmaria Silvello

Clinical researchers often select among and evaluate risk prediction models using standard machine learning metrics based on confusion matrices. However, if these models are used to allocate interventions to patients, standard metrics…

Machine Learning · Statistics 2020-06-03 Alejandro Schuler , Aashish Bhardwaj , Vincent Liu

Confidence is a fundamental concept in statistics, but there is a tendency to misinterpret it as probability. In this paper, I argue that an intuitively and mathematically more appropriate interpretation of confidence is through…

Statistics Theory · Mathematics 2017-07-04 Ryan Martin

Meta-analysis, by synthesizing effect estimates from multiple studies conducted in diverse settings, stands at the top of the evidence hierarchy in clinical research. Yet, conventional approaches based on fixed- or random-effects models…

This paper develops a framework to study the statistical power of revealed-preference tests. With randomly sampled budgets and mild smoothness of demand, statistical learning implies that any model consistent with the data must approximate…

Theoretical Economics · Economics 2026-02-12 Charles Gauthier , Raghav Malhotra , Agustin Troccoli Moretti

As complex machine learning models continue to find applications in high-stakes decision-making scenarios, it is crucial that we can explain and understand their predictions. Post-hoc explanation methods provide useful insights by…

Machine Learning · Statistics 2024-10-16 Beepul Bharti , Paul Yi , Jeremias Sulam

In this paper, we consider one aspect of the problem of applying decision theory to the design of agents that learn how to make decisions under uncertainty. This aspect concerns how an agent can estimate probabilities for the possible…

Artificial Intelligence · Computer Science 2013-03-26 Adam J. Grove , Daphne Koller

In the same sense as classical logic is a formal theory of truth, the recently initiated approach called computability logic is a formal theory of computability. It understands (interactive) computational problems as games played by a…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

Plausible reasoning concerns situations whose inherent lack of precision is not quantified; that is, there are no degrees or levels of precision, and hence no use of numbers like probabilities. A hopefully comprehensive set of principles…

Artificial Intelligence · Computer Science 2017-04-05 David Billington

Statistical inferential results generally come with a measure of reliability for decision-making purposes. For a policy implementer, the value of implementing published policy research depends critically upon this reliability. For a policy…

Other Statistics · Statistics 2024-08-21 Duncan Ermini Leaf

We provide a novel notion of what it means to be interpretable, looking past the usual association with human understanding. Our key insight is that interpretability is not an absolute concept and so we define it relative to a target model,…

Artificial Intelligence · Computer Science 2017-07-14 Amit Dhurandhar , Vijay Iyengar , Ronny Luss , Karthikeyan Shanmugam

Physical theories must stem from observation. The possibility that perceived events are simulated, not real, raises a crucial dilemma about the credibility of known physics, known as the simulation hypothesis. To analyze this hypothesis in…

General Physics · Physics 2024-01-08 Francesco Sisini

Over the last two decades, there has been an extensive study on logical formalisms for specifying and verifying real-time systems. Temporal logics have been an important research subject within this direction. Although numerous logics have…

Logic in Computer Science · Computer Science 2013-08-06 Savas Konur

The notion of causal effect is fundamental across many scientific disciplines. Traditionally, quantitative researchers have studied causal effects at the level of variables; for example, how a certain drug dose (W) causally affects a…

Methodology · Statistics 2026-04-07 Junhyung Park , Yuqing Zhou
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