An international team of astronomers has uncovered subtle but significant signs that the cosmic engines powering quasars, ...

Learn how prior probability informs economic theory and decision-making in Bayesian statistics. Understand its role before collecting new data.

Only Connect fans were left stunned on Monday night after host Victoria Coren Mitchell appeared to break the rules in a tense puzzle round, sparking accusations of a “pity point” on social media. The ...

A team of international physicists has brought Bayes’ centuries-old probability rule into the quantum world. By applying the “principle of minimum change” — updating beliefs as little as possible ...

The study, titled Reinforcement Learning for Monetary Policy Under Macroeconomic Uncertainty: Analyzing Tabular and Function ...

Their discovery was published on August 28, 2025, in Physical Review Letters and examines how beliefs are updated in the quantum world, where normal physics rules no longer apply The research was ...

Imagine you take a flu test. Before the result, you already have a guess, maybe you feel a bit unwell, so you think the chance is 50–50. When the test comes back positive, you don’t throw away your ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Bernoulli’s 1713 golden theorem is viewed retrospectively in the context of modern model-based frequentist inference that revolves around the concept of a prespecified statistical model Mθ (x), ...

Large Language Models (LLMs) have demonstrated remarkable in-context learning (ICL) capabilities, where they can learn tasks from demonstrations without requiring additional training. A critical ...

Abstract: Online remaining useful life (RUL) prediction is a core function of prognostics and health management (PHM), which provides solutions for comprehensive and personalised system management.