Time has always seemed like the one thing physics could count on. Matter changes, stars die, particles flicker in and out, ...

The record for most goals scored in a World Cup tournament is 172, but that could be broken by the time the group stages wrap ...

Financial advisors need to look beyond averages when analyzing private investments to understand the full performance picture ...

Every day, millions of people open Wordle and stare at five empty boxes, hoping the right first guess will unlock the puzzle.

It does this by taking listed options data, fitting an arbitrage-free implied volatility surface, and then transforming that fitted object into a probability distribution over future asset prices. In ...

Most optimization problems in control theory assume you're working in flat space. You have a system, you want to steer it from one state to another, and you minimize some cost along the way. This ...

Where \(X\) is a normally distributed random variable with mean \(\mu\) and standard deviation \(\sigma\). The peak of the curve occurs at \(x=\mu\), and the spread ...

Julie Young is an experienced financial writer and editor. She specializes in financial analysis in capital planning and investment management. Eric's career includes extensive work in both public and ...

Thomas J Catalano is a CFP and Registered Investment Adviser with the state of South Carolina, where he launched his own financial advisory firm in 2018. Thomas' experience gives him expertise in a ...

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...

TensorFlow Probability is a library for probabilistic reasoning and statistical analysis in TensorFlow. As part of the TensorFlow ecosystem, TensorFlow Probability provides integration of ...

When is it appropriate to completely reinvent the wheel? To an outsider, that seems to happen a lot in category theory, and probability theory isn’t spared from this treatment. We’ve had a useful ...