What did George Box mean by "All models are wrong, but some are useful," and how does this concept relate to the trade-off between model complexity and generalization in statistical learning theory?

What Nassim Taleb's Black Swan theory says — rare unpredictable events dominate history

Black Swan theory posits that rare, unpredictable events have significant historical impact

What Long-Term Capital Management's failure showed — even Nobel Prize-winning models can blow up

Nobel models can't always predict extreme market events

What Buffett means by staying within your circle of competence

Buffett advises investing in areas where one has deep understanding and expertise

What recency bias does — overweighting recent events in investment decisions

Recency bias leads investors to prioritize recent market trends over long-term historical data

What does the Hurst exponent indicate about the long-term memory properties of a time series, and how does it impact the predictability of its future values?

Hurst exponent measures persistence or anti-persistence in time series, affecting predictability of future values

What is the primary objective of using the gradient descent optimization algorithm in training machine learning models?

Minimize the loss function to find optimal model parameters