Analytic continuation is a technique for expanding the territory of a function. If holomorphic functions coincide in a common domain, that overlapping part can be used as a foothold to successively ...

“If the price goes up, the quantity purchased will decrease. If it becomes cheaper, it will sell.” I thought this was common sense in economics. However, after reading Chapter 7 of “Introduction to ...

Sparse models, though long preferred and pursued by social scientists, can be ineffective or unstable relative to large models, for example, in economic predictions (Giannone et al., 2021). To achieve ...

Alpöge’s discovery is the latest in a string of high-profile mathematical breakthroughs made by large language models. Recent examples include OpenAI’s disproof of the unit distance conjecture, and ...

But from the perspective of research mathematicians, and especially young people who are pursuing a Ph.D. in mathematics, ...

Physicists have debated which way a submerged sprinkler sucking in water would spin. Careful experiments provide an answer.

Yet another longstanding mathematical question has been resolved by AI – and it feels a little different from the ones that ...

ML IsolationForest + PyTorch autoencoder anomaly detection · supervised stress-day classifier (logistic + random forest) · semi-supervised label propagation · PCA + KMeans + Marchenko-Pastur denoising ...