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Your Model’s MSE Is Lying to You

Your Model’s MSE Is Lying to You

Waleed Esmail· ·26 min read · 0 reactions · 0 comments · 7 views
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Machine LearningYour Model’s MSE Is Lying to YouFirst in a series on probabilistic forecasting for physical signals. The model looks at the recent history, thinks for a moment, and gives you a single number: 0.50.50.5.There's a threshold τ=1.0\tau = 1.0τ=1.0 that fires an alarm. The question is: should you worry?You can't answer that.

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Towards Data Science · Waleed Esmail
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Original publisherTowards Data Science
Canonical URLhttps://towardsdatascience.com/your-models-mse-is-lying-to-you/
Publication timeMon, 14 Sep 2026 19:30:01 GMT
Retrieval time2026-09-14T19:31:52.711Z
Last seen2026-09-14T19:31:52.711Z
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Opening excerpt (first ~120 words) tap to expand

Machine LearningYour Model’s MSE Is Lying to YouFirst in a series on probabilistic forecasting for physical signals. Next: what happens when you roll the forecast forward more than one step.Waleed EsmailSeptember 14, 202624 min readWhy mean squared error hides the uncertainty in a forecast, and the probabilistic loss that recovers it.Two models, one number, opposite realitiesImagine you have a sensor recording something you care about, for example seismic background at a detector site, electrical load on a grid, or strain in a bridge cable, and you've trained a model to forecast the next value. The model looks at the recent history, thinks for a moment, and gives you a single number: 0.50.50.5.There's a threshold τ=1.0\tau = 1.0τ=1.0 that fires an alarm.

Excerpt limited to ~120 words for fair-use compliance. The full article is at Towards Data Science.

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