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AI in Markets Comparison

Platt vs Temperature Scaling

Modern models, including large neural networks, are often miscalibrated: a 90 percent confidence does not mean right nine times in ten. Post-hoc calibration fixes this by learning a transform on a validation set that maps raw scores to honest probabilities. Platt and temperature scaling are the two simplest parametric transforms. Platt fits a logistic regression on the scores, with a slope and an intercept. Temperature scaling divides the logits by a single learned scalar before the softmax. The extra parameters in Platt give flexibility but can move the decision boundary, whereas temperature scaling is constrained to leave predictions and ranking untouched. This matrix compares them for calibrating financial-model and LLM confidences.

By AI Fin Hub Research · AI Fin Hub Team

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Platt Scaling Option

Fits a logistic transform, a slope and an intercept, mapping raw scores to calibrated probabilities. Two parameters learned on a held-out set.

Pros

  • Two parameters let it both rescale confidence and shift the effective decision threshold
  • Well-suited to binary classifiers and to SVM-style scores that need a probability mapping
  • Can correct both over- and under-confidence and an offset bias simultaneously
  • Long-established with broad library support and well-understood behavior

Cons

  • Can change the argmax and decision boundary, altering accuracy as a side effect
  • Two parameters need more calibration data to fit reliably than a single one
  • Assumes a logistic relationship that may not match the true miscalibration shape
  • Awkward to extend to many classes, where it is applied one-versus-rest

Binary scores needing both rescaling and threshold adjustment, and probability mapping for margin-based classifiers

Temperature Scaling Option

Divides the logits by a single learned temperature before the softmax, softening or sharpening the confidence distribution without changing the ranking.

Pros

  • A single parameter, so it fits reliably on small calibration sets and rarely overfits
  • Preserves the ranking and the argmax, so accuracy is unchanged by construction
  • The standard, often most effective method for modern multiclass neural networks
  • Cheap to apply and trivial to reason about: one scalar softens every prediction

Cons

  • Cannot fix class-specific or threshold miscalibration, since it scales everything uniformly
  • One parameter is too rigid when miscalibration differs across classes or score regions
  • Does not adjust the decision boundary, which is sometimes exactly what you need
  • Assumes the miscalibration is a uniform over- or under-confidence, which is not always true

Multiclass neural-network confidences where accuracy must be preserved and a single uniform softening suffices

Decision Table

See the tradeoffs side by side

Criterion Platt Scaling Temperature Scaling
Parameters fit Two: slope and intercept One: temperature
Changes argmax / accuracy Can change it Never, ranking preserved
Adjusts decision threshold Yes No
Calibration data needed More Less
Multiclass fit One-versus-rest, awkward Natural, single scalar
Best modern use Binary scores Multiclass neural networks

Verdict

Choose by whether you must preserve accuracy and how many classes you have. For modern multiclass neural networks, temperature scaling is the default and frequently the most effective method, because its single parameter fits reliably on little data, rarely overfits, and by construction leaves the ranking and argmax, and therefore accuracy, untouched: it only softens overconfident probabilities. Reach for Platt scaling when you are calibrating a binary classifier or margin-based score and you genuinely want the extra flexibility to shift the decision threshold as well as rescale confidence, accepting that the two parameters need more calibration data and can move accuracy. If neither captures the miscalibration shape, both are simple baselines that a non-parametric method like isotonic regression can beat at the cost of more data and overfitting risk. Whichever you pick, fit it on a held-out set the model never trained on, and verify the result with a reliability diagram rather than trusting the transform blindly.

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FAQ

Questions people ask next

The short answers readers usually want after the first pass.

Temperature scaling divides every logit by the same positive scalar before the softmax. Because dividing all logits by a constant does not change their order, the largest logit stays the largest, so the predicted class, the argmax, is identical before and after. It only compresses or stretches the gaps between probabilities, which softens or sharpens confidence. Since accuracy depends only on the argmax and not on the probability magnitudes, it is mathematically unchanged, which is a key reason temperature scaling is favored for neural networks.

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