Negative Log Probability Function

See: Negative Function, Log-Probability, Logit Function, Training Set Correct Answer Sum.

---

---

References

2008

• (Hinton, 2008c) ⇒ Geoffrey E. Hinton. (2008). “Lecture 3: Linear Classification Methods." CSC2515 Fall 2008, Introduction to Machine Learning
  • The natural error function for the logistic
    • To fit a logistic model using maximum likelihood, we need to minimize the negative log probability of the correct answer summed over the training set.

2003

• (Adballah & Plumbley, 2003) ⇒ Samer Abdallah, and Mark Plumbley. (2003). “Unsupervised Onset Detection: a probabilistic approach using ICA and and a hidden Markov classifier.” In: Proceedings of the Cambridge Music Processing Colloquium
  • The negative log-probability of a Gaussian density function is a quadratic form, and hence energy based methods of onset detection can be derived from Gaussian signal models.

---