Skip to main content
added 1 character in body; edited tags; edited title
Source Link
Xi'an
  • 109.4k
  • 13
  • 200
  • 696

Bayesian vs Frequentist Prediction Methods and Frequencey GauranteesGarantees

After reading Larry Wassermans blog on the difference between Bayesian and Frequentist inference I started to appreciate that frequency guarantees can be desirable regardless of the inference method that you choose, since some Bayesian inference methods have frequency guarantees.

With that said, assume that I am developing a prediction model for a Business application that will perform a large number of predictions over the next year. Furthermore, the Business requires a guarantee of the performance of this prediction model in order to manage risk.

Is a guarantee of the performance of a (Bayesian or Frequentist) prediction model a frequency guarantee of that prediction model? If all guarantees of performance are frequency guarantees should frequency guarantees not always be desirable for both Bayesians and Frequentists in this Business context?

As an example: if I am learning from a class of (classification) prediction models with finite VC dimension and more data than the corresponding sample complexity is available I have guarantees on the performance of the prediction model. However, these results from statistical learning theory are derived from the risk which involves an integral over the data which is fundamentalyfundamentally frequentist, i.e. a frequency guarantee. My intuition is that all guarantees about performance (future data) will involve an integral over the data and therefore Bayesians require frequency guarantees to guarantee performance, but I might be mistaken?

Bayesian vs Frequentist Prediction Methods and Frequencey Gaurantees

After reading Larry Wassermans blog on the difference between Bayesian and Frequentist inference I started to appreciate that frequency guarantees can be desirable regardless of the inference method that you choose, since some Bayesian inference methods have frequency guarantees.

With that said, assume that I am developing a prediction model for a Business application that will perform a large number of predictions over the next year. Furthermore, the Business requires a guarantee of the performance of this prediction model in order to manage risk.

Is a guarantee of the performance of a (Bayesian or Frequentist) prediction model a frequency guarantee of that prediction model? If all guarantees of performance are frequency guarantees should frequency guarantees not always be desirable for both Bayesians and Frequentists in this Business context?

As an example: if I am learning from a class of (classification) prediction models with finite VC dimension and more data than the corresponding sample complexity is available I have guarantees on the performance of the prediction model. However, these results from statistical learning theory are derived from the risk which involves an integral over the data which is fundamentaly frequentist, i.e. a frequency guarantee. My intuition is that all guarantees about performance (future data) will involve an integral over the data and therefore Bayesians require frequency guarantees to guarantee performance, but I might be mistaken?

Bayesian vs Frequentist Prediction Methods and Frequencey Garantees

After reading Larry Wassermans blog on the difference between Bayesian and Frequentist inference I started to appreciate that frequency guarantees can be desirable regardless of the inference method that you choose, since some Bayesian inference methods have frequency guarantees.

With that said, assume that I am developing a prediction model for a Business application that will perform a large number of predictions over the next year. Furthermore, the Business requires a guarantee of the performance of this prediction model in order to manage risk.

Is a guarantee of the performance of a (Bayesian or Frequentist) prediction model a frequency guarantee of that prediction model? If all guarantees of performance are frequency guarantees should frequency guarantees not always be desirable for both Bayesians and Frequentists in this Business context?

As an example: if I am learning from a class of (classification) prediction models with finite VC dimension and more data than the corresponding sample complexity is available I have guarantees on the performance of the prediction model. However, these results from statistical learning theory are derived from the risk which involves an integral over the data which is fundamentally frequentist, i.e. a frequency guarantee. My intuition is that all guarantees about performance (future data) will involve an integral over the data and therefore Bayesians require frequency guarantees to guarantee performance, but I might be mistaken?

added 606 characters in body
Source Link
mtedwards
  • 213
  • 1
  • 5

After reading Larry Wassermans blog on the difference between Bayesian and Frequentist inference I started to appreciate that frequency guarantees can be desirable regardless of the inference method that you choose, since some Bayesian inference methods have frequency guarantees.

With that said, assume that I am developing a prediction model for a Business application that will perform a large number of predictions over the next year. Furthermore, the Business requires an estimatea guarantee of the performance (e.g. MSE, accuracy) of this prediction model in order to manage risk.

Is an estimatea guarantee of the performance of a (Bayesian or Frequentist) prediction model a frequency guarantee of that prediction model? If all estimatesguarantees of performance are necessarily frequency guarantees should frequency guarantees not always be desirable for both Bayesians and Frequentists in this Business context?

As an example: if I am learning from a class of (classification) prediction models with finite VC dimension and more data than the corresponding sample complexity is available I have guarantees on the performance of the prediction model. However, these results from statistical learning theory are derived from the risk which involves an integral over the data which is fundamentaly frequentist, i.e. a frequency guarantee. My intuition is that all guarantees about performance (future data) will involve an integral over the data and therefore Bayesians require frequency guarantees to guarantee performance, but I might be mistaken?

After reading Larry Wassermans blog on the difference between Bayesian and Frequentist inference I started to appreciate that frequency guarantees can be desirable regardless of the inference method that you choose, since some Bayesian inference methods have frequency guarantees.

With that said, assume that I am developing a prediction model for a Business application that will perform a large number of predictions over the next year. Furthermore, the Business requires an estimate of the performance (e.g. MSE, accuracy) of this prediction model in order to manage risk.

Is an estimate of the performance of a (Bayesian or Frequentist) prediction model a frequency guarantee of that prediction model? If all estimates of performance are necessarily frequency guarantees should frequency guarantees not always be desirable for both Bayesians and Frequentists in this Business context?

After reading Larry Wassermans blog on the difference between Bayesian and Frequentist inference I started to appreciate that frequency guarantees can be desirable regardless of the inference method that you choose, since some Bayesian inference methods have frequency guarantees.

With that said, assume that I am developing a prediction model for a Business application that will perform a large number of predictions over the next year. Furthermore, the Business requires a guarantee of the performance of this prediction model in order to manage risk.

Is a guarantee of the performance of a (Bayesian or Frequentist) prediction model a frequency guarantee of that prediction model? If all guarantees of performance are frequency guarantees should frequency guarantees not always be desirable for both Bayesians and Frequentists in this Business context?

As an example: if I am learning from a class of (classification) prediction models with finite VC dimension and more data than the corresponding sample complexity is available I have guarantees on the performance of the prediction model. However, these results from statistical learning theory are derived from the risk which involves an integral over the data which is fundamentaly frequentist, i.e. a frequency guarantee. My intuition is that all guarantees about performance (future data) will involve an integral over the data and therefore Bayesians require frequency guarantees to guarantee performance, but I might be mistaken?

added 1 character in body
Source Link
kjetil b halvorsen
  • 85.6k
  • 32
  • 216
  • 694

After reading Larry Wassermans blog on the difference between Bayesian and Frequentist inference I started to appreciate that frequency gauranteesguarantees can be desirable regardless of the inference method that you choose, since some Bayesian inference methods have frequency gauranteesguarantees.

With that said, assume that I am developing a prediction model for a Business application that will perform a large number of predictions over the next year. Furthermore, the Business requires an estimate of the peformanceperformance (e.g. MSE, accuracy) of this prediction model in order to manage risk.

Is an estiamteestimate of the performance of a (Bayesian or Frequentist) prediction model a frequency gauranteeguarantee of that prediction model? If all estimates of performance are neccesarilynecessarily frequency gauranteesguarantees should frequency gauranteesguarantees not always be desirable for both Bayesians and Frequentists in this Business context?

After reading Larry Wassermans blog on the difference between Bayesian and Frequentist inference I started to appreciate that frequency gaurantees can be desirable regardless of the inference method that you choose, since some Bayesian inference methods have frequency gaurantees.

With that said, assume that I am developing a prediction model for a Business application that will perform a large number of predictions over the next year. Furthermore, the Business requires an estimate of the peformance (e.g. MSE, accuracy) of this prediction model in order to manage risk.

Is an estiamte of the performance of a (Bayesian or Frequentist) prediction model a frequency gaurantee of that prediction model? If all estimates of performance are neccesarily frequency gaurantees should frequency gaurantees not always be desirable for both Bayesians and Frequentists in this Business context?

After reading Larry Wassermans blog on the difference between Bayesian and Frequentist inference I started to appreciate that frequency guarantees can be desirable regardless of the inference method that you choose, since some Bayesian inference methods have frequency guarantees.

With that said, assume that I am developing a prediction model for a Business application that will perform a large number of predictions over the next year. Furthermore, the Business requires an estimate of the performance (e.g. MSE, accuracy) of this prediction model in order to manage risk.

Is an estimate of the performance of a (Bayesian or Frequentist) prediction model a frequency guarantee of that prediction model? If all estimates of performance are necessarily frequency guarantees should frequency guarantees not always be desirable for both Bayesians and Frequentists in this Business context?

Source Link
mtedwards
  • 213
  • 1
  • 5
Loading