# New sensitivity analysis subordinated to a contrast

arXiv: https://arxiv.org/abs/1305.2329 · HTML: https://mlsanity.com/paper/1305.2329/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 10 May 2013.

## Built on by (most cited first, 3 of 3)

- [Making Sense of Dependence: Efficient Black-box Explanations Using Dependence Measure](https://mlsanity.com/paper/2206.06219/) (2022)
- [Goal-Oriented Sensitivity Analysis of Hyperparameters in Deep Learning](https://mlsanity.com/paper/2207.06216/) (2022)
- [A new paradigm for global sensitivity analysis](https://mlsanity.com/paper/2409.06271/) (2024)

## Abstract (arXiv)

In a model of the form Y=h(X1,ldots,Xd) where the goal is to estimate a parameter of the probability distribution of Y, we define new sensitivity indices which quantify the importance of each variable Xi with respect to this parameter of interest. The aim of this paper is to define it goal oriented sensitivity indices and we will show that Sobol indices are sensitivity indices associated to a particular characteristic of the distribution Y. We name the framework we present as it Goal Oriented Sensitivity Analysis (GOSA).