Partial Dependence Plots (PDP) offer a visual way to understand and validate machine learning models by illustrating the relationship between features and predictions.
Machine learning models can be complex and difficult to interpret, especially for those who are not experts in the field. Partial Dependence Plots (PDP) provide a solution to this problem by offering a visual representation of the relationship between a model's features and its predictions. This helps developers and other non-experts gain insights into the model's behavior and validate its performance.
PDPs have been widely used in various applications, such as model selection, bias detection, understanding out-of-sample behavior, and exploring the latent space of generative models. However, PDPs have some limitations, including the need for manual sorting or selection of interesting plots and the restriction to single-feature plots. To address these issues, researchers have developed methods like Automated Dependence Plots (ADP) and Individual Conditional Expectation (ICE) plots, which extend PDPs to show model responses along arbitrary directions and for individual observations, respectively.
Recent research has also focused on improving the interpretability and reliability of PDPs in the context of hyperparameter optimization and feature importance estimation. For example, one study introduced a variant of PDP with estimated confidence bands, leveraging the posterior uncertainty of the Bayesian optimization surrogate model. Another study proposed a conditional subgroup approach for PDPs, which allows for a more fine-grained interpretation of feature effects and importance within the subgroups.
Practical applications of PDPs can be found in various domains, such as international migration modeling, manufacturing predictive process monitoring, and performance comparisons of supervised machine learning algorithms. In these cases, PDPs have been used to gain insights into the effects of drivers behind the phenomena being studied and to assess the performance of different machine learning models.
In conclusion, Partial Dependence Plots (PDP) serve as a valuable tool for understanding and validating machine learning models, especially for non-experts. By providing a visual representation of the relationship between features and predictions, PDPs help developers and other stakeholders gain insights into the model's behavior and make more informed decisions. As research continues to improve PDPs and related methods, their utility in various applications is expected to grow.

Partial Dependence Plots (PDP)
Partial Dependence Plots (PDP) Further Reading
1.Automated Dependence Plots http://arxiv.org/abs/1912.01108v3 David I. Inouye, Liu Leqi, Joon Sik Kim, Bryon Aragam, Pradeep Ravikumar2.Peeking Inside the Black Box: Visualizing Statistical Learning with Plots of Individual Conditional Expectation http://arxiv.org/abs/1309.6392v2 Alex Goldstein, Adam Kapelner, Justin Bleich, Emil Pitkin3.Explaining Hyperparameter Optimization via Partial Dependence Plots http://arxiv.org/abs/2111.04820v2 Julia Moosbauer, Julia Herbinger, Giuseppe Casalicchio, Marius Lindauer, Bernd Bischl4.How Much Can We See? A Note on Quantifying Explainability of Machine Learning Models http://arxiv.org/abs/1910.13376v2 Gero Szepannek5.Bringing a Ruler Into the Black Box: Uncovering Feature Impact from Individual Conditional Expectation Plots http://arxiv.org/abs/2109.02724v1 Andrew Yeh, Anhthy Ngo6.Using an interpretable Machine Learning approach to study the drivers of International Migration http://arxiv.org/abs/2006.03560v1 Harold Silvère Kiossou, Yannik Schenk, Frédéric Docquier, Vinasetan Ratheil Houndji, Siegfried Nijssen, Pierre Schaus7.Model-agnostic Feature Importance and Effects with Dependent Features -- A Conditional Subgroup Approach http://arxiv.org/abs/2006.04628v2 Christoph Molnar, Gunnar König, Bernd Bischl, Giuseppe Casalicchio8.Communicating Uncertainty in Machine Learning Explanations: A Visualization Analytics Approach for Predictive Process Monitoring http://arxiv.org/abs/2304.05736v1 Nijat Mehdiyev, Maxim Majlatow, Peter Fettke9.Performance and Interpretability Comparisons of Supervised Machine Learning Algorithms: An Empirical Study http://arxiv.org/abs/2204.12868v2 Alice J. Liu, Arpita Mukherjee, Linwei Hu, Jie Chen, Vijayan N. Nair10.Fooling Partial Dependence via Data Poisoning http://arxiv.org/abs/2105.12837v3 Hubert Baniecki, Wojciech Kretowicz, Przemyslaw BiecekPartial Dependence Plots (PDP) Frequently Asked Questions
What is a Partial Dependence Plot (PDP)?
A Partial Dependence Plot (PDP) is a graphical representation that illustrates the relationship between a feature and the predicted outcome of a machine learning model. It helps in understanding the effect of a single feature on the model's predictions while averaging out the influence of other features. PDPs are useful for interpreting complex models and validating their performance, especially for non-experts.
How do Partial Dependence Plots work?
Partial Dependence Plots work by isolating the effect of a single feature on the model's predictions. To create a PDP, the model's predictions are calculated for a range of values for the chosen feature while keeping the other features constant. The average prediction for each value of the feature is then plotted, resulting in a curve that shows the relationship between the feature and the predicted outcome.
What are the limitations of Partial Dependence Plots?
Partial Dependence Plots have some limitations, including: 1. They only show the relationship between a single feature and the model's predictions, which may not capture complex interactions between features. 2. They require manual sorting or selection of interesting plots, which can be time-consuming and subjective. 3. They assume that the other features are independent of the feature being plotted, which may not always be true.
What are Automated Dependence Plots (ADP)?
Automated Dependence Plots (ADP) are an extension of Partial Dependence Plots that automatically select and display the most important features and their relationships with the model's predictions. ADP addresses the limitation of manual sorting or selection of interesting plots in PDPs, making it easier to identify and visualize the most relevant features in a model.
What are Individual Conditional Expectation (ICE) plots?
Individual Conditional Expectation (ICE) plots are another extension of Partial Dependence Plots that show the model's response for individual observations instead of averaging the predictions across all observations. ICE plots help in understanding the heterogeneity of the model's predictions and can reveal insights about the model's behavior that may not be apparent from PDPs alone.
How can I create Partial Dependence Plots in Python?
In Python, you can create Partial Dependence Plots using libraries like `pdpbox`, `plotly`, and `sklearn`. The `pdpbox` library provides a dedicated module for creating PDPs, while `plotly` and `sklearn` offer more general plotting capabilities that can be used to create PDPs. To create a PDP, you'll need to fit a machine learning model to your data and then use one of these libraries to visualize the relationship between the features and the model's predictions.
Can Partial Dependence Plots be used with any machine learning model?
Yes, Partial Dependence Plots can be used with any machine learning model that produces predictions based on input features. PDPs are model-agnostic, meaning they can be applied to a wide range of models, including linear regression, decision trees, random forests, and neural networks. However, the interpretation of PDPs may vary depending on the complexity and assumptions of the underlying model.
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