Gradient-based explanations for Gaussian Process regression and
classification models
- URL: http://arxiv.org/abs/2205.12797v1
- Date: Wed, 25 May 2022 14:11:00 GMT
- Title: Gradient-based explanations for Gaussian Process regression and
classification models
- Authors: Sarem Seitz
- Abstract summary: Gaussian Processes (GPs) have proven themselves as a reliable and effective method in probabilistic Machine Learning.
Thanks to recent and current advances, modeling complex data with GPs is becoming more and more feasible.
We see an increasing interest in so-called explainable approaches - methods that aim to make a Machine Learning model's decision process transparent to humans.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Gaussian Processes (GPs) have proven themselves as a reliable and effective
method in probabilistic Machine Learning. Thanks to recent and current
advances, modeling complex data with GPs is becoming more and more feasible.
Thus, these types of models are, nowadays, an interesting alternative to Neural
and Deep Learning methods, which are arguably the current state-of-the-art in
Machine Learning. For the latter, we see an increasing interest in so-called
explainable approaches - in essence methods that aim to make a Machine Learning
model's decision process transparent to humans. Such methods are particularly
needed when illogical or biased reasoning can lead to actual disadvantageous
consequences for humans. Ideally, explainable Machine Learning should help
detect such flaws in a model and aid a subsequent debugging process. One active
line of research in Machine Learning explainability are gradient-based methods,
which have been successfully applied to complex neural networks. Given that GPs
are closed under differentiation, gradient-based explainability for GPs appears
as a promising field of research. This paper is primarily focused on explaining
GP classifiers via gradients where, contrary to GP regression, derivative GPs
are not straightforward to obtain.
Related papers
- Amortized Variational Inference for Deep Gaussian Processes [0.0]
Deep Gaussian processes (DGPs) are multilayer generalizations of Gaussian processes (GPs)
We introduce amortized variational inference for DGPs, which learns an inference function that maps each observation to variational parameters.
Our method performs similarly or better than previous approaches at less computational cost.
arXiv Detail & Related papers (2024-09-18T20:23:27Z) - Data-Driven Abstractions via Binary-Tree Gaussian Processes for Formal Verification [0.22499166814992438]
abstraction-based solutions based on Gaussian process (GP) regression have become popular for their ability to learn a representation of the latent system from data with a quantified error.
We show that the binary-tree Gaussian process (BTGP) allows us to construct an interval Markov chain model of the unknown system.
We provide a delocalized error quantification via a unified formula even when the true dynamics do not live in the function space of the BTGP.
arXiv Detail & Related papers (2024-07-15T11:49:44Z) - Domain Invariant Learning for Gaussian Processes and Bayesian
Exploration [39.83530605880014]
We propose a domain invariant learning algorithm for Gaussian processes (DIL-GP) with a min-max optimization on the likelihood.
Numerical experiments demonstrate the superiority of DIL-GP for predictions on several synthetic and real-world datasets.
arXiv Detail & Related papers (2023-12-18T16:13:34Z) - Model-Based Reparameterization Policy Gradient Methods: Theory and
Practical Algorithms [88.74308282658133]
Reization (RP) Policy Gradient Methods (PGMs) have been widely adopted for continuous control tasks in robotics and computer graphics.
Recent studies have revealed that, when applied to long-term reinforcement learning problems, model-based RP PGMs may experience chaotic and non-smooth optimization landscapes.
We propose a spectral normalization method to mitigate the exploding variance issue caused by long model unrolls.
arXiv Detail & Related papers (2023-10-30T18:43:21Z) - Generalizing Backpropagation for Gradient-Based Interpretability [103.2998254573497]
We show that the gradient of a model is a special case of a more general formulation using semirings.
This observation allows us to generalize the backpropagation algorithm to efficiently compute other interpretable statistics.
arXiv Detail & Related papers (2023-07-06T15:19:53Z) - Linear Time GPs for Inferring Latent Trajectories from Neural Spike
Trains [7.936841911281107]
We propose cvHM, a general inference framework for latent GP models leveraging Hida-Mat'ern kernels and conjugate variational inference (CVI)
We are able to perform variational inference of latent neural trajectories with linear time complexity for arbitrary likelihoods.
arXiv Detail & Related papers (2023-06-01T16:31:36Z) - MACE: An Efficient Model-Agnostic Framework for Counterfactual
Explanation [132.77005365032468]
We propose a novel framework of Model-Agnostic Counterfactual Explanation (MACE)
In our MACE approach, we propose a novel RL-based method for finding good counterfactual examples and a gradient-less descent method for improving proximity.
Experiments on public datasets validate the effectiveness with better validity, sparsity and proximity.
arXiv Detail & Related papers (2022-05-31T04:57:06Z) - Inducing Gaussian Process Networks [80.40892394020797]
We propose inducing Gaussian process networks (IGN), a simple framework for simultaneously learning the feature space as well as the inducing points.
The inducing points, in particular, are learned directly in the feature space, enabling a seamless representation of complex structured domains.
We report on experimental results for real-world data sets showing that IGNs provide significant advances over state-of-the-art methods.
arXiv Detail & Related papers (2022-04-21T05:27:09Z) - Non-Gaussian Gaussian Processes for Few-Shot Regression [71.33730039795921]
We propose an invertible ODE-based mapping that operates on each component of the random variable vectors and shares the parameters across all of them.
NGGPs outperform the competing state-of-the-art approaches on a diversified set of benchmarks and applications.
arXiv Detail & Related papers (2021-10-26T10:45:25Z) - Incremental Ensemble Gaussian Processes [53.3291389385672]
We propose an incremental ensemble (IE-) GP framework, where an EGP meta-learner employs an it ensemble of GP learners, each having a unique kernel belonging to a prescribed kernel dictionary.
With each GP expert leveraging the random feature-based approximation to perform online prediction and model update with it scalability, the EGP meta-learner capitalizes on data-adaptive weights to synthesize the per-expert predictions.
The novel IE-GP is generalized to accommodate time-varying functions by modeling structured dynamics at the EGP meta-learner and within each GP learner.
arXiv Detail & Related papers (2021-10-13T15:11:25Z) - Gone Fishing: Neural Active Learning with Fisher Embeddings [55.08537975896764]
There is an increasing need for active learning algorithms that are compatible with deep neural networks.
This article introduces BAIT, a practical representation of tractable, and high-performing active learning algorithm for neural networks.
arXiv Detail & Related papers (2021-06-17T17:26:31Z) - Deep Gaussian Processes for Biogeophysical Parameter Retrieval and Model
Inversion [14.097477944789484]
This paper introduces the use of deep Gaussian Processes (DGPs) for bio-geo-physical model inversion.
Unlike shallow GP models, DGPs account for complicated (modular, hierarchical) processes, provide an efficient solution that scales well to big datasets.
arXiv Detail & Related papers (2021-04-16T10:42:01Z) - GP-Tree: A Gaussian Process Classifier for Few-Shot Incremental Learning [23.83961717568121]
GP-Tree is a novel method for multi-class classification with Gaussian processes and deep kernel learning.
We develop a tree-based hierarchical model in which each internal node fits a GP to the data.
Our method scales well with both the number of classes and data size.
arXiv Detail & Related papers (2021-02-15T22:16:27Z) - Modulating Scalable Gaussian Processes for Expressive Statistical
Learning [25.356503463916816]
Gaussian process (GP) is interested in learning the statistical relationship between inputs and outputs, since it offers not only the prediction mean but also the associated variability.
This article studies new scalable GP paradigms including the non-stationary heteroscedastic GP, the mixture of GPs and the latent GP, which introduce additional latent variables to modulate the outputs or inputs in order to learn richer, non-Gaussian statistical representation.
arXiv Detail & Related papers (2020-08-29T06:41:45Z) - Applying Genetic Programming to Improve Interpretability in Machine
Learning Models [0.3908287552267639]
We propose a Genetic Programming (GP) based approach, named Genetic Programming Explainer (GPX)
The method generates a noise set located in the neighborhood of the point of interest, whose prediction should be explained, and fits a local explanation model for the analyzed sample.
Our results indicate that the GPX is able to produce more accurate understanding of complex models than the state of the art.
arXiv Detail & Related papers (2020-05-18T16:09:49Z) - The data-driven physical-based equations discovery using evolutionary
approach [77.34726150561087]
We describe the algorithm for the mathematical equations discovery from the given observations data.
The algorithm combines genetic programming with the sparse regression.
It could be used for governing analytical equation discovery as well as for partial differential equations (PDE) discovery.
arXiv Detail & Related papers (2020-04-03T17:21:57Z) - SLEIPNIR: Deterministic and Provably Accurate Feature Expansion for
Gaussian Process Regression with Derivatives [86.01677297601624]
We propose a novel approach for scaling GP regression with derivatives based on quadrature Fourier features.
We prove deterministic, non-asymptotic and exponentially fast decaying error bounds which apply for both the approximated kernel as well as the approximated posterior.
arXiv Detail & Related papers (2020-03-05T14:33:20Z) - Transport Gaussian Processes for Regression [0.22843885788439797]
We propose a methodology to construct processes, which include GPs, warped GPs, Student-t processes and several others.
Our approach is inspired by layers-based models, where each proposed layer changes a specific property over the generated process.
We validate the proposed model through experiments with real-world data.
arXiv Detail & Related papers (2020-01-30T17:44:21Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.