Rashomon Alignment
- URL: http://arxiv.org/abs/2607.25680v1
- Date: Tue, 28 Jul 2026 12:55:57 GMT
- Title: Rashomon Alignment
- Abstract summary: Rashomon Alignment (RA) is a new measure to assess functional similarity between two models.<n>RA can be used for multiple purposes, including model selection, ensemble construction, and enhanced interpretability of machine learning models and algorithms.
- Score: 6.742113963639309
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We propose Rashomon Alignment (RA), a new measure to assess functional similarity between two models. Existing functional similarity measures are distributional, quantifying differences between outputs of models applied to real-world data. However, these measures can be regarded as ecologically valid only for regions in the input space represented by the available data. We introduce a geometrical perspective on functional model similarity, which estimates it across the entire data space, offering a comprehensive view of decision boundary alignment independent of any specific data distribution. We also propose geometric Rashomon Alignment as a measure of geometrical similarity, which is computed using data uniformly sampled from the instance space. We perform an experimental analysis on more than 90 datasets, examining critical cases where model alignment diverges from predictive accuracy. Our results show that geometrical and distributional alignment provide different and complementary perspectives on the similarity between models and algorithms. RA can be used for multiple purposes, including model selection, ensemble construction, and enhanced interpretability of machine learning models and algorithms.
Related papers
- Efficient Covariance Estimation for Sparsified Functional Data [51.69796254617083]
proposed Random-knots (Random-knots-Spatial) and B-spline (Bspline-Spatial) estimators of the covariance function are computationally efficient.<n>Asymptotic pointwise of the covariance are obtained for sparsified individual trajectories under some regularity conditions.
arXiv Detail & Related papers (2025-11-23T00:50:33Z) - Nonparametric Data Attribution for Diffusion Models [57.820618036556084]
Data attribution for generative models seeks to quantify the influence of individual training examples on model outputs.<n>We propose a nonparametric attribution method that operates entirely on data, measuring influence via patch-level similarity between generated and training images.
arXiv Detail & Related papers (2025-10-16T03:37:16Z) - Connecting Neural Models Latent Geometries with Relative Geodesic Representations [21.71782603770616]
We show that when a latent structure is shared between distinct latent spaces, relative distances between representations can be preserved, up to distortions.<n>We assume that distinct neural models parametrize approximately the same underlying manifold, and introduce a representation based on the pullback metric.<n>We validate our method on model stitching and retrieval tasks, covering autoencoders and vision foundation discriminative models.
arXiv Detail & Related papers (2025-06-02T12:34:55Z) - (Deep) Generative Geodesics [57.635187092922976]
We introduce a newian metric to assess the similarity between any two data points.
Our metric leads to the conceptual definition of generative distances and generative geodesics.
Their approximations are proven to converge to their true values under mild conditions.
arXiv Detail & Related papers (2024-07-15T21:14:02Z) - Topological Parallax: A Geometric Specification for Deep Perception
Models [0.778001492222129]
We introduce topological parallax as a theoretical and computational tool that compares a trained model to a reference dataset.
Our examples show that this geometric similarity between dataset and model is essential to trustworthy and perturbation.
This new concept will add value to the current debate regarding the unclear relationship between overfitting and generalization in applications of deep-learning.
arXiv Detail & Related papers (2023-06-20T18:45:24Z) - Revisiting the Evaluation of Image Synthesis with GANs [55.72247435112475]
This study presents an empirical investigation into the evaluation of synthesis performance, with generative adversarial networks (GANs) as a representative of generative models.
In particular, we make in-depth analyses of various factors, including how to represent a data point in the representation space, how to calculate a fair distance using selected samples, and how many instances to use from each set.
arXiv Detail & Related papers (2023-04-04T17:54:32Z) - VTAE: Variational Transformer Autoencoder with Manifolds Learning [144.0546653941249]
Deep generative models have demonstrated successful applications in learning non-linear data distributions through a number of latent variables.
The nonlinearity of the generator implies that the latent space shows an unsatisfactory projection of the data space, which results in poor representation learning.
We show that geodesics and accurate computation can substantially improve the performance of deep generative models.
arXiv Detail & Related papers (2023-04-03T13:13:19Z) - Score Approximation, Estimation and Distribution Recovery of Diffusion
Models on Low-Dimensional Data [68.62134204367668]
This paper studies score approximation, estimation, and distribution recovery of diffusion models, when data are supported on an unknown low-dimensional linear subspace.
We show that with a properly chosen neural network architecture, the score function can be both accurately approximated and efficiently estimated.
The generated distribution based on the estimated score function captures the data geometric structures and converges to a close vicinity of the data distribution.
arXiv Detail & Related papers (2023-02-14T17:02:35Z) - Learning to Bound Counterfactual Inference in Structural Causal Models
from Observational and Randomised Data [64.96984404868411]
We derive a likelihood characterisation for the overall data that leads us to extend a previous EM-based algorithm.
The new algorithm learns to approximate the (unidentifiability) region of model parameters from such mixed data sources.
It delivers interval approximations to counterfactual results, which collapse to points in the identifiable case.
arXiv Detail & Related papers (2022-12-06T12:42:11Z) - Approximating Intersections and Differences Between Linear Statistical
Shape Models Using Markov Chain Monte Carlo [5.8691349601057325]
We present a new method to compare two linear SSMs in dense correspondence.
We approximate the distribution of shapes lying in the intersection space using Markov chain Monte Carlo.
We showcase the proposed algorithm qualitatively by computing and analyzing intersection spaces and differences between publicly available face models.
arXiv Detail & Related papers (2022-11-29T15:54:34Z) - Isometric Gaussian Process Latent Variable Model for Dissimilarity Data [0.0]
We present a probabilistic model where the latent variable respects both the distances and the topology of the modeled data.
The model is inferred by variational inference based on observations of pairwise distances.
arXiv Detail & Related papers (2020-06-21T08:56:18Z)
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.