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In any given machine learning problem, there may be many models that could explain the data almost equally well. However, most learning algorithms return only one of these models, leaving practitioners with no practical way to explore…

Machine Learning · Computer Science 2022-10-27 Rui Xin , Chudi Zhong , Zhi Chen , Takuya Takagi , Margo Seltzer , Cynthia Rudin

Today, as increasingly complex predictive models are developed, simple rule sets remain a crucial tool to obtain interpretable predictions and drive high-stakes decision making. However, a single rule set provides a partial representation…

Machine Learning · Computer Science 2024-06-06 Martino Ciaperoni , Han Xiao , Aristides Gionis

It is almost always easier to find an accurate-but-complex model than an accurate-yet-simple model. Finding optimal, sparse, accurate models of various forms (linear models with integer coefficients, decision sets, rule lists, decision…

Machine Learning · Computer Science 2022-05-16 Lesia Semenova , Cynthia Rudin , Ronald Parr

Creating models from past observations and ensuring their effectiveness on new data is the essence of machine learning. However, selecting models that generalize well remains a challenging task. Related to this topic, the Rashomon Effect…

Machine Learning · Computer Science 2025-10-14 Gianlucca Zuin , Adriano Veloso

Predictive multiplicity refers to the phenomenon in which classification tasks may admit multiple competing models that achieve almost-equally-optimal performance, yet generate conflicting outputs for individual samples. This presents…

Machine Learning · Computer Science 2024-02-02 Hsiang Hsu , Guihong Li , Shaohan Hu , Chun-Fu , Chen

Machine learning models now influence decisions that directly affect people's lives, making it important to understand not only their predictions, but also how individuals could act to obtain better results. Algorithmic recourse provides…

Machine Learning · Computer Science 2026-02-10 Bohdan Turbal , Iryna Voitsitska , Lesia Semenova

Different prediction models might perform equally well (Rashomon set) in the same task, but offer conflicting interpretations and conclusions about the data. The Rashomon effect in the context of Explainable AI (XAI) has been recognized as…

Machine Learning · Computer Science 2024-07-29 Sichao Li , Amanda S. Barnard , Quanling Deng

Rashomon sets are model sets within one model class that perform nearly as well as a reference model from the same model class. They reveal the existence of alternative well-performing models, which may support different interpretations.…

Machine Learning · Computer Science 2026-03-17 Fiona Katharina Ewald , Martin Binder , Matthias Feurer , Bernd Bischl , Giuseppe Casalicchio

The machine learning modeling process conventionally culminates in selecting a single model that maximizes a selected performance metric. However, this approach leads to abandoning a more profound analysis of slightly inferior models.…

Machine Learning · Computer Science 2024-10-28 Katarzyna Kobylińska , Mateusz Krzyziński , Rafał Machowicz , Mariusz Adamek , Przemysław Biecek

The Rashomon effect describes the observation that in machine learning (ML) multiple models often achieve similar predictive performance while explaining the underlying relationships in different ways. This observation holds even for…

Machine Learning · Computer Science 2025-05-13 Julian Rosenberger , Philipp Schröppel , Sven Kruschel , Mathias Kraus , Patrick Zschech , Maximilian Förster

The Rashomon Effect describes the following phenomenon: for a given dataset there may exist many models with equally good performance but with different solution strategies. The Rashomon Effect has implications for Explainable Machine…

Machine Learning · Computer Science 2023-06-30 Sebastian Müller , Vanessa Toborek , Katharina Beckh , Matthias Jakobs , Christian Bauckhage , Pascal Welke

Automated machine learning systems efficiently streamline model selection but often focus on a single best-performing model, overlooking explanation uncertainty, an essential concern in human centered explainable AI. To address this, we…

Machine Learning · Computer Science 2025-10-07 Mustafa Cavus , Jan N. van Rijn , Przemysław Biecek

The existence of multiple, equally accurate models for a given predictive task leads to predictive multiplicity, where a ``Rashomon set'' of models achieve similar accuracy but diverges in their individual predictions. This inconsistency…

Machine Learning · Computer Science 2026-05-19 Parian Haghighat , Hadis Anahideh , Cynthia Rudin

Approximating the set of reachable states of a dynamical system is an algorithmic yet mathematically rigorous way to reason about its safety. Although progress has been made in the development of efficient algorithms for affine dynamical…

Systems and Control · Computer Science 2022-05-03 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Andreas Podelski , Christian Schilling , Frédéric Viry

The Rashomon effect -- the existence of multiple, distinct models that achieve nearly equivalent predictive performance -- has emerged as a fundamental phenomenon in modern machine learning and statistics. In this paper, we explore the…

Machine Learning · Computer Science 2026-01-15 Harsh Parikh

Nowadays, analysing data from different classes or over a temporal grid has attracted a great deal of interest. As a result, various multiple graphical models for learning a collection of graphical models simultaneously have been derived by…

Optimization and Control · Mathematics 2021-04-23 Ning Zhang , Yangjing Zhang , Defeng Sun , Kim-Chuan Toh

We consider adaptive approximations of the parameter-to-solution map for elliptic operator equations depending on a large or infinite number of parameters, comparing approximation strategies of different degrees of nonlinearity: sparse…

Numerical Analysis · Mathematics 2017-04-04 Markus Bachmayr , Albert Cohen , Wolfgang Dahmen

The usual goal of supervised learning is to find the best model, the one that optimizes a particular performance measure. However, what if the explanation provided by this model is completely different from another model and different again…

Machine Learning · Statistics 2024-09-11 Przemyslaw Biecek , Hubert Baniecki , Mateusz Krzyzinski , Dianne Cook

Models for near-rigid shape matching are typically based on distance-related features, in order to infer matches that are consistent with the isometric assumption. However, real shapes from image datasets, even when expected to be related…

Computer Vision and Pattern Recognition · Computer Science 2008-09-23 Julian J. McAuley , Tiberio S. Caetano , Alexander J. Smola

Sparse expert models are a thirty-year old concept re-emerging as a popular architecture in deep learning. This class of architecture encompasses Mixture-of-Experts, Switch Transformers, Routing Networks, BASE layers, and others, all with…

Machine Learning · Computer Science 2022-09-07 William Fedus , Jeff Dean , Barret Zoph
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