activity
20232026
most citedExplaining Bayesian Optimization by Shapley Values Facilitates Human-AI Collaboration

4 citations · 8 across the 19 of their papers we have counts for

collaborators

19 papers

cs.LG2026

What Uncertainties Do We Need for Dynamical Systems?

Yusuf Sale, Christopher Bülte, Felix Czaja +2

The distinction between aleatoric and epistemic uncertainty has received considerable attention in machine learning research, mainly in the context of supervised learning but also…

cs.AI2026

Position: agentic AI orchestration should be Bayes-consistent

Theodore Papamarkou, Pierre Alquier, Matthias Bauer +27

LLMs excel at predictive tasks and complex reasoning tasks, but many high-value deployments rely on decisions under uncertainty, for example, which tool to call, which expert to co…

cs.LG2026

Efficient Credal Prediction through Decalibration

Paul Hofman, Timo Löhr, Maximilian Muschalik +2

A reliable representation of uncertainty is essential for the application of modern machine learning methods in safety-critical settings. In this regard, the use of credal sets (i.…

cs.AI2026

Quantification of Credal Uncertainty: A Distance-Based Approach

Xabier Gonzalez-Garcia, Siu Lun Chau, Julian Rodemann +6

Credal sets, i.e., closed convex sets of probability measures, provide a natural framework to represent aleatoric and epistemic uncertainty in machine learning. Yet how to quantify…

cs.LG2026

Beyond Prediction-Set Size: Quantifying Conformal Uncertainty through Credal Geometry

Siu Lun Chau, Soroush H. Zargarbashi, Yusuf Sale +1

Prediction-set size offers a coarse summary of conformal uncertainty. We develop a richer perspective through the geometry of credal sets: families of probability distributions com…

cs.LG2025

Uncertainty Quantification for Machine Learning: One Size Does Not Fit All

Paul Hofman, Yusuf Sale, Eyke Hüllermeier

Proper quantification of predictive uncertainty is essential for the use of machine learning in safety-critical applications. Various uncertainty measures have been proposed for th…

cs.LG2025

Uncertainty Quantification for Regression: A Unified Framework based on kernel scores

Christopher Bülte, Yusuf Sale, Gitta Kutyniok +1

Regression tasks, notably in safety-critical domains, require reliable uncertainty quantification, yet the literature remains largely classification-focused. To address this, we in…

cs.LG2025

Uncertainty Quantification with Proper Scoring Rules: Adjusting Measures to Prediction Tasks

Paul Hofman, Yusuf Sale, Eyke Hüllermeier

We address the problem of uncertainty quantification and propose measures of total, aleatoric, and epistemic uncertainty based on a known decomposition of (strictly) proper scoring…

cs.LG2025

An Axiomatic Assessment of Entropy- and Variance-based Uncertainty Quantification in Regression

Christopher Bülte, Yusuf Sale, Timo Löhr +3

Uncertainty quantification is crucial in machine learning, yet most (axiomatic) studies of uncertainty measures focus on classification, leaving a gap in regression settings with l…

stat.ML2025

Conformal Prediction Regions are Imprecise Highest Density Regions

Michele Caprio, Yusuf Sale, Eyke Hüllermeier

Recently, Cella and Martin proved how, under an assumption called consonance, a credal set (i.e. a closed and convex set of probabilities) can be derived from the conformal transdu…

stat.ML2025★ 1 cited

Conformal Prediction in Hierarchical Classification with Constrained Representation Complexity

Thomas Mortier, Alireza Javanmardi, Yusuf Sale +2

Conformal prediction has emerged as a widely used framework for constructing valid prediction sets in classification and regression tasks. In this work, we extend the split conform…

cs.LG2024

Label-wise Aleatoric and Epistemic Uncertainty Quantification

Yusuf Sale, Paul Hofman, Timo Löhr +3

We present a novel approach to uncertainty quantification in classification tasks based on label-wise decomposition of uncertainty measures. This label-wise perspective allows unce…

cs.LG2024★ 2 cited

Quantifying Aleatoric and Epistemic Uncertainty with Proper Scoring Rules

Paul Hofman, Yusuf Sale, Eyke Hüllermeier

Uncertainty representation and quantification are paramount in machine learning and constitute an important prerequisite for safety-critical applications. In this paper, we propose…

cs.LG2024★ 4 cited

Explaining Bayesian Optimization by Shapley Values Facilitates Human-AI Collaboration

Julian Rodemann, Federico Croppi, Philipp Arens +7

Bayesian optimization (BO) with Gaussian processes (GP) has become an indispensable algorithm for black box optimization problems. Not without a dash of irony, BO is often consider…

cs.LG2023★ 1 cited

Second-Order Uncertainty Quantification: Variance-Based Measures

Yusuf Sale, Paul Hofman, Lisa Wimmer +2

Uncertainty quantification is a critical aspect of machine learning models, providing important insights into the reliability of predictions and aiding the decision-making process…

cs.LG2023

Second-Order Uncertainty Quantification: A Distance-Based Approach

Yusuf Sale, Viktor Bengs, Michele Caprio +1

In the past couple of years, various approaches to representing and quantifying different types of predictive uncertainty in machine learning, notably in the setting of classificat…

stat.ML2023

A Novel Bayes' Theorem for Upper Probabilities

Michele Caprio, Yusuf Sale, Eyke Hüllermeier +1

In their seminal 1990 paper, Wasserman and Kadane establish an upper bound for the Bayes' posterior probability of a measurable set , when the prior lies in a class of probabili…

cs.LG2023

Is the Volume of a Credal Set a Good Measure for Epistemic Uncertainty?

Yusuf Sale, Michele Caprio, Eyke Hüllermeier

Adequate uncertainty representation and quantification have become imperative in various scientific disciplines, especially in machine learning and artificial intelligence. As an a…

cs.LG2023

Conformal Prediction with Partially Labeled Data

Alireza Javanmardi, Yusuf Sale, Paul Hofman +1

While the predictions produced by conformal prediction are set-valued, the data used for training and calibration is supposed to be precise. In the setting of superset learning or…