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Related papers: Uncertainty Estimates for Ordinal Embeddings

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The development of large databases of material properties, together with the availability of powerful computers, has allowed machine learning (ML) modeling to become a widely used tool for predicting material performances. While confidence…

Materials Science · Physics 2023-10-23 Francesca Tavazza , Kamal Choudhary , Brian DeCost

In stochastic simulation, input uncertainty refers to the output variability arising from the statistical noise in specifying the input models. This uncertainty can be measured by a variance contribution in the output, which, in the…

Methodology · Statistics 2021-05-20 Henry Lam , Huajie Qian

Modern machine learning models typically represent inputs as fixed points in a high-dimensional embedding space. While this approach has been proven powerful for a wide range of downstream tasks, it fundamentally differs from the way humans…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Frieda Born , Tom Neuhäuser , Lukas Muttenthaler , Brett D. Roads , Bernhard Spitzer , Andrew K. Lampinen , Matt Jones , Klaus-Robert Müller , Michael C. Mozer

In this paper, we aim to learn a low-dimensional Euclidean representation from a set of constraints of the form "item j is closer to item i than item k". Existing approaches for this "ordinal embedding" problem require expensive…

Machine Learning · Computer Science 2019-10-29 Nikhil Ghosh , Yuxin Chen , Yisong Yue

Equivariant models leverage prior knowledge on symmetries to improve predictive performance, but misspecified architectural constraints can harm it instead. While work has explored learning or relaxing constraints, selecting among…

Machine Learning · Computer Science 2025-07-16 Putri A. van der Linden , Alexander Timans , Dharmesh Tailor , Erik J. Bekkers

Suppose that we wish to estimate a vector $\mathbf{x}$ from a set of binary paired comparisons of the form "$\mathbf{x}$ is closer to $\mathbf{p}$ than to $\mathbf{q}$" for various choices of vectors $\mathbf{p}$ and $\mathbf{q}$. The…

Machine Learning · Statistics 2021-08-31 Andrew K. Massimino , Mark A. Davenport

This article extends the scope of empirical likelihood methodology in three directions: to allow for plug-in estimates of nuisance parameters in estimating equations, slower than $\sqrt{n}$-rates of convergence, and settings in which there…

Statistics Theory · Mathematics 2009-04-21 Nils Lid Hjort , Ian W. McKeague , Ingrid Van Keilegom

In this paper, we present a method of embedding physics data manifolds with metric structure into lower dimensional spaces with simpler metrics, such as Euclidean and Hyperbolic spaces. We then demonstrate that it can be a powerful step in…

High Energy Physics - Phenomenology · Physics 2023-08-02 Sang Eon Park , Philip Harris , Bryan Ostdiek

Characterizing judgments of similarity within a perceptual or semantic domain, and making inferences about the underlying structure of this domain from these judgments, has an increasingly important role in cognitive and systems…

Neurons and Cognition · Quantitative Biology 2025-08-13 Jonathan D. Victor , Guillermo Aguilar , Suniyya A. Waraich

Despite the success of deep learning on representing images for particular object retrieval, recent studies show that the learned representations still lie on manifolds in a high dimensional space. This makes the Euclidean nearest neighbor…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Ahmet Iscen , Yannis Avrithis , Giorgos Tolias , Teddy Furon , Ondrej Chum

This work proposes an evidence-retrieval mechanism for uncertainty-aware decision-making that replaces a single global cutoff with an evidence-conditioned, instance-adaptive criterion. For each test instance, proximal exemplars are…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Hassan Gharoun , Mohammad Sadegh Khorshidi , Kasra Ranjbarigderi , Fang Chen , Amir H. Gandomi

Model explanations can be valuable for interpreting and debugging predictive models. We study a specific kind called Concept Explanations, where the goal is to interpret a model using human-understandable concepts. Although popular for…

Machine Learning · Computer Science 2024-04-08 Vihari Piratla , Juyeon Heo , Katherine M. Collins , Sukriti Singh , Adrian Weller

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 classification, have been proposed on the basis of second-order…

Machine Learning · Computer Science 2023-12-05 Yusuf Sale , Viktor Bengs , Michele Caprio , Eyke Hüllermeier

Evidential deep learning (EDL) has shown remarkable success in uncertainty estimation. However, there is still room for improvement, particularly in out-of-distribution (OOD) detection and classification tasks. The limited OOD detection…

Machine Learning · Computer Science 2025-10-15 Taeseong Yoon , Heeyoung Kim

Turning pass-through network architectures into iterative ones, which use their own output as input, is a well-known approach for boosting performance. In this paper, we argue that such architectures offer an additional benefit: The…

Artificial Intelligence · Computer Science 2025-05-27 Nikita Durasov , Doruk Oner , Jonathan Donier , Hieu Le , Pascal Fua

We study statistical detection of grayscale objects in noisy images. The object of interest is of unknown shape and has an unknown intensity, that can be varying over the object and can be negative. No boundary shape constraints are imposed…

Statistics Theory · Mathematics 2011-02-24 Mikhail A. Langovoy , Olaf Wittich

Effectively measuring and modeling the reliability of a trained model is essential to the real-world deployment of monocular depth estimation (MDE) models. However, the intrinsic ill-posedness and ordinal-sensitive nature of MDE pose major…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Mochu Xiang , Jing Zhang , Nick Barnes , Yuchao Dai

Uncertainty estimation and ensembling methods go hand-in-hand. Uncertainty estimation is one of the main benchmarks for assessment of ensembling performance. At the same time, deep learning ensembles have provided state-of-the-art results…

Machine Learning · Statistics 2021-07-20 Arsenii Ashukha , Alexander Lyzhov , Dmitry Molchanov , Dmitry Vetrov

Uncertainty estimation is pivotal in machine learning, especially for classification tasks, as it improves the robustness and reliability of models. We introduce a novel `Epistemic Wrapping' methodology aimed at improving uncertainty…

For any constant $d$ and parameter $\varepsilon > 0$, we show the existence of (roughly) $1/\varepsilon^d$ orderings on the unit cube $[0,1)^d$, such that any two points $p,q\in [0,1)^d$ that are close together under the Euclidean metric…

Computational Geometry · Computer Science 2020-04-16 Timothy M. Chan , Sariel Har-Peled , Mitchell Jones