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Classification, the process of assigning a label (or class) to an observation given its features, is a common task in many applications. Nonetheless in most real-life applications, the labels can not be fully explained by the observed…

Machine Learning · Statistics 2018-11-07 Johan Barthélemy , Morgane Dumont , Timoteo Carletti

In many problems, the measured variables (e.g., image pixels) are just mathematical functions of the latent causal variables (e.g., the underlying concepts or objects). For the purpose of making predictions in changing environments or…

Machine Learning · Computer Science 2024-08-13 Kun Zhang , Shaoan Xie , Ignavier Ng , Yujia Zheng

Learning governing dynamics from data is a common goal across the sciences, yet it is only well-posed when the underlying mechanisms are identifiable. In practice, many data-driven methods implicitly assume identifiability; when this…

Machine Learning · Computer Science 2026-05-13 Aybüke Ulusarslan , Niki Kilbertus , Nora Schneider

Many scientific and combinatorial problems admit multiple correct solutions, not a single label. Standard supervised learning resolves this ambiguity by choosing one solution as the target, but this hidden selector can be arbitrary,…

Machine Learning · Computer Science 2026-05-11 Caleb Jore , Jialin Liu

Contrastive learning has recently emerged as a promising approach for learning data representations that discover and disentangle the explanatory factors of the data. Previous analyses of such approaches have largely focused on individual…

Machine Learning · Computer Science 2023-11-09 Stefan Matthes , Zhiwei Han , Hao Shen

It is well known that complete prior ignorance is not compatible with learning, at least in a coherent theory of (epistemic) uncertainty. What is less widely known, is that there is a state similar to full ignorance, that Walley calls…

Probability · Mathematics 2008-06-26 Alberto Piatti , Marco Zaffalon , Fabio Trojani , Marcus Hutter

We propose a method for jointly inferring labels across a collection of data samples, where each sample consists of an observation and a prior belief about the label. By implicitly assuming the existence of a generative model for which a…

Machine Learning · Computer Science 2022-06-22 Esther Rolf , Nikolay Malkin , Alexandros Graikos , Ana Jojic , Caleb Robinson , Nebojsa Jojic

Humans have a remarkable ability to disentangle complex sensory inputs (e.g., image, text) into simple factors of variation (e.g., shape, color) without much supervision. This ability has inspired many works that attempt to solve the…

Machine Learning · Computer Science 2024-12-25 Kartik Ahuja , Divyat Mahajan , Vasilis Syrgkanis , Ioannis Mitliagkas

This paper formalizes a latent variable inference problem we call {\em supervised pattern discovery}, the goal of which is to find sets of observations that belong to a single ``pattern.'' We discuss two versions of the problem and prove…

Machine Learning · Statistics 2014-02-10 Jonathan H. Huggins , Cynthia Rudin

While hidden class models of various types arise in many statistical applications, it is often difficult to establish the identifiability of their parameters. Focusing on models in which there is some structure of independence of some of…

Statistics Theory · Mathematics 2009-09-01 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

One of the central aspects of contextualised language models is that they should be able to distinguish the meaning of lexically ambiguous words by their contexts. In this paper we investigate the extent to which the contextualised…

Computation and Language · Computer Science 2021-09-30 Janosch Haber , Massimo Poesio

Remote sensing image segmentation faces persistent challenges in distinguishing morphologically similar categories and adapting to diverse scene variations. While existing methods rely on implicit representation learning paradigms, they…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Xuechao Zou , Yue Li , Shun Zhang , Kai Li , Shiying Wang , Pin Tao , Junliang Xing , Congyan Lang

Disentangled Representation Learning aims to improve the explainability of deep learning methods by training a data encoder that identifies semantically meaningful latent variables in the data generation process. Nevertheless, there is no…

Machine Learning · Computer Science 2024-10-08 Ruoyu Wang , Lina Yao

Juba recently proposed a formulation of learning abductive reasoning from examples, in which both the relative plausibility of various explanations, as well as which explanations are valid, are learned directly from data. The main…

Artificial Intelligence · Computer Science 2017-11-28 Brendan Juba , Zongyi Li , Evan Miller

We study causal representation learning, the task of recovering high-level latent variables and their causal relationships in the form of a causal graph from low-level observed data (such as text and images), assuming access to observations…

Machine Learning · Computer Science 2024-02-06 Jikai Jin , Vasilis Syrgkanis

We present a theory of ensemble diversity, explaining the nature of diversity for a wide range of supervised learning scenarios. This challenge has been referred to as the holy grail of ensemble learning, an open research issue for over 30…

Machine Learning · Computer Science 2024-02-08 Danny Wood , Tingting Mu , Andrew Webb , Henry Reeve , Mikel Luján , Gavin Brown

Intelligent perception and interaction with the world hinges on internal representations that capture its underlying structure (''disentangled'' or ''abstract'' representations). Disentangled representations serve as world models, isolating…

Machine Learning · Computer Science 2025-03-04 Pantelis Vafidis , Aman Bhargava , Antonio Rangel

We consider the problem of diagnosis where a set of simple observations are used to infer a potentially complex hidden hypothesis. Finding the optimal subset of observations is intractable in general, thus we focus on the problem of active…

Artificial Intelligence · Computer Science 2017-07-12 Yewen Pu , Leslie P Kaelbling , Armando Solar-Lezama

Hidden variable graphical models can sometimes imply constraints on the observable distribution that are more complex than simple conditional independence relations. These observable constraints can falsify assumptions of the model that…

Methodology · Statistics 2026-05-12 Michael C. Sachs , Erin E. Gabriel , Robin J. Evans , Arvid Sjölander

Latent traversal is a popular approach to visualize the disentangled latent representations. Given a bunch of variations in a single unit of the latent representation, it is expected that there is a change in a single factor of variation of…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Xinqi Zhu , Chang Xu , Dacheng Tao