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The form and justification of inductive inference rules depend strongly on the representation of uncertainty. This paper examines one generic representation, namely, incomplete information. The notion can be formalized by presuming that the…

Artificial Intelligence · Computer Science 2013-04-15 Norman C. Dalkey

In Model-based Reinforcement Learning (MBRL), model learning is critical since an inaccurate model can bias policy learning via generating misleading samples. However, learning an accurate model can be difficult since the policy is…

Machine Learning · Computer Science 2023-01-23 Zifan Wu , Chao Yu , Chen Chen , Jianye Hao , Hankz Hankui Zhuo

Large language models (LLMs) are increasingly used in high-stakes settings, where explaining uncertainty is both technical and ethical. Probabilistic methods are often opaque and misaligned with expectations of transparency. We propose a…

Computation and Language · Computer Science 2025-09-10 Zahra Atf , Peter R Lewis

If uncertainty is modelled by a probability measure, decisions are typically made by choosing the option with the highest expected utility. If an imprecise probability model is used instead, this decision rule can be generalised in several…

Artificial Intelligence · Computer Science 2020-03-27 Jasper De Bock

We study the problem of choosing optimal policy rules in uncertain environments using models that may be incomplete and/or partially identified. We consider a policymaker who wishes to choose a policy to maximize a particular counterfactual…

Econometrics · Economics 2020-12-22 Thomas M. Russell

Decision-making under uncertainty and causal thinking are fundamental aspects of intelligent reasoning. Decision-making has been well studied when the available information is considered at the associative (probabilistic) level. The…

Artificial Intelligence · Computer Science 2026-04-30 Mauricio Gonzalez Soto , David Danks , Hugo J. Escalante Balderas , L. Enrique Sucar

Building invariance to non-meaningful transformations is essential to building efficient and generalizable machine learning models. In practice, the most common way to learn invariance is through data augmentation. There has been recent…

Machine Learning · Computer Science 2021-06-09 Scott Mahan , Henry Kvinge , Tim Doster

In model-based reinforcement learning, simulated experiences from the learned model are often treated as equivalent to experience from the real environment. However, when the model is inaccurate, it can catastrophically interfere with…

Machine Learning · Computer Science 2024-06-25 Erin J. Talvitie , Zilei Shao , Huiying Li , Jinghan Hu , Jacob Boerma , Rory Zhao , Xintong Wang

Uncertainty estimation in machine learning has traditionally focused on the prediction stage, aiming to quantify confidence in model outputs while treating learned representations as deterministic and reliable by default. In this work, we…

Machine Learning · Statistics 2026-02-20 Yiyao Yang

Deterministic neural nets have been shown to learn effective predictors on a wide range of machine learning problems. However, as the standard approach is to train the network to minimize a prediction loss, the resultant model remains…

Machine Learning · Computer Science 2018-11-02 Murat Sensoy , Lance Kaplan , Melih Kandemir

We develop a theory of estimation when in addition to a sample of $n$ observed outcomes the underlying probabilities of the observed outcomes are known, as is typically the case in the context of numerical simulation modeling, e.g. in…

Methodology · Statistics 2023-04-14 Jobst Heitzig

In real-world scenarios, typical visual recognition systems could fail under two major causes, i.e., the misclassification between known classes and the excusable misbehavior on unknown-class images. To tackle these deficiencies, flexible…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 Lei Fan , Bo Liu , Haoxiang Li , Ying Wu , Gang Hua

Whereas cognitive models of learning often assume direct experience with both the features of an event and with a true label or outcome, much of everyday learning arises from hearing the opinions of others, without direct access to either…

Artificial Intelligence · Computer Science 2025-12-05 Yun-Shiuan Chuang , Jerry Zhu , Timothy T. Rogers

Bayesian model comparison (BMC) offers a principled probabilistic approach to study and rank competing models. In standard BMC, we construct a discrete probability distribution over the set of possible models, conditional on the observed…

Machine Learning · Statistics 2023-02-22 Marvin Schmitt , Stefan T. Radev , Paul-Christian Bürkner

Learning from Label Proportions (LLP) is a learning setting, where the training data is provided in groups, or "bags", and only the proportion of each class in each bag is known. The task is to learn a model to predict the class labels of…

Machine Learning · Statistics 2015-02-13 Felix X. Yu , Krzysztof Choromanski , Sanjiv Kumar , Tony Jebara , Shih-Fu Chang

Clinical decision requires reasoning in the presence of imperfect data. DTs are a well-known decision support tool, owing to their interpretability, fundamental in safety-critical contexts such as medical diagnosis. However, learning DTs…

It is well known that accurate probabilistic predictors can be trained through empirical risk minimisation with proper scoring rules as loss functions. While such learners capture so-called aleatoric uncertainty of predictions, various…

Machine Learning · Computer Science 2023-01-31 Viktor Bengs , Eyke Hüllermeier , Willem Waegeman

Living organisms survive and multiply even though they have uncertain and incomplete information about their environment and imperfect models to predict the consequences of their actions. Bayesian models have been proposed to face this…

Emerging Technologies · Computer Science 2015-11-13 Jacques Droulez , David Colliaux , Audrey Houillon , Pierre Bessière

Learning, especially rapid learning, is critical for survival. However, learning is hard: a large number of synaptic weights must be set based on noisy, often ambiguous, sensory information. In such a high-noise regime, keeping track of…

Neurons and Cognition · Quantitative Biology 2021-03-22 Laurence Aitchison , Jannes Jegminat , Jorge Aurelio Menendez , Jean-Pascal Pfister , Alex Pouget , Peter E. Latham

This paper contributes a novel embedding model which measures the probability of each belief $\langle h,r,t,m\rangle$ in a large-scale knowledge repository via simultaneously learning distributed representations for entities ($h$ and $t$),…

Artificial Intelligence · Computer Science 2015-05-25 Miao Fan , Qiang Zhou , Andrew Abel , Thomas Fang Zheng , Ralph Grishman