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Recently, there has been extensive research on the capabilities of biologically plausible algorithms. In this work, we show how one of such algorithms, called predictive coding, is able to perform causal inference tasks. First, we show how…

Machine Learning · Computer Science 2024-06-04 Tommaso Salvatori , Luca Pinchetti , Amine M'Charrak , Beren Millidge , Thomas Lukasiewicz

In this work we provide a review of basic ideas and novel developments about Conformal Prediction -- an innovative distribution-free, non-parametric forecasting method, based on minimal assumptions -- that is able to yield in a very…

Machine Learning · Computer Science 2024-02-01 Matteo Fontana , Gianluca Zeni , Simone Vantini

Recent advances in artificial intelligence have enabled the generation of large-scale, low-cost predictions with increasingly high fidelity. As a result, the primary challenge in statistical inference has shifted from data scarcity to data…

Statistics Theory · Mathematics 2026-02-12 Shirong Xu , Will Wei Sun

Accurately estimating the proportion of true signals among a large number of variables is crucial for enhancing the precision and reliability of scientific research. Traditional signal proportion estimators often assume independence among…

Statistics Theory · Mathematics 2026-05-15 Jingtian Bai , Xinge Jessie Jeng

A predictive distribution over a sequence of $N+1$ events is said to be "frequency mimicking" whenever the probability for the final event conditioned on the outcome of the first $N$ events equals the relative frequency of successes among…

Methodology · Statistics 2019-09-06 Frank Lad , Giuseppe Sanfilippo

Construct a random set by independently selecting each finite subset of the integers with some probability depending on the set up to translations and taking the union of the selected sets. We show that when the only sets selected with…

Probability · Mathematics 2025-06-06 Yinon Spinka

Causal influence measures for machine learnt classifiers shed light on the reasons behind classification, and aid in identifying influential input features and revealing their biases. However, such analyses involve evaluating the classifier…

Machine Learning · Computer Science 2018-04-10 Shayak Sen , Piotr Mardziel , Anupam Datta , Matthew Fredrikson

Automated decision support systems promise to help human experts solve multiclass classification tasks more efficiently and accurately. However, existing systems typically require experts to understand when to cede agency to the system or…

Machine Learning · Computer Science 2023-07-03 Eleni Straitouri , Lequn Wang , Nastaran Okati , Manuel Gomez Rodriguez

Adaptive behavior often requires predicting future events. The theory of reinforcement learning prescribes what kinds of predictive representations are useful and how to compute them. This paper integrates these theoretical ideas with work…

Artificial Intelligence · Computer Science 2024-07-12 Wilka Carvalho , Momchil S. Tomov , William de Cothi , Caswell Barry , Samuel J. Gershman

Traditional recommender systems aim to estimate a user's rating to an item based on observed ratings from the population. As with all observational studies, hidden confounders, which are factors that affect both item exposures and user…

Machine Learning · Computer Science 2022-11-22 Yaochen Zhu , Jing Yi , Jiayi Xie , Zhenzhong Chen

The additive genetic effect is arguably the most important quantity inferred in animal and plant breeding analyses. The term effect indicates that it represents causal information, which is different from standard statistical concepts as…

Quantitative Methods · Quantitative Biology 2015-04-27 Bruno Dourado Valente , Gota Morota , Guilherme Jordao Magalhaes Rosa , Daniel Gianola , Kent Weigel

An important problem in network analysis is predicting a node attribute using both network covariates, such as graph embedding coordinates or local subgraph counts, and conventional node covariates, such as demographic characteristics.…

Methodology · Statistics 2023-02-24 Robert Lunde , Elizaveta Levina , Ji Zhu

Classical wisdom suggests that estimators should avoid fitting noise to achieve good generalization. In contrast, modern overparameterized models can yield small test error despite interpolating noise -- a phenomenon often called "benign…

Machine Learning · Statistics 2023-03-02 Michael Aerni , Marco Milanta , Konstantin Donhauser , Fanny Yang

Conformal predictive systems are sets of predictive distributions with theoretical out-of-sample calibration guarantees. The calibration guarantees are typically that the set of predictions contains a forecast distribution whose prediction…

Methodology · Statistics 2025-11-03 Sam Allen , Enrico Pescara , Johanna Ziegel

Integrating the outputs of multiple classifiers via combiners or meta-learners has led to substantial improvements in several difficult pattern recognition problems. In the typical setting investigated till now, each classifier is trained…

Machine Learning · Computer Science 2007-05-23 Kagan Tumer , Joydeep Ghosh

Predictions in the form of sets of probability distributions, so-called credal sets, provide a suitable means to represent a learner's epistemic uncertainty. In this paper, we propose a theoretically grounded approach to credal prediction…

Machine Learning · Statistics 2025-12-16 Timo Löhr , Paul Hofman , Felix Mohr , Eyke Hüllermeier

We develop a new method for generating prediction sets that combines the flexibility of conformal methods with an estimate of the conditional distribution $P_{Y \mid X}$. Existing methods, such as conformalized quantile regression and…

Machine Learning · Statistics 2024-10-10 Vincent Plassier , Alexander Fishkov , Mohsen Guizani , Maxim Panov , Eric Moulines

Scoring rules measure the deviation between a probabilistic forecast and reality. Strictly proper scoring rules have the property that for any forecast, the mathematical expectation of the score of a forecast p by the lights of p is…

Probability · Mathematics 2022-09-28 Alexander R. Pruss

The first part of the paper is an introduction to the theory of probabilistic concurrent systems under a partial order semantics. Key definitions and results are given and illustrated on examples. The second part includes contributions. We…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Samy Abbes

With machine learning models being increasingly used to aid decision making even in high-stakes domains, there has been a growing interest in developing interpretable models. Although many supposedly interpretable models have been proposed,…

Artificial Intelligence · Computer Science 2021-08-17 Forough Poursabzi-Sangdeh , Daniel G. Goldstein , Jake M. Hofman , Jennifer Wortman Vaughan , Hanna Wallach
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