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We study the inference problem in the group testing to identify defective items from the perspective of the decision theory. We introduce Bayesian inference and consider the Bayesian optimal setting in which the true generative process of…

Information Theory · Computer Science 2021-10-22 Ayaka Sakata , Yoshiyuki Kabashima

We investigate a long-debated question, which is how to create predictive models of recidivism that are sufficiently accurate, transparent, and interpretable to use for decision-making. This question is complicated as these models are used…

Machine Learning · Statistics 2020-10-20 Jiaming Zeng , Berk Ustun , Cynthia Rudin

Conformal prediction (CP) quantifies the uncertainty of machine learning models by constructing sets of plausible outputs. These sets are constructed by leveraging a so-called conformity score, a quantity computed using the input point of…

Machine Learning · Statistics 2025-02-07 Michal Klein , Louis Bethune , Eugene Ndiaye , Marco Cuturi

In this paper we present a theoretical performance analysis of the maximum ratio combining (MRC) rule for channel-aware decision fusion over multiple-input multiple-output (MIMO) channels for (conditionally) dependent and independent local…

Information Theory · Computer Science 2013-11-07 D. Ciuonzo , G. Romano , P. Salvo Rossi

A probability forecast or probabilistic classifier is reliable or calibrated if the predicted probabilities are matched by ex post observed frequencies, as examined visually in reliability diagrams. The classical binning and counting…

Methodology · Statistics 2021-08-26 Timo Dimitriadis , Tilmann Gneiting , Alexander I. Jordan

Common randomness (CR), as a resource, is not commonly exploited in existing practical communication systems. In the CR generation framework, both the sender and receiver aim to generate a common random variable observable to both, ideally…

Signal Processing · Electrical Eng. & Systems 2024-06-27 Rami Ezzine , Wafa Labidi , Christian Deppe , Holger Boche

Accurate diagnosis of disease is of great importance in clinical practice and medical research. The receiver operating characteristic (ROC) surface is a popular tool for evaluating the discriminatory ability of continuous diagnostic test…

Methodology · Statistics 2018-05-22 Vanda Inacio de Carvalho , Miguel de Carvalho , Adam Branscum

Given samples from two joint distributions, we consider the problem of Optimal Transportation (OT) between them when conditioned on a common variable. We focus on the general setting where the conditioned variable may be continuous, and the…

Machine Learning · Computer Science 2024-06-12 Piyushi Manupriya , Rachit Keerti Das , Sayantan Biswas , Saketha Nath Jagarlapudi

Conformal Prediction (CP) is a principled framework for quantifying uncertainty in blackbox learning models, by constructing prediction sets with finite-sample coverage guarantees. Traditional approaches rely on scalar nonconformity scores,…

Machine Learning · Statistics 2025-05-07 Gauthier Thurin , Kimia Nadjahi , Claire Boyer

In (V. Galdi et al., Phys. Rev. E57, 6470, 1998) a thorough characterization in terms of receiver operating characteristics (ROCs) of stochastic-resonance (SR) detectors of weak harmonic signals of known frequency in additive gaussian noise…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. P. Croce , Th. Demma , V. Galdi , V. Pierro , I. M. Pinto , F. Postiglione

In binary classification applications, conservative decision-making that allows for abstention can be advantageous. To this end, we introduce a novel approach that determines the optimal cutoff interval for risk scores, which can be…

Machine Learning · Statistics 2025-10-01 Yishu Wei , Wen-Yee Lee , George Ekow Quaye , Xiaogang Su

We develop a framework for spectrum sensing in cooperative amplify-and-forward cognitive radio networks. We consider a stochastic model where relays are assigned in cognitive radio networks to transmit the primary user's signal to a…

Information Theory · Computer Science 2011-11-02 Ido Nevat , Gareth W. Peters , Jinhong Yuan , Iain Collings

Conformal risk control (CRC) is a recently proposed technique that applies post-hoc to a conventional point predictor to provide calibration guarantees. Generalizing conformal prediction (CP), with CRC, calibration is ensured for a set…

Machine Learning · Computer Science 2024-05-02 Kfir M. Cohen , Sangwoo Park , Osvaldo Simeone , Shlomo Shamai

The proper use of model evaluation metrics is important for model evaluation and model selection in binary classification tasks. This study investigates how consistent different metrics are at evaluating models across data of different…

Machine Learning · Statistics 2024-12-17 Jing Li

Assessing the performance of a learned model is a crucial part of machine learning. However, in some domains only positive and unlabeled examples are available, which prohibits the use of most standard evaluation metrics. We propose an…

Machine Learning · Statistics 2015-12-31 Marc Claesen , Jesse Davis , Frank De Smet , Bart De Moor

Reaction Coordinates (RCs) are indicators of hidden, low-dimensional mechanisms that govern the long-term behavior of high-dimensional stochastic processes. We present a novel and general variational characterization of optimal RCs and…

Dynamical Systems · Mathematics 2021-09-23 Andreas Bittracher , Mattes Mollenhauer , Péter Koltai , Christof Schütte

Receiver operating characteristic (ROC) analysis is widely used for evaluating diagnostic systems. Recent studies have shown that estimating an area under ROC curve (AUC) with standard cross-validation methods suffers from a large bias. The…

Machine Learning · Statistics 2024-01-25 Ileana Montoya Perez , Antti Airola , Peter J. Boström , Ivan Jambor , Tapio Pahikkala

Cascaded binary hypothesis testing is studied in this paper with two decision centers at the relay and the receiver. All terminals have their own observations, where we assume that the observations at the transmitter, the relay, and the…

Information Theory · Computer Science 2021-06-24 Mustapha Hamad , Michèle Wigger , Mireille Sarkiss

How can we approximate sparse graphs and sequences of sparse graphs (with unbounded average degree)? We consider convergence in the first $k$ moments of the graph spectrum (equivalent to the numbers of closed $k$-walks) appropriately…

Combinatorics · Mathematics 2022-02-07 Samantha Petti , Santosh S. Vempala

In meta-analysis of diagnostic test accuracy, summary receiver operating characteristic (SROC) is a recommended method to summarize the discriminant capacity of a diagnostic test in the presence of study-specific cutoff values and the area…

Methodology · Statistics 2023-01-10 Yi Zhou , Ao Huang , Satoshi Hattori
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