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Class probabilities predicted by most multiclass classifiers are uncalibrated, often tending towards over-confidence. With neural networks, calibration can be improved by temperature scaling, a method to learn a single corrective…

Machine Learning · Computer Science 2019-10-29 Meelis Kull , Miquel Perello-Nieto , Markus Kängsepp , Telmo Silva Filho , Hao Song , Peter Flach

We consider calibration of convolutional classifiers for diagnostic decision making. Clinical decision makers can use calibrated classifiers to minimise expected costs given their own cost function. Such functions are usually unknown at…

Machine Learning · Computer Science 2024-06-18 Stephen McKenna , Jacob Carse

We study class-imbalanced linear classification in a high-dimensional Gaussian mixture model. We develop a tight, closed form approximation for the test error of several practical learning methods, including logit adjustment and class…

Machine Learning · Computer Science 2025-03-10 Eliav Mor , Yair Carmon

Many applications of classification methods not only require high accuracy but also reliable estimation of predictive uncertainty. However, while many current classification frameworks, in particular deep neural networks, achieve high…

Machine Learning · Computer Science 2020-02-28 Jonathan Wenger , Hedvig Kjellström , Rudolph Triebel

Radio interferometric gain calibration can be biased by incomplete sky models and radio frequency interference, resulting in calibration artefacts that can restrict the dynamic range of the resulting images. It has been suggested that…

Instrumentation and Methods for Astrophysics · Physics 2019-10-21 Ulrich Armel Mbou Sob , Hertzog Landman Bester , Oleg Smirnov , Jonathan Kenyon , Trienko Grobler

Semantic-descriptor-based Generalized Zero-Shot Learning (GZSL) poses challenges in recognizing novel classes in the test phase. The development of generative models enables current GZSL techniques to probe further into the semantic-visual…

Computer Vision and Pattern Recognition · Computer Science 2022-05-06 Dubing Chen , Yuming Shen , Haofeng Zhang , Philip H. S. Torr

Knowledge distillation involves transferring soft labels from a teacher to a student using a shared temperature-based softmax function. However, the assumption of a shared temperature between teacher and student implies a mandatory exact…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Shangquan Sun , Wenqi Ren , Jingzhi Li , Rui Wang , Xiaochun Cao

We propose a novel methodology for general multi-class classification in arbitrary feature spaces, which results in a potentially well-calibrated classifier. Calibrated classifiers are important in many applications because, in addition to…

Machine Learning · Statistics 2023-02-22 Raoul Heese , Jochen Schmid , Michał Walczak , Michael Bortz

For a broad family of discriminative models that includes autoregressive language models, identifiability results imply that if two models induce the same conditional distributions, then their internal representations agree up to an…

Machine Learning · Computer Science 2026-02-20 Beatrix M. G. Nielsen , Emanuele Marconato , Luigi Gresele , Andrea Dittadi , Simon Buchholz

Calibrated probabilistic classifiers are models whose predicted probabilities can directly be interpreted as uncertainty estimates. It has been shown recently that deep neural networks are poorly calibrated and tend to output overconfident…

Machine Learning · Statistics 2022-10-17 Teodora Popordanoska , Raphael Sayer , Matthew B. Blaschko

We introduce a multi-fidelity estimator of covariance matrices that employs the log-Euclidean geometry of the symmetric positive-definite manifold. The estimator fuses samples from a hierarchy of data sources of differing fidelities and…

Computation · Statistics 2023-05-30 Aimee Maurais , Terrence Alsup , Benjamin Peherstorfer , Youssef Marzouk

Learning from a limited number of samples is challenging since the learned model can easily become overfitted based on the biased distribution formed by only a few training examples. In this paper, we calibrate the distribution of these…

Machine Learning · Computer Science 2021-08-17 Shuo Yang , Lu Liu , Min Xu

We consider the issue of calibration in large language models (LLM). Recent studies have found that common interventions such as instruction tuning often result in poorly calibrated LLMs. Although calibration is well-explored in traditional…

Machine Learning · Computer Science 2024-06-28 Maohao Shen , Subhro Das , Kristjan Greenewald , Prasanna Sattigeri , Gregory Wornell , Soumya Ghosh

Knowledge distillation (KD) aims to distill the knowledge from the teacher (larger) to the student (smaller) model via soft-label for the efficient neural network. In general, the performance of a model is determined by accuracy, which is…

Signal Processing · Electrical Eng. & Systems 2025-08-25 Stephen Ekaputra Limantoro

Temperature scaling is a simple method that allows to control the uncertainty of probabilistic models. It is mostly used in two contexts: improving the calibration of classifiers and tuning the stochasticity of large language models (LLMs).…

Machine Learning · Statistics 2026-05-28 Pierre-Alexandre Mattei , Bruno Loureiro

The Kullback-Leibler (KL) divergence is frequently used in data science. For discrete distributions on large state spaces, approximations of probability vectors may result in a few small negative entries, rendering the KL divergence…

Knowledge Distillation (KD), aiming to train a better student model by mimicking the teacher model, plays an important role in model compression. One typical way is to align the output logits. However, we find a common issue named…

Computation and Language · Computer Science 2024-09-10 Runming Yang , Taiqiang Wu , Yujiu Yang

Knowledge distillation (KD) transfers knowledge from a high-capacity teacher to a compact student by matching their predictive distributions, with temperature scaling serving as a central mechanism for smoothing teacher predictions and…

Machine Learning · Computer Science 2026-05-21 Hoang-Chau Luong , Nghia Van Vo , Kaiqi Zhao , Lingwei Chen

Model misspecification is a long-standing enigma of the Bayesian inference framework as posteriors tend to get overly concentrated on ill-informed parameter values towards the large sample limit. Tempering of the likelihood has been…

Methodology · Statistics 2019-12-13 Owen Thomas , Jukka Corander

It is not uncommon that real-world data are distributed with a long tail. For such data, the learning of deep neural networks becomes challenging because it is hard to classify tail classes correctly. In the literature, several existing…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Mengke Li , Yiu-ming Cheung , Yang Lu , Zhikai Hu , Weichao Lan , Hui Huang
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