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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

Conformal prediction has emerged as a powerful tool for building prediction intervals that are valid in a distribution-free way. However, its evaluation may be computationally costly, especially in the high-dimensional setting where the…

Machine Learning · Statistics 2025-11-13 Lucas Clarté , Lenka Zdeborová

Foundation models often generate unreliable answers, while heuristic uncertainty estimators fail to fully distinguish correct from incorrect outputs, causing users to accept erroneous answers without any statistical guarantee. We address…

Artificial Intelligence · Computer Science 2026-05-27 Zhiyuan Wang , Aniri , Tianlong Chen , Yue Zhang , Heng Tao Shen , Xiaoshuang Shi , Kaidi Xu

While significant progress has been made in specifying neural networks capable of representing uncertainty, deep networks still often suffer from overconfidence and misaligned predictive distributions. Existing approaches for measuring this…

Machine Learning · Computer Science 2025-10-24 Spencer Young , Riley Sinema , Cole Edgren , Andrew Hall , Nathan Dong , Porter Jenkins

This work describes a method of approximating matrix permanents efficiently using belief propagation. We formulate a probability distribution whose partition function is exactly the permanent, then use Bethe free energy to approximate this…

Machine Learning · Computer Science 2009-08-13 Bert Huang , Tony Jebara

We propose a novel, tractable latent state inference scheme for Markov jump processes, for which exact inference is often intractable. Our approach is based on an entropic matching framework that can be embedded into the well-known…

Machine Learning · Computer Science 2026-02-27 Yannick Eich , Bastian Alt , Heinz Koeppl

Conformal prediction (CP) is a wrapper around traditional machine learning models, giving coverage guarantees under the sole assumption of exchangeability; in classification problems, for a chosen significance level $\varepsilon$, CP…

Machine Learning · Computer Science 2023-02-23 Javier Abad , Umang Bhatt , Adrian Weller , Giovanni Cherubin

We present a novel sampling framework for probabilistic programs. The framework combines two recent ideas -- \emph{control-data separation} and \emph{logical condition propagation} -- in a nontrivial manner so that the two ideas boost the…

Machine Learning · Computer Science 2023-10-02 Ichiro Hasuo , Yuichiro Oyabu , Clovis Eberhart , Kohei Suenaga , Kenta Cho , Shin-ya Katsumata

Ensembling is now recognized as an effective approach for increasing the predictive performance and calibration of deep networks. We introduce a new approach, Parameter Ensembling by Perturbation (PEP), that constructs an ensemble of…

Machine Learning · Computer Science 2020-10-27 Alireza Mehrtash , Purang Abolmaesumi , Polina Golland , Tina Kapur , Demian Wassermann , William M. Wells

As for other latent-variable problems, exact Bayesian analysis is typically not practicable for mixture problems and approximate methods have been developed. Variational Bayes tends to produce approximate posterior distributions for…

Statistics Theory · Mathematics 2026-02-24 Nils Lid Hjort , Mike Titterington

Data replication is essential to ensure reliability, availability and fault-tolerance of massive distributed applications over large scale systems such as the Internet. However, these systems are prone to partitioning, which by Brewer's CAP…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-12 Matthieu Perrin , Achour Mostéfaoui , Claude Jard

This paper investigates the design and analysis of minimum mean square error (MMSE) turbo decision feedback equalization (DFE), with expectation propagation (EP), for single carrier modulations. Classical non iterative DFE structures have…

Signal Processing · Electrical Eng. & Systems 2018-07-03 Serdar Şahin , Antonio M. Cipriano , Charly Poulliat , Marie-Laure Boucheret

Capture-recapture experiments are widely used to estimate the abundance of a finite population. Based on capture-recapture data, the empirical likelihood (EL) method has been shown to outperform the conventional conditional likelihood (CL)…

Methodology · Statistics 2025-07-15 Yang Liu , Pengfei Li , Yukun Liu

In this paper, we address the problem of recovering complex-valued signals from a set of complex-valued linear measurements. Approximate message passing (AMP) is one state-of-the-art algorithm to recover real-valued sparse signals. However,…

Information Theory · Computer Science 2016-01-26 Xiangming Meng , Sheng Wu , Linling Kuang , Jianhua Lu

In this paper, we present structured message passing (SMP), a unifying framework for approximate inference algorithms that take advantage of structured representations such as algebraic decision diagrams and sparse hash tables. These…

Artificial Intelligence · Computer Science 2013-09-27 Vibhav Gogate , Pedro Domingos

With the growing demand for high-quality image generation on resource-constrained devices, efficient diffusion models have received increasing attention. However, such models suffer from approximation errors introduced by efficiency…

Machine Learning · Computer Science 2026-02-10 Yunshan Zhong , Weiqi Yan , Yuxin Zhang

In this paper, we present a novel approach for conformal prediction (CP), in which we aim to identify a set of promising prediction candidates -- in place of a single prediction. This set is guaranteed to contain a correct answer with high…

Machine Learning · Computer Science 2021-02-03 Adam Fisch , Tal Schuster , Tommi Jaakkola , Regina Barzilay

Cold-start is a notoriously difficult problem which can occur in recommendation systems, and arises when there is insufficient information to draw inferences for users or items. To address this challenge, a contextual bandit algorithm --…

Machine Learning · Statistics 2021-01-13 Jack R. McKenzie , Peter A. Appleby , Thomas House , Neil Walton

Over the last decade or so, Approximate Message Passing (AMP) algorithms have become extremely popular in various structured high-dimensional statistical problems. The fact that the origins of these techniques can be traced back to notions…

Statistics Theory · Mathematics 2021-05-11 Oliver Y. Feng , Ramji Venkataramanan , Cynthia Rush , Richard J. Samworth

Equilibrium Propagation (EP) is a biologically inspired learning algorithm for convergent recurrent neural networks, i.e. RNNs that are fed by a static input x and settle to a steady state. Training convergent RNNs consists in adjusting the…

Machine Learning · Computer Science 2019-06-03 Maxence Ernoult , Julie Grollier , Damien Querlioz , Yoshua Bengio , Benjamin Scellier
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