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In this paper we consider regular low-density parity-check codes over a binary-symmetric channel in the decoding regime. We prove that up to a certain noise threshold the bit-error probability of the bit-sampling decoder converges in mean…

Information Theory · Computer Science 2015-09-21 Marc Vuffray , Theodor Misiakiewicz

Minimizing risk with fairness constraints is one of the popular approaches to learning a fair classifier. Recent works showed that this approach yields an unfair classifier if the training set is corrupted. In this work, we study the…

Machine Learning · Computer Science 2022-05-10 Changhun Jo , Jy-yong Sohn , Kangwook Lee

Sample selection is an effective strategy to mitigate the effect of label noise in robust learning. Typical strategies commonly apply the small-loss criterion to identify clean samples. However, those samples lying around the decision…

Computer Vision and Pattern Recognition · Computer Science 2022-08-25 Qi Wei , Haoliang Sun , Xiankai Lu , Yilong Yin

We develop efficient binary (i.e., 1-bit) and multi-bit coding schemes for estimating the scale parameter of $\alpha$-stable distributions. The work is motivated by the recent work on one scan 1-bit compressed sensing (sparse signal…

Methodology · Statistics 2016-02-02 Ping Li

The efficient communication of noisy data has applications in several areas of machine learning, such as neural compression or differential privacy, and is also known as reverse channel coding or the channel simulation problem. Here we…

Information Theory · Computer Science 2022-05-26 Lucas Theis , Noureldin Yosri

We consider a discrete optimization formulation for learning sparse classifiers, where the outcome depends upon a linear combination of a small subset of features. Recent work has shown that mixed integer programming (MIP) can be used to…

Machine Learning · Statistics 2021-06-08 Antoine Dedieu , Hussein Hazimeh , Rahul Mazumder

We introduce the State Classification Problem (SCP) for hybrid systems, and present Neural State Classification (NSC) as an efficient solution technique. SCP generalizes the model checking problem as it entails classifying each state $s$ of…

Machine Learning · Computer Science 2019-08-08 Dung Phan , Nicola Paoletti , Timothy Zhang , Radu Grosu , Scott A. Smolka , Scott D. Stoller

Selective classifiers improve model reliability by abstaining on inputs the model deems uncertain. However, few practical approaches achieve the gold-standard performance of a perfect-ordering oracle that accepts examples exactly in order…

Machine Learning · Computer Science 2025-10-27 Stephan Rabanser , Nicolas Papernot

We introduce Noise Recycling, a method that enhances decoding performance of channels subject to correlated noise without joint decoding. The method can be used with any combination of codes, code-rates and decoding techniques. In the…

Information Theory · Computer Science 2020-10-16 Alejandro Cohen , Amit Solomon , Ken R. Duffy , Muriel Médard

For any black-box model, conformal prediction (CP) returns prediction sets guaranteed to include the true label with high adjustable probability. Robust CP (RCP) extends the guarantee to the worst case noise up to a pre-defined magnitude.…

Machine Learning · Computer Science 2025-12-09 Soroush H. Zargarbashi , Mohammad Sadegh Akhondzadeh , Aleksandar Bojchevski

This paper focuses on the recently introduced Successive Cancellation Flip (SCFlip) decoder of polar codes. Our contribution is twofold. First, we propose the use of an optimized metric to determine the flipping positions within the SCFlip…

Information Theory · Computer Science 2017-01-18 Ludovic Chandesris , Valentin Savin , David Declercq

Label noise is a common issue in real-world datasets that inevitably impacts the generalization of models. This study focuses on robust classification tasks where the label noise is instance-dependent. Estimating the transition matrix…

Machine Learning · Computer Science 2024-04-09 Yukun Yang , Naihao Wang , Haixin Yang , Ruirui Li

Noisy labels are an unavoidable consequence of labeling processes and detecting them is an important step towards preventing performance degradations in Convolutional Neural Networks. Discarding noisy labels avoids a harmful memorization,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Diego Ortego , Eric Arazo , Paul Albert , Noel E. O'Connor , Kevin McGuinness

Quantum hardware rarely suffers equal amounts of bit-flip ($X$) and phase-flip ($Z$) errors; one type is often much more common than the other. A code that is ``bias-tailored'' can exploit this imbalance, lowering the fault-tolerance…

Quantum Physics · Physics 2025-07-04 Shixin Wu , Todd A. Brun , Daniel A. Lidar

Fundamental rate-distortion-perception (RDP) trade-offs arise in applications requiring maintained perceptual quality of reconstructed data, such as neural image compression. When compressed data is transmitted over public communication…

Information Theory · Computer Science 2026-04-23 Gustaf Åhlgren , Onur Günlü

Designing robust algorithms capable of training accurate neural networks on uncurated datasets from the web has been the subject of much research as it reduces the need for time consuming human labor. The focus of many previous research…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Paul Albert , Eric Arazo , Tarun Krishna , Noel E. O'Connor , Kevin McGuinness

We consider here a classification method that balances two objectives: large similarity within the samples in the cluster, and large dissimilarity between the cluster and its complement. The method, referred to as HNC or SNC, requires seed…

Machine Learning · Computer Science 2025-03-05 Dorit Hochbaum , Torpong Nitayanont

Pseudo-Labeling has emerged as a simple yet effective technique for semi-supervised object detection (SSOD). However, the inevitable noise problem in pseudo-labels significantly degrades the performance of SSOD methods. Recent advances…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Yulin He , Wei Chen , Ke Liang , Yusong Tan , Zhengfa Liang , Yulan Guo

Many binary classification problems minimize misclassification above (or below) a threshold. We show that instances of ranking problems, accuracy at the top or hypothesis testing may be written in this form. We propose a general framework…

Machine Learning · Computer Science 2020-02-26 Lukáš Adam , Václav Mácha , Václav Šmídl , Tomáš Pevný

In this paper, we use a linear programming (LP) optimization approach to evaluate the equivocation for a wiretap channel where the main channel is noiseless, and the wiretap channel is a binary symmetric channel (BSC). Using this technique,…

Information Theory · Computer Science 2024-01-17 Ali Nikkhah , Morteza Shoushtari , Bahareh Akhbari , Willie K. Harrison