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A single source network is said to be memory-free if all of the internal nodes (those except the source and the sinks) do not employ memory but merely send linear combinations of the symbols received at their incoming edges on their…

Information Theory · Computer Science 2009-09-09 K. Prasad , B. Sundar Rajan

The cross entropy loss is widely used due to its effectiveness and solid theoretical grounding. However, as training progresses, the loss tends to focus on hard to classify samples, which may prevent the network from obtaining gains in…

Machine Learning · Computer Science 2021-09-14 Barak Battash , Lior Wolf , Tamir Hazan

Large language models (LLMs) have demonstrated remarkable capabilities in generating programs from natural language descriptions, yet ensuring their correctness without an external oracle remains a critical challenge. To solve the…

Software Engineering · Computer Science 2026-04-07 Yunxiang Wei , Tianlin Li , Yuwei Zheng , Yanni Dong , Aishan Liu , Qiang Hu , Xiaoyu Zhang , Mingfei Cheng , Jian Yang

We investigate the learning task of language generation in the limit, but shift focus from the traditional time-of-last-mistake metric of a generator's success to a new notion of "mistake-bounded generation." While existing results for…

Machine Learning · Computer Science 2026-05-12 Jon Kleinberg , Charlotte Peale , Omer Reingold

When neural networks (NeuralNets) are implemented in hardware, their weights need to be stored in memory devices. As noise accumulates in the stored weights, the NeuralNet's performance will degrade. This paper studies how to use error…

Information Theory · Computer Science 2020-01-14 Kunping Huang , Paul Siegel , Anxiao , Jiang

In this paper, we introduce an achievability bound on the frame error rate of random tree code ensembles under a sequential decoding algorithm with a hard computational limit and consider the optimization of the random tree code ensembles…

Information Theory · Computer Science 2025-01-23 B. Tan Bacinoglu

We study online aggregation of the predictions of experts, and first show new second-order regret bounds in the standard setting, which are obtained via a version of the Prod algorithm (and also a version of the polynomially weighted…

Machine Learning · Statistics 2014-02-11 Pierre Gaillard , Gilles Stoltz , Tim Van Erven

End-to-end learning of a communications system using the deep learning-based autoencoder concept has drawn interest in recent research due to its simplicity, flexibility and its potential of adapting to complex channel models and practical…

Information Theory · Computer Science 2020-01-22 Nuwanthika Rajapaksha , Nandana Rajatheva , Matti Latva-aho

The problem of finding code distance has been long studied for the generic ensembles of linear codes and led to several algorithms that substantially reduce exponential complexity of this task. However, no asymptotic complexity bounds are…

Information Theory · Computer Science 2016-11-17 Ilya Dumer , Alexey A. Kovalev , Leonid P. Pryadko

Kolmogorov-Arnold Networks (KAN) offer universal function approximation using univariate spline compositions without nonlinear activations. In this work, we integrate Error-Correcting Output Codes (ECOC) into the KAN framework to transform…

Machine Learning · Computer Science 2025-09-18 Youngjoon Lee , Jinu Gong , Joonhyuk Kang

Consider an ensemble of $k$ individual classifiers whose accuracies are known. Upon receiving a test point, each of the classifiers outputs a predicted label and a confidence in its prediction for this particular test point. In this paper,…

Machine Learning · Computer Science 2021-07-12 Sascha Meyen , Frieder Göppert , Helen Alber , Ulrike von Luxburg , Volker H. Franz

The accuracy of machine learning systems is a widely studied research topic. Established techniques such as cross-validation predict the accuracy on unseen data of the classifier produced by applying a given learning method to a given…

Machine Learning · Computer Science 2012-12-06 J. E. Smith , P. Caleb-Solly , M. A. Tahir , D. Sannen , H. van-Brussel

If entanglement is available, the error-correcting ability of quantum codes can be increased. We show how to optimize the minimum distance of an entanglement-assisted quantum error-correcting (EAQEC) code, obtained by adding ebits to a…

Quantum Physics · Physics 2013-07-23 Ching-Yi Lai , Todd Brun

Fire is characterized by its sudden onset and destructive power, making early fire detection crucial for ensuring human safety and protecting property. With the advancement of deep learning, the application of computer vision in fire…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Ziqi Zhang , Xiuzhuang Zhou , Xiangyang Gong

In risk-sensitive learning, one aims to find a hypothesis that minimizes a risk-averse (or risk-seeking) measure of loss, instead of the standard expected loss. In this paper, we propose to study the generalization properties of…

Machine Learning · Statistics 2021-01-05 Jaeho Lee , Sejun Park , Jinwoo Shin

Recently a powerful class of rate-compatible serially concatenated convolutional codes (SCCCs) have been proposed based on minimizing analytical upper bounds on the error probability in the error floor region. Here this class of codes is…

Information Theory · Computer Science 2007-07-13 Alexandre Graell i Amat , Fredrik Brannstrom , Lars K. Rasmussen

(Partial) ranking loss is a commonly used evaluation measure for multi-label classification, which is usually optimized with convex surrogates for computational efficiency. Prior theoretical work on multi-label ranking mainly focuses on…

Machine Learning · Computer Science 2021-05-12 Guoqiang Wu , Chongxuan Li , Kun Xu , Jun Zhu

Error Correction Codes (ECC) are fundamental to reliable digital communication, yet designing neural decoders that are both accurate and computationally efficient remains challenging. Recent denoising diffusion decoders achieve…

Machine Learning · Computer Science 2026-02-18 Haoyu Lei , Chin Wa Lau , Kaiwen Zhou , Nian Guo , Farzan Farnia

When randomized ensembles such as bagging or random forests are used for binary classification, the prediction error of the ensemble tends to decrease and stabilize as the number of classifiers increases. However, the precise relationship…

Probability · Mathematics 2019-05-01 Miles E. Lopes

Machine learning models have traditionally been developed under the assumption that the training and test distributions match exactly. However, recent success in few-shot learning and related problems are encouraging signs that these models…

Machine Learning · Statistics 2020-10-15 James Lucas , Mengye Ren , Irene Kameni , Toniann Pitassi , Richard Zemel