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We derive a high-resolution formula for the quantization problem under Orlicz norm distortion. In this setting, the optimal point density solves a variational problem which comprises a function $g:\mathbb{R}_+\to[0,\infty)$ characterizing…

Probability · Mathematics 2010-10-21 Steffen Dereich , Christian Vormoor

Label Distribution Learning (LDL) is a novel machine learning paradigm that addresses the problem of label ambiguity and has found widespread applications. Obtaining complete label distributions in real-world scenarios is challenging, which…

Machine Learning · Computer Science 2024-10-18 Zhiqiang Kou , Haoyuan Xuan , Jing Wang , Yuheng Jia , Xin Geng

The low-density parity-check (LDPC) lattices perform very well in high dimensions under generalized min-sum iterative decoding algorithm. In this work we focus on 1-level LDPC lattices. We show that these lattices are the same as lattices…

Information Theory · Computer Science 2013-02-05 Mohammad-Reza Sadeghi , Amin Sakzad

This work introduces coset Bombe codes, a novel class of multilevel coset codes that generalize polar codes to dense lattice structures. By leveraging multilevel coding with non-binary codes designed for the lattice modulations and making…

Information Theory · Computer Science 2026-04-08 Leopold Bertholet , Chloe Makdad , Stephen Mackes , Daniel Chew , Matthew Robinson

Spatially-coupled low-density lattice codes (LDLC) are constructed using protographs. Using Monte Carlo density evolution using single-Gaussian messages, we observe that the threshold of the spatially-coupled LDLC is within 0.22 dB of…

Information Theory · Computer Science 2011-07-26 Hironori Uchikawa , Brian M. Kurkoski , Kenta Kasai , Kohichi Sakaniwa

Code linters play a crucial role in developing high-quality software systems by detecting potential problems (e.g., memory leaks) in the source code of systems. Despite their benefits, code linters are often language-specific, focused on…

Software Engineering · Computer Science 2024-07-24 Darren Holden , Nafiseh Kahani

We study the problem of multiple kernel learning from noisy labels. This is in contrast to most of the previous studies on multiple kernel learning that mainly focus on developing efficient algorithms and assume perfectly labeled training…

Machine Learning · Computer Science 2012-06-22 Tianbao Yang , Mehrdad Mahdavi , Rong Jin , Lijun Zhang , Yang Zhou

Several applications in communication, control, and learning require approximating target distributions to within small informational divergence (I-divergence). The additional requirement of invertibility usually leads to using encoders…

Information Theory · Computer Science 2020-10-22 Patrick Schulte , Rana Ali Amjad , Thomas Wiegart , Gerhard Kramer

Labeled Latent Dirichlet Allocation (LLDA) is an extension of the standard unsupervised Latent Dirichlet Allocation (LDA) algorithm, to address multi-label learning tasks. Previous work has shown it to perform in par with other…

Machine Learning · Statistics 2017-09-19 Yannis Papanikolaou , Grigorios Tsoumakas

In an earlier paper (math.NT/9906019) we showed that any integral unimodular lattice L of rank n which is not isometric with Z^n has a characteristic vector of norm at most n-8. [A "characteristic vector" of L is a vector w in L such that…

Number Theory · Mathematics 2007-05-23 Noam D. Elkies

We consider the problem of rate/distortion with side information available only at the decoder. For the case of jointly-Gaussian source X and side information Y, and mean-squared error distortion, Wyner proved in 1976 that the…

Information Theory · Computer Science 2007-07-16 Sergio D. Servetto

High-capacity NAND flash memories use multi-level cells (MLCs) to store multiple bits per cell and achieve high storage densities. Higher densities cause increased raw bit error rates (BERs), which demand powerful error correcting codes.…

Information Theory · Computer Science 2012-02-08 Jiadong Wang , Guiqiang Dong , Tong Zhang , Richard Wesel

Large Language Models (LLMs) have demonstrated remarkable capabilities but typically require extensive computational resources and memory for inference. Post-training quantization (PTQ) can effectively reduce these demands by storing…

Machine Learning · Computer Science 2026-01-27 Xi Zhang , Xiaolin Wu , Jiamang Wang , Weisi Lin

Text-based automated Cognitive Distortion detection is a challenging task due to its subjective nature, with low agreement scores observed even among expert human annotators, leading to unreliable annotations. We explore the use of Large…

Computation and Language · Computer Science 2026-05-21 Neha Sharma , Navneet Agarwal , Kairit Sirts

Low density lattice codes (LDLC) are a family of lattice codes that can be decoded efficiently using a message-passing algorithm. In the original LDLC decoder, the message exchanged between variable nodes and check nodes are continuous…

Information Theory · Computer Science 2018-06-15 Shuiyin Liu , Yi Hong , Emanuele Viterbo , Alessia Marelli , Rino Micheloni

In this paper the multicasting of independent parallel Gaussian sources over a binary erasure broadcasted channel is considered. Multiresolution embedded quantizer and layered joint source-channel coding schemes are used in order to serve…

Information Theory · Computer Science 2009-01-19 Ozgun Y. Bursalioglu , Maria Fresia , Giuseppe Caire , H. Vincent Poor

An important problem with machine learning is that when label number n>2, it is very difficult to construct and optimize a group of learning functions, and we wish that optimized learning functions are still useful when prior distribution…

Artificial Intelligence · Computer Science 2022-12-26 Chenguang Lu

Deep models trained with noisy labels are prone to over-fitting and struggle in generalization. Most existing solutions are based on an ideal assumption that the label noise is class-conditional, i.e., instances of the same class share the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Ganlong Zhao , Guanbin Li , Yipeng Qin , Feng Liu , Yizhou Yu

Diverse regularization techniques have been developed such as L2 regularization, Dropout, DisturbLabel (DL) to prevent overfitting. DL, a newcomer on the scene, regularizes the loss layer by flipping a small share of the target labels at…

Machine Learning · Computer Science 2021-10-12 Yongho Kim , Hanna Lukashonak , Paweena Tarepakdee , Klavdia Zavalich , Mofassir ul Islam Arif

Recently, multi-view and multi-label classification have become significant domains for comprehensive data analysis and exploration. However, incompleteness both in views and labels is still a real-world scenario for multi-view multi-label…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Bingyan Nie , Wulin Xie , Jiang Long , Xiaohuan Lu
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