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Multi-Chip-Modules (MCMs) reduce the design and fabrication cost of machine learning (ML) accelerators while delivering performance and energy efficiency on par with a monolithic large chip. However, ML compilers targeting MCMs need to…

When a neural network (NN) is used to decode a polar code, its training complexity scales exponentially as the code block size (or to be precise, as a number of message bits) increases. Therefore, existing solutions that use a neural…

Information Theory · Computer Science 2022-11-10 Evgeny Stupachenko

Constructing efficient low-rate error-correcting codes with low-complexity encoding and decoding have become increasingly important for applications involving ultra-low-power devices such as Internet-of-Things (IoT) networks. To this end,…

Information Theory · Computer Science 2020-11-02 Fariba Abbasi , Hessam Mahdavifar , Emanuele Viterbo

Large language models (LLMs) have transformed the way we think about language understanding and generation, enthralling both researchers and developers. However, deploying LLMs for inference has been a significant challenge due to their…

Machine Learning · Computer Science 2025-01-03 Dibakar Gope , David Mansell , Danny Loh , Ian Bratt

Polar codes are recursive general concatenated codes. This property motivates a recursive formalization of the known decoding algorithms: Successive Cancellation, Successive Cancellation with Lists and Belief Propagation. Using such…

Information Theory · Computer Science 2015-06-19 Noam Presman , Simon Litsyn

Multi-kernel polar codes have recently been proposed to construct polar codes of lengths different from powers of two. Decoder implementations for multi-kernel polar codes need to account for this feature, that becomes critical in memory…

Information Theory · Computer Science 2018-09-26 Valerio Bioglio , Carlo Condo , Ingmar Land

Tensor network codes enable structured construction and manipulation of stabilizer codes out of small seed codes. Here, we apply reinforcement learning to tensor network code geometries and demonstrate how optimal stabilizer codes can be…

Quantum Physics · Physics 2023-05-22 Caroline Mauron , Terry Farrelly , Thomas M. Stace

Efficient and accurate low-rank approximations of multiple data sources are essential in the era of big data. The scaling of kernel-based learning algorithms to large datasets is limited by the O(n^2) computation and storage complexity of…

Machine Learning · Computer Science 2020-12-10 Martin Stražar , Tomaž Curk

The most efficient algorithms for finding maximum independent sets in both theory and practice use reduction rules to obtain a much smaller problem instance called a kernel. The kernel can then be solved quickly using exact or heuristic…

Data Structures and Algorithms · Computer Science 2019-09-11 Demian Hespe , Christian Schulz , Darren Strash

Large language models (LLMs) have demonstrated impressive capabilities across numerous NLP tasks. Nevertheless, conventional first-order fine-tuning techniques impose heavy memory demands, creating practical obstacles to real-world…

Machine Learning · Computer Science 2025-05-27 Zhendong Mi , Qitao Tan , Xiaodong Yu , Zining Zhu , Geng Yuan , Shaoyi Huang

Recent advances in reinforcement learning (RL) algorithms aim to enhance the performance of language models at scale. Yet, there is a noticeable absence of a cost-effective and standardized testbed tailored to evaluating and comparing these…

Machine Learning · Computer Science 2024-03-13 Yufeng Zhang , Liyu Chen , Boyi Liu , Yingxiang Yang , Qiwen Cui , Yunzhe Tao , Hongxia Yang

Polar codes are one of the most recent advancements in coding theory and they have attracted significant interest. While they are provably capacity achieving over various channels, they have seen limited practical applications.…

Information Theory · Computer Science 2016-11-17 Alexios Balatsoukas-Stimming , Georgios Karakonstantis , Andreas Burg

A present challenge in wireless communications is the assurance of ultra-reliable and low-latency communication (URLLC). While the reliability aspect is well known to be improved by channel coding with long codewords, this usually implies…

Information Theory · Computer Science 2023-03-15 Sahar Allahkaram , Francisco A. Monteiro , Ioannis Chatzigeorgiou

Kernel learning methods are among the most effective learning methods and have been vigorously studied in the past decades. However, when tackling with complicated tasks, classical kernel methods are not flexible or "rich" enough to…

Machine Learning · Computer Science 2019-10-08 Jiaxuan Xie , Fanghui Liu , Kaijie Wang , Xiaolin Huang

Polar codes can theoretically achieve very competitive Frame Error Rates. In practice, their performance may depend on the chosen decoding procedure, as well as other parameters of the communication system they are deployed upon. As a…

Machine Learning · Computer Science 2021-05-12 Mathieu Léonardon , Vincent Gripon

Training next-generation code generation models requires high-quality datasets, yet existing datasets face difficulty imbalance, format inconsistency, and data quality problems. We address these challenges through systematic data processing…

Computation and Language · Computer Science 2026-03-10 Zongqian Li , Tengchao Lv , Shaohan Huang , Yixuan Su , Qinzheng Sun , Qiufeng Yin , Ying Xin , Scarlett Li , Lei Cui , Nigel Collier , Furu Wei

We propose a generalized construction for binary polar codes based on mixing multiple kernels of different sizes in order to construct polar codes of block lengths that are not only powers of integers. This results in a multi kernel polar…

Information Theory · Computer Science 2017-03-13 Frederic Gabry , Valerio Bioglio , Ingmar Land , Jean-Claude Belfiore

In this paper, we investigate a novel family of polar codes based on multi-kernel constructions, proving that this construction actually polarizes. To this end, we derive a new and more general proof of polarization, which gives sufficient…

Information Theory · Computer Science 2017-10-02 Meryem Benammar , Valerio Bioglio , Frederic Gabry , Ingmar Land

Enhancing the reasoning capabilities of large language models (LLMs) typically relies on massive computational resources and extensive datasets, limiting accessibility for resource-constrained settings. Our study investigates the potential…

Machine Learning · Computer Science 2026-01-21 Quy-Anh Dang , Chris Ngo

We are interested in a framework of online learning with kernels for low-dimensional but large-scale and potentially adversarial datasets. We study the computational and theoretical performance of online variations of kernel Ridge…

Machine Learning · Statistics 2019-05-30 Rémi Jézéquel , Pierre Gaillard , Alessandro Rudi