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Tensor-based modulation (TBM) has been proposed in the context of unsourced random access for massive uplink communication. In this modulation, transmitters encode data as rank-1 tensors, with factors from a discrete vector constellation.…

Information Theory · Computer Science 2021-11-04 Alexis Decurninge , Ingmar Land , Maxime Guillaud

Speculative decoding has become the standard approach for accelerating Large Language Model (LLM) inference. It exploits a lossless draft-then-verify procedure to circumvent the latency of autoregressive decoding, achieving impressive…

Computation and Language · Computer Science 2025-11-05 Jameson Sandler , Jacob K. Christopher , Thomas Hartvigsen , Ferdinando Fioretto

The classical problem in network coding theory considers communication over multicast networks. Multiple transmitters send independent messages to multiple receivers which decode the same set of messages. In this work, computation over…

Information Theory · Computer Science 2016-02-18 Changho Suh , Naveen Goela , Michael Gastpar

We address the problem of constructing a fast lossless code in the case when the source alphabet is large. The main idea of the new scheme may be described as follows. We group letters with small probabilities in subsets (acting as super…

Information Theory · Computer Science 2007-07-13 Boris Ryabko , Jaakko Astola , Karen Egiazarian

We study a relaxation of the problem of coupling probability distributions -- a list of samples is generated from one distribution and an accept is declared if any one of these samples is identical to the sample generated from the other…

Machine Learning · Computer Science 2026-01-13 Joseph Rowan , Buu Phan , Ashish Khisti

This paper introduces a new class of error-correcting codes constructed from the ideal lattices of finite commutative ternary Gamma-semirings (TGS). Unlike classical linear or ring-linear codes, which rely on binary operations, TGS codes…

Rings and Algebras · Mathematics 2025-11-25 Chandrasekhar Gokavarapu , D. Madhusudhana Rao

This work shows how non-binary low-density parity-check codes over GF($2^p$) can be combined with probabilistic amplitude shaping (PAS) (B\"ocherer, et al., 2015), which combines forward-error correction with non-uniform signaling for…

Information Theory · Computer Science 2017-08-21 Fabian Steiner , Gianluigi Liva , Georg Böcherer

Speculative decoding accelerates inference for Large Language Models by using a lightweight draft model to propose candidate tokens that are verified in parallel by a larger target model. Prior work shows that the draft model often…

Computation and Language · Computer Science 2026-03-06 Ofir Ben Shoham

Non-malleable codes, introduced by Dziembowski, Pietrzak and Wichs (ICS 2010), encode messages $s$ in a manner so that tampering the codeword causes the decoder to either output $s$ or a message that is independent of $s$. While this is an…

Information Theory · Computer Science 2013-09-03 Mahdi Cheraghchi , Venkatesan Guruswami

We consider probabilistic amplitude shaping (PAS) as a means of increasing the spectral efficiency of fiber-optic communication systems. In contrast to previous works in the literature, we consider probabilistic shaping with hard decision…

Information Theory · Computer Science 2018-04-04 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

The immense model sizes of large language models (LLMs) challenge deployment on memory-limited consumer GPUs. Although model compression and parameter offloading are common strategies to address memory limitations, compression can degrade…

Computation and Language · Computer Science 2025-10-10 Pei-Shuo Wang , Jian-Jia Chen , Chun-Che Yang , Chi-Chih Chang , Ning-Chi Huang , Mohamed S. Abdelfattah , Kai-Chiang Wu

We present frequency-ordered tokenization, a simple preprocessing technique that improves lossless text compression by exploiting the power-law frequency distribution of natural language tokens (Zipf's law). The method tokenizes text with…

Information Theory · Computer Science 2026-02-27 Maximilian Kalcher

Near optimal decoding of good error control codes is generally a difficult task. However, for a certain type of (sufficiently) good codes an efficient decoding algorithm with near optimal performance exists. These codes are defined via a…

Information Theory · Computer Science 2007-10-30 Uli Sorger

Neural decoders were introduced as a generalization of the classic Belief Propagation (BP) decoding algorithms, where the Trellis graph in the BP algorithm is viewed as a neural network, and the weights in the Trellis graph are optimized by…

Information Theory · Computer Science 2021-05-13 Xiangyu Chen , Min Ye

A scheme is proposed that combines probabilistic signal shaping with bit-metric decoding. The transmitter generates symbols according to a distribution on the channel input alphabet. The symbols are labeled by bit strings. At the receiver,…

Information Theory · Computer Science 2014-04-22 Georg Böcherer

Large Language Models (LLMs) require alignment with human preferences to avoid generating offensive, false, or meaningless content. Recently, low-resource methods for LLM alignment have been popular, while still facing challenges in…

Computation and Language · Computer Science 2025-06-10 Feifan Song , Shaohang Wei , Wen Luo , Yuxuan Fan , Tianyu Liu , Guoyin Wang , Houfeng Wang

Decoding from the output distributions of large language models to produce high-quality text is a complex challenge in language modeling. Various approaches, such as beam search, sampling with temperature, $k-$sampling, nucleus…

Computation and Language · Computer Science 2024-10-22 Esteban Garces Arias , Julian Rodemann , Meimingwei Li , Christian Heumann , Matthias Aßenmacher

We study the problem of entropy calibration, which asks whether a language model's entropy over generations matches its log loss on human text. Past work found that models are miscalibrated, with entropy per step increasing as generations…

Computation and Language · Computer Science 2026-01-14 Steven Cao , Gregory Valiant , Percy Liang

State-of-the-art language models are autoregressive and operate on subword units known as tokens. Specifically, one must encode the conditioning string into a list of tokens before passing to the language models for next-token prediction.…

Computation and Language · Computer Science 2024-07-09 Buu Phan , Marton Havasi , Matthew Muckley , Karen Ullrich

Controllable text generation systems often leverage control codes to direct various properties of the output like style and length. Inspired by recent work on causal inference for NLP, this paper reveals a previously overlooked flaw in…

Computation and Language · Computer Science 2022-10-10 Junyi Chai , Reid Pryzant , Victor Ye Dong , Konstantin Golobokov , Chenguang Zhu , Yi Liu
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