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We analyze random coding error exponents associated with erasure/list Slepian-Wolf decoding using two different methods and then compare the resulting bounds. The first method follows the well known techniques of Gallager and Forney and the…

Information Theory · Computer Science 2013-05-27 Neri Merhav

Likelihood-free inference methods based on neural conditional density estimation were shown to drastically reduce the simulation burden in comparison to classical methods such as ABC. When applied in the context of any latent variable…

Machine Learning · Statistics 2024-05-06 Sanmitra Ghosh , Paul J. Birrell , Daniela De Angelis

Testing composite null hypotheses arises in various applications, such as mediation and replicability analyses. The problem becomes more challenging in high-throughput experiments where tens of thousands of features are examined…

Methodology · Statistics 2025-04-29 Pengfei Lyu , Xianyang Zhang , Hongyuan Cao

We analyze the dispersions of distributed lossless source coding (the Slepian-Wolf problem), the multiple-access channel and the asymmetric broadcast channel. For the two-encoder Slepian-Wolf problem, we introduce a quantity known as the…

Information Theory · Computer Science 2014-01-23 Vincent Y. F. Tan , Oliver Kosut

Safe Reinforcement Learning from Human Feedback (Safe RLHF) has recently achieved empirical success in developing helpful and harmless large language models by decoupling human preferences regarding helpfulness and harmlessness. Existing…

Machine Learning · Computer Science 2026-04-22 Qiang Liu , Adrienne Kline , Ermin Wei

Across most qubit platforms, the readout fidelities do not keep up with the gate fidelities, and new ways to increase the readout fidelities are searched for. For semiconductor spin qubits, a typical qubit-readout signal consists of a…

Quantum Physics · Physics 2025-09-17 Maria Spethmann , Peter Stano , Daniel Loss

Hidden Markov Models (HMMs) can be accurately approximated using co-occurrence frequencies of pairs and triples of observations by using a fast spectral method in contrast to the usual slow methods like EM or Gibbs sampling. We provide a…

Machine Learning · Statistics 2012-03-29 Dean P. Foster , Jordan Rodu , Lyle H. Ungar

Recently, large language models (LLMs) have achieved significant progress in automated code generation. Despite their strong instruction-following capabilities, these models frequently struggled to align with user intent in coding…

Machine Learning · Computer Science 2025-06-23 Zeyuan Li , Yangfan He , Lewei He , Jianhui Wang , Tianyu Shi , Bin Lei , Yuchen Li , Qiuwu Chen

We aim to model unknown file processing. As the content of log files often evolves over time, we established a dynamic statistical model which learns and adapts processing and parsing rules. First, we limit the amount of unstructured text…

Machine Learning · Computer Science 2020-01-07 Nadine Kuhnert , Andreas Maier

The problem of classical data compression when the decoder has quantum side information at his disposal is considered. This is a quantum generalization of the classical Slepian-Wolf theorem. The optimal compression rate is found to be…

Quantum Physics · Physics 2017-08-01 I. Devetak , A. Winter

Huffman compression is a statistical, lossless, data compression algorithm that compresses data by assigning variable length codes to symbols, with the more frequently appearing symbols given shorter codes than the less. This work is a…

Information Theory · Computer Science 2011-07-11 R. L. Cloud , M. L. Curry , H. L. Ward , A. Skjellum , P. Bangalore

We propose a rigorous analysis approach for the subset sum problem in the context of lossless data compression, where the phase transition of the subset sum problem is directly related to the passage between ambiguous and non-ambiguous…

Information Theory · Computer Science 2015-05-28 Neri Merhav

The reliability function of variable-rate Slepian-Wolf coding is linked to the reliability function of channel coding with constant composition codes, through which computable lower and upper bounds are derived. The bounds coincide at rates…

Information Theory · Computer Science 2016-08-08 Jun Chen , Da-ke He , Ashish Jagmohan , Luis A. Lastras-Montaño

The anti-interference capability of wireless links is a physical layer problem for edge computing. Although convolutional codes have inherent error correction potential due to the redundancy introduced in the data, the performance of the…

Information Theory · Computer Science 2022-11-15 Haoyu Li , Xuan Wang , Tong Liu , Dingyi Fang , Baoying Liu

We consider a distributed parameter estimation problem, in which multiple terminals send messages related to their local observations using limited rates to a fusion center who will obtain an estimate of a parameter related to observations…

Information Theory · Computer Science 2015-11-11 Mostafa El Gamal , Lifeng Lai

A two-party key agreement problem with public discussion, known as the source model problem, is considered. By relating key agreement to hypothesis testing, a new coding scheme is developed that yields a sufficient condition to achieve a…

Information Theory · Computer Science 2020-07-23 Amin Gohari , Onur Günlü , Gerhard Kramer

We introduce a new formulation of the Hidden Parameter Markov Decision Process (HiP-MDP), a framework for modeling families of related tasks using low-dimensional latent embeddings. Our new framework correctly models the joint uncertainty…

Machine Learning · Statistics 2017-11-01 Taylor Killian , Samuel Daulton , George Konidaris , Finale Doshi-Velez

[Draft] In this paper, the redundancy of Slepian Wolf coding is revisited. Applying the random binning and converse technique in \cite{yang}, the same results in \cite{he} are obtained with much simpler proofs. Moreover, our results reflect…

Information Theory · Computer Science 2013-05-09 Duo Xu

We address the multiple testing problem under the assumption that the true/false hypotheses are driven by a Hidden Markov Model (HMM), which is recognized as a fundamental setting to model multiple testing under dependence since the seminal…

Methodology · Statistics 2021-05-04 Marie Perrot-Dockès , Gilles Blanchard , Pierre Neuvial , Etienne Roquain

Consider the problem of predicting the next symbol given a sample path of length n, whose joint distribution belongs to a distribution class that may have long-term memory. The goal is to compete with the conditional predictor that knows…

Statistics Theory · Mathematics 2024-04-25 Yanjun Han , Tianze Jiang , Yihong Wu