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In previous papers of this series, we presented a formalism able to account for both statistical equilibrium of a multilevel atom and coherent and incoherent scatterings (partial redistribution). aims: This paper provides theoretical…

Solar and Stellar Astrophysics · Physics 2017-11-15 V. Bommier

Traditional communication theory focuses on minimizing transmit power. However, communication links are increasingly operating at shorter ranges where transmit power can be significantly smaller than the power consumed in decoding. This…

Information Theory · Computer Science 2011-02-17 Pulkit Grover , Kristen Ann Woyach , Anant Sahai

This paper gives a replica analysis for the minimum mean square error (MSE) of a massive multiple-input multiple-output (MIMO) system by using Bayesian inference. The Bayes-optimal estimator is adopted to estimate the data symbols and the…

Information Theory · Computer Science 2016-11-15 Chao-Kai Wen , Yongpeng Wu , Kai-Kit Wong , Robert Schober , Pangan Ting

We design iterative receiver schemes for a generic wireless communication system by treating channel estimation and information decoding as an inference problem in graphical models. We introduce a recently proposed inference framework that…

In a multiparty message-passing model of communication, there are $k$ players. Each player has a private input, and they communicate by sending messages to one another over private channels. While this model has been used extensively in…

Data Structures and Algorithms · Computer Science 2013-05-22 Mark Braverman , Faith Ellen , Rotem Oshman , Toniann Pitassi , Vinod Vaikuntanathan

The use of non-orthogonal signals has several benefits over orthogonal signals in multi-coded communications. We provide a novel, theoretical study of non-orthogonal signaling to expand the applicability of these schemes. Motivated by a…

Information Theory · Computer Science 2025-09-11 Brian Nelson , Behrouz Farhang-Boroujeny

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

Information Theory · Computer Science 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural…

Statistics Theory · Mathematics 2018-06-28 Nadezhda Gribkova , Ričardas Zitikis

Computing expected information gain (EIG) from prior to posterior (equivalently, mutual information between candidate observations and model parameters or other quantities of interest) is a fundamental challenge in Bayesian optimal…

Methodology · Statistics 2026-01-30 Fengyi Li , Ricardo Baptista , Youssef Marzouk

The optimal decoder achieving the outage capacity under imperfect channel estimation is investigated. First, by searching into the family of nearest neighbor decoders, which can be easily implemented on most practical coded modulation…

Information Theory · Computer Science 2016-11-15 Pablo Piantanida , Sajad Sadough , Pierre Duhamel

Motivated by the proliferation of mobile devices, we consider a basic form of the ubiquitous problem of time-delay estimation (TDE), but with communication constraints between two non co-located sensors. In this setting, when joint…

Signal Processing · Electrical Eng. & Systems 2024-12-05 Amir Weiss , Yuval Kochman , Gregory W. Wornell

We use extensive Monte Carlo transfer matrix calculations on infinite strips of widths $L$ up to 30 lattice spacing and a finite-size scaling analysis to obtain critical exponents and conformal anomaly number $c$ for the two-dimensional…

Condensed Matter · Physics 2009-10-28 M. P. Nightingale , E. Granato , J. M. Kosterlitz

Large language models are increasingly deployed in settings where reliability matters, yet output-level uncertainty signals such as token probabilities, entropy, and self-consistency can become brittle under calibration--deployment…

Computation and Language · Computer Science 2026-04-20 Yanli Wang , Peng Kuang , Xiaoyu Han , Kaidi Xu , Haohan Wang

One approach for increasing the efficiency of randomized trials is the use of "external controls" -- individuals who received the control treatment studied in the trial during routine practice or in prior experimental studies. Existing…

In this paper, a new problem of transmitting information over the adversarial insertion-deletion channel with feedback is introduced. Suppose that the encoder transmits $n$ binary symbols one-by-one over a channel, in which some symbols can…

Information Theory · Computer Science 2022-01-12 Georg Maringer , Nikita Polyanskii , Ilya Vorobyev , Lorenz Welter

In the era of big data, it is necessary to split extremely large data sets across multiple computing nodes and construct estimators using the distributed data. When designing distributed estimators, it is desirable to minimize the amount of…

Statistics Theory · Mathematics 2022-04-25 Azeem Zaman , Botond Szabó

This paper proposes two distinct contributions to econometric analysis of large information sets and structural instabilities. First, it treats a regression model with time-varying coefficients, stochastic volatility and exogenous…

Methodology · Statistics 2020-04-27 Dimitris Korobilis

Resampling techniques are widely used in statistical inference and ensemble learning, in which estimators' statistical properties are essential. However, existing methods are computationally demanding, because repetitions of…

Machine Learning · Statistics 2019-05-24 Takashi Takahashi , Yoshiyuki Kabashima

Mismatch capacity characterizes the highest information rate for a channel under a prescribed decoding metric, and is thus a highly relevant fundamental performance metric when dealing with many practically important communication…

Information Theory · Computer Science 2022-08-17 Wenhao Ye , Huihui Wu , Shitong Wu , Yizhu Wang , Wenyi Zhang , Hao Wu , Bo Bai

In the pliable variant of index coding, receivers are allowed to decode any new message not known a priori. Optimal code design for this variant involves identifying each receiver's choice of a new message that minimises the overall…

Information Theory · Computer Science 2022-05-06 Lawrence Ong , Badri N. Vellambi