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Challenges in multi-fidelity modeling relate to accuracy, uncertainty estimation and high-dimensionality. A novel additive structure is introduced in which the highest fidelity solution is written as a sum of the lowest fidelity solution…

Machine Learning · Computer Science 2021-04-09 Wei W. Xing , Akeel A. Shah , Peng Wang , Shandian Zhe Qian Fu , Robert. M. Kirby

This paper investigates the capacity of finite-state channels (FSCs) with feedback. We derive an upper bound on the feedback capacity of FSCs by extending the duality upper bound method from mutual information to the case of directed…

Information Theory · Computer Science 2024-01-12 Bashar Huleihel , Oron Sabag , Ziv Aharoni , Haim H. Permuter

The paper studies digital redesign of linear time-invariant analog controllers under intermittent sampling. The sampling pattern is only assumed to be uniformly bounded, but otherwise irregular and unknown a priori. The contribution of the…

Optimization and Control · Mathematics 2016-03-10 Leonid Mirkin

The limits of quantum feedback control have immediate consequences for quantum information science at large, yet remain largely unexplored. Here, we combine quantum filtering theory and moment-sum-of-squares techniques to construct a…

Quantum Physics · Physics 2024-12-09 Flemming Holtorf , Frank Schäfer , Julian Arnold , Christopher Rackauckas , Alan Edelman

This paper focuses on an improved Gaussian approximation (GA) based construction of polar codes with successive cancellation (SC) decoding over an additive white Gaussian noise (AWGN) channel. Arikan has proven that polar codes with…

Information Theory · Computer Science 2020-10-08 Hideki Ochiai , Patrick Mitran , H. Vincent Poor

This paper investigates the asymptotic expansion for the size of block codes defined for the additive white Gaussian noise (AWGN) channel with feedback under the following setting: A peak power constraint is imposed on every transmitted…

Information Theory · Computer Science 2014-10-14 Silas L. Fong , Vincent Y. F. Tan

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also another channel with independent additive Gaussian noise (the feedback channel), and the transmitter observes without delay…

Information Theory · Computer Science 2015-01-21 Marat V. Burnashev , Hirosuke Yamamoto

The capacity of the two-user Gaussian cognitive interference channel, a variation of the classical interference channel where one of the transmitters has knowledge of both messages, is known in several parameter regimes but remains unknown…

Information Theory · Computer Science 2010-07-12 Stefano Rini , Daniela Tuninetti , Natasha Devroye

A coding theorem is proved for a class of stationary channels with feedback in which the output Y_n = f(X_{n-m}^n, Z_{n-m}^n) is the function of the current and past m symbols from the channel input X_n and the stationary ergodic channel…

Information Theory · Computer Science 2007-07-13 Young-Han Kim

We consider the $K\geq 2$-user memoryless Gaussian broadcast channel (BC) with feedback and common message only. We show that linear-feedback schemes with a message point, in the spirit of Schalkwijk & Kailath's scheme for point-to-point…

Information Theory · Computer Science 2016-11-18 Youlong Wu , Paolo Minero , Michèle Wigger

A new outer bound on the capacity region of Gaussian interference channels is developed. The bound combines and improves existing genie-aided methods and is shown to give the sum-rate capacity for noisy interference as defined in this…

Information Theory · Computer Science 2016-11-18 Xiaohu Shang , Gerhard Kramer , Biao Chen

Linear coding schemes have been the main choice of coding for the additive white Gaussian noise broadcast channel (AWGN-BC) with noiseless feedback in the literature. The achievable rate regions of these schemes go well beyond the capacity…

Information Theory · Computer Science 2016-11-15 Ziad Ahmad , Zachary Chance , David J. Love

The capacity of a class of Interference Relay Channels (IRC) -the Injective Semideterministic IRC where the relay can only observe one of the sources- is investigated. We first derive a novel outer bound and two inner bounds which are based…

Information Theory · Computer Science 2016-09-28 Germán Bassi , Pablo Piantanida , Sheng Yang

In this paper we derive closed-form formulas of feedback capacity and nonfeedback achievable rates, for Additive Gaussian Noise (AGN) channels driven by nonstationary autoregressive moving average (ARMA) noise (with unstable one poles and…

Information Theory · Computer Science 2021-06-10 Stelios Louka , Christos Kourtellaris , Charalambos D. Charalambous

This paper studies a scalar Gaussian wiretap channel where instead of an average input power constraint, we consider a peak amplitude constraint on the input. The goal is to obtain insights into the secrecy-capacity and the structure of the…

Information Theory · Computer Science 2021-11-24 Luca Barletta , Alex Dytso

This work studies the secrecy-capacity of a scalar-Gaussian wiretap channel with an amplitude constraint on the input. It is known that for this channel, the secrecy-capacity-achieving distribution is discrete with finitely many points.…

Information Theory · Computer Science 2021-09-06 Luca Barletta , Alex Dytso

The compute-and-forward framework permits each receiver in a Gaussian network to directly decode a linear combination of the transmitted messages. The resulting linear combinations can then be employed as an end-to-end communication…

Information Theory · Computer Science 2016-11-17 Bobak Nazer , Viveck Cadambe , Vasilis Ntranos , Giuseppe Caire

An information measure based on fractional partitions of a set is used to derive a general dependence balance inequality for communication. This inequality is used to obtain new upper bounds on reliable and secret rates for multiterminal…

Information Theory · Computer Science 2026-04-14 Amin Gohari , Gerhard Kramer

This paper introduces computationally efficient methods for synthesizing explicit piecewise affine (PWA) feedback laws for nonlinear discrete-time systems, ensuring robustness and performance guarantees. The approach proceeds by optimizing…

Optimization and Control · Mathematics 2026-05-14 Mario Eduardo Villanueva , Juraj Oravec , Radoslav Paulen , Boris Houska

The utility of limited feedback for coding over an individual sequence of DMCs is investigated. This study complements recent results showing how limited or noisy feedback can boost the reliability of communication. A strategy with fixed…

Information Theory · Computer Science 2016-11-17 Krishnan Eswaran , Anand D. Sarwate , Anant Sahai , Michael Gastpar