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Modern Reinforcement Learning (RL) is commonly applied to practical problems with an enormous number of states, where function approximation must be deployed to approximate either the value function or the policy. The introduction of…

Machine Learning · Computer Science 2019-08-09 Chi Jin , Zhuoran Yang , Zhaoran Wang , Michael I. Jordan

The performance of maximum-likelihood (ML) decoded binary linear block codes is addressed via the derivation of tightened upper bounds on their decoding error probability. The upper bounds on the block and bit error probabilities are valid…

Information Theory · Computer Science 2007-07-13 M. Twitto , I. Sason , S. Shamai

The problem of maximum rate achievable with analog network coding for a unicast communication over a layered wireless relay network with directed links is considered. A relay node performing analog network coding scales and forwards the…

Information Theory · Computer Science 2012-05-22 Samar Agnihotri , Sidharth Jaggi , Minghua Chen

We show that successive cancellation list decoding can be formulated exclusively using log-likelihood ratios. In addition to numerical stability, the log-likelihood ratio based formulation has useful properties which simplify the sorting…

Information Theory · Computer Science 2016-02-15 Alexios Balatsoukas-Stimming , Mani Bastani Parizi , Andreas Burg

We study universal decoding over unknown discrete additive channels determined by a finite-state (unifilar) random process. Aiming at low-complexity decoders, we study variants of noise-guessing decoders that use estimators for the…

Information Theory · Computer Science 2025-07-24 Henrique K. Miyamoto , Sheng Yang

Consider a discrete-time Linear Quadratic Regulator (LQR) problem solved using policy gradient descent when the system matrices are unknown. The gradient is transmitted across a noisy channel over a finite time horizon using analog…

Optimization and Control · Mathematics 2025-07-22 Ashwin Verma , Aritra Mitra , Lintao Ye , Vijay Gupta

Estimating and detecting faults is crucial in ensuring safe and efficient automated systems. In the presence of disturbances, noise or varying system dynamics, such estimation is even more challenging. To address this challenge, this…

Optimization and Control · Mathematics 2021-12-13 Chris van der Ploeg , Emilia Silvas , Nathan van de Wouw , Peyman Mohajerin Esfahani

Wireless communication systems generally endure severe fading and interference caused by the time-dispersive channel. Major transmission distortion is produced by channel multipath propagation and overlap of subsequent symbols. To…

Signal Processing · Electrical Eng. & Systems 2023-12-12 Rayyan Abdalla

This paper studies receiver design in single-input multiple-output (SIMO) slow fading channels with imperfect channel state information (CSI) at the receiver only. Using generalized mutual information (GMI) as achievable rate, we study the…

Information Theory · Computer Science 2022-08-19 Wenyi Shi , Shuqin Pang , Wenyi Zhang

We explain how to optimize finite-length LDPC codes for transmission over the binary erasure channel. Our approach relies on an analytic approximation of the erasure probability. This is in turn based on a finite-length scaling result to…

Information Theory · Computer Science 2007-07-13 Abdelaziz Amraoui , Andrea Montanari , Ruediger Urbanke

Accurate noise estimation is essential for fault-tolerant quantum computing, as decoding performance depends critically on the fidelity of the circuit-level noise parameters. In this work, we introduce a differentiable Maximum Likelihood…

Quantum Physics · Physics 2026-02-24 Hanyan Cao , Dongyang Feng , Cheng Ye , Feng Pan

Motivated by fading channels and erasure channels, the problem of reliable communication over deterministic relay networks is studied, in which relay nodes receive a function of the incoming signals and a random network state. An achievable…

Information Theory · Computer Science 2016-11-17 Sung Hoon Lim , Young-Han Kim , Sae-Young Chung

In this paper, we design the optimal rate capacity approaching irregular Low-Density Parity-Check code ensemble over Binary Erasure Channel, by using practical Semi-Definite Programming approach. Our method does not use any relaxation or…

Information Theory · Computer Science 2012-11-28 H. Tavakoli , M. Ahmadian , M. Reza Peyghami

We consider the problem of minimizing upper bounds and maximizing lower bounds on information rates of stationary and ergodic discrete-time channels with memory. The channels we consider can have a finite number of states, such as partial…

Information Theory · Computer Science 2016-11-17 Parastoo Sadeghi , Pascal O. Vontobel , Ramtin Shams

For a physical layer message authentication procedure based on the comparison of channel estimates obtained from the received messages, we focus on an outer bound on the type I/II error probability region. Channel estimates are modelled as…

Information Theory · Computer Science 2016-10-05 Augusto Ferrante , Nicola Laurenti , Chiara Masiero , Michele Pavon , Stefano Tomasin

This paper focuses on approximation and learning performance analysis for deep convolutional neural networks with zero-padding and max-pooling. We prove that, to approximate $r$-smooth function, the approximation rates of deep convolutional…

Machine Learning · Computer Science 2023-08-08 Shao-Bo Lin

Linear programming (LP) decoding approximates maximum-likelihood (ML) decoding of a linear block code by relaxing the equivalent ML integer programming (IP) problem into a more easily solved LP problem. The LP problem is defined by a set of…

Information Theory · Computer Science 2013-01-01 Xiaojie Zhang , Paul H. Siegel

This paper considers state estimation of linear systems using analog amplify and forwarding with multiple sensors, for both multiple access and orthogonal access schemes. Optimal state estimation can be achieved at the fusion center using a…

Information Theory · Computer Science 2009-06-11 Alex S. Leong , Subhrakanti Dey , Jamie S. Evans

This paper considers the problem of reliable communication over discrete-time channels whose impulse responses have length $L$ and exactly $S\leq L$ non-zero coefficients, and whose support and coefficients remain fixed over blocks of $N>L$…

Information Theory · Computer Science 2011-06-29 Arun Pachai Kannu , Philip Schniter

LoRa backscatter (LB) communication systems can be considered as a potential candidate for ultra low power wide area networks (LPWAN) because of their low cost and low power consumption. In this paper, we comprehensively analyze LB…

Information Theory · Computer Science 2023-06-21 Ganghui Lin , Ahmed Elzanaty , Mohamed-Slim Alouini
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