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Recursive list decoding is considered for Reed-Muller (RM) codes. The algorithm repeatedly relegates itself to the shorter RM codes by recalculating the posterior probabilities of their symbols. Intermediate decodings are only performed…

Information Theory · Computer Science 2017-03-17 Ilya Dumer , Kirill Shabunov

Safe navigation for mobile robots demands policies that remain reliable under the high-consequence perception uncertainty of cluttered environments. Yet most existing safe reinforcement learning (RL) methods assess safety through average…

Robotics · Computer Science 2026-05-15 Qisong He , Xinmiao Huang , Jinwei Hu , Zhuoyun Li , Yi Dong , Changshun Wu , Xiaowei Huang

Robust SLAM in large-scale environments requires fault resilience and awareness at multiple stages, from sensing and odometry estimation to loop closure. In this work, we present TBV (Trust But Verify) Radar SLAM, a method for radar SLAM…

This paper considers the average complexity of maximum likelihood (ML) decoding of convolutional codes. ML decoding can be modeled as finding the most probable path taken through a Markov graph. Integrated with the Viterbi algorithm (VA),…

Information Theory · Computer Science 2016-11-17 Jie Luo

For finite coupling lengths, terminated spatially coupled low-density parity-check (SC-LDPC) codes show a non-negligible rate-loss. In this paper, we investigate if this rate loss can be mitigated by tail-biting SC-LDPC codes in conjunction…

Information Theory · Computer Science 2017-04-19 Sebastian Cammerer , Laurent Schmalen , Vahid Aref , Stephan ten Brink

We propose an analytical approach to the computation of tail probabilities of compound distributions whose individual components have heavy tails. Our approach is based on the contour integration method, and gives rise to a representation…

Computational Finance · Quantitative Finance 2017-10-04 Igor Halperin

Cyclic redundancy check (CRC) codes check if a codeword is correctly received. This paper presents an algorithm to design CRC codes that are optimized for the code-specific error behavior of a specified feedforward convolutional code. The…

Information Theory · Computer Science 2015-06-10 Chung-Yu Lou , Babak Daneshrad , Richard D. Wesel

Cartoon-texture image decomposition is a fundamental yet challenging problem in image processing. A significant hurdle in achieving accurate decomposition is the pervasive presence of noise in the observed images, which severely impedes…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Weihao Tang , Hongjin He

The equivalence of a systematic convolutional encoder as linear state-space control system is first realized and presented through an example. Then, utilizing this structure, a new optimal state-sequence estimator is derived, in the spirit…

Information Theory · Computer Science 2020-12-22 Caleb Bowyer

A new Chase-type soft-decision decoding algorithm for Reed-Solomon codes is proposed, referred to as tree-based Chase-type algorithm}. The proposed tree-based Chase-type algorithm takes the set of all vectors as the set of testing patterns,…

Information Theory · Computer Science 2022-05-27 Siyun Tang , Suihua Cai , Xiao Ma Member

This paper investigates the error probability of several decoding methods for a source code with decoder side information, where the decoding methods are: 1) symbol-wise maximum a posteriori decoding, 2) successive-cancellation decoding,…

Information Theory · Computer Science 2019-04-11 Jun Muramatsu

In this paper, we employ the linear systems representation of a convolutional code to develop a decoding algorithm for convolutional codes over the erasure channel. We study the decoding problem using the state space description and this…

Information Theory · Computer Science 2020-08-21 Julia Lieb , Joachim Rosenthal

This work is focused on the application of functional-type a posteriori error estimates and corresponding indicators to a class of time-dependent problems. We consider the algorithmic part of their derivation and implementation and also…

Numerical Analysis · Computer Science 2017-05-25 Bärbel Holm , Svetlana Matculevich

We propose a reduced complexity approach to pattern-based soft decoding of block codes. We start from the ORDEPT decoding algorithm which tests a list of partial error patterns organized in the order of their likelihood and attempts to…

Signal Processing · Electrical Eng. & Systems 2025-06-26 Reza Hadavian , Dmitri Truhachev

Recursive decoding techniques are considered for Reed-Muller (RM) codes of growing length $n$ and fixed order $r.$ An algorithm is designed that has complexity of order $n\log n$ and corrects most error patterns of weight up to…

Information Theory · Computer Science 2017-03-17 Ilya Dumer

We study the problem of robustly estimating the posterior distribution for the setting where observed data can be contaminated with potentially adversarial outliers. We propose Rob-ULA, a robust variant of the Unadjusted Langevin Algorithm…

Machine Learning · Statistics 2019-07-30 Kush Bhatia , Yi-An Ma , Anca D. Dragan , Peter L. Bartlett , Michael I. Jordan

Fifth generation new radio aims to facilitate new use cases in wireless communications. Some of these new use cases have highly de-manding latency requirements; many of the powerful forward error correction codes deployed in current…

Information Theory · Computer Science 2019-01-14 Mehmet Cagri Ilter , Halim Yanikomeroglu

This paper applies probabilistic amplitude shaping (PAS) to a cyclic redundancy check (CRC) aided trellis coded modulation (TCM) to achieve the short-blocklength random coding union (RCU) bound. In the transmitter, the equally likely…

Information Theory · Computer Science 2021-11-18 Linfang Wang , Dan Song , Felipe Areces , Richard D. Wesel

This report presents the test results Python library BaumEvA, which implements evolutionary algorithms for optimizing various types of problems, including computer vision tasks accompanied by the search for optimal model architectures.…

Neural and Evolutionary Computing · Computer Science 2024-05-03 Vadim Tynchenko , Aleksei Kudryavtsev , Vladimir Nelyub , Aleksei Borodulin , Andrei Gantimurov

Parameter recovering of channel codes is important in applications such as cognitive radio. The main task for that of a turbo code is to recover the interleaver. The existing optimal algorithm recovers interleaver parameters incrementally…

Information Theory · Computer Science 2016-05-18 Peidong Yu , Hua Peng , Jing Li
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