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The problem of mobile position estimation in multipath scenarios is addressed. A low-complexity, fully-adaptive algorithm is proposed, based on the pseudo maximum likelihood approach. The processing is done exclusively on-board at the…

Signal Processing · Electrical Eng. & Systems 2019-02-12 Alessio Fascista , Angelo Coluccia , Giuseppe Ricci

Understanding and approximating extremal energy states of local Hamiltonians is a central problem in quantum physics and complexity theory. Recent work has focused on developing approximation algorithms for local Hamiltonians, and in…

Quantum Physics · Physics 2026-04-10 Jun Takahashi , Chaithanya Rayudu , Cunlu Zhou , Robbie King , Kevin Thompson , Ojas Parekh

Spatial modulation (SM) is a promising multiple-input multiple-output system used to increase spectral efficiency. The maximum likelihood (ML) decoder jointly detects the transmitted SM symbol, which is of high complexity. In this paper, a…

Information Theory · Computer Science 2020-06-11 Ibrahim Al-Nahhal , Octavia A. Dobre , Salama Ikki

We address the solution of Mixed Integer Linear Programming (MILP) models with strong relaxations that are derived from Dantzig-Wolfe decompositions and allow a pseudo-polynomial pricing algorithm. We exploit their network-flow…

Optimization and Control · Mathematics 2021-06-01 Vinícius L. de Lima , Manuel Iori , Flávio K. Miyazawa

A single input multiple output (SIMO) multiple access channel, with a large number of transmitters sending symbols from a constellation to the receiver of a multi-antenna base station, is considered. The fundamental limits of joint decoding…

Information Theory · Computer Science 2014-04-10 Mainak Chowdhury , Andrea Goldsmith

For verifying the safety of neural networks (NNs), Fazlyab et al. (2019) introduced a semidefinite programming (SDP) approach called DeepSDP. This formulation can be viewed as the dual of the SDP relaxation for a problem formulated as a…

Optimization and Control · Mathematics 2025-04-15 Godai Azuma , Sunyoung Kim , Makoto Yamashita

Massive multiple-input multiple-output (MIMO) is a key technology for fifth generation (5G) communication system. MIMO symbol detection is one of the most computationally intensive tasks for a massive MIMO baseband receiver. In this paper,…

Channel decoding, channel detection, channel assessment, and resource management for wireless multiple-input multiple-output (MIMO) systems are all examples of problems where machine learning (ML) can be successfully applied. In this paper,…

Signal Processing · Electrical Eng. & Systems 2021-12-30 Evgeny Bobrov , Sergey Troshin , Nadezhda Chirkova , Ekaterina Lobacheva , Sviatoslav Panchenko , Dmitry Vetrov , Dmitry Kropotov

In this study, an optimization model for offline scheduling policy of low-density parity-check (LDPC) codes is proposed to improve the decoding efficiency of the belief propagation (BP). The optimization model uses the number of messages…

Information Theory · Computer Science 2024-08-07 Dongxu Chang , Zhiming Ma , Guanghui Wang , Guiying Yan , Dawei Yin

We study the difference between the maximum likelihood estimation (MLE) and its semi-definite programming (SDP) relaxation for the phase synchronization problem, where $n$ latent phases are estimated based on pairwise observations corrupted…

Optimization and Control · Mathematics 2025-10-03 Anderson Ye Zhang

We study an approximation method for partially observed Markov decision processes (POMDPs) with continuous spaces. Belief MDP reduction, which has been the standard approach to study POMDPs requires rigorous approximation methods for…

Optimization and Control · Mathematics 2025-01-20 Ali Devran Kara , Erhan Bayraktar , Serdar Yuksel

Clustering is a widely deployed unsupervised learning tool. Model-based clustering is a flexible framework to tackle data heterogeneity when the clusters have different shapes. Likelihood-based inference for mixture distributions often…

Machine Learning · Statistics 2023-05-30 Yubo Zhuang , Xiaohui Chen , Yun Yang

In multiple-input multiple-output (MIMO) spatially multiplexing (SM) systems, achievable error rate performance is determined by signal detection strategy. The optimal maximum-likelihood detection (MLD) that exhaustively examines all symbol…

Information Theory · Computer Science 2015-03-17 Makoto Tanahashi , Hideki Ochiai

We present a deep learning model, DE-LSTM, for the simulation of a stochastic process with an underlying nonlinear dynamics. The deep learning model aims to approximate the probability density function of a stochastic process via numerical…

Computational Physics · Physics 2018-10-23 Kyongmin Yeo , Igor Melnyk

We consider the problem of estimating the locations of a set of points in a k-dimensional euclidean space given a subset of the pairwise distance measurements between the points. We focus on the case when some fraction of these measurements…

Information Theory · Computer Science 2012-10-19 Venkatesan Ekambaram , Giulia Fanti , Kannan Ramchandran

In this paper, we propose an efficient algorithm for the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network…

Information Theory · Computer Science 2023-02-14 Wei-Kun Chen , Ya-Feng Liu , Fan Liu , Yu-Hong Dai , Zhi-Quan Luo

In massive multiple-input multiple-output (MIMO) systems, it may not be power efficient to have a high-resolution analog-to-digital converter (ADC) for each antenna element. In this paper, a near maximum likelihood (nML) detector for uplink…

Information Theory · Computer Science 2016-02-12 Junil Choi , Jianhua Mo , Robert W. Heath

A longstanding problem related to floating-point implementation of numerical programs is to provide efficient yet precise analysis of output errors. We present a framework to compute lower bounds on largest absolute roundoff errors, for a…

Numerical Analysis · Computer Science 2018-02-13 Victor Magron

Low rank matrix recovery problems appear widely in statistics, combinatorics, and imaging. One celebrated method for solving these problems is to formulate and solve a semidefinite program (SDP). It is often known that the exact solution to…

Optimization and Control · Mathematics 2021-07-26 Lijun Ding , Madeleine Udell

We present a novel linear program for the approximation of the dynamic programming cost-to-go function in high-dimensional stochastic control problems. LP approaches to approximate DP have typically relied on a natural `projection' of a…

Optimization and Control · Mathematics 2009-10-05 V. V. Desai , V. F. Farias , C. C. Moallemi