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IEEE Transactions on Information Theory Publication Information IEEE信息论学报,出版信息
IF 2.9 3区 计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-09-22 DOI: 10.1109/TIT.2025.3605036
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引用次数: 0
IEEE Transactions on Information Theory Information for Authors IEEE信息理论汇刊:作者信息
IF 2.9 3区 计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-09-22 DOI: 10.1109/TIT.2025.3605038
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引用次数: 0
Covert Communication and Key Generation Over Quantum State-Dependent Channels 量子态相关信道上的秘密通信和密钥生成
IF 2.9 3区 计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-09-19 DOI: 10.1109/TIT.2025.3612319
Hassan ZivariFard;Rémi A. Chou;Xiaodong Wang
We study covert communication and covert secret key generation with positive rates over quantum state-dependent channels. Specifically, we consider fully quantum state-dependent channels when the transmitter shares an entangled state with the channel. We study this problem setting under two security metrics. For the first security metric, the transmitter aims to communicate covertly with the receiver while simultaneously generating a covert secret key, and for the second security metric, the transmitter aims to transmit a secure message covertly and generate a covert secret key with the receiver simultaneously. Our main results include one-shot and asymptotic achievable positive covert-secret key rate pairs for both security metrics. Our results recover as a special case the best-known results for covert communication over state-dependent classical channels. To the best of our knowledge, our results are the first instance of achieving a positive rate for covert secret key generation and the first instance of achieving a positive covert rate over a quantum channel. Additionally, we show that our results are optimal when the channel is classical and the state is available non-causally at both the transmitter and the receiver.
我们研究了在量子态相关信道上具有正速率的隐蔽通信和隐蔽密钥生成。具体来说,当发射机与信道共享纠缠态时,我们考虑完全依赖量子态的信道。我们在两个安全度量下研究这个问题设置。对于第一安全度量,发送方旨在隐蔽地与接收方通信,同时生成隐蔽密钥;对于第二安全度量,发送方旨在隐蔽地与接收方发送安全消息并同时生成隐蔽密钥。我们的主要结果包括两个安全度量的一次性和渐近可实现的正隐蔽-秘密密钥速率对。作为一个特例,我们的结果恢复了在依赖状态的经典信道上隐蔽通信的最著名的结果。据我们所知,我们的结果是第一个实现隐蔽密钥生成正速率的实例,也是第一个在量子信道上实现正隐蔽速率的实例。此外,我们表明,当信道是经典的,并且状态在发送端和接收端都是非因果可用时,我们的结果是最优的。
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引用次数: 0
Quantitative Group Testing and Pooled Data in the Linear Regime With Sublinear Tests 线性区域的定量群检验和集合数据的亚线性检验
IF 2.9 3区 计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-09-17 DOI: 10.1109/TIT.2025.3611276
Nelvin Tan;Pablo Pascual Cobo;Ramji Venkataramanan
In the pooled data problem, the goal is to identify the categories associated with a large collection of items via a sequence of pooled tests. Each pooled test reveals the number of items in the pool belonging to each category. A prominent special case is quantitative group testing (QGT), which is the case of pooled data with two categories. We consider these problems in the non-adaptive and linear regime, where the fraction of items in each category is of constant order. We propose a scheme with a spatially coupled Bernoulli test matrix and an efficient approximate message passing (AMP) algorithm for recovery. We rigorously characterize its asymptotic performance in both the noiseless and noisy settings, and prove that in the noiseless case, the AMP algorithm achieves almost-exact recovery with a number of tests sublinear in the total number of items p. Although there exist other efficient schemes for noiseless QGT and pooled data that achieve recovery with order-optimal sample complexity ( $Theta left ({{frac {p}{log p}}}right)$ tests), there are no guarantees on their performance in the presence of noise, even at low noise-levels. In comparison, our scheme achieves recovery in the noiseless case with a number of tests sublinear in p, and its performance degrades gracefully in the presence of noise. Numerical simulations illustrate the benefits of the spatially coupled scheme at finite dimensions, showing that it outperforms i.i.d. test designs as well as other recovery algorithms based on convex programming.
在池化数据问题中,目标是通过一系列池化测试确定与大型项目集合相关的类别。每个池测试显示池中属于每个类别的项目数量。一个突出的特殊情况是定量组测试(QGT),它是两类数据池的情况。我们考虑这些问题在非自适应和线性状态下,其中每个类别的项目的比例是恒定的顺序。我们提出了一种利用空间耦合伯努利测试矩阵和高效近似消息传递(AMP)算法的恢复方案。我们严格地描述了其在无噪声和有噪声设置下的渐进性能,并证明了在无噪声情况下,AMP算法在项目总数p的次线性测试中实现了几乎精确的恢复。尽管存在其他有效的无噪声QGT和池数据方案,这些方案实现了有序最优样本复杂度的恢复($Theta left ({{frac {p}{log p}}}right)$测试),但在存在噪声时,它们的性能不能保证。即使在低噪音水平。相比之下,我们的方案在无噪声情况下实现了恢复,在p中有许多次线性的测试,并且在存在噪声的情况下性能下降得很好。数值模拟说明了有限维空间耦合方案的优点,表明它优于i.i.d测试设计以及其他基于凸规划的恢复算法。
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引用次数: 0
A Sample Efficient Alternating Minimization-Based Algorithm for Robust Phase Retrieval 一种基于样本高效交替最小化的鲁棒相位检索算法
IF 2.9 3区 计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-09-12 DOI: 10.1109/TIT.2025.3609564
Adarsh Barik;Anand Krishna;Vincent Y. F. Tan
In this work, we study the robust phase retrieval problem where the task is to recover an unknown signal $boldsymbol {theta }^{*} in mathbb {R} ^{d}$ in the presence of potentially arbitrarily corrupted magnitude-only linear measurements. We propose an alternating minimization approach that incorporates an oracle solver for a non-convex optimization problem as a subroutine. Our algorithm guarantees convergence to $boldsymbol {theta }^{*}$ and provides an explicit polynomial dependence of the convergence rate on the fraction of corrupted measurements. We then provide an efficient construction of the aforementioned oracle under a sparse arbitrary outliers model and offer valuable insights into the geometric properties of the loss landscape in phase retrieval with corrupted measurements. Our proposed oracle avoids the need for computationally intensive spectral initialization, using a simple gradient descent algorithm with a constant step size and random initialization instead. Additionally, our overall algorithm achieves nearly linear sample complexity, $mathcal {O}(d {,}mathrm {polylog}(d))$ .
在这项工作中,我们研究了鲁棒相位恢复问题,其任务是在mathbb {R} ^{d}$中恢复一个未知信号$boldsymbol {theta}^{*} ,其中存在可能任意损坏的仅限幅度的线性测量值。我们提出了一种交替最小化方法,该方法结合了一个非凸优化问题的oracle求解器作为子程序。我们的算法保证收敛到$boldsymbol {theta}^{*}$,并提供了收敛率与损坏测量分数的显式多项式依赖关系。然后,我们在稀疏的任意离群值模型下提供了上述oracle的有效构造,并对具有损坏测量的相位恢复中损失景观的几何特性提供了有价值的见解。我们提出的oracle避免了计算密集型谱初始化的需要,使用了一个简单的梯度下降算法,具有恒定的步长和随机初始化。此外,我们的整体算法实现了接近线性的样本复杂度,$mathcal {O}(d {,} mathm {polylog}(d))$。
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引用次数: 0
Alternating Minimization Schemes for Computing Rate-Distortion-Perception Functions With f-Divergence Perception Constraints 具有f-散度感知约束的计算率-失真-感知函数的交替最小化方案
IF 2.9 3区 计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-09-01 DOI: 10.1109/TIT.2025.3604602
Giuseppe Serra;Photios A. Stavrou;Marios Kountouris
We study the computation of the rate-distortion-perception function (RDPF) for discrete memoryless sources subject to a single-letter average distortion constraint and a perception constraint belonging to the family of f-divergences. In this setting, the RDPF forms a convex programming problem for which we characterize optimal parametric solutions. We employ the developed solutions in an alternating minimization scheme, namely Optimal Alternating Minimization (OAM), for which we provide convergence guarantees. Nevertheless, the OAM scheme does not lead to a direct implementation of a generalized Blahut-Arimoto (BA) type of algorithm due to implicit equations in the iteration’s structure. To overcome this difficulty, we propose two alternative minimization approaches whose applicability depends on the smoothness of the used perception metric: a Newton-based Alternating Minimization (NAM) scheme, relying on Newton’s root-finding method for the approximation of the optimal solution of the iteration, and a Relaxed Alternating Minimization (RAM) scheme, based on relaxing the OAM iterates. We show, by deriving necessary and sufficient conditions, that both schemes guarantee convergence to a globally optimal solution. We also provide sufficient conditions on the distortion and perception constraints, which guarantee that the proposed algorithms converge exponentially fast in the number of iteration steps. We corroborate our theoretical results with numerical simulations and establish connections with existing results.
研究了离散无记忆源在单字母平均失真约束和f-散度族感知约束下的速率-失真-感知函数(RDPF)的计算。在这种情况下,RDPF形成了一个凸规划问题,我们描述了最优参数解。我们将所开发的解应用于交替最小化方案,即最优交替最小化方案(OAM),并提供了收敛性保证。然而,由于迭代结构中的隐式方程,OAM方案不能直接实现广义Blahut-Arimoto (BA)型算法。为了克服这一困难,我们提出了两种可选的最小化方法,其适用性取决于所使用感知度量的平滑性:基于牛顿的交替最小化(NAM)方案,依靠牛顿的寻根方法来逼近迭代的最优解,以及基于放松OAM迭代的放松交替最小化(RAM)方案。通过推导充分必要条件,证明了两种方案都能保证收敛到全局最优解。我们还提供了畸变约束和感知约束的充分条件,保证了所提算法在迭代步数上的指数收敛速度。我们用数值模拟证实了我们的理论结果,并建立了与现有结果的联系。
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引用次数: 0
Performance Analysis of Joint Antenna Selection and Precoding Methods in Multi-User Massive MISO 多用户大规模MISO联合天线选择与预编码方法性能分析
IF 2.9 3区 计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-08-25 DOI: 10.1109/TIT.2025.3602119
Xiuxiu Ma;Abla Kammoun;Mohamed-Slim Alouini;Tareq Y. Al-Naffouri
This paper presents a performance analysis of two distinct techniques for antenna selection and precoding in downlink multi-user massive multiple-input single-output systems with limited dynamic range power amplifiers. Both techniques are derived from the original formulation of the regularized-zero forcing precoder, designed as the solution to minimizing a regularized distortion. Based on this, the first technique, called the $ell _{1}$ -norm precoder, adopts an $ell _{1}$ -norm regularization term to encourage sparse solutions, thereby enabling antenna selection. The second technique, termed the thresholded $ell _{1}$ -norm precoder, involves post-processing the precoder solution obtained from the first method by applying an entry-wise thresholding operation. This work conducts a precise performance analysis to compare these two techniques. The analysis leverages the Gaussian min-max theorem which is effective for examining the asymptotic behavior of optimization problems without explicit solutions. While the analysis of the $ell _{1}$ -norm precoder follows from the conventional convex Gaussian min-max theorem framework, understanding the thresholded $ell _{1}$ -norm precoder is more complex due to the non-linear behavior introduced by the thresholding operation. To address this complexity, we develop a novel Gaussian min-max theorem tailored to these scenarios. We provide precise asymptotic behavior analysis of the precoders, focusing on metrics such as received signal-to-noise and distortion ratio and bit error rate. Our analysis demonstrates that the thresholded $ell _{1}$ -norm precoder can offer superior performance when the threshold parameter is carefully selected. Simulations confirm that the asymptotic results are accurate for systems equipped with hundreds of antennas at the base station, serving dozens of user terminals.
本文对具有有限动态范围功率放大器的下行多用户大规模多输入单输出系统中的天线选择和预编码两种不同的技术进行了性能分析。这两种技术都源于正则化零强制预编码器的原始公式,设计为最小化正则化失真的解决方案。基于此,第一种技术,称为$ well _{1}$范数预编码器,采用$ well _{1}$范数正则化项来鼓励稀疏解,从而实现天线选择。第二种技术,称为阈值化的$ well _{1}$ -norm预编码器,涉及到通过应用入口式阈值操作对从第一种方法获得的预编码器解进行后处理。这项工作进行了精确的性能分析来比较这两种技术。该分析利用高斯最小-最大定理,该定理对于检查无显式解的优化问题的渐近行为是有效的。虽然对$ well _{1}$ -范数预编码器的分析遵循传统的凸高斯最小-极大定理框架,但由于阈值操作引入的非线性行为,理解有阈值的$ well _{1}$ -范数预编码器更为复杂。为了解决这种复杂性,我们针对这些场景开发了一个新的高斯最小-最大定理。我们提供了精确的渐近行为分析的预编码器,重点指标,如接收信噪比和失真率和误码率。我们的分析表明,当仔细选择阈值参数时,阈值$ well _{1}$ -norm预编码器可以提供更好的性能。仿真结果表明,对于配备了数百个天线的基站,服务于数十个用户终端的系统,渐近结果是准确的。
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IF 2.9 3区 计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-08-22 DOI: 10.1109/TIT.2025.3594587
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IF 2.9 3区 计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-08-22 DOI: 10.1109/TIT.2025.3594589
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