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2024 Index IEEE Journal on Selected Areas in Information Theory Vol. 5 《信息理论的选择领域》第5卷
Pub Date : 2025-01-13 DOI: 10.1109/JSAIT.2025.3528825
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引用次数: 0
JSAIT Issue on Information-Theoretic Methods for Trustworthy and Reliable Machine Learning JSAIT关于可信和可靠机器学习的信息论方法
Pub Date : 2025-01-07 DOI: 10.1109/JSAIT.2024.3508492
Lalitha Sankar;Oliver Kosut;Flavio Calmon;Ayfer Ozgur;Lele Wang;Ofer Shayevitz;Parastoo Sadeghi
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引用次数: 0
Editorial Data, Physics, and Life Through the Lens of Information Theory 信息理论视角下的编辑数据、物理和生命
Pub Date : 2025-01-06 DOI: 10.1109/JSAIT.2024.3499012
Jun Chen;Jerry Gibson;Ioannis Kontoyiannis;Yingbin Liang;S. Sandeep Pradhan;Andreas Winter;Ram Zamir;Richard E. Blahut;Yasutada Oohama;Aaron B. Wagner;Raymond W. Yeung
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引用次数: 0
Board of Governors 理事会
Pub Date : 2025-01-06 DOI: 10.1109/JSAIT.2024.3519913
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引用次数: 0
Rate-Distortion-Perception Tradeoff for Gaussian Vector Sources
Pub Date : 2024-11-29 DOI: 10.1109/JSAIT.2024.3509420
Jingjing Qian;Sadaf Salehkalaibar;Jun Chen;Ashish Khisti;Wei Yu;Wuxian Shi;Yiqun Ge;Wen Tong
This paper studies the rate-distortion-perception (RDP) tradeoff for a Gaussian vector source coding problem where the goal is to compress the multi-component source subject to distortion and perception constraints. Specifically, the RDP setting with either the Kullback-Leibler (KL) divergence or Wasserstein-2 metric as the perception loss function is examined, and it is shown that for Gaussian vector sources, jointly Gaussian reconstructions are optimal. We further demonstrate that the optimal tradeoff can be expressed as an optimization problem, which can be explicitly solved. An interesting property of the optimal solution is as follows. Without the perception constraint, the traditional reverse water-filling solution for characterizing the rate-distortion (RD) tradeoff of a Gaussian vector source states that the optimal rate allocated to each component depends on a constant, called the water level. If the variance of a specific component is below the water level, it is assigned a zero compression rate. However, with active distortion and perception constraints, we show that the optimal rates allocated to the different components are always positive. Moreover, the water levels that determine the optimal rate allocation for different components are unequal. We further treat the special case of perceptually perfect reconstruction and study its RDP function in the high-distortion and low-distortion regimes to obtain insight to the structure of the optimal solution.
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引用次数: 0
Source Coding for Markov Sources With Partial Memoryless Side Information at the Decoder 解码器中具有部分无记忆侧信息的马尔可夫源编码
Pub Date : 2024-11-11 DOI: 10.1109/JSAIT.2024.3496197
Yasutada Oohama
We consider the one helper source coding problem posed and investigated by Ahlswede, Körner, and Wyner for a class of information sources with memory. For this class of information sources we give explicit inner and outer bounds of the admissible rate region. We also give a certain nontrivial class of information sources where the inner and outer bounds match.
我们考虑由Ahlswede、Körner和Wyner针对一类具有内存的信息源提出并研究的一个辅助源编码问题。对于这类信息源,我们给出了可容许率域的显式内界和外界。我们还给出了一类非平凡的信息源,其内界和外界是匹配的。
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引用次数: 0
Deviation From Maximal Entanglement for Mid-Spectrum Eigenstates of Local Hamiltonians 局部哈密顿量中谱特征态的最大纠缠偏差
Pub Date : 2024-10-31 DOI: 10.1109/JSAIT.2024.3487856
Yichen Huang
In a spin chain governed by a local Hamiltonian, we consider a microcanonical ensemble in the middle of the energy spectrum and a contiguous subsystem whose length is a constant fraction of the system size. We prove that if the bandwidth of the ensemble is greater than a certain constant, then the average entanglement entropy (between the subsystem and the rest of the system) of eigenstates in the ensemble deviates from the maximum entropy by at least a positive constant. This result highlights the difference between the entanglement entropy of mid-spectrum eigenstates of (chaotic) local Hamiltonians and that of random states. We also prove that the former deviates from the thermodynamic entropy at the same energy by at least a positive constant.
在一个由局部哈密顿量控制的自旋链中,我们考虑一个位于能谱中间的微正则系综和一个长度为系统大小的常数分数的连续子系统。我们证明了如果系综的带宽大于某个常数,则系综中本征态的平均纠缠熵(子系统与系统其余部分之间)偏离最大熵至少一个正常数。这一结果突出了(混沌)局部哈密顿算子中谱特征态的纠缠熵与随机态的纠缠熵的区别。我们还证明了前者与相同能量下的热力学熵至少有一个正常数的偏离。
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引用次数: 0
Statistical Inference With Limited Memory: A Survey 记忆有限的统计推断:调查
Pub Date : 2024-10-14 DOI: 10.1109/JSAIT.2024.3481296
Tomer Berg;Or Ordentlich;Ofer Shayevitz
The problem of statistical inference in its various forms has been the subject of decades-long extensive research. Most of the effort has been focused on characterizing the behavior as a function of the number of available samples, with far less attention given to the effect of memory limitations on performance. Recently, this latter topic has drawn much interest in the engineering and computer science literature. In this survey paper, we attempt to review the state-of-the-art of statistical inference under memory constraints in several canonical problems, including hypothesis testing, parameter estimation, and distribution property testing/estimation. We discuss the main results in this developing field, and by identifying recurrent themes, we extract some fundamental building blocks for algorithmic construction, as well as useful techniques for lower bound derivations.
几十年来,人们一直在广泛研究各种形式的统计推断问题。大部分研究工作都集中在描述可用样本数量对推理行为的影响,而对内存限制对推理性能影响的关注则少得多。最近,后一个话题引起了工程和计算机科学文献的极大兴趣。在这篇调查报告中,我们试图回顾在内存限制条件下,统计推断在几个典型问题中的最新进展,包括假设检验、参数估计和分布属性测试/估计。我们讨论了这一发展中领域的主要成果,并通过识别重复出现的主题,提取了算法构建的一些基本构件,以及用于下界推导的有用技术。
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引用次数: 0
Tightening Continuity Bounds for Entropies and Bounds on Quantum Capacities 收紧熵的连续性约束和量子能力约束
Pub Date : 2024-09-30 DOI: 10.1109/JSAIT.2024.3469929
Michael G. Jabbour;Nilanjana Datta
Uniform continuity bounds on entropies are generally expressed in terms of a single distance measure between probability distributions or quantum states, typically, the total variation- or trace distance. However, if an additional distance measure is known, the continuity bounds can be significantly strengthened. Here, we prove a tight uniform continuity bound for the Shannon entropy in terms of both the local- and total variation distances, sharpening an inequality in (Sason, 2013). We also obtain a uniform continuity bound for the von Neumann entropy in terms of both the operator norm- and trace distances. We then apply our results to compute upper bounds on channel capacities. We first refine the concept of approximate degradable channels by introducing $(varepsilon ,nu)$ –degradable channels. These are $varepsilon $ –close in diamond norm and $nu $ –close in completely bounded spectral norm to their complementary channel when composed with a degrading channel. This leads to improved upper bounds to the quantum- and private classical capacities of such channels. Moreover, these bounds can be further improved by considering certain unstabilized versions of the above norms. We show that upper bounds on the latter can be efficiently expressed as semidefinite programs. As an application, we obtain a new upper bound on the quantum capacity of the qubit depolarizing channel.
熵的均匀连续性边界一般用概率分布或量子态之间的单一距离度量来表示,通常是总变异距离或痕量距离。然而,如果已知一个额外的距离度量,连续性约束就会大大加强。在这里,我们证明了香农熵在局部变化距离和总变化距离方面的紧密均匀连续性约束,从而使(Sason,2013 年)中的一个不等式更加尖锐。我们还从算子规范距离和迹距两方面得到了冯-诺依曼熵的均匀连续性约束。然后,我们应用我们的结果计算信道容量的上限。我们首先通过引入 $(varepsilon ,nu)$ 可降解通道来完善近似可降解通道的概念。当与降级信道组成时,这些信道与它们的互补信道在菱形规范上接近$varepsilon $,在完全有界谱规范上接近$nu $。这就改进了这类信道的量子容量和私有经典容量的上限。此外,考虑到上述规范的某些非稳定版本,这些界限还能得到进一步改进。我们证明,后者的上界可以有效地表示为半定式程序。作为一个应用,我们获得了量子位去极化信道量子容量的新上界。
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引用次数: 0
Dynamic Group Testing to Control and Monitor Disease Progression in a Population 控制和监测人群疾病进展的动态分组测试
Pub Date : 2024-09-23 DOI: 10.1109/JSAIT.2024.3466649
Sundara Rajan Srinivasavaradhan;Pavlos Nikolopoulos;Christina Fragouli;Suhas Diggavi
Proactive testing and interventions are crucial for disease containment during a pandemic until widespread vaccination is achieved. However, a key challenge remains: Can we accurately identify all new daily infections with only a fraction of tests needed compared to testing everyone, everyday? Group testing reduces the number of tests but overlooks infection dynamics and non i.i.d nature of infections in a community, while on the other hand traditional SIR (Susceptible-Infected-Recovered) models address these dynamics but don’t integrate discrete-time testing and interventions. This paper bridges the gap. We propose a “discrete-time SIR stochastic block model” that incorporates group testing and daily interventions, as a discrete counterpart to the well-known continuous-time SIR model that reflects community structure through a specific weighted graph. We analyze the model to determine the minimum number of daily group tests required to identify all infections with vanishing error probability. We find that one can leverage the knowledge of the community and the model to inform nonadaptive group testing algorithms that are order-optimal, and therefore achieve the same performance as complete testing using a much smaller number of tests.
在实现大范围疫苗接种之前,主动检测和干预对于大流行期间的疾病控制至关重要。然而,关键的挑战依然存在:与每天对每个人进行检测相比,我们能否只用一小部分检测就能准确识别每天所有的新感染病例?集体检测减少了检测次数,但却忽略了社区中的感染动态和感染的非即期性,而另一方面,传统的 SIR(易感者-感染者-康复者)模型解决了这些动态问题,但却没有整合离散时间检测和干预措施。本文弥补了这一不足。我们提出了一种 "离散时间 SIR 随机区块模型",该模型结合了分组检测和日常干预,是著名的连续时间 SIR 模型的离散对应模型,后者通过特定的加权图反映社区结构。我们对该模型进行了分析,以确定以消失的误差概率识别所有感染所需的最小每日分组测试次数。我们发现,我们可以利用对群体和模型的了解,为非适应性群体测试算法提供信息,这种算法是阶次最优的,因此可以用更少的测试次数达到与完全测试相同的性能。
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引用次数: 0
期刊
IEEE journal on selected areas in information theory
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