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Efficient particle sorting in microfluidic systems is vital for advancements in biomedical diagnostics and industrial applications. This study numerically investigates particle migration and passive sorting in symmetric serpentine…

Fluid Dynamics · Physics 2025-09-16 Sayan Karmakar , Anish Pal , Sourav Sarkar , Achintya Mukhopadhyay

This is the second part of a two-part paper that studies the problem of jamming in a fixed-rate transmission system with fading. In the first part, we studied the scenario with a fast fading channel, and found Nash equilibria of mixed…

Information Theory · Computer Science 2008-08-27 George T. Amariucai , Shuangqing Wei , Rajgopal Kannan

Motivated by results in optical communications, where the performance can degrade dramatically if the transmit power is sufficiently increased, the channel capacity is characterized for various kinds of memoryless vector channels. It is…

Information Theory · Computer Science 2015-03-20 Erik Agrell

In 2010, Silva, Kschischang and K\"otter studied certain classes of finite field matrix channels in order to model random linear network coding where exactly $t$ random errors are introduced. In this paper we consider a generalisation of…

Information Theory · Computer Science 2018-02-01 Simon R. Blackburn , Jessica Claridge

We study the problem of computing the capacity of a discrete memoryless channel under uncertainty affecting the channel law matrix, and possibly with a constraint on the average cost of the input distribution. The problem has been…

Information Theory · Computer Science 2018-05-28 Krzysztof Postek , Aharon Ben-Tal

Many fundamental and key objects in quantum mechanics are linear mappings between particular affine/linear spaces. This structure includes basic quantum elements such as states, measurements, channels, instruments, non-signalling channels…

Quantum Physics · Physics 2024-07-19 Simon Milz , Marco Túlio Quintino

We analyze physical-layer security based on the premise that the coding mechanism for secrecy over noisy channels is tied to the notion of channel resolvability. Instead of considering capacity-based constructions, which associate to each…

Information Theory · Computer Science 2013-09-09 Matthieu R. Bloch , J. Nicholas Laneman

Given metric spaces $(X,d)$ and $(Y,\rho)$ and an ordering $x_1,x_2,\ldots,x_n$ of $(X,d)$, an embedding $f: X \rightarrow Y$ is said to have a prioritized distortion $\alpha(\cdot)$, if for any pair $x_j,x'$ of distinct points in $X$, the…

Data Structures and Algorithms · Computer Science 2019-07-17 Michael Elkin , Ofer Neiman

A multiple-access channel is considered in which messages from one encoder are confidential. Confidential messages are to be transmitted with perfect secrecy, as measured by equivocation at the other encoder. The upper bounds and the…

Information Theory · Computer Science 2007-07-13 Ruoheng Liu , Ivana Maric , Roy D. Yates , Predrag Spasojevic

The practical implementation of maximum likelihood detection is limited by its high complexity as well as requiring perfect channel state information. Although conventional blind detection techniques reduce complexity, they degrade…

Signal Processing · Electrical Eng. & Systems 2019-09-12 M. A. Amirabadi

First-order logic has been established as an important tool for modeling and verifying intricate systems such as distributed protocols and concurrent systems. These systems are parametric in the number of nodes in the network or the number…

Logic in Computer Science · Computer Science 2024-08-21 Raz Lotan , Eden Frenkel , Sharon Shoham

We consider the problem of universally communicating over an unknown and arbitrarily varying channel, using feedback. The focus of this paper is on determining the input behavior, and specifically, a prior distribution which is used to…

Information Theory · Computer Science 2012-02-03 Yuval Lomnitz , Meir Feder

We investigate an original family of quantum distinguishability problems, where the goal is to perfectly distinguish between $M$ quantum states that become identical under a completely decohering map. Similarly, we study distinguishability…

Quantum Physics · Physics 2019-11-06 Kamil Korzekwa , Stanisław Czachórski , Zbigniew Puchała , Karol Życzkowski

Asynchronous programming has gained significant popularity over the last decade: support for this programming pattern is available in many popular languages via libraries and native language implementations, typically in the form of…

Data Structures and Algorithms · Computer Science 2022-11-10 Nikita Koval , Dan Alistarh , Roman Elizarov

Quantum theory allows the traversing of multiple channels in a superposition of different orders. When the order in which the channels are traversed is controlled by an auxiliary quantum system, various unknown parameters of the channels…

Quantum Physics · Physics 2023-09-27 A. Z. Goldberg , L. L. Sanchez-Soto , K. Heshami

The problem of filtering of finite-alphabet stationary ergodic time series is considered. A method for constructing a confidence set for the (unknown) signal is proposed, such that the resulting set has the following properties: First, it…

Information Theory · Computer Science 2012-07-10 Boris Ryabko , Daniil Ryabko

We establish the capacity of a class of communication channels introduced in [1]. The $n$-letter input from a finite alphabet is passed through a discrete memoryless channel $P_{Z|X}$ and then the output $n$-letter sequence is uniformly…

Information Theory · Computer Science 2023-10-30 Jennifer Tang , Yury Polyanskiy

We study the problem of channel resolvability for fixed i.i.d. input distributions and discrete memoryless channels (DMCs), and derive the strong converse theorem for any DMCs that are not necessarily full rank. We also derive the optimal…

Information Theory · Computer Science 2014-04-23 Shun Watanabe , Masahito Hayashi

This paper presents an analysis of the concept of capacity for noisy com- putations, i.e. functions implemented by unreliable or random devices. An information theoretic model of noisy computation of a perfect function f (measurable…

Information Theory · Computer Science 2016-03-23 Francois Simon

First-order optimization methods have attracted a lot of attention due to their practical success in many applications, including in machine learning. Obtaining convergence guarantees and worst-case performance certificates for first-order…

Optimization and Control · Mathematics 2023-10-04 Baptiste Goujaud , Aymeric Dieuleveut , Adrien Taylor