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This work explores the advantages of using persistence diagrams (PDs), topological signatures of raw point cloud data, in a point-to-point communication setting. PD is a structural semantics in the sense that it carries information about…

Information Theory · Computer Science 2024-12-31 Charmin Asirimath , Chathuranga Weeraddana , Sumudu Samarakoon , Jayampathy Ratnayake , Mehdi Bennis

The optimal quantum measurements for estimating individual parameters might be incompatible with each other so that they cannot be jointly performed. The tradeoff between the estimation precision for different parameters can be…

Quantum Physics · Physics 2022-06-13 Jingjing Shao , Xiao-Ming Lu

This paper investigates a source coding problem in which two terminals communicating through a relay wish to estimate one another's source within some distortion constraint. The relay has access to side information that is correlated with…

Information Theory · Computer Science 2013-10-10 Farideh Ebrahim Rezagah , Elza Erkip

We study learning algorithms when there is a mismatch between the distributions of the training and test datasets of a learning algorithm. The effect of this mismatch on the generalization error and model misspecification are quantified.…

Information Theory · Computer Science 2022-08-11 Saeed Masiha , Amin Gohari , Mohammad Hossein Yassaee , Mohammad Reza Aref

We extend quantum rate distortion theory by considering auxiliary resources that might be available to a sender and receiver performing lossy quantum data compression. The first setting we consider is that of quantum rate distortion coding…

Quantum Physics · Physics 2013-12-09 Mark M. Wilde , Nilanjana Datta , Min-Hsiu Hsieh , Andreas Winter

The error exponent of fixed-length lossy source coding was established by Marton. Ahlswede showed that this exponent can be discontinuous at a rate $R$, depending on the probability distribution $P$ of the given information source and the…

Information Theory · Computer Science 2023-04-25 Yutaka Jitsumatsu

Consider the two-way rate-distortion problem in which a helper sends a common limited-rate message to both users based on side information at its disposal. We characterize the region of achievable rates and distortions where a Markov form…

Information Theory · Computer Science 2009-04-06 Haim Permuter , Yossi Steinberg , Tsachy Weissman

We revisit and extend the physical interpretation recently given to a certain identity between large--deviations rate--functions (as well as applications of this identity to Information Theory), as an instance of thermal equilibrium between…

Information Theory · Computer Science 2009-08-26 Neri Merhav

The mutual information between a set of stimuli and the elicited neural responses is compared to the corresponding decoded information. The decoding procedure is presented as an artificial distortion of the joint probabilities between…

Biological Physics · Physics 2007-05-23 Ines Samengo

We investigate the upper and lower bounds on the quantization distortions for independent and identically distributed sources in the finite block-length regime. Based on the convex optimization framework of the rate-distortion theory, we…

Information Theory · Computer Science 2013-06-21 Chen Gong , Xiaodong Wang

Motivated by the lossy compression of an active-vision video stream, we consider the problem of finding the rate-distortion function of an arbitrarily varying source (AVS) composed of a finite number of subsources with known distributions.…

Information Theory · Computer Science 2016-09-08 Hari Palaiyanur , Cheng Chang , Anant Sahai

This paper analyzes the fundamental limit of the strategic semantic communication problem in which a transmitter obtains a limited number of indirect observation of an intrinsic semantic information source and can then influence the…

Information Theory · Computer Science 2022-08-09 Yong Xiao , Xu Zhang , Yingyu Li , Guangming Shi , Tamer Basar

Lossy data compression lies at the heart of modern communication and storage systems. Shannon's rate-distortion theory provides the fundamental limit on how much a source can be compressed at a given fidelity, but it assumes infinitely long…

Information Theory · Computer Science 2026-03-10 Bhaskar Krishnamachari

Imbalanced classification problems are extremely common in natural language processing and are solved using a variety of resampling and filtering techniques, which often involve making decisions on how to select training data or decide…

Computation and Language · Computer Science 2022-09-02 Ryan Muther , David Smith

This work simultaneously considers the discriminability and transferability properties of deep representations in the typical supervised learning task, i.e., image classification. By a comprehensive temporal analysis, we observe a trade-off…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Quan Cui , Bingchen Zhao , Zhao-Min Chen , Borui Zhao , Renjie Song , Jiajun Liang , Boyan Zhou , Osamu Yoshie

We analyse families of codes for classical data transmission over quantum channels that have both a vanishing probability of error and a code rate approaching capacity as the code length increases. To characterise the fundamental tradeoff…

Quantum Physics · Physics 2017-08-23 Christopher T. Chubb , Vincent Y. F. Tan , Marco Tomamichel

By optimizing the rate-distortion-realism trade-off, generative compression approaches produce detailed, realistic images, even at low bit rates, instead of the blurry reconstructions produced by rate-distortion optimized models. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Eirikur Agustsson , David Minnen , George Toderici , Fabian Mentzer

We study a distributed learning problem in which Alice sends a compressed distillation of a set of training data to Bob, who uses the distilled version to best solve an associated learning problem. We formalize this as a rate-distortion…

Information Theory · Computer Science 2018-10-30 Parinaz Farajiparvar , Ahmad Beirami , Matthew Nokleby

Computing the rate-distortion function for continuous sources is commonly regarded as a standard continuous optimization problem. When numerically addressing this problem, a typical approach involves discretizing the source space and…

Information Theory · Computer Science 2024-05-02 Lingyi Chen , Shitong Wu , Wenyi Zhang , Huihui Wu , Hao Wu

Many visual representations, such as volume-rendered images and metro maps, feature a noticeable amount of information loss. At a glance, there seem to be numerous opportunities for viewers to misinterpret the data being visualized, hence…

Human-Computer Interaction · Computer Science 2022-04-05 Min Chen , Alfie Abdul-Rahman , Deborah Silver , Mateu Sbert
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