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Reliability-based design optimization (RBDO) provides a rational and sound framework for finding the optimal design while taking uncertainties into ac-count. The main issue in implementing RBDO methods, particularly stochastic simu-lation…

Applications · Statistics 2020-03-03 Wang-Sheng Liu , Sai Hung Cheung

We study the problem of computing the rate-distortion function for sources with feed-forward and the capacity for channels with feedback. The formulas (involving directed information) for the optimal rate-distortion function with…

Information Theory · Computer Science 2007-07-18 Ramji Venkataramanan , S. Sandeep Pradhan

In some rate-distortion-type problems, the required fidelity of information is affected by past actions. As a result, the distortion function depends not only on the instantaneous distortion between a source symbol and its representation…

Information Theory · Computer Science 2026-01-30 Hamidreza Abin , Amin Gohari , Andrew W. Eckford

Analog coding decouples the tasks of protecting against erasures and noise. For erasure correction, it creates an "analog redundancy" by means of band-limited discrete Fourier transform (DFT) interpolation, or more generally, by an…

Information Theory · Computer Science 2016-05-25 Marina Haikin , Ram Zamir

One of the main challenges in point cloud compression (PCC) is how to evaluate the perceived distortion so that the codec can be optimized for perceptual quality. Current standard practices in PCC highlight a primary issue: while…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Zhang Chen , Shuai Wan , Siyu Ren , Fuzheng Yang , Mengting Yu , Junhui Hou

Random projection algorithm is an iterative gradient method with random projections. Such an algorithm is of interest for constrained optimization when the constraint set is not known in advance or the projection operation on the whole…

Optimization and Control · Mathematics 2013-05-02 Soomin Lee , Angelia Nedich

In this paper, we investigate decentralized non-convex optimization with orthogonal constraints. Conventional algorithms for this setting require either manifold retractions or other types of projection to ensure feasibility, both of which…

Machine Learning · Computer Science 2024-12-10 Youbang Sun , Shixiang Chen , Alfredo Garcia , Shahin Shahrampour

A receiver wants to compute a function of two correlated sources separately observed by two transmitters. One of the transmitters may send a possibly private message to the other transmitter in a cooperation phase before both transmitters…

Information Theory · Computer Science 2015-04-08 Milad Sefidgaran , Aslan Tchamkerten

Image Representation learning via input reconstruction is a common technique in machine learning for generating representations that can be effectively utilized by arbitrary downstream tasks. A well-established approach is using…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Raoof HojatJalali , Edmondo Trentin

This paper considers a class of structured fractional minimization problems. The numerator consists of a differentiable function, a simple nonconvex nonsmooth function, a concave nonsmooth function, and a convex nonsmooth function composed…

Optimization and Control · Mathematics 2025-04-01 Ganzhao Yuan

In this paper, we propose a new framework named Communication Optimal Transport (CommOT) for computing the rate distortion (RD) function. This work is motivated by observing the fact that the transition law and the relative entropy in…

Information Theory · Computer Science 2022-12-21 Shitong Wu , Wenhao Ye , Hao Wu , Huihui Wu , Wenyi Zhang , Bo Bai

A general expression for the distortion rate function (DRF) of cyclostationary Gaussian processes in terms of their spectral properties is derived. This expression can be seen as the result of orthogonalization over the different components…

Information Theory · Computer Science 2016-08-11 Alon Kipnis , Andrea J. Goldsmith , Yonina C. Eldar

This paper proposes a framework for 3D obstacle avoidance in the presence of partial observability of environment obstacles. The method focuses on the utility of the Artificial Potential Function (APF) controller in a practical setting…

Robotics · Computer Science 2021-03-18 Shakeeb Ahmad , Zachary N. Sunberg , J. Sean Humbert

In this paper we introduce two variational equalities of directed information, which are analogous to those of mutual information employed in the Blahut-Arimoto Algorithm (BAA). Subsequently, we introduce nonanticipative Rate Distortion…

Information Theory · Computer Science 2013-05-17 Photios A. Stavrou , Charalambos D. Charalambous

Astronomical radio bursts disperse while traveling through the interstellar medium. To optimally detect a short-duration signal within a frequency band, we have to precisely compensate for the pulse dispersion, which is a computationally…

Instrumentation and Methods for Astrophysics · Physics 2018-03-28 Barak Zackay , Eran O. Ofek

This paper is concerned with quantum data compression of asymptotically many independent and identically distributed copies of ensembles of mixed quantum states. The encoder has access to a side information system. The figure of merit is…

Quantum Physics · Physics 2024-06-21 Zahra Baghali Khanian , Kohdai Kuroiwa , Debbie Leung

Companion paper [118] developed a powerful \emph{Random duality theory} (RDT) based analytical program to statistically characterize performance of \emph{descending} phase retrieval algorithms (dPR) (these include all variants of gradient…

Machine Learning · Statistics 2025-06-24 Mihailo Stojnic

We propose a low-complexity variable forgetting factor (VFF) mechanism for recursive least square (RLS) algorithms in interference suppression applications. The proposed VFF mechanism employs an updated component related to the time average…

Information Theory · Computer Science 2013-02-26 Yunlong Cai , Rodrigo C. de Lamare

This paper presents a fast spectral unmixing algorithm based on Dykstra's alternating projection. The proposed algorithm formulates the fully constrained least squares optimization problem associated with the spectral unmixing task as an…

Computer Vision and Pattern Recognition · Computer Science 2015-05-08 Qi Wei , Jose Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret

We tackle the problem of automatic calibration of radially distorted cameras in challenging conditions. Accurately determining distortion parameters typically requires either 1) solving the full Structure from Motion (SfM) problem involving…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Daniil Sinitsyn , Linus Härenstam-Nielsen , Daniel Cremers
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