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In a common formulation of semi-infinite programs, the infinite constraint set is a requirement that a function parametrized by the decision variables is nonnegative over an interval. If this function is sufficiently closely approximable by…

Optimization and Control · Mathematics 2017-03-24 Dávid Papp

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

We present an algorithm for approximating semidefinite programs with running time that is sublinear in the number of entries in the semidefinite instance. We also present lower bounds that show our algorithm to have a nearly optimal running…

Optimization and Control · Mathematics 2012-08-28 Dan Garber , Elad Hazan

Continuous phase modulation (CPM) has extensive applications in wireless communications due to its high spectral and power efficiency. However, its nonlinear characteristics pose significant challenges for detection in frequency selective…

Information Theory · Computer Science 2024-08-15 Zilong Liu , Yi Song , Qinghua Guo , Peng Sun , Kexian Gong , Zhongyong Wang

Several applications in medical imaging and non-destructive material testing lead to inverse elliptic coefficient problems, where an unknown coefficient function in an elliptic PDE is to be determined from partial knowledge of its…

Optimization and Control · Mathematics 2022-12-13 Bastian Harrach

This paper introduces an expectation-maximization (EM) algorithm within a wavelet domain Bayesian framework for semi-blind channel estimation of multiband OFDM based UWB communications. A prior distribution is chosen for the wavelet…

Networking and Internet Architecture · Computer Science 2007-08-13 Sajad Sadough , Mahieddine Ichir , Emmanuel Jaffrot , Pierre Duhamel

Deep learning has been recently applied to many problems in wireless communications including modulation classification and symbol decoding. Many of the existing end-to-end learning approaches demonstrated robustness to signal distortions…

Signal Processing · Electrical Eng. & Systems 2020-09-15 Samer Hanna , Chris Dick , Danijela Cabric

Universal fault-tolerant quantum computation will require real-time decoding algorithms capable of quickly extracting logical outcomes from the stream of data generated by noisy quantum hardware. We propose modular decoding, an approach…

Quantum Physics · Physics 2023-03-10 Héctor Bombín , Chris Dawson , Ye-Hua Liu , Naomi Nickerson , Fernando Pastawski , Sam Roberts

Modular quantum computing architectures require error correction schemes that remain effective in the presense of noisy inter-processor operations. We introduce a distributed quantum error correction framework based on approximate codes to…

Quantum Physics · Physics 2025-11-05 Connor Clayton , Bruno Avritzer

Equivariance is a powerful inductive bias in neural networks, improving generalisation and physical consistency. Recently, however, non-equivariant models have regained attention, due to their better runtime performance and imperfect…

Machine Learning · Computer Science 2026-05-27 Torben Berndt , Jan Stühmer

The Volterra Tensor Network lifts the curse of dimensionality for truncated, discrete times Volterra models, enabling scalable representation of highly nonlinear system. This scalability comes at the cost of introducing randomness through…

Optimization and Control · Mathematics 2025-09-25 Eva Memmel , Kim Batselier

A parallel splitting method is proposed for solving systems of coupled monotone inclusions in Hilbert spaces. Convergence is established for a wide class of coupling schemes. Unlike classical alternating algorithms, which are limited to two…

Optimization and Control · Mathematics 2009-02-26 H. Attouch , L. M. Briceno-Arias , P. L. Combettes

We consider baseband equivalent representation of transmission circuits, in the form of a nonlinear dynamical system $\mathbf S$ in discrete time (DT) defined by a series interconnection of a phase-amplitude modulator, a nonlinear dynamical…

Systems and Control · Computer Science 2017-03-21 Omer Tanovic , Alexandre Megretski , Yan Li , Vladimir M. Stojanovic , Mitra Osqui

In this paper, we propose a low-rank coordinate descent approach to structured semidefinite programming with diagonal constraints. The approach, which we call the Mixing method, is extremely simple to implement, has no free parameters, and…

Optimization and Control · Mathematics 2026-05-12 Po-Wei Wang , Wei-Cheng Chang , J. Zico Kolter

Large-scale quantum systems require optical coherence between distant quantum devices, necessitating spectral indistinguishability. Scalable solid-state platforms offer promising routes to this goal. However, environmental disorders,…

Symbol synchronization refers to the estimation of the start of a symbol interval and is needed for reliable detection. In this paper, we develop a symbol synchronization framework for molecular communication (MC) systems where we consider…

Information Theory · Computer Science 2017-02-24 Vahid Jamali , Arman Ahmadzadeh , Robert Schober

In this paper, we consider diffusive molecular communication (MC) systems affected by signal-dependent diffusive noise, inter-symbol interference, and external noise. We design linear and nonlinear fractionally-spaced equalization schemes…

Information Theory · Computer Science 2020-04-28 Trang Ngoc Cao , Vahid Jamali , Nikola Zlatanov , Phee Lep Yeoh , Jamie Evans , Robert Schober

In this paper, we analyze the convergence %semi-convergence properties of projected non-stationary block iterative methods (P-BIM) aiming to find a constrained solution to large linear, usually both noisy and ill-conditioned, systems of…

Numerical Analysis · Mathematics 2022-02-11 Mahdi Mirzapour , Andrzej Cegielski , Tommy Elfving

We propose a computationally efficient method to construct nonparametric, heteroscedastic prediction bands for uncertainty quantification, with or without any user-specified predictive model. Our approach provides an alternative to the…

Machine Learning · Statistics 2023-01-18 Tengyuan Liang

In computer vision, many problems such as image segmentation, pixel labelling, and scene parsing can be formulated as binary quadratic programs (BQPs). For submodular problems, cuts based methods can be employed to efficiently solve…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Peng Wang , Chunhua Shen , Anton van den Hengel , Philip H. S. Torr