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Although there is growing interest in measuring integrated information in computational and cognitive systems, current methods for doing so in practice are computationally unfeasible. Existing and novel integration measures are investigated…

Neurons and Cognition · Quantitative Biology 2017-02-08 Max Tegmark

We analyse the problem of transmitting a number of unknown quantum states or one composite system in one go. We derive a lower bound on the performance of such process, measured in the entanglement fidelity. The obtained bound is…

Quantum Physics · Physics 2021-11-12 Piotr Kopszak , Marek Mozrzymas , Michał Studziński , Michał Horodecki

Probabilistic amplitude shaping (PAS) is a coded modulation strategy in which constellation shaping and channel coding are combined. PAS has attracted considerable attention in both wireless and optical communications. Achievable…

Information Theory · Computer Science 2020-07-14 Yunus Can Gültekin , Alex Alvarado , Frans M. J. Willems

The pragmatic approach to coded continuous-phase modulation (CPM) is proposed as a capacity-achieving low-complexity alternative to the serially-concatenated CPM (SC-CPM) coding scheme. In this paper, we first perform a selection of the…

Information Theory · Computer Science 2016-11-17 Alberto Perotti , Alberto Tarable , Sergio Benedetto , Guido Montorsi

Spin-bearing molecules are promising building blocks for quantum technologies as they can be chemically tuned, assembled into scalable arrays, and readily incorporated into diverse device architectures. In molecular systems, optically…

Quantum Physics · Physics 2021-01-27 S. L. Bayliss , D. W. Laorenza , P. J. Mintun , B. Diler , D. E. Freedman , D. D. Awschalom

We apply a recent one-dimensional algorithm for predicting random close packing fractions of polydisperse hard spheres [Farr and Groot, J. Chem. Phys. 133, 244104 (2009)] to the case of lognormal distributions of sphere sizes and mixtures…

Materials Science · Physics 2013-06-07 Robert S. Farr

A steadily growing computational power is employed to perform molecular dynamics simulations of biological macromolecules, which represents at the same time an immense opportunity and a formidable challenge. In fact, large amounts of data…

Soft Condensed Matter · Physics 2022-05-18 Margherita Mele , Roberto Covino , Raffaello Potestio

We revisit the problem of computing (robust) controlled invariant sets for discrete-time linear systems. Departing from previous approaches, we consider implicit, rather than explicit, representations for controlled invariant sets.…

Optimization and Control · Mathematics 2022-08-10 Tzanis Anevlavis , Zexiang Liu , Necmiye Ozay , Paulo Tabuada

The Milne-Eddington approximation provides an analytic and simple solution to the radiative transfer equation. It can be easily implemented in inversion codes that are used to fit spectro-polarimetric observations to infer average values of…

Solar and Stellar Astrophysics · Physics 2022-03-23 A. J. Dorantes-Monteagudo , A. L. Siu-Tapia , C. Quintero Noda , D. Orozco Suárez

Approximate-message passing (AMP) algorithms have become an important element of high-dimensional statistical inference, mostly due to their adaptability and concentration properties, the state evolution (SE) equations. This is demonstrated…

Information Theory · Computer Science 2022-04-20 Cédric Gerbelot , Raphaël Berthier

This paper introduces the probabilistic module interface, which allows encapsulation of complex probabilistic models with latent variables alongside custom stochastic approximate inference machinery, and provides a platform-agnostic…

Artificial Intelligence · Computer Science 2017-05-09 Marco F. Cusumano-Towner , Vikash K. Mansinghka

A simple geometric shaping method is proposed for optical wireless communication systems based on intensity modulation and direct detection (IM/DD) from an information-theoretic perspective. Constellations consisting of equiprobable levels…

Information Theory · Computer Science 2024-12-03 Suhua Zhou , Tianqi Li , Zhaoxi Fang , Jing Zhou , Wenyi Zhang

We present a method that allows efficient and safe approximation of model predictive controllers using kernel interpolation. Since the computational complexity of the approximating function scales linearly with the number of data points, we…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Alexander Rose , Philipp Schaub , Rolf Findeisen

A mathematical model of the process of carbon capture in a packed column by adsorption is developed and analysed. First a detailed study is made of the governing equations. Due to the complexity of the internal geometry it is standard…

Other Condensed Matter · Physics 2020-09-15 T. G. Myers , F. Font , M. G. Hennessy

Sphere decoding (SD) of polar codes is an efficient method to achieve the error performance of maximum likelihood (ML) decoding. But the complexity of the conventional sphere decoder is still high, where the candidates in a target sphere…

Information Theory · Computer Science 2013-08-14 Kai Niu , Kai Chen , Jiaru Lin

In this paper, we provide novel characterizations of the weakly unobservable and the strongly reachable subspaces corresponding to a given state-space system. These characterizations provide closed-form representations for the said…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Imrul Qais , Chayan Bhawal , Debasattam Pal

Looped Transformers provide advantages in parameter efficiency, computational capabilities, and generalization for reasoning tasks. However, their expressive power regarding function approximation remains underexplored. In this paper, we…

Machine Learning · Computer Science 2025-06-06 Kevin Xu , Issei Sato

The Topological Signal Processing (TSP) framework has been recently developed to analyze signals defined over simplicial complexes, i.e. topological spaces represented by finite sets of elements that are closed under inclusion of subsets…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Stefania Sardellitti , Sergio Barbarossa , Lucia Testa

Compressive sensing (CS) is a new technology which allows the acquisition of signals directly in compressed form, using far fewer measurements than traditional theory dictates. Recently, many so-called signal space methods have been…

Numerical Analysis · Mathematics 2015-11-13 Xiaoyi Gu , Deanna Needell , Shenyinying Tu

In pump-probe spectroscopy, one often needs to analyse the transmission or reflection of electromagnetic waves through optically pumped media. Here, it is common practice to approximate the analysis in order to extract non-equilibrium…

Optics · Physics 2019-02-26 Peter Karlsen , Euan Hendry