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Related papers: Derivative of BICM Mutual Information

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Radiologists must utilize multiple modal images for tumor segmentation and diagnosis due to the limitations of medical imaging and the diversity of tumor signals. This leads to the development of multimodal learning in segmentation.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Chuyun Shen , Wenhao Li , Haoqing Chen , Xiaoling Wang , Fengping Zhu , Yuxin Li , Xiangfeng Wang , Bo Jin

Divergence is not only an important mathematical concept in information theory, but also applied to machine learning problems such as low-dimensional embedding, manifold learning, clustering, classification, and anomaly detection. We…

Computation · Statistics 2016-11-22 Kun Yang , Hao Su , Wing Hung Wong

The framework of Partial Information Decomposition (PID) unveils complex nonlinear interactions in network systems by dissecting the mutual information (MI) between a target variable and several source variables. While PID measures have…

Data Analysis, Statistics and Probability · Physics 2024-09-23 Chiara Barà , Yuri Antonacci , Marta Iovino , Ivan Lazic , Luca Faes

A comprehensive study of the coded performance of long-haul spectrally-efficient WDM optical fiber transmission systems with different coded modulation decoding structures is presented. Achievable information rates are derived for three…

Information Theory · Computer Science 2024-01-25 Gabriele Liga , Alex Alvarado , Erik Agrell , Polina Bayvel

In this paper we investigate stopping criteria for iterative decoding from a mutual information perspective. We introduce new iteration stopping rules based on an approximation of the mutual information between encoded bits and decoder soft…

Information Theory · Computer Science 2013-02-07 Jinhong Wu , Branimir R. Vojcic , Jia Sheng

We study the generic scaling properties of the mutual information between two disjoint intervals, in a class of one-dimensional quantum critical systems described by the c=1 bosonic field theory. A numerical analysis of a spin-chain model…

Statistical Mechanics · Physics 2009-04-30 Shunsuke Furukawa , Vincent Pasquier , Jun'ichi Shiraishi

Given a pair of predictor variables and a response variable, how much information do the predictors have about the response, and how is this information distributed between unique, redundant, and synergistic components? Recent work has…

Information Theory · Computer Science 2018-10-29 Pradeep Kr. Banerjee , Johannes Rauh , Guido Montúfar

The mutual information is a measure of classical and quantum correlations of great interest in quantum information. It is also relevant in quantum many-body physics, by virtue of satisfying an area law for thermal states and bounding all…

Quantum Physics · Physics 2021-09-15 Samuel O. Scalet , Álvaro M. Alhambra , Georgios Styliaris , J. Ignacio Cirac

Mutual information is a nonlinear measure used in time series analysis in order to measure the linear and non-linear correlations at any lag $\tau$. The aim of this study is to evaluate some of the most commonly used mutual information…

Chaotic Dynamics · Physics 2008-09-15 A. Papana , D. Kugiumtzis

Coded modulation is a key technique to increase the spectral efficiency of coherent optical communication systems. Two popular strategies for coded modulation are turbo trellis-coded modulation (TTCM) and bit-interleaved coded modulation…

Information Theory · Computer Science 2017-10-12 Eric Sillekens , Alex Alvarado , Chigo Okonkwo , Benn C. Thomsen

We develop numerical and analytical approaches to calculate mutual information between complete paths of two molecular components embedded into a larger reaction network. In particular, we focus on a continuous-time Markov chain formalism,…

Molecular Networks · Quantitative Biology 2022-08-09 Anne-Lena Moor , Christoph Zechner

This paper extends some approximation methods that are used to identify closed form Bit Error Rate (BER) expressions which are frequently utilized in investigation and comparison of performance for wireless communication systems in the…

Information Theory · Computer Science 2016-11-18 Tugcan Aktas , Ali Ozgur Yilmaz , Emre Aktas

Information-theoretic quantities like entropy and mutual information have found numerous uses in machine learning. It is well known that there is a strong connection between these entropic quantities and submodularity since entropy over a…

Machine Learning · Computer Science 2021-03-04 Rishabh Iyer , Ninad Khargonkar , Jeff Bilmes , Himanshu Asnani

Normalized mutual information is widely used as a similarity measure for evaluating the performance of clustering and classification algorithms. In this paper, we argue that results returned by the normalized mutual information are biased…

Social and Information Networks · Computer Science 2025-12-23 Maximilian Jerdee , Alec Kirkley , M. E. J. Newman

We address the practical problems of estimating the information relations that characterize large networks. Building on methods developed for analysis of the neural code, we show that reliable estimates of mutual information can be obtained…

Information Theory · Computer Science 2007-07-13 Noam Slonim , Gurinder S. Atwal , Gasper Tkacik , William Bialek

Because of the kinematic reversibility of the Stokes equation, fluid mixing at the microscale requires an interplay between advection and diffusion. Here we introduce mutual information between particle positions before and after mixing as…

Fluid Dynamics · Physics 2024-06-04 Yihong Shi , Ramin Golestanian , Andrej Vilfan

Conditional Mutual Information (CMI) is a measure of conditional dependence between random variables X and Y, given another random variable Z. It can be used to quantify conditional dependence among variables in many data-driven inference…

Machine Learning · Computer Science 2019-06-10 Sudipto Mukherjee , Himanshu Asnani , Sreeram Kannan

Inspired by biological communication systems, molecular communication has been proposed as a viable scheme to communicate between nano-sized devices separated by a very short distance. Here, molecules are released by the transmitter into…

Biological Physics · Physics 2016-11-15 Sachin Kadloor , Raviraj S. Adve , Andrew W. Eckford

We present a comprehensive study of the information rate loss of the max-log approximation for $M$-ary pulse-amplitude modulation (PAM) in a bit-interleaved coded modulation (BICM) system. It is widely assumed that the calculation of…

Information Theory · Computer Science 2024-01-25 Mikhail Ivanov , Christian Häger , Fredrik Brännström , Alexandre Graell i Amat , Alex Alvarado , Erik Agrell

Bit-interleaved coded modulation (BICM) transceivers often use equally spaced constellations and a random interleaver. In this paper, we propose a new BICM design, which considers hierarchical (nonequally spaced) constellations, a bit-level…

Information Theory · Computer Science 2013-03-26 Md. Jahangir Hossain , Alex Alvarado , Leszek Szczecinski
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