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The Maximum Mutual Information (MMI) criterion is different from the Least Error Rate (LER) criterion. It can reduce failing to report small probability events. This paper introduces the Channels Matching (CM) algorithm for the MMI…

Machine Learning · Computer Science 2019-01-30 Chenguang Lu

In molecular communication (MC) systems, the \textit{expected} number of molecules observed at the receiver over time after the instantaneous release of molecules by the transmitter is referred to as the channel impulse response (CIR).…

Information Theory · Computer Science 2016-11-15 Vahid Jamali , Arman Ahmadzadeh , Christophe Jardin , Heinrich Sticht , Robert Schober

This paper studies distance estimation for diffusive molecular communication. The Cramer-Rao lower bound on the variance of the distance estimation error is derived. The lower bound is derived for a physically unbounded environment with…

Information Theory · Computer Science 2015-11-20 Adam Noel , Karen C. Cheung , Robert Schober

Recent contrastive representation learning methods rely on estimating mutual information (MI) between multiple views of an underlying context. E.g., we can derive multiple views of a given image by applying data augmentation, or we can…

Machine Learning · Computer Science 2021-06-28 Alessandro Sordoni , Nouha Dziri , Hannes Schulz , Geoff Gordon , Phil Bachman , Remi Tachet

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

Token-level adaptive training approaches can alleviate the token imbalance problem and thus improve neural machine translation, through re-weighting the losses of different target tokens based on specific statistical metrics (e.g., token…

Computation and Language · Computer Science 2022-03-08 Songming Zhang , Yijin Liu , Fandong Meng , Yufeng Chen , Jinan Xu , Jian Liu , Jie Zhou

Conditional independence testing is a fundamental problem underlying causal discovery and a particularly challenging task in the presence of nonlinear and high-dimensional dependencies. Here a fully non-parametric test for continuous data…

Machine Learning · Statistics 2017-09-06 Jakob Runge

Sequence models assign probabilities to variable-length sequences such as natural language texts. The ability of sequence models to capture temporal dependence can be characterized by the temporal scaling of correlation and mutual…

Machine Learning · Computer Science 2019-05-13 Huitao Shen

Mutual Information (MI) is a fundamental metric for quantifying dependency between two random variables. When we can access only the samples, but not the underlying distribution functions, we can evaluate MI using sample-based estimators.…

Machine Learning · Statistics 2024-10-16 Kyungeun Lee , Wonjong Rhee

Transformation models provide a common tool for regression analysis of censored failure time data. The most common approach towards parameter estimation in these models is based on the nonparametric profile likelihood method. Several…

Statistics Theory · Mathematics 2007-06-13 Dorota M. Dabrowska

Wireless channels in motion-rich urban microcell (UMi) settings are non-stationary; mobility and scatterer dynamics shift the distribution over time, degrading classical and deep estimators. This work proposes conditional prior diffusion…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-19 Muhammad Ahmed Mohsin , Ahsan Bilal , Muhammad Umer , Asad Aali , Muhammad Ali Jamshed , Dean F. Hougen , John M. Cioffi

Diffusion bridge models have recently become a powerful tool in the field of generative modeling. In this work, we leverage their power to address another important problem in machine learning and information theory, the estimation of the…

Machine Learning · Computer Science 2026-03-02 Sergei Kholkin , Ivan Butakov , Evgeny Burnaev , Nikita Gushchin , Alexander Korotin

Recently, several methods have been proposed for estimating the mutual information from sample data using deep neural networks and without the knowing closed form distribution of the data. This class of estimators is referred to as neural…

Information Theory · Computer Science 2022-03-22 Farhad Mirkarimi , Stefano Rini , Nariman Farsad

We consider a class of conditional forward-backward diffusion models for conditional generative modeling, that is, generating new data given a covariate (or control variable). To formally study the theoretical properties of these…

Statistics Theory · Mathematics 2024-10-01 Rong Tang , Lizhen Lin , Yun Yang

A communication setup is considered where a transmitter wishes to convey a message to a receiver and simultaneously estimates the state of that receiver through a common waveform. The state is estimated at the transmitter by means of…

Information Theory · Computer Science 2022-06-03 Mehrasa Ahmadipour , Mari Kobayashi , Miche`le Wigger , Giuseppe Caire

Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previously introduced for estimating the maximum entropy of a set of…

Data Analysis, Statistics and Probability · Physics 2016-01-05 Elliot A. Martin , Jaroslav Hlinka , Alexander Meinke , Filip Děchtěrenko , Jörn Davidsen

We argue that the estimation of mutual information between high dimensional continuous random variables can be achieved by gradient descent over neural networks. We present a Mutual Information Neural Estimator (MINE) that is linearly…

In this paper, a diffusion-based molecular communication channel between two nano-machines is considered. The effect of the amount of memory on performance is characterized, and a simple memory-limited decoder is proposed and its…

Biological Physics · Physics 2014-05-05 Reza Mosayebi , Hamidreza Arjmandi , Amin Gohari , Masoumeh Nasiri Kenari , Urbashi Mitra

A joint communication and channel state estimation problem is investigated, in which reliable information transmission over a noisy channel, and high-fidelity estimation of the channel state, are simultaneously sought. The tradeoff between…

Information Theory · Computer Science 2008-01-09 Wenyi Zhang , Satish Vedantam , Urbashi Mitra

We consider learning causal relationships under conditional moment restrictions. Unlike causal inference under unconditional moment restrictions, conditional moment restrictions pose serious challenges for causal inference, especially in…

Econometrics · Economics 2022-09-30 Masahiro Kato , Masaaki Imaizumi , Kenichiro McAlinn , Haruo Kakehi , Shota Yasui
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