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In this work, we present a novel unsupervised image registration algorithm. It is differentiable end-to-end and can be used for both multi-modal and mono-modal registration. This is done using mutual information (MI) as a metric. The…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Abhishek Nan , Matthew Tennant , Uriel Rubin , Nilanjan Ray

To provide an efficient approach to characterize the input-output mutual information (MI) under additive white Gaussian noise (AWGN) channel, this short report fits the curves of exact MI under multilevel quadrature amplitude modulation…

Information Theory · Computer Science 2019-08-27 Chongjun Ouyang , Sheng Wu , Hongwen Yang

We point out a limitation of the mutual information neural estimation (MINE) where the network fails to learn at the initial training phase, leading to slow convergence in the number of training iterations. To solve this problem, we propose…

Information Theory · Computer Science 2019-06-03 Chung Chan , Ali Al-Bashabsheh , Hing Pang Huang , Michael Lim , Da Sun Handason Tam , Chao Zhao

A new finite form of de Finetti's representation theorem is established using elementary information-theoretic tools. The distribution of the first $k$ random variables in an exchangeable vector of $n\geq k$ random variables is close to a…

Information Theory · Computer Science 2024-04-29 Mario Berta , Lampros Gavalakis , Ioannis Kontoyiannis

A renowned information-theoretic formula by Shannon expresses the mutual information rate of a white Gaussian channel with a stationary Gaussian input as an integral of a simple function of the power spectral density of the channel input.…

Information Theory · Computer Science 2018-10-23 Xianming Liu , Ronit Bustin , Guangyue Han , Shlomo Shamai

We propose a fully data-driven approach to designing mutual information (MI) estimators. Since any MI estimator is a function of the observed sample from two random variables, we parameterize this function with a neural network (MIST) and…

Machine Learning · Computer Science 2026-02-24 German Gritsai , Megan Richards , Maxime Méloux , Kyunghyun Cho , Maxime Peyrard

In this contribution, an algorithm for evaluating the capacity-achieving input covariance matrices for frequency selective Rayleigh MIMO channels is proposed. In contrast with the flat fading Rayleigh case, no closed-form expressions for…

Information Theory · Computer Science 2011-04-13 Florian Dupuy , Philippe Loubaton

A finite form of de Finetti's representation theorem is established using elementary information-theoretic tools: The distribution of the first $k$ random variables in an exchangeable binary vector of length $n\geq k$ is close to a mixture…

Information Theory · Computer Science 2021-06-28 Lampros Gavalakis , Ioannis Kontoyiannis

We propose learning discrete structured representations from unlabeled data by maximizing the mutual information between a structured latent variable and a target variable. Calculating mutual information is intractable in this setting. Our…

Machine Learning · Computer Science 2020-07-17 Karl Stratos , Sam Wiseman

The presence of mutual information in the research of deep learning has grown significantly. It has been proven that mutual information can be a good objective function to build a robust deep learning model. Most of the researches utilize…

Information Theory · Computer Science 2021-06-29 Marshal Arijona Sinaga

A tautological system, introduced in [16][17], arises as a regular holonomic system of partial differential equations that govern the period integrals of a family of complete intersections in a complex manifold $X$, equipped with a suitable…

Algebraic Geometry · Mathematics 2014-10-28 An Huang , Bong H. Lian , Xinwen Zhu

In the recent years, information theory of quantum-mechanical systems have aroused the interest of many Theoretical Physicist. This due to the fact that it provides a deeper insight into the internal structure of the systems. Also, It is…

Quantum Physics · Physics 2014-08-18 B. J. Falaye , K. J. Oyewumi , S. M. Ikhdair , M. Hamzavi

Machine learning interatomic potentials (MLIPs) often neglect long-range interactions, such as electrostatic and dispersion forces. In this work, we introduce a straightforward and efficient method to account for long-range interactions by…

Machine Learning · Computer Science 2024-12-20 Bingqing Cheng

The expectation-maximization (EM) algorithm is an iterative computational method to calculate the maximum likelihood estimators (MLEs) from the sample data. It converts a complicated one-time calculation for the MLE of the incomplete data…

Computation · Statistics 2016-08-08 Lingyao Meng

We propose a novel estimator of the mutual information between two ordinal vectors $x$ and $y$. Our approach is inductive (as opposed to deductive) in that it depends on the data generating distribution solely through some nonparametric…

Machine Learning · Statistics 2022-04-12 Yves-Laurent Kom Samo

A key parameter of interest recovered from hyperpolarized (HP) MRI measurements is the apparent pyruvate-to-lactate exchange rate, $k_{PL}$, for measuring tumor metabolism. This manuscript presents an information-theory-based optimal…

This work aims to design a distributed extended object tracking (EOT) system over a realistic network, where both the extent and kinematics are required to retain consensus within the entire network. To this end, we resort to the…

Systems and Control · Electrical Eng. & Systems 2022-10-06 Zhifei Li , Yan Liang , Linfeng Xu , Shuli Ma

We prove a version of Talagrand's concentration inequality for subordinated sub-Laplacian on a compact Riemannian manifold using tools from noncommutative geometry. As an application, motivated by quantum information theory, we show that on…

Functional Analysis · Mathematics 2018-07-25 Li Gao , Marius Junge , Nicolas LaRacuente

Estimating the mutual information from samples from a joint distribution is a challenging problem in both science and engineering. In this work, we realize a variational bound that generalizes both discriminative and generative approaches.…

Machine Learning · Statistics 2023-06-05 Marco Federici , David Ruhe , Patrick Forré

In this paper, we consider the problem of joint transmit precoding (TPC) matrix and receive filter matrix design subject to both secrecy and per-transmitter power constraints in the MIMO interference channel, where $K$ legitimate…

Information Theory · Computer Science 2016-01-20 Zhengmin Kong , Shaoshi Yang , Feilong Wu , Shixin Peng , Liang Zhong , Lajos Hanzo