Partial information decomposition for discrete target and continuous source random variables
View abstract on PubMed
Summary
This summary is machine-generated.This study introduces a novel partial information decomposition (PID) method for mixed discrete-continuous variables. It accurately quantifies information flow without altering data, crucial for complex systems analysis.
Area Of Science
- Information theory
- Network systems analysis
- Computational neuroscience
Background
- Partial Information Decomposition (PID) quantifies complex interactions in network systems by analyzing mutual information (MI).
- Existing PID methods are primarily for discrete variables, with recent extensions to continuous systems.
- Current PID schemes for mixed discrete-continuous variables require data manipulation, potentially altering information content.
Purpose Of The Study
- To develop a new PID scheme for mixed discrete-continuous variables that avoids data manipulation.
- To accurately estimate the mutual information between a discrete target and continuous sources.
- To provide a robust tool for analyzing information flow in complex systems.
Main Methods
- Introduced a PID scheme expressing MI as Kullback-Leibler divergence for discrete target states and continuous sources.
- Employed a nearest-neighbor strategy for estimating the Kullback-Leibler divergence.
- Validated the method on simulated mixed-variable systems and benchmark datasets.
Main Results
- The proposed PID scheme effectively quantifies information decomposition in mixed variable systems.
- The method accurately estimates mutual information without altering original data.
- Demonstrated effectiveness in simulated environments and on established benchmark data.
Conclusions
- The novel PID approach overcomes limitations of existing methods for mixed discrete-continuous variables.
- This technique offers a non-invasive way to analyze information flow in complex systems.
- Applications include sensory coding in neuroscience and feature selection in machine learning.
Related Concept Videos
The probability of a random variable x is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
Noncompartmental analyses offer an alternative method for describing drug pharmacokinetics without relying on a specific compartmental model. In this approach, the drug's pharmacokinetics are assumed to be linear, with the terminal phase log-linear. This assumption allows for simplified analysis and interpretation of the drug's behavior in the body.
One important characteristic of noncompartmental analyses is that drug exposure increases proportionally with increasing doses. This...
The Discrete-Time Fourier Transform (DTFT) is an essential mathematical tool for analyzing discrete-time signals, converting them from the time domain to the frequency domain. This transformation allows for examining the frequency components of discrete signals, providing insights into their spectral characteristics. In the DTFT, the continuous integral used in the continuous-time Fourier transform is replaced by a summation to accommodate the discrete nature of the signal.
One of the notable...
The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an...
When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...

