Adjusted Mutual Information (AMI) is a measure used to evaluate the quality of clustering results compared to a ground truth classification. It is an adjustment of the Mutual Information (MI) metric, designed to account for the chance agreements that can occur in clustering processes. ### Definitions: 1. **Mutual Information (MI)**: MI quantifies the amount of information obtained about one random variable through another random variable.

"Ascendancy" typically refers to a position of dominance or influence over others. It describes a state where someone or something has rising power, control, or superiority in a particular context, often in politics, social structures, or competitive environments. For example, a political party might gain ascendancy over its rivals during an election cycle, or a particular ideology may achieve ascendancy in public discourse.

The Bretagnolle–Huber inequality is a result in probability theory and statistics that provides bounds on the tail probabilities of sums of independent random variables. It is particularly useful when dealing with distributions that are sub-exponential or have heavy tails.

Differential entropy is a concept in information theory that extends the idea of traditional (or discrete) entropy to continuous probability distributions. While discrete entropy measures the uncertainty associated with a discrete random variable, differential entropy quantifies the uncertainty of a continuous random variable.

Distributed source coding is a concept in information theory that involves the compression of data coming from multiple, potentially correlated, sources. The idea is to efficiently encode the data in such a way that the decoders, which may have access to different parts of the data, are able to reconstruct the original data accurately without requiring all data to be transmitted to a central location.

Directed information is a concept in information theory that is used to quantify the flow of information between two stochastic processes (or random variables) over time. This concept is particularly useful in the analysis of complex systems where one process can influence or cause changes in another process.

In information theory, entropy is a measure of the uncertainty or unpredictability associated with a random variable or a probability distribution. It quantifies the amount of information that is produced on average by a stochastic source of data. The concept was introduced by Claude Shannon in his seminal 1948 paper "A Mathematical Theory of Communication.

The error exponent is a concept in information theory that quantifies the rate at which the probability of error decreases as the length of the transmitted message increases. In the context of coding and communication systems, it provides a measure of how efficiently a coding scheme can minimize the risk of errors in the transmitted data.

A glossary of quantum computing is a compilation of terms and concepts commonly used in the field of quantum computing. Here are some key terms and their definitions: 1. **Quantum Bit (Qubit)**: The basic unit of quantum information, analogous to a classical bit, which can exist in a state of 0, 1, or both simultaneously due to superposition.

Grey Relational Analysis (GRA) is a multi-criteria decision-making technique used primarily in situations where the information is incomplete, uncertain, or vague, which is often the case in real-world problems. It is a part of the broader field of Grey System Theory, developed by Prof. Julong Deng in the 1980s. ### Key Concepts of Grey Relational Analysis: 1. **Grey System Theory**: This theory deals with systems that have partially known and partially unknown information.

The term "information continuum" refers to the concept that information exists in a continuous flow, rather than as discrete, isolated units. This idea suggests that information can transition between different states, formats, and contexts, influencing how it is perceived, generated, shared, and used. The concept of information continuum is often discussed in the contexts of information science, knowledge management, and data analytics.

Roman Jakobson, a prominent linguist, introduced a model of communication that identifies six distinct functions of language. These functions describe different aspects of human communication and how language can be used in various contexts. Here’s a brief overview of each of the six functions: 1. **Referential Function**: This function conveys information and describes the world around us. It is associated with the context or the referent being discussed.

Kullback's inequality, often referred to in the context of Kullback-Leibler (KL) divergence, is an important concept in information theory and statistics. Although it is not necessarily framed as an "inequality" in traditional terms, it relates to the KL divergence between two probability distributions.

Network throughput refers to the rate at which data is successfully transmitted over a network from one point to another in a given amount of time. It is often measured in bits per second (bps) or its multiples, such as kilobits per second (Kbps), megabits per second (Mbps), or gigabits per second (Gbps).

Per-user unitary rate control is a network management technique that regulates the amount of data transmitted to and from individual users or devices within a network. This concept is often used in telecommunications and internet service provision to ensure fairness, avoid congestion, and maintain quality of service (QoS) across all users. ### Key Aspects of Per-user Unitary Rate Control: 1. **Unitary Rate Limiting**: Each user is assigned a specific data transmission rate or limit.

Rényi entropy is a generalization of Shannon entropy that provides a measure of the diversity or uncertainty of a probability distribution. It was introduced by Alfréd Rényi in 1960 and is particularly useful in information theory, statistical mechanics, and various fields dealing with complex systems.

The Principle of Least Privilege (PoLP) is a security concept that dictates that any user, program, or system should be granted the minimum level of access—or permissions—necessary to perform its tasks. The goal is to limit the potential damage or misuse of systems and data by minimizing the access rights for accounts, processes, and applications.

The term "phase factor" is commonly used in various fields such as physics, particularly in quantum mechanics and wave physics. It typically refers to a complex factor that affects the phase of a wave or wavefunction.

The Pragmatic Theory of Information suggests that information is not just a set of data or facts but is context-dependent and centered around the usefulness of that information to individuals or systems in specific situations. This theory emphasizes the role of social interactions, context, and the practical application of knowledge in shaping what is considered information. Key aspects of the Pragmatic Theory of Information include: 1. **Context-Dependence**: The value and meaning of information can vary based on the context in which it is used.

Structural Information Theory (SIT) is an interdisciplinary framework that combines principles from information theory, structure, and semantics to analyze and understand the information content and organization of complex systems. While there may not be a single, universally accepted definition, Structural Information Theory is often associated with several key concepts: 1. **Information Content**: It focuses on quantifying the information stored within structures, be they biological, social, computational, or linguistic.