Black box (systems)

In science, computing, and engineering, a black box is a system which can be viewed in terms of its inputs and outputs (or transfer characteristics), without any knowledge of its internal workings. Its implementation is "opaque" (black). The term can be used to refer to many inner workings, such as those of a transistor, an engine, an algorithm, the human brain, or an institution or government.

To analyze an open system with a typical "black box approach", only the behavior of the stimulus/response will be accounted for, to infer the (unknown) ''box''. The usual representation of this "black box system" is a data flow diagram centered in the box.

The opposite of a black box is a system where the inner components or logic are available for inspection, which is most commonly referred to as a white box (sometimes also known as a "clear box" or a "glass box").

History

The modern meaning of the term "black box" seems to have entered the English language around 1945. In electronic circuit theory the process of network synthesis from transfer functions, which led to electronic circuits being regarded as "black boxes" characterized by their response to signals applied to their ports, can be traced to Wilhelm Cauer who published his ideas in their most developed form in 1941. Although Cauer did not himself use the term, others who followed him certainly did describe the method as black-box analysis. Vitold Belevitch puts the concept of black-boxes even earlier, attributing the explicit use of two-port networks as black boxes to Franz Breisig in 1921 and argues that 2-terminal components were implicitly treated as black-boxes before that.

In cybernetics, a full treatment was given by Ross Ashby in 1956.Ashby, W. Ross; ''An introduction to cybernetics'', London: Chapman & Hall, 1956, chapter 6: ''The black box'', pp. 86117. A black box was described by Norbert Wiener in 1961 as an unknown system that was to be identified using the techniques of system identification. He saw the first step in self-organization as being able to copy the output behavior of a black box. Many other engineers, scientists and epistemologists, such as Mario Bunge, used and perfected the black box theory in the 1960s.

Systems theory

In systems theory, the ''black box'' is an abstraction representing a class of concrete open system which can be viewed solely in terms of its ''stimuli inputs'' and ''output reactions'':

The understanding of a ''black box'' is based on the "explanatory principle", the hypothesis of a causal relation between the ''input'' and the ''output''. This principle states that ''input'' and ''output'' are distinct, that the system has observable (and relatable) inputs and outputs and that the system is black to the observer (non-openable).Glanville, Ranulph; "Black Boxes", Cybernetics and Human Knowing, 2009, pp. 153–167.

Recording of observed states

An observer makes observations over time. All observations of inputs and outputs of a ''black box'' can be written in a table, in which, at each of a sequence of times, the states of the ''box's'' various parts, input and output, are recorded. Thus, using an example from Ashby, examining a box that has fallen from a flying saucer might lead to this protocol:
Thus, every system, fundamentally, is investigated by the collection of a long protocol, drawn out in time, showing the sequence of input and output states. From this there follows the fundamental deduction that all knowledge obtainable from a Black Box (of given input and output) is such as can be obtained by re-coding the protocol (the ''observation table''); all that, and nothing more.

If the observer also controls input, the investigation turns into an experiment (illustration), and hypotheses about cause and effect can be tested directly.

When the experimenter is also motivated to control the box, there is active feedback in the box/observer relation, promoting what in control theory is called a feed forward architecture.

Modeling

The ''modeling process'' is the construction of a predictive mathematical model, using existing historic data (observation table).

Testing the black box model

A developed ''black box model'' is a validated model when ''black-box testing'' methodsSee for ex. the British standard BS 7925-2 (Software component testing), or its 2001 work draft,
BCS SIGIST (British Computer Society Specialist Interest Group in Software Testing), "Standard for Software Component Testing", Working Draft 3.4, 27 April 200
webpage
ensures that it is, based solely on observable elements.

With back testing, out of time data is always used when testing the black box model. Data has to be written down before it is pulled for black box inputs.

Other theories

''Black box theories'' are those theories defined only in terms of their function. The term can be applied in any field where some inquiry is made into the relations between aspects of the appearance of a system (exterior of the black box), with no attempt made to explain why those relations should exist (interior of the black box). In this context, Newton's theory of gravitation can be described as a black box theory.

Specifically, the inquiry is focused upon a system that has no immediately apparent characteristics and therefore has only factors for consideration held within itself hidden from immediate observation. The observer is assumed ignorant in the first instance as the majority of available data is held in an inner situation away from facile investigations. The ''black box'' element of the definition is shown as being characterised by a system where observable elements enter a perhaps imaginary box with a set of different outputs emerging which are also observable.

Adoption in humanities

In humanities disciplines such as philosophy of mind and behaviorism, one of the uses of black box theory is to describe and understand psychological factors in fields such as marketing when applied to an analysis of consumer behaviour.

Black box theory

''Black Box theory'' is even wider in application than professional studies:

Applications

Computing and mathematics

*In computer programming and software engineering, ''black box testing'' is used to check that the output of a program is as expected, given certain inputs.Beizer, Boris; ''Black-Box Testing: Techniques for Functional Testing of Software and Systems'', 1995, The term "black box" is used because the actual program being executed is not examined.
* In computing in general, a ''black box program'' is one where the user cannot see the inner workings (perhaps because it is a closed source program) or one which has no side effects and the function of which need not be examined, a routine suitable for re-use.
* Also in computing, a black box refers to a piece of equipment provided by a vendor for the purpose of using that vendor's product. It is often the case that the vendor maintains and supports this equipment, and the company receiving the black box typically is hands-off.
*In mathematical modeling, a limiting case.

Science and technology

*In neural networking or heuristic algorithms (computer terms generally used to describe "learning" computers or "AI simulations"), a black box is used to describe the constantly changing section of the program environment which cannot easily be tested by the programmers. This is also called a white box in the context that the program code can be seen, but the code is so complex that it is functionally equivalent to a black box.
*In physics, a black box is a system whose internal structure is unknown, or need not be considered for a particular purpose.
*In cryptography to capture the notion of knowledge obtained by an algorithm through the execution of a cryptographic protocol such as a zero-knowledge proof protocol. If the output of an algorithm when interacting with the protocol matches that of a simulator given some inputs, it only needs to know the inputs.

Other applications

*In philosophy and psychology, the school of behaviorism sees the human mind as a black box;"Mind as a Black Box: The Behaviorist Approach", pp. 85–88, in Friedenberg, Jay; and Silverman, Gordon; ''Cognitive Science: An Introduction to the Study of Mind'', Sage Publications, 2006. see '' other theories''.

See also

* Black box group

* Blackboxing
* Chinese room
* Flight recorder
* Grey box model
* Hysteresis
* ''Open system'':
** in (general) Systems theory
** in Thermodynamics
** in Control theory
* Multi-agent system
* Prediction/Retrodiction
* Related theories
** Oracle machine
** Pattern recognition
** Systems theory
** Signal processing
* System identification
* Stimulus–response model

References

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Cybernetics
Systems theory
Metatheory of science
Metaphors referring to objects
Software design patterns
Programming principles