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Formal information theory restatement of Occam's Razor
Minimum message length (MML) is a Bayesian information-theoretic method for statistical model comparison and selection. It provides a formal information
Minimum_message_length
Model selection principle
Minimum description length (MDL) is a model selection principle where the shortest description of the data is the best model. MDL methods learn through
Minimum_description_length
Measure of algorithmic complexity
Dowe's Minimum Message Length (MML) and Occam's razor pages. Grunwald, P.; Pitt, M.A. (2005). Myung, I. J. (ed.). Advances in Minimum Description Length: Theory
Kolmogorov_complexity
Philosophical problem-solving principle
minimising the total length of a two-part message encoding model followed by data given model gives us the minimum message length (MML) principle. One
Occam's_razor
Statistical concept
graphical methods as outlined in Tarter and Lock and more recently minimum message length (MML) techniques such as Figueiredo and Jain and to some extent
Mixture_model
Process of acquiring new knowledge
Scientific study of digital information Minimum description length – Model selection principle Minimum message length – Formal information theory restatement
Learning
General three-dimensional form of local segments of proteins
protein coordinate data using the Shannon information criterion of Minimum Message Length (MML) inference. SST treats any assignment of secondary structure
Protein_secondary_structure
Unit of information
the term nit in conjunction with minimum message length, which was subsequently changed by the minimum description length community to nat to avoid confusion
Nat_(unit)
Scientific study of digital information
Formal science Inductive probability Info-metrics Minimum message length Minimum description length Philosophy of information Active networking Cryptanalysis
Information_theory
Probabilistic graphical representation of causal relationships
(2005). "Minimum Message Length and Generalized Bayesian Nets with Asymmetric Languages". In Grünwald PD, Myung IJ, Pitt MA (eds.). Advances in Minimum Description
Bayesian_network
Australian computer scientist (1933–2004)
scientist and physicist. Wallace is notable for having devised: The minimum message length principle — an information-theoretic principle in statistics, econometrics
Chris Wallace (computer scientist)
Chris_Wallace_(computer_scientist)
Determining the probability of future events based on past events
and D. M. Boulton developed minimum message length circa 1968. Later Jorma Rissanen developed the minimum description length circa 1978. These methods allow
Inductive_probability
Machine learning algorithm
to use disjunctions (ORs) to join two more paths together using minimum message length (MML). Decision graphs have been further extended to allow for previously
Decision_tree_learning
Wallace and David M. Boulton publish the first of many papers on Minimum Message Length (MML) statistical and inductive inference 1970 – Valerii Denisovich
Timeline of information theory
Timeline_of_information_theory
Mathematical theory
Inductive inference Inductive probability Mill's methods Minimum description length Minimum message length For a philosophical viewpoint, see: Problem of induction
Solomonoff's theory of inductive inference
Solomonoff's_theory_of_inductive_inference
Machine learning paradigm
automata Learning classifier systems Learning vector quantization Minimum message length (decision trees, decision graphs, etc.) Multilinear subspace learning
Supervised_learning
Ratio of competing statistical models
value or cost of each model choice; to use minimum message length (MML). to use minimum description length (MDL). A value of K > 1 means that M1 is more
Bayes_factor
Technique to compress data
Method for the Construction of Minimum-Redundancy Codes". The output from Huffman's algorithm can be viewed as a variable-length code table for encoding a
Huffman_coding
Incompleteness theorem Inductive inference Kolmogorov complexity Minimum message length Solomonoff's theory of inductive inference *Dowe, D.L. (5 September
Universality_probability
Criterion for model selection
criterion Jensen–Shannon divergence Kullback–Leibler divergence Minimum message length The AIC, AICc and BIC defined by Claeskens and Hjort are the negatives
Bayesian information criterion
Bayesian_information_criterion
the Gospel with AI | USCCB". www.usccb.org. Retrieved 9 November 2025. "Message of the Holy Father to participants in the Second Annual Conference on Artificial
Timeline of artificial intelligence
Timeline_of_artificial_intelligence
Method of logical reasoning
Logical reasoning Logical positivism Marcus Hutter Minimum description length Minimum message length New riddle of induction Open world assumption Plausible
Inductive_reasoning
Feature of systems that defy description
algorithmic entropy) of a string is the length of the shortest binary program that outputs that string. Minimum message length is a practical application of this
Complexity
Internet protocol used for error messages in network operations
caused the error message. The length of ICMP error messages should not exceed 576 bytes. This data is used by the host to match the message to the appropriate
Internet Control Message Protocol
Internet_Control_Message_Protocol
Overview of and topical guide to machine learning
Learning Automata Learning Vector Quantization Logistic Model Tree Minimum message length (decision trees, decision graphs, etc.) Nearest Neighbor Algorithm
Outline_of_machine_learning
Topics referred to by the same term
front for the militant group Lashkar-e-Taiba 2050 in Roman numerals Minimum Message Length, a form of unbiased statistical modeling based on information theory
MML
Task of selecting a statistical model from a set of candidate models
information matrix Likelihood-ratio test Mallows's Cp Minimum description length Minimum message length (MML) PRESS statistic, also known as the PRESS criterion
Model_selection
Parameter estimation via sample statistics
maximum-likelihood estimator ultimately agrees with the MAP estimator. The Minimum Message Length (MML) point estimator is based in Bayesian information theory and
Point_estimation
Surname list
(1933–2004), Australian computer scientist and physicist, developer of Minimum Message Length David R. Wallace (1942–2012), American software engineer and inventor
Wallace_(surname)
Subfield of information theory and computer science
complexity – Measure of algorithmic complexity Minimum description length – Model selection principle Minimum message length – Formal information theory restatement
Algorithmic information theory
Algorithmic_information_theory
Topics referred to by the same term
(1933–2004), Australian computer scientist and physicist, developer of Minimum Message Length Chris Wallace (EastEnders), a fictional character in the British
Chris Wallace (disambiguation)
Chris_Wallace_(disambiguation)
Computer network protocol
Fragmentation splits a message into two or more frames. It enables sending messages with initial data available but complete length unknown. Without fragmentation
WebSocket
Network utility used to test the reachability of a host
calculated from the ICMP message (starting with the Type field), prepended with an IPv6 pseudo-header. Payload: variable length Optional. Payload for the
Ping_(networking_utility)
International car standard
protocol with a length-data format and is often misinterpreted as such. A message longer than 7 bytes requires segmenting the message packet over multiple
ISO_15765-2
Standard for serial communication between devices without host computer
are also part of the message. The improved CAN FD extends the length of the data section to up to 64 bytes per frame. The message is transmitted serially
CAN_bus
Reference value of length
A unit of length is any arbitrarily chosen and accepted reference standard for measurement of length. The most common units in modern use are the metric
Unit_of_length
Number of bits that differ between two strings
vectors of equal length is the number of positions at which the corresponding symbols are different. In other words, it measures the minimum number of substitutions
Hamming_distance
Algorithms to decode messages
{\displaystyle C\subset \mathbb {F} _{2}^{n}} is a linear code of length n {\displaystyle n} and minimum distance d {\displaystyle d} with parity-check matrix H
Decoding_methods
Structure of Stream Control Transmission Protocol packets
optional/variable-length parameters, the parameter type, parameter length, and parameter value fields all behave just like their chunk counterparts. The minimum size
SCTP_packet_structure
Set of cryptographic hash functions
(Padding): begin with the original message of length L bits append a single '1' bit append K '0' bits, where K is the minimum number >= 0 such that (L + 1 +
SHA-2
Computational complexity theory Inductive inference Minimum message length Minimum description length Schmidhuber, J. (2002) The Speed Prior: A New Simplicity
Speed_prior
Comparison of a wide range of lengths
silk fibre[citation needed] 17 μm – minimum width of a strand of human hair 17.6 μm – one twip, a unit of length in typography 10 to 55 μm – width of
Orders_of_magnitude_(length)
Mapping arbitrary data to fixed-size values
that support variable-length output. The values returned by a hash function are called hash values, hash codes, (hash/message) digests, or simply hashes
Hash_function
2015 password-based key derivation function
internally built upon Blake2. Function Hash(message, digestSize) Inputs: message: Bytes (0..232-1) Message to be hashed digestSize: Integer (1..232) Desired
Argon2
Family of error-correcting codes that encode data in blocks
between its message length and its block length: R = k / n {\displaystyle R=k/n} . A large rate means that the amount of actual message per transmitted
Block_code
Simple but inefficient error-correcting code
all zeros - which have a length of n {\displaystyle n} . Therefore, the minimum Hamming distance of the code equals its length n {\displaystyle n} . This
Repetition_code
Internet protocol used for error messages in network operations
fixed minimum period or with a fixed network maximum load. An ICMP error message must never be sent in response to another ICMP error message. A. Conta;
ICMPv6
Family of linear error-correcting codes
For each integer r ≥ 2 there is a code-word with block length n = 2r − 1 and message length k = 2r − r − 1. Hence the rate of Hamming codes is R = k
Hamming_code
Cryptanalyst, mathematician and professor
each of the 36 rows, of which 24 were chosen for each raster. The minimum message length was initially set to 60 characters but was lowered to 45 by the
Walter_Fricke
Counterintuitive observation
observation that the coastline of a landmass does not have a well-defined length or perimeter. This results from the fractal curve–like properties of coastlines
Coastline_paradox
Type of rifle
barrel length for easier handling in confined spaces. Concern about concealment for illegal purposes has encouraged regulations specifying minimum barrel
Short-barreled_rifle
Concept in railway engineering
were made in short lengths of wrought iron,[citation needed] which does not bend like later steel rails introduced in the 1850s. Minimum curve radii for
Minimum_railway_curve_radius
Set of codewords, none a prefix of another
the system. It is trivially true for fixed-length codes, so only a point of consideration for variable-length codes. For example, a code with code { a
Prefix_code
Principal protocol used for transmission of datagrams across an IP network
number. Length: 16 bits This field specifies the length of the UDP datagram (the header fields and Data field) in octets. The minimum length is 8 bytes
User_Datagram_Protocol
Type of two-dimensional barcode
(4 bits). The length of the above message is 17 bytes; hence the 'Len' field is [00010001] (8 bits). The 'End' field is the end-of-message marker [0000]
QR_code
Algorithm for public-key cryptography
cryptography, a user's private key—which can be used to sign messages, or decrypt messages sent to that user—is a pair of large prime numbers chosen at
RSA_cryptosystem
Website for online discussions
usually measured in characters. Often, one is required to have a message with a minimum length of 10 characters. There is always an upper limit, but it is
Internet_forum
Cryptographic protocols for securing data in transit
an extra message extension block. Length: 16 bits; Length < 214 The length of Protocol message(s), MAC and Padding fields combined. The length should not
Transport_Layer_Security
Error-correcting codes
polynomials based on subsets of k (unencoded message length) out of n (encoded message length) values of a received message, choosing the most popular polynomial
Reed–Solomon_error_correction
Time required to receive a response to a query across a communication system
priority associated with ICMP messages used by ping may differ from that of other traffic. End-to-end delay is the length of time it takes for a signal
Round-trip_delay
Form of entropy encoding used in data compression
estimated number of bits in the message, the final message (not counting a logarithmic overhead for the message length and frequency tables) will match
Arithmetic_coding
Life sentence that lasts until the death of the prisoner
Formerly, the home secretary reserved the right to set the "tariff" or minimum length of term for prisoners sentenced to life imprisonment. However, in November
Life imprisonment in England and Wales
Life_imprisonment_in_England_and_Wales
Reliable digital data delivery methods on unreliable channels
algorithm). A hash function adds a fixed-length tag to a message, which enables receivers to verify the delivered message by recomputing the tag and comparing
Error detection and correction
Error_detection_and_correction
French language certification
argumentation in a justified application, reply to message etc., much like at B1 level. The required length of writing is 40 words for A1, 60 to 80 words for
Diplôme d'études en langue française
Diplôme_d'études_en_langue_française
American television series (1966–1973)
package from his superior which, when activated, plays a tape-recorded message that self-destructs after playing once. The IMF was initially led by Dan
Mission: Impossible (1966 TV series)
Mission:_Impossible_(1966_TV_series)
Coding technique in communication technology
Run-length limited (RLL) is a line coding technique that is used to send arbitrary data over a communications channel with bandwidth limits. RLL is used
Run-length_limited
Error-correcting code
binary alphabet, has block length 2 k {\displaystyle 2^{k}} , message length (or dimension) k {\displaystyle k} , and minimum distance 2 k / 2 {\displaystyle
Hadamard_code
Identifier of the destination where email messages are delivered
An email address identifies a mailbox to which email messages are delivered. While early messaging systems used a variety of address formats, email addresses
Email_address
employee relations have seen the introduction of statutory agreements for minimum employee leave from work—that is the amount of entitlement to paid vacation
List of minimum annual leave by country
List_of_minimum_annual_leave_by_country
Shortest network connecting points
total length of the segments. In it, any two points can reach each other along a path through the line segments. It can be found as the minimum spanning
Euclidean minimum spanning tree
Euclidean_minimum_spanning_tree
Smallest message entity exchanged using Internet Protocol version 6
An IPv6 packet is the smallest message entity exchanged using Internet Protocol version 6 (IPv6). Packets consist of control information for addressing
IPv6_packet
Signals broadcast by GPS satellites
to measure the distance to the satellite, and navigation messages. The navigation messages include ephemeris data which are used both in trilateration
GPS_signals
every node knows which of its links belong to the minimum spanning tree and which do not. The message-passing model is one of the most commonly used models
Distributed minimum spanning tree
Distributed_minimum_spanning_tree
Error-correcting codes used in wireless communication
a binary alphabet, has block length 2 m {\displaystyle \textstyle 2^{m}} , message length (or dimension) k, and minimum distance 2 m − r {\displaystyle
Reed–Muller_code
Swedish video game programmer (born 1979)
took inspiration from Skyrim's physics engine, "the more embarrassing minimum-effort Greenlight games", Goat Simulator, and Big Rigs: Over the Road Racing
Markus_Persson
of the TIM is as follows: element ID (1 octet) identifies a TIM element length (1 octet) the size of the whole element (5 to 255) DTIM_count (1 octet)
Traffic_indication_map
Type of matrix barcode
encoding the message, 'Wikipedia, the free encyclopedia'. Message data is placed in a spiral pattern around the core. The mode message begins "01011100"
Aztec_Code
Amateur radio communications software
the information in the message into 50 bits (binary digits). These are encoded using a convolutional code with constraint length K = 32 and a rate of r = 1⁄2
WSPR_(amateur_radio_software)
dependent on the message length, and the number of intermediate nodes. Each additional intermediate node introduces a delay which is at minimum the value of
Message_switching
Number of bits in a key used by a cryptographic algorithm
that to achieve so-called 'perfect secrecy', the key length must be at least as large as the message and only used once (this algorithm is called the one-time
Key_size
Average uncertainty in variable's states
The entropy of a message per bit multiplied by the length of that message is a measure of how much total information the message contains. Shannon's
Entropy_(information_theory)
Computer network protocol
Diameter message. This field indicates the version of the Diameter Base Protocol. As of 2014, the only value supported is 1. The Message Length field indicates
Diameter_(protocol)
Standardized representation of a Huffman code
1) << ((bit length of the next symbol) − (current bit length)) algorithm compute huffman code is input: message ensemble (set of (message, probability))
Canonical_Huffman_code
Consecutive life sentences given to a felon
serving a minimum length of time, on the order of 15–25 years. If a back-to-back penalty is imposed, the defendant must serve that minimum for every life
Back-to-back_life_sentences
Principal protocol used to assign IPv4 addresses on an IPv4 network
including platform-specific parameters. Four years later, the DHCPINFORM message type (used for WPAD) and other small changes were added. This definition
Dynamic Host Configuration Protocol
Dynamic_Host_Configuration_Protocol
Lake in Lombardy, Italy
(81) 30 (86) 29 (84) 23 (73) 19 (66) 12 (54) 9 (48) 18 (64) Mean daily minimum °C (°F) −2 (28) −1 (30) 4 (39) 7 (45) 12 (54) 16 (61) 19 (66) 19 (66) 13
Lake_Como
Minimum Runway Occupancy Time MRP Material Resources Planning MRW maximum ramp weight MSA minimum safe altitude / minimum sector altitude MSD Minimum
List of aviation, avionics, aerospace and aeronautical abbreviations
List_of_aviation,_avionics,_aerospace_and_aeronautical_abbreviations
Concept in genetic algorithm theory
defining length is the number of links in the minimum tree fragment that includes all the non-wildcard symbols within a schema H. The defining length is calculated
Defining_length
Theories about the phenomenon of fascism
have sought to identify what Roger Griffin calls a "fascist minimum"—that is, the minimum conditions a movement must meet to be considered fascist. Other
Definitions_of_fascism
Motorsport race track near Spa, Belgium
2) 13.4 (56.1) 9.6 (49.3) 5.2 (41.4) 2.2 (36.0) 9.0 (48.2) Mean daily minimum °C (°F) −0.9 (30.4) −1.1 (30.0) 1.0 (33.8) 3.7 (38.7) 7.5 (45.5) 10.4 (50
Circuit_de_Spa-Francorchamps
System to identify resources on a network
hostname. TC: 1 bit TrunCation, indicates that this message was truncated due to excessive length. RD: 1 bit Recursion Desired, indicates if the client
Domain_Name_System
Length of ciphertext needed to unambiguously break a cipher
of possible messages, there is an average ciphertext length where there is only one key (on average) that will generate a readable message. In the example
Unicity_distance
Mathematical statistics distance measure
the length of the code for x i {\displaystyle x_{i}} in bits. Therefore, relative entropy can be interpreted as the expected extra message-length per
Kullback–Leibler_divergence
Collection of audio recordings
comprise a minimum total playing time of 15 minutes with at least five distinct tracks or a minimum total playing time of 30 minutes with no minimum track
Album
Neural network that learns efficient data encoding in an unsupervised manner
extracted features resist infinitesimal input perturbations. A minimum description length autoencoder (MDL-AE) is an advanced variation of the traditional
Autoencoder
Salafi jihadist militant organisation
new recruits leave the camp feeling that they have stumbled on the true message of Islam". Theologian and Qatar-based TV broadcaster Yusuf al-Qaradawi
Islamic_State
Data communications modulation protocol
frequency, the out-of-band spectrum will be reduced. Minimum frequency-shift keying or minimum-shift keying (MSK) is a particular spectrally efficient
Frequency-shift_keying
Serial protocol used in financial transaction
bus. The total length of a message packet can range from a minimum of 5 bytes (data-length byte equal to 0) to 260 bytes (data-length byte equal to 255)
CcTalk
2025 murder in Southampton, England
convicted of murder in May 2026 and sentenced to life imprisonment with a minimum term of 21 years, later referred to the Court of Appeal as unduly lenient
Murder_of_Henry_Nowak
Observation in economics
products as similar as possible. This is also referred to as the principle of minimum differentiation as well as Hotelling's linear city model. The observation
Hotelling's_law
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
Boy/Male
Tamil
Message
Girl/Female
Arabic
Message
Boy/Male
Indian
Command, Message
Girl/Female
Indian, Telugu
Giving Message
Girl/Female
Indian
Meaningful Message
Surname or Lastname
English
English : topographic name for someone who lived in a narrow lane or passage, Middle English passage.
Boy/Male
Indian
Command, Message
Boy/Male
Arabic, Indian, Muslim, Parsi
Message
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu, Traditional
Message
Boy/Male
Indian
Beautiful Message
Boy/Male
Indian, Telugu
Message
Boy/Male
Tamil
Correct message
Boy/Male
Tamil
Command, Message
Boy/Male
Muslim
Message
Boy/Male
Tamil
Command, Message
Boy/Male
Tamil
Correct message
Girl/Female
Latin
Divine message.
Girl/Female
Hindu, Indian, Tamil
Message
Boy/Male
Tamil
Message
Boy/Male
Hindu
Correct message
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
Girl/Female
Hindu, Indian, Tamil
Pomegranate Blossom
Boy/Male
Sikh
Protector of Lord, Lords friend
Boy/Male
English
An Old English name meaning golden friend.
Girl/Female
Latin American English French
Happy. Feminine of Felix.
Surname or Lastname
English (chiefly Lancashire)
English (chiefly Lancashire) : habitational name from Great or Little Horrocks in Greater Manchester, so named from the plural of the dialect term hurrock ‘heaped-up pile of loose stones or rubbish’ (of uncertain origin).
Boy/Male
Indian, Punjabi, Sikh
Life Full of Songs of Bliss
Boy/Male
Indian, Punjabi, Sikh
Love with Sky
Girl/Female
British, English
Powerful Warrior
Boy/Male
Arabic, Muslim
Giving Alms; Donation; Charity; Sacrifice
Girl/Female
Indian, Sanskrit
Beautiful Lotus
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
n.
Minimum.
v. i.
A pass or en encounter; as, a passage at arms.
v. i.
A continuous course, process, or progress; a connected or continuous series; as, the passage of time.
n.
Anything very minute; as, the minims of existence; -- applied to animalcula; and the like.
n.
A minim.
n.
A passage different from the usual one; a byway.
n.
A messenger.
n.
A self-registering thermometer, especially one that registers the maximum and minimum during long periods.
n.
The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; -- opposed to minimum.
n.
Any notice, word, or communication, written or verbal, sent from one person to another.
pl.
of Maximum
n.
In a curve referred to polar coordinates, any point for which the radius vector is a maximum or minimum.
v. t.
To bear as a message.
pl.
of Minimum
n.
Hence, specifically, an official communication, not made in person, but delivered by a messenger; as, the President's message.
v. i.
The act of passing; transit from one place to another; movement from point to point; a going by, over, across, or through; as, the passage of a man or a carriage; the passage of a ship or a bird; the passage of light; the passage of fluids through the pores or channels of the body.
v. i.
Price paid for the liberty to pass; fare; as, to pay one's passage.
pl.
of Minimus
n.
The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.