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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 judged to be the best model. MDL methods
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
Process of acquiring new knowledge
Scientific study of digital information Minimum description length – Model selection principle Minimum message length – Formal information theory restatement
Learning
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)
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
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)
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
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
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
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
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
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 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
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
Incompleteness theorem Inductive inference Kolmogorov complexity Minimum message length Solomonoff's theory of inductive inference *Dowe, D.L. (5 September
Universality_probability
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
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
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
Machine learning paradigm
automata Learning classifier systems Learning vector quantization Minimum message length (decision trees, decision graphs, etc.) Multilinear subspace learning
Supervised_learning
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
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
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
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
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)
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
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
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
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)
Computational complexity theory Inductive inference Minimum message length Minimum description length Schmidhuber, J. (2002) The Speed Prior: A New Simplicity
Speed_prior
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
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
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
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)
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
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)
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
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
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
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
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
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
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
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
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
1995 live album by Wayne Krantz
2 Drink Minimum is an album by jazz guitarist Wayne Krantz. The Allmusic review by David R. Adler awarded the album 4.5 stars stating "Essential listening
2_Drink_Minimum
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
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
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
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
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)
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
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
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 shotgun
require a minimum barrel length of 45 cm and a minimum overall length of 90 cm to be legal. Other shotguns may be of any length. If the barrel length is less
Short-barrelled_shotgun
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
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
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
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
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
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
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
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
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
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
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
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
besides his goods in the diocese where he dies, amounting to a certain minimum value, he is said to have bona notabilia; in which case, the probat of
List_of_Latin_phrases_(full)
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
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)
Water – The length of a watercourse through a reservoir or lake is open to interpretation. For this table, when a source for the total length of a river
List_of_rivers_of_Europe
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
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
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
maximal number of elements in an error-correcting code of a given block length and minimum Hamming weight over a field F q {\displaystyle \mathbb {F} _{q}}
Gilbert–Varshamov bound for linear codes
Gilbert–Varshamov_bound_for_linear_codes
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
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
1999 single by Muse
"Muscle Museum" was released on 22 November 1999 on 7" vinyl—backed with "Minimum"—and double CD—backed with "Do We Need This?", a live acoustic version
Muscle_Museum
Modern longship (launched 2012)
crew from Iceland's President Guðni Th. Jóhannesson, followed by a video message from the captain. The ship was used during the production of the film The
Draken_Harald_Hårfagre
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
Country in the Caribbean
compared to a higher cost of living. Strikebreakers were brought in to keep a minimum of goods moving through the ports. On 1 December 1919, the striking dockworkers
Trinidad_and_Tobago
AI that generates content
incentives from social media companies to spread such content, false political messaging, spamming of scientific research paper submissions, increased time and
Generative_AI
German main battle tank
www.admin.ch. Retrieved 2 March 2023. Swiss Government (24 May 2006). "Message regarding the military acquisition material 2006" (PDF). www.admin.ch.
Leopard_2
Rate at which data is processed in communication networks
point-to-point communication where message latency T ( N ) {\displaystyle T(N)} is modeled as a function of message length N {\displaystyle N} as T ( N )
Network_throughput
British singles sales chart
25 minutes or one digital audio track not longer than 15 minutes with a minimum sale price of 40 pence. The rules have changed many times as technology
UK_singles_chart
Files on Jeffrey Epstein and his affiliates
November 18, 2025. Collins, Kaitlan (August 8, 2025). Hear Epstein accuser's message to Trump on potential Maxwell pardon (News). CNN. Archived from the original
Epstein_files
American assault rifle
rotating bolt Rate of fire Sustained (Short Bursts): 50–60 rounds per minute Minimum Cyclic: 1225 rds per min Effective firing range 328 yds (300 m) Feed system
M231_Firing_Port_Weapon
Term or definition relating to measuring a ship's characteristics
Air draft is the minimum height a ship needs to pass under, while standard draft is the minimum depth a ship needs to float over. Length between perpendiculars
Ship_measurements
Time it takes a transmitter to send message
throughput or effective data rate in bit/s, as: Message delivery time = Message size / Network throughput Minimum-Pairs Protocol End-to-end delay Behrouz A
Transmission_time
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
Ongoing extinction event caused by human activity
Partha (2021). "The Economics of Biodiversity: The Dasgupta Review Headline Messages" (PDF). UK government. p. 1. Archived (PDF) from the original on May 20
Holocene_extinction
Limit on the parameters of a block code
Mathematically, there are exactly qm possible messages of length m, and each message can be regarded as a vector of length m. The encoding scheme converts an m-dimensional
Hamming_bound
President of the United States from 2021 to 2025
incidents with stimulus monies had been less than one percent. Biden's off-message response to a question in April 2009, during the beginning of the swine
Joe_Biden
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
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 MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH
MINIMUM MESSAGE-LENGTH