Search references for MODEL COLLAPSE. Phrases containing MODEL COLLAPSE
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Degradation of AI models trained on synthetic data
Model collapse, also known by other names such as "AI inbreeding", "AI cannibalism", "Habsburg AI", and "model autophagy disorder" or "MAD" is a phenomenon
Model_collapse
Subset of artificial intelligence
complex the theory is. Model collapse, also known by other names such as "AI inbreeding", "AI cannibalism", "Habsburg AI", and "model autophagy disorder"
Machine_learning
Interpretation of quantum mechanics
Objective-collapse theories, also known as spontaneous collapse models or dynamical reduction models, are proposed solutions to the measurement problem
Objective-collapse_theory
Dark matter halo formation model
The spherical collapse model describes the evolution of nearly homogeneous matter in the early Universe into collapsed virialized structures - dark matter
Spherical_collapse_model
Failure of a generative model to generate diverse samples
mode collapse is a failure mode observed in generative models, originally noted in Generative Adversarial Networks (GANs). It occurs when the model produces
Mode_collapse
2021 building collapse near Miami, Florida, US
addressing issues highlighted in the aftermath of the Surfside collapse. It was modeled on the 40-year recertification scheme. The bill creates a state-wide
Surfside_condominium_collapse
Outcome of the September 11 attacks
understanding of the collapse mechanism could be improved by developing an animated sequence of the collapses based on a global dynamic model, and comparing
Collapse of the World Trade Center
Collapse_of_the_World_Trade_Center
AI that generates content
where each new model is trained on the previous model's output, leads to progressive degradation and eventually results in a "model collapse" after multiple
Generative_AI
Process by which a quantum system takes on a definitive state
interpretation, wave function collapse connects quantum to classical models, with a special role for the observer. By contrast, objective-collapse proposes an origin
Wave_function_collapse
Family of algorithms used in procedural generation
Model synthesis (also wave function collapse or 'wfc') is a family of constraint-solving algorithms commonly used in procedural generation, especially
Model_synthesis
Fall of a complex human society
Societal collapse (also known as civilizational collapse or systems collapse) is the fall of a complex human society characterized by the loss of cultural
Societal_collapse
Phenomenon in machine learning
Representation collapse is a phenomenon in machine learning and representation learning where a model maps different inputs to the same or very similar
Representation_collapse
Phrase used in computer science
spectrum disorder Computer says no Data processing inequality FINO Model collapse No free lunch theorem Standard error Undefined behavior Demming, Anna
Garbage_in,_garbage_out
Decline of classic Maya civilization
archaeology, the classic Maya collapse is a model to describe the destabilization of Classic Maya civilization and the violent collapse and abandonment of many
Classic_Maya_collapse
Societal collapse in the Late Bronze Age
The Late Bronze Age collapse was a period of societal collapse in the Mediterranean basin during the late 13th to early 12th century BC. It is thought
Late_Bronze_Age_collapse
Possible solution to the measurement problem
Diósi–Penrose model was introduced as a possible solution to the measurement problem, where the wave function collapse is related to gravity. The model was first
Diósi–Penrose_model
British electronic music/jungle DJ and producer
here: SULLY - MODEL COLLAPSE | fabric London". www.fabriclondon.com. Retrieved 5 July 2025. Townsend, Megan. "Sully's 'Model Collapse' lands on Official
Sully_(music_producer)
Contraction of an astronomical object due to the influence of its gravity
double-degenerate model. When the combined mass exceeds the Chandrasekhar limit, a Type Ia supernova results. Neutron stars are formed by the gravitational collapse of
Gravitational_collapse
Topics referred to by the same term
diet Model Autophagy Disorder, a variant of model collapse, the gradual degradation in the output of a generative artificial intelligence model trained
Mad
Collapse in behavior due to overcrowding
mice from 1968 to 1972. Calhoun's work became used as an animal model of societal collapse, and his study has become a touchstone of urban sociology and
Behavioral_sink
2024 science fiction novel by Adrian Tchaikovsky
explores the robot's journey to discover a reason for existence during the collapse of human society. Charles is a robotic valet. One day, he finds that he
Service_Model
1988–1991 breakup of the sovereign state
attempt to stop a period of political stalemate and economic backslide. The collapse of the Soviet Union in 1991 resulted from several factors: chronic economic
Dissolution of the Soviet Union
Dissolution_of_the_Soviet_Union
Ecological communities abruptly losing biodiversity, often irreversibly
for ecosystem collapse. The most frequently used model for predicting food web collapse is called R50, which is a reliable measurement model for food web
Ecosystem_collapse
Result in mathematics and set theory
set model of ZF is set-like and extensional. If the model is well-founded, then by the Mostowski collapse lemma it is isomorphic to a transitive model of
Mostowski_collapse_lemma
Phenomenon where things grow slowly but decline rapidly
The Seneca effect, or Seneca cliff or Seneca collapse, is a mathematical model proposed by Ugo Bardi to describe situations where a system's rate of decline
Seneca_effect
Astrophysical phenomenon
S2CID 42058638. Nagy, A. P.; Vinkó, J. (2016). "A two-component model for fitting light curves of core-collapse supernovae". Astronomy & Astrophysics. 589: A53. arXiv:1602
Supernova
Lower relative opportunity cost in producing a good
case the three types of equilibria around any good in the original model collapse to the same outcome. It notably allows for transportation costs to be
Comparative_advantage
Technique for the generative modeling of a continuous probability distribution
will all fall to the origin, collapsing the distribution. The 2020 paper proposed the Denoising Diffusion Probabilistic Model (DDPM), which improves upon
Diffusion_model
Exact solution to the Einstein field equations
Oppenheimer–Snyder model is a solution to the Einstein field equations based on the Schwarzschild metric describing the collapse of an object of extreme
Oppenheimer–Snyder_model
Quantum mechanical theory of spontaneous collapse
The continuous spontaneous localization (CSL) model is a spontaneous collapse model in quantum mechanics, proposed in 1989 by Philip Pearle. and finalized
Continuous spontaneous localization model
Continuous_spontaneous_localization_model
Concept in genealogy
In genealogy, pedigree collapse describes how reproduction between two individuals who share an ancestor causes the number of distinct ancestors in the
Pedigree_collapse
System of surface and deep currents in the Atlantic Ocean
is difficult or impossible for it to collapse. Researchers have raised concerns this modeled resistance to collapse only occurs because GCM simulations
Atlantic meridional overturning circulation
Atlantic_meridional_overturning_circulation
Alternative model for black holes
The magnetospheric eternally collapsing object (MECO) is an alternative model for black holes initially proposed by Indian scientist Abhas Mitra in 1998
Magnetospheric eternally collapsing object
Magnetospheric_eternally_collapsing_object
1995 building collapse in Seoul, South Korea
Hanja: 三豐百貨店) in Seocho District, Seoul, South Korea, collapsed due to a structural failure. The collapse killed 502 people and injured 937, making it the
Sampoong Department Store collapse
Sampoong_Department_Store_collapse
Loss of qualities between copies
digital images Lossless data compression Data degradation Data loss Model collapse Software rot I Am Sitting in a Room The Disintegration Loops Ship of
Generation_loss
Catastrophic government dissolution
proposed a dynamic model of the causes of state collapse. In their article in Global Change, Peace & Security, they argue that a state collapse happens when
State_collapse
Process in protein folding
that resist hydrophobic collapse may enhance drug affinity. Partial hydrophobic collapse is an experimentally accepted model for the folding kinetics
Hydrophobic_collapse
Objective collapse theory in quantum mechanics
(QMUPL) model, which proves important mathematical results on collapse theories; and the coloured QMUPL model, which is the only collapse model involving
Ghirardi–Rimini–Weber_theory
Video-generating LLM (2024–2026)
Sora was a text-to-video model and social media app developed by OpenAI. Using artificial intelligence, the model generated short video clips based on
Sora_(text-to-video_model)
Building collapse type
Progressive collapse is the process where a primary structural element fails, resulting in the failure of adjoining structural elements, which in turn
Progressive_collapse
Hypothetical vacuum, less stable than true vacuum
suffers gravitational collapse of the same sort as the end state of a contracting Friedmann universe. The time required for the collapse of the interior universe
False_vacuum
Compact astronomical body
of the universe may have allowed these areas to collapse, forming primordial black holes. Various models predict the creation of primordial black holes
Black_hole
1987 building collapse in Bridgeport, Connecticut
The L'Ambiance Plaza collapse was one of the worst disasters in modern Connecticut history. L'Ambiance Plaza was a 16-story residential project under construction
L'Ambiance_Plaza_collapse
1987 bridge collapse in Montgomery County, New York
Crossing. On April 5, 1987, it collapsed due to bridge scour at the foundations after a record rainfall. The collapse killed ten people. The replacement
Schoharie Creek Bridge collapse
Schoharie_Creek_Bridge_collapse
Hypothetical scenario for the ultimate fate of the universe
reversal would result in the universe collapsing on itself, not too dissimilar to a black hole. As the universe collapses in on itself, it would get filled
Big_Crunch
Bridge in Minneapolis, Minn., US
determine what was the cause of the collapse." The Federal Highway Administration (FHWA) built a computer model of the bridge at the Turner Fairbank
I-35W Mississippi River bridge
I-35W_Mississippi_River_bridge
Research field that lies at the intersection of machine learning and computer security
imitation. Data poisoning can also happen unintentionally through model collapse, where models are trained on synthetic data. As machine learning is scaled
Adversarial_machine_learning
Cosmological model in which the observable universe is the interior of a black hole
cosmology, is a cosmological model in which the observable universe is the interior of a black hole. During gravitational collapse of most massive stars and
Black_hole_cosmology
Economic model for asset prices
called the normal model equivalently (as opposed to log-normal model or Black–Scholes model). One early criticism of the Bachelier model is that the probability
Bachelier_model
1972 book on economic and population growth
interventions into the world model to demonstrate how their proposed interventions improved the system to prevent collapse. The SD model also aggregated the world’s
The_Limits_to_Growth
the collapse of the communist bloc orchestrated from above; but he didn't mention any possible collapse of the USSR itself. He claimed this collapse was
Predictions of the collapse of the Soviet Union
Predictions_of_the_collapse_of_the_Soviet_Union
Revolutionary wave overthrowing most communist states in Europe
Communism, were a wave of liberal democratic movements that resulted in the collapse of most Marxist–Leninist governments in the Eastern Bloc and other parts
Revolutions_of_1989
Algorithmically generated data that have a similar distribution as sampled data
insurance-call phase detection and compliance verification. Generative model Model collapse Surrogate data Reinforcement learning Rendering (computer graphics)
Synthetic_data
Potential natural disaster
landslide material itself to simulate waves generated by such a collapse. In this model, the landslide had a volume of 375 cubic kilometres (90 cu mi)
Cumbre_Vieja_tsunami_hazard
Failed suspension bridge in Washington, US
on July 1, 1940, and dramatically collapsed into Puget Sound on November 7 of the same year. The bridge's collapse has been described as "spectacular"
Tacoma_Narrows_Bridge_(1940)
Medical injury
Boutherin-Falson, O.; Finet, M. (1999-10-01). "Laminar flow through a model of collapsed veins. Morphometric response of endothelial vascular cells to a longitudinal
Collapsed_vein
Star that has undergone gravitational collapse
around the hole. The model for collapsars was originally developed to explain gamma-ray burst events accompanying supernovas, but the model now includes other
Collapsar
UK manufacturer of injection-moulded plastic scale model
injection-moulded plastic scale model kits. In the UK, the name 'Airfix' has become practically synonymous with plastic models of this type, "they became a
Airfix
Ability of a structure to support a designed structural load without breaking
system, a localized failure should not cause immediate or even progressive collapse of the entire structure. Structural integrity is the ability of a structure
Structural integrity and failure
Structural_integrity_and_failure
Book by Gordon G. Chang
The Coming Collapse of China is a book by Gordon G. Chang, published in 2001, in which he argued that the Chinese Communist Party (CCP) was the root cause
The_Coming_Collapse_of_China
Physical process transitioning a system from a symmetric state to a more ordered state
phenomenon where a disordered but symmetric state collapses into an ordered, but less symmetric state. This collapse is often one of many possible bifurcations
Symmetry_breaking
Cosmological models involving indefinite, self-sustaining cycles
A cyclic model (or oscillating model) is any of several cosmological models in which the universe follows infinite, or indefinite, self-sustaining cycles
Cyclic_model
Battery-electric full-size car
company collapsed tomorrow, the Model S would still be counted among the most influential cars ever built, right up there with the Ford Model T and the
Tesla_Model_S
Thinning and spreading of a thickened crust
In geology, orogenic collapse is the thinning and lateral spread of thickened crust. It is a broad term referring to processes which distribute material
Orogenic_collapse
Former office building in Manhattan, New York
its investigation, NIST utilized ANSYS to model events leading up to collapse initiation and LS-DYNA models to simulate the global response to the initiating
7 World Trade Center (1987–2001)
7_World_Trade_Center_(1987–2001)
End of Assadist rule in Syria
On 8 December 2024, the Assad regime in Syria collapsed during a major offensive by opposition forces. The offensive was spearheaded by Hay'at Tahrir
Fall_of_the_Assad_regime
2005 book by Jared Diamond
Collapse: How Societies Choose to Fail or Succeed (titled Collapse: How Societies Choose to Fail or Survive for the British edition) is a 2005 book by
Collapse: How Societies Choose to Fail or Succeed
Collapse:_How_Societies_Choose_to_Fail_or_Succeed
2021 railway accident in Tláhuac, Mexico
overpass in the borough of Tláhuac carrying Line 12 of the Mexico City Metro collapsed beneath a passing train. The overpass, along with the last two railcars
Mexico City Metro overpass collapse
Mexico_City_Metro_overpass_collapse
Atomic model introduced by Niels Bohr in 1913
In atomic physics, the Bohr model or Rutherford–Bohr model is an obsolete model of the atom that incorporated some early quantum concepts. Developed from
Bohr_model
High-mass black hole seeds
Direct collapse black holes (DCBHs) are high-mass black hole seeds (black holes that will later accrete to form supermassive black holes) that form from
Direct_collapse_black_hole
American anthropologist and historian (born 1949)
Tainter, who first identifies seventeen examples of rapid collapse of societies, applies his model to three case studies: The Western Roman Empire, the Maya
Joseph_Tainter
9/11 conspiracy theories
structural mechanics and structural engineering accept the model of a fire-induced, gravity-driven collapse of the World Trade Center buildings, an explanation
World Trade Center controlled demolition conspiracy theories
World_Trade_Center_controlled_demolition_conspiracy_theories
Building collapse in Dhaka, Bangladesh
The 2005 Dhaka garment factory collapse or Spectrum garment factory collapse was a structural failure that occurred on Monday, 11 April 2005 in the Savar
2005 Dhaka garment factory collapse
2005_Dhaka_garment_factory_collapse
Failure of two dams in Libya
The Derna dam collapses were the catastrophic failures of two dams in Derna, Libya, on the night of 10–11 September 2023, in the aftermath of Storm Daniel
Derna_dam_collapses
2001 terror attacks in the U.S.
Tower to collapse was just shy of 102 minutes either way. Excluding the hijackers The aircraft was a Boeing 767-200(Extended Range "ER") model; Boeing
September_11_attacks
2022 building collapse in Abadan, Iran
building, a ten-story residential and commercial building in Abadan, Iran, collapsed while under construction. As of 6 June 2022[update], at least 41 people
Abadan_building_collapse
Type of disaster that occurs due to overcrowding
Crowd collapses and crowd crushes are catastrophic incidents that occur when a body of people becomes dangerously overcrowded. When numbers are up to
Crowd_collapses_and_crushes
Country in Eurasia from 1922 to 1991
respondents said the USSR collapse did good, while 66% said it did harm. In Kyrgyzstan, 16% of respondents said the collapse of the USSR did good, while
Soviet_Union
2009 building collapse in Shanghai, China
The collapse of Block 7 at Lotus Riverside (simplified Chinese: 莲花河畔景苑; traditional Chinese: 蓮花河畔景苑; pinyin: lián huā hé pàn jǐng yuàn, a 13-story residential
Collapse of Lotus Riverside Block 7
Collapse_of_Lotus_Riverside_Block_7
Current calendar year
while in Yemen, a counteroffensive by the Yemeni government led to the collapse of the Southern Transitional Council. In February, Pakistan launched airstrikes
2026
1955 Japanese kaiju film
that ran beneath the platform. Due to heavy construction, the model failed to collapse even when the suit performers rammed into it as the crew members
Godzilla_Raids_Again
Supernova that ejects a large mass at unusually high velocity
stellar gravitational collapse, a stellar-mass black hole. The word is now sometimes used to refer to a specific model for the collapse of a fast-rotating
Hypernova
Study of matter-light interactions at small scales
Bohr model to Hydrogen, and numerous other reasons, lead to an entirely new mathematical model of matter and light: quantum mechanics. Early models to explain
Atomic, molecular, and optical physics
Atomic,_molecular,_and_optical_physics
Swedish-American streamer, actor, and model (born 2001)
mononymously as Marlon, is a Swedish internet personality, online streamer and model. He is known for his close friendship with members of content-gaming organization
Marlon_(streamer)
Intelligence of machines
research could model. Humans solve most of their problems using fast, intuitive judgments. Reasoning models, a type of large language model trained to generate
Artificial_intelligence
Explosion of a star 8 to 45 times the mass of the Sun
believed to collapse directly into a black hole without forming a supernova explosion, although uncertainties in models of supernova collapse make calculation
Type_II_supernova
Physical theory of the cosmos
an initial state of high density and temperature. Various cosmological models based on the Big Bang concept explain a broad range of phenomena, including
Big_Bang
Loss of political control in antiquity
to the collapse. Climatic changes and both endemic and epidemic diseases drove many of these immediate factors. The reasons for the collapse are major
Fall of the Western Roman Empire
Fall_of_the_Western_Roman_Empire
2006 building collapse in Bavaria, Germany
halted on 3 January due to fears that the walls of the ice rink could collapse, endangering firefighters, police and rescue workers. However it resumed
Bad_Reichenhall_Ice_Rink
Adage about statistical measures
in the United Kingdom: Any observed statistical regularity will tend to collapse once pressure is placed upon it for control purposes. Numerous concepts
Goodhart's_law
South African and American actress (born 1975)
antagonist of the entire franchise, and played a spy on the eve of the collapse of the Berlin Wall in 1989 in Atomic Blonde, an adaptation of the graphic
Charlize_Theron
2007 construction accident in Vietnam
The collapse of Cần Thơ Bridge was a severe construction accident in southern Vietnam in September 2007. A 90-metre (300 ft) section of an approach ramp
Collapse_of_Cần_Thơ_Bridge
2022 building collapse in Gwangju, South Korea
15:46 KST, the façade of a 39-story apartment building under construction collapsed in Gwangju, South Korea, killing six workers. HDC Hyundai Development
Gwangju Hwajeong I-Park exterior wall collapse
Gwangju_Hwajeong_I-Park_exterior_wall_collapse
2018 French disaster
5, 2018, two buildings in Marseille, numbers 63 and 65 Rue d'Aubagne, collapsed in the center of Marseille, killing eight people in the crowded neighborhood
2018 Marseille building collapse
2018_Marseille_building_collapse
Model in quantum optics
observing collapse and revival of Rabi cycles in the visible light frequencies. Many recent experiments have focused on the application of the model to systems
Jaynes–Cummings_model
American multinational technology company
more than 80% of the market for GPUs used in training and deploying AI models, and provided chips for over 75% of the world's TOP500 supercomputers. The
Nvidia
Statistical model for a binary dependent variable
In statistics, a logistic model (or logit model) is a statistical model that models the log-odds of an event as a linear combination of one or more independent
Logistic_regression
2018 bridge collapse in Colombia
2018, a partially constructed bridge in Chirajara, Guayabetal, Colombia collapsed, killing at least 10 workers and injuring several more. The 446-metre
Chirajara_bridge_collapse
Transitive model containing all ordinals
contains some model of ZFC by the Gödel completeness theorem. This model is necessarily not well-founded otherwise its Mostowski collapse would be a standard
Inner_model
Network that allows computers to share resources and communicate with each other
level of load. The stable state with low throughput is known as congestive collapse. Modern networks use congestion control, congestion avoidance and traffic
Computer_network
MODEL COLLAPSE
MODEL COLLAPSE
Boy/Male
Hindu
Model state of india
Boy/Male
Arabic, Muslim
Model; Example
Boy/Male
Arabic, Muslim
Sample; Model; Paragon
Boy/Male
Latin
Swarthy.
Female
Yiddish
(×”Ö¸×דֶעל) Pet form of Yiddish Hode, HODEL means "myrtle tree."
Male
Yiddish
Pet form of Yiddish Mordche, MOTEL means "devotee of Marduk."Â
Boy/Male
Anglo Saxon
Wealthy.
Boy/Male
Muslim
Model, Example
Surname or Lastname
English
English : from an Old German personal name, Godilo, Godila.German (Gödel) : from a pet form of a compound personal name beginning with the element gÅd ‘good’ or god, got ‘god’.Variant of Godl or Gödl, South German variants of Gote, from Middle High German got(t)e, gö(t)te ‘godfather’.Jewish (Ashkenazic) : from the Yiddish male personal name Godl, a pet form of God, a variant of biblical Gad.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Marathi
Enjoyment
Girl/Female
British, English, German, Russian
Supper
Girl/Female
Christian & English(British/American/Australian)
Model or Pattern
Boy/Male
Egyptian
To model.
Girl/Female
Arabic, Muslim
Example; Model; Demo
Girl/Female
Hebrew
From the tower.
Girl/Female
Hindu, Indian, Traditional
Model; Idea
Boy/Male
Muslim
Sample, Model, Paragon
Boy/Male
Australian, French
Famous Ruler
Boy/Male
Tamil
Ayilyam | அயீலà¯à®¯à®®
Model state of india
Ayilyam | அயீலà¯à®¯à®®
Surname or Lastname
English (Surrey)
English (Surrey) : unexplained. Compare Moad.
MODEL COLLAPSE
MODEL COLLAPSE
Biblical
hot waters
Girl/Female
Latin
Small.
Girl/Female
Hindu
The beautiful adolescent
Girl/Female
Indian
One having beautiful smile
Girl/Female
Native American
Valley of flowers.
Boy/Male
Hindu
To expand, To progress
Female
Yiddish
(זֶעלְדֶע) Yiddish form of German Salida, ZELDA means "happiness, joy." Compare with another form of Zelda.
Surname or Lastname
English
English : from Old English stÄn ‘stone’, in any of several uses. It is most commonly a topographic name, for someone who lived either on stony ground or by a notable outcrop of rock or a stone boundary-marker or monument, but it is also found as a metonymic occupational name for someone who worked in stone, a mason or stonecutter. There are various places in southern and western England named with this word, for example in Buckinghamshire, Gloucestershire, Hampshire, Kent, Somerset, Staffordshire, and Worcestershire, and the surname may also be a habitational name from any of these.Translation of various surnames in other languages, including Jewish Stein, Norwegian Steine, and compound names formed with this word.This name was brought independently to New England by many bearers from the 17th century onward. Thomas Scott was one of the founders of Hartford, CT, (coming from Cambridge, MA, with Thomas Hooker) in 1635.
Boy/Male
Tamil
Nil
Boy/Male
Hindu
Cot, A mountain
MODEL COLLAPSE
MODEL COLLAPSE
MODEL COLLAPSE
MODEL COLLAPSE
MODEL COLLAPSE
a.
Of or pertaining to a mode or mood; consisting in mode or form only; relating to form; having the form without the essence or reality.
v. t.
To model.
n.
That by which a thing is to be measured; standard.
v. i.
To make a copy or a pattern; to design or imitate forms; as, to model in wax.
p. pr. & vb. n.
of Model
n.
Anything which serves, or may serve, as an example for imitation; as, a government formed on the model of the American constitution; a model of eloquence, virtue, or behavior.
imp. & p. p.
of Model
n.
The scale as affected by the various positions in it of the minor intervals; as, the Dorian mode, the Ionic mode, etc., of ancient Greek music.
a.
Indicating, or pertaining to, some mode of conceiving existence, or of expressing thought.
n.
Manner of doing or being; method; form; fashion; custom; way; style; as, the mode of speaking; the mode of dressing.
n.
Something intended to serve, or that may serve, as a pattern of something to be made; a material representation or embodiment of an ideal; sometimes, a drawing; a plan; as, the clay model of a sculpture; the inventor's model of a machine.
n.
Prevailing popular custom; fashion, especially in the phrase the mode.
n.
A person who poses as a pattern to an artist.
n.
Any copy, or resemblance, more or less exact.
a.
Suitable to be taken as a model or pattern; as, a model house; a model husband.
v. t.
To plan or form after a pattern; to form in model; to form a model or pattern for; to shape; to mold; to fashion; as, to model a house or a government; to model an edifice according to the plan delineated.