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2.160 Identification, Estimation, and Learning (MIT) 2.160 Identification, Estimation, and Learning (MIT)

Description

This course provides a broad theoretical basis for system identification, estimation, and learning. Students will study least squares estimation and its convergence properties, Kalman filters, noise dynamics and system representation, function approximation theory, neural nets, radial basis functions, wavelets, Volterra expansions, informative data sets, persistent excitation, asymptotic variance, central limit theorems, model structure selection, system order estimate, maximum likelihood, unbiased estimates, Cramer-Rao lower bound, Kullback-Leibler information distance, Akaike's information criterion, experiment design, and model validation. This course provides a broad theoretical basis for system identification, estimation, and learning. Students will study least squares estimation and its convergence properties, Kalman filters, noise dynamics and system representation, function approximation theory, neural nets, radial basis functions, wavelets, Volterra expansions, informative data sets, persistent excitation, asymptotic variance, central limit theorems, model structure selection, system order estimate, maximum likelihood, unbiased estimates, Cramer-Rao lower bound, Kullback-Leibler information distance, Akaike's information criterion, experiment design, and model validation.

Subjects

system identification; estimation; least squares estimation; Kalman filter; noise dynamics; system representation; function approximation theory; neural nets; radial basis functions; wavelets; volterra expansions; informative data sets; persistent excitation; asymptotic variance; central limit theorem; model structure selection; system order estimate; maximum likelihood; unbiased estimates; Cramer-Rao lower bound; Kullback-Leibler information distance; Akaike?s information criterion; experiment design; model validation. | system identification; estimation; least squares estimation; Kalman filter; noise dynamics; system representation; function approximation theory; neural nets; radial basis functions; wavelets; volterra expansions; informative data sets; persistent excitation; asymptotic variance; central limit theorem; model structure selection; system order estimate; maximum likelihood; unbiased estimates; Cramer-Rao lower bound; Kullback-Leibler information distance; Akaike?s information criterion; experiment design; model validation. | system identification | system identification | estimation | estimation | least squares estimation | least squares estimation | Kalman filter | Kalman filter | noise dynamics | noise dynamics | system representation | system representation | function approximation theory | function approximation theory | neural nets | neural nets | radial basis functions | radial basis functions | wavelets | wavelets | volterra expansions | volterra expansions | informative data sets | informative data sets | persistent excitation | persistent excitation | asymptotic variance | asymptotic variance | central limit theorem | central limit theorem | model structure selection | model structure selection | system order estimate | system order estimate | maximum likelihood | maximum likelihood | unbiased estimates | unbiased estimates | Cramer-Rao lower bound | Cramer-Rao lower bound | Kullback-Leibler information distance | Kullback-Leibler information distance | Akaike?s information criterion | Akaike?s information criterion | experiment design | experiment design | model validation | model validation

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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2.160 Identification, Estimation, and Learning (MIT)

Description

This course provides a broad theoretical basis for system identification, estimation, and learning. Students will study least squares estimation and its convergence properties, Kalman filters, noise dynamics and system representation, function approximation theory, neural nets, radial basis functions, wavelets, Volterra expansions, informative data sets, persistent excitation, asymptotic variance, central limit theorems, model structure selection, system order estimate, maximum likelihood, unbiased estimates, Cramer-Rao lower bound, Kullback-Leibler information distance, Akaike's information criterion, experiment design, and model validation.

Subjects

system identification; estimation; least squares estimation; Kalman filter; noise dynamics; system representation; function approximation theory; neural nets; radial basis functions; wavelets; volterra expansions; informative data sets; persistent excitation; asymptotic variance; central limit theorem; model structure selection; system order estimate; maximum likelihood; unbiased estimates; Cramer-Rao lower bound; Kullback-Leibler information distance; Akaike?s information criterion; experiment design; model validation. | system identification | estimation | least squares estimation | Kalman filter | noise dynamics | system representation | function approximation theory | neural nets | radial basis functions | wavelets | volterra expansions | informative data sets | persistent excitation | asymptotic variance | central limit theorem | model structure selection | system order estimate | maximum likelihood | unbiased estimates | Cramer-Rao lower bound | Kullback-Leibler information distance | Akaike?s information criterion | experiment design | model validation

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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Launch party of the bulk carrier 'Gloxinia' Launch party of the bulk carrier 'Gloxinia'

Description

Subjects

flowers | flowers | roof | roof | chimney | chimney | sky | sky | abstract | abstract | building | building | cute | cute | men | men | clock | clock | industry | industry | window | window | glass | glass | lamp | lamp | hat | hat | wall | wall | standing | standing | children | children | shoe | shoe | daylight | daylight | wire | wire | workers | workers | construction | construction | women | women | industrial | industrial | ship | ship | crane | crane | group | group | pipe | pipe | hats | hats | ground | ground | vessel | vessel | structure | structure | pole | pole | lamppost | lamppost | maritime | maritime | 1950s | 1950s | gathering | gathering | unusual | unusual | shipyard | shipyard | director | director | northeast | northeast | southshields | southshields | development | development | partnership | partnership | launchparty | launchparty | informative | informative | digitalimage | digitalimage | 1865 | 1865 | bulkcarrier | bulkcarrier | shipbuilding | shipbuilding | shiplaunch | shiplaunch | gloxinia | gloxinia | socialhistory | socialhistory | readheads | readheads | blackandwhitephotograph | blackandwhitephotograph | lawe | lawe | shipyardworkers | shipyardworkers | stagline | stagline | sirjamesknott | sirjamesknott | johnreadhead | johnreadhead | stricklineltd | stricklineltd | princeline | princeline | britishshipbuilders | britishshipbuilders | hainsteamshipcompanyltd | hainsteamshipcompanyltd | johnreadheadsonsltd | johnreadheadsonsltd | johnreadheadsons | johnreadheadsons | highwestyard | highwestyard | 20february1958 | 20february1958 | 18651968 | 18651968 | nicholasjrobinson | nicholasjrobinson | johnreadheadsonssouthshields | johnreadheadsonssouthshields | jsoftley | jsoftley | swanhuntergroup | swanhuntergroup | dorothyannerobinson | dorothyannerobinson | shipyardmanager | shipyardmanager

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telescope on display for the Festival of Britain telescope on display for the Festival of Britain

Description

Subjects

astronomy | astronomy | space | space | telescope | telescope | observatory | observatory | planets | planets | stars | stars | grubbparsons | grubbparsons | mountstromlo | mountstromlo | canberra | canberra | festivalofbritain | festivalofbritain | newcastleupontyne | newcastleupontyne | science | science | industry | industry | blackandwhitephotograph | blackandwhitephotograph | archives | archives | digitalimage | digitalimage | 74 | 74 | reflector | reflector | display | display | 1951 | 1951 | mountstromloobservatory | mountstromloobservatory | canberrraaustralia | canberrraaustralia | grubbparsonsltdcollection | grubbparsonsltdcollection | industrialheritage | industrialheritage | thomasgrubb | thomasgrubb | sircharlesparsons | sircharlesparsons | telescopic | telescopic | astronomicalinstrument | astronomicalinstrument | walkergate | walkergate | research | research | suppliers | suppliers | futuristic | futuristic | surreal | surreal | interesting | interesting | unusual | unusual | fascinating | fascinating | impressive | impressive | east | east | england | england | unitedkingdom | unitedkingdom | rail | rail | people | people | observing | observing | floor | floor | wall | wall | structure | structure | beam | beam | ceiling | ceiling | dome | dome | noticeboard | noticeboard | signage | signage | shapes | shapes | parts | parts | glare | glare | artificiallight | artificiallight | grain | grain | mark | mark | screen | screen | focalpoint | focalpoint | northeast | northeast | informative | informative | technology | technology | advances | advances | development | development | construction | construction | frame | frame

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The crew's messroom on 'Nicola'

Description

View of crew?s messroom on ?Nicola? the first SD14 to be built by Austin & Pickersgill at the Southwick shipyard, Sunderland (TWAM ref. DT.TUR/4/3732R). This set celebrates the ?Nicola?, the first in a long line of standard ships designed by the Sunderland shipyard of Austin & Pickersgill Ltd. The images document her construction from October 1967 through to her completion in February 1968. The shipbuilders commissioned the Newcastle-based firm Turners (Photography) Ltd to take weekly progress shots of the ?Nicola? and these images have given us a unique view of her development. She was the first SD14 to be completed (the name stands for ?Shelter Deck 14,000 tons deadweight?) and was designed as a replacement for the surviving ?Liberty ships?, built by American yards during the Second World War. Those Liberty ships had played a vital role in the Allied victory but by the 1960s they were fast approaching the end of their working lives. The SD14 developed by Austin & Pickersgill met the demand for economic and reliable cargo ships. The simplicity of the design meant that it could be marketed by the shipbuilders at a very competitive price. It?s success is reflected by the fact that over the course of 20 years 211 ships were built to the SD14 design by Austin Pickersgill and its licensees. Sunderland can be very proud of its remarkable shipbuilding and engineering history and the SD14 is one the City?s finest achievements. (Copyright) We're happy for you to share these digital images within the spirit of The Commons. Please cite 'Tyne & Wear Archives & Museums' when reusing. Certain restrictions on high quality reproductions and commercial use of the original physical version apply though; if you're unsure please email archives@twmuseums.org.uk

Subjects

nicola | industry | austinpickersgillltd | sunderland | shipbuilding | sd14 | southwick | shipyard | riverwear | messroom | colourphotograph | digitalimage | maritime | industrial | social | abstract | nicolathefirstsd14 | shipinterior | cabin | crewsmessroom | standardship | ship | vessel | sunderlandshipyard | austinpickersgill | construction | october1967 | completion | february1968 | commission | newcastlebased | turnersphotographyltd | progressshots | development | structure | shelterdeck14000tonsdeadweight? | replacement | libertyships | cargoship | engineering | curtain | windo | glass | fascinating | informative | unusual | interesting | table | chair | cupboard | handle | timber | metal | armrest | seat | fabric | crease | wall | light | ceiling | pipe | paint | floor | cylinder | hotwatertank | shadow | board | door | porthole | tile | square | shine

License

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74" telescope on display for the Festival of Britain

Description

This photograph shows a 74" reflector built by Grubb Parsons in Newcastle upon Tyne on display for the Festival of Britain, 1951 (TWAM ref. DS.GP). The telescope was manufactured for the Mount Stromlo Observatory near Canberra, Australia. This photograph is taken from the Grubb Parsons Ltd collection at Tyne & Wear Archives. The records of Grubb Parsons Ltd, Newcastle upon Tyne, England, consist of 65 linear metres (213 linear feet) of files, plans, photographs and glass plate negatives relating to this internationally renowned firm's manufacture of precision telescopic instruments. The original Business was founded in the early nineteenth century by Thomas Grubb, in 1925 the company was acquired by Sir Charles Parsons and continued to manufacture Telescopic and Astronomical instruments until 1985. This image is taken from a large collection that documents the work of Grubb Parsons Ltd at their workshop in Walkergate, Newcastle upon Tyne. It was here that Grubb Parsons Ltd manufactured Telescopic and Astronomical equipment for companies and observatories world wide. Their equipment was designed and built for use and research across the Globe, to name only a few of these locations Grubb Parsons Ltd supplied to the UK, Switzerland, Denmark, Egypt, South Africa, Greece, Australia, Japan, India, Hawaii, Poland, Chile, Canada, France and Spain. (Copyright) We're happy for you to share these digital images within the spirit of The Commons. Please cite 'Tyne & Wear Archives & Museums' when reusing. Certain restrictions on high quality reproductions and commercial use of the original physical version apply though; if you're unsure please email archives@twmuseums.org.uk

Subjects

astronomy | space | telescope | observatory | planets | stars | grubbparsons | mountstromlo | canberra | festivalofbritain | newcastleupontyne | science | industry | blackandwhitephotograph | archives | digitalimage | 74 | reflector | display | 1951 | mountstromloobservatory | canberrraaustralia | grubbparsonsltdcollection | industrialheritage | thomasgrubb | sircharlesparsons | telescopic | astronomicalinstrument | walkergate | research | suppliers | futuristic | surreal | interesting | unusual | fascinating | impressive | east | england | unitedkingdom | rail | people | observing | floor | wall | structure | beam | ceiling | dome | noticeboard | signage | shapes | parts | glare | artificiallight | grain | mark | screen | focalpoint | northeast | informative | technology | advances | development | construction | frame

License

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Launch party of the bulk carrier 'Gloxinia'

Description

Launch party of the bulk carrier ?Gloxinia?, 20 February 1958 (TWAM ref. DS.RDD/4/21/3). She was launched at the shipyard of John Readhead & Sons, South Shields by Dorothy Anne Robinson (holding the flowers), daughter of Nicholas J. Robinson, a director of the Stag Line. In the background you can also see a group of shipyard workers. This set celebrates the achievements of the shipyard of John Readhead & Sons. The firm has played a significant role in the North East?s illustrious shipbuilding history and the development of South Shields. The company began in 1865 when John Readhead, a shipyard manager, entered into business with J Softley at a small yard on the Lawe at South Shields. Following the dissolution of the partnership in 1872, it continued as John Readhead & Co on the same site until 1880 when the High West Yard was purchased. After Readhead?s four sons were taken into the business in 1888 the company traded as John Readhead & Sons becoming a limited company in 1908. In 1968 the company was absorbed by the Swan Hunter Group and in 1977 became part of the nationalised British Shipbuilders. In the same year the last vessel was launched and the site was sold off in 1984. Readheads was prolific and built over 600 ships from 1865 to 1968, including 87 vessels for the Hain Steamship Company Ltd and over forty for the Strick Line Ltd. The shipyard also built four ships for the Prince Line, founded by Sir James Knott. The firm built vessels, which were involved in the major conflicts of the Twentieth Century. During the First World War they built patrol vessels and ?x? lighters (motor landing craft used in the Gallipoli campaign) for the Admiralty. During the Second World War the firm built tankers for the Normandy Landings. (Copyright) We're happy for you to share this digital image within the spirit of The Commons. Please cite 'Tyne & Wear Archives & Museums' when reusing. Certain restrictions on high quality reproductions and commercial use of the original physical version apply though; if you're unsure please email archives@twmuseums.org.uk.

Subjects

southshields | shipbuilding | johnreadheadsonsltd | shipyard | bulkcarrier | children | shiplaunch | gloxinia | stagline | shipyardworkers | 1950s | cute | hats | abstract | socialhistory | maritime | industrial | industry | johnreadheadsonssouthshields | digitalimage | blackandwhitephotograph | gathering | launchparty | vessel | ship | 20february1958 | johnreadheadsons | dorothyannerobinson | flowers | nicholasjrobinson | director | workers | group | northeast | development | construction | johnreadhead | shipyardmanager | 1865 | jsoftley | partnership | lawe | highwestyard | swanhuntergroup | britishshipbuilders | informative | unusual | readheads | 18651968 | hainsteamshipcompanyltd | stricklineltd | princeline | sirjamesknott | standing | hat | crane | wire | pole | structure | sky | clock | lamppost | lamp | building | wall | pipe | roof | window | glass | chimney | daylight | women | men | ground | shoe

License

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