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Bayesian probability

Bayesian probability, also known as Bayesian probability theory or personal probability, is an interpretation of probability as a degree of belief, updated in light of new evidence by Bayes' theorem.

Bayesian programming

Bayesian programming is a statistical modeling approach in which a programmer writes a model as a program containing random variables, and a general-purpose inference engine updates it from data.

Bayesian reaction optimization

Bayesian optimization for reaction screening applies Bayesian optimization, a model-based method for expensive black-box functions, to finding high-performing chemical reaction conditions, catalysts, and additives in few experiments.

Bayesian regression

Bayesian regression fits a regression model by combining a prior on its parameters with the data's likelihood, yielding a full posterior distribution rather than a point estimate.

Bayesian reinforcement learning

Bayesian reinforcement learning (BRL) is a family of reinforcement learning methods that treat uncertainty about an environment's dynamics and rewards as probability distributions, updated by Bayes rule as data arrive.

Bayesian reliability and safety analysis software

Bayesian reliability and safety analysis software is a family of tools that estimate failure rates and system risk from limited data, including SCRAM, XFTA, RADYBAN, BAHAMAS, and SAFEST.

Bayesian sampling

Bayesian sampling is a class of statistical methods that draws random samples from a posterior distribution, replacing intractable integrals with sample averages, most often via Markov chain Monte Carlo.

Bayesian search theory

Bayesian search theory is the branch of operations research that plans searches for lost objects, updating a probability map of possible locations after each unsuccessful search.

Bayesian software for epidemiological modeling

Bayesian software for epidemiological modeling is the family of packages that fit epidemic and disease-transmission models to data using Bayesian inference, estimating transmission rates, reproduction numbers, and delay distributions with uncertainty quantified through posterior distributions.

Bayesian statistics

Bayesian statistics is an approach to data analysis in which prior knowledge about a model's parameters is combined with observed data via Bayes' theorem, yielding a posterior distribution for inference.

Bayesian underwater search

Bayesian underwater search applies Bayesian statistics to locating objects lost at sea, such as shipwrecks and crashed aircraft, and famously found the USS Scorpion and Air France Flight 447.

Bayesianism

Bayesianism is a family of positions in statistics and epistemology holding that probability measures rational degrees of belief, revised by conditionalizing on evidence through Bayes' theorem.

Bayeux Tapestry

The Bayeux Tapestry (Tapisserie de Bayeux) is an 11th-century embroidered hanging, about 68 m long, depicting the 1066 Norman conquest of England; kept in Bayeux, France, and loaned to the British Museum in 2026–2027.

Bayezid I

Bayezid I (Yıldırım, the Thunderbolt), fourth Ottoman sultan (r. 1389–1403), built the first centralized Ottoman state from the Danube to the Euphrates, crushed the crusaders at Nicopolis (1396), and was captured by Timur at Ankara (1402).

Bayezid I's Balkan campaigns

Bayezid I's Balkan campaigns were the Ottoman military operations between 1389 and 1402 by which Sultan Bayezid I conquered Bulgaria, defeated the crusade at Nicopolis in 1396, and blockaded Constantinople.

Bayezid II

Bayezid II (Bâyezîd-i Velî, 1447/1448–1512), eighth Ottoman sultan (r. 1481–1512), son of Mehmed II; consolidated finances, admitted Sephardic Jews of 1492, fought Venice, abdicated to Selim I.

Bayezid Pasha

Bayezid Pasha (بایزید پاشا) was an Ottoman statesman who served as grand vizier to Mehmed I, suppressed the revolt of Shaykh Bedreddin, and was killed in 1421.

Bayga

Bayga (бәйге, baige) is the traditional long-distance horse race of the Kazakhs and other Turkic peoples, with types such as alaman, kunan, and top baige; modern Kazakh championship distances run 9 to 25 km under the Baige Federation.

Bayh–Dole Act

The Bayh–Dole Act (Public Law 96-517, 35 U.S.C. 200–212, also the University and Small Business Patent Procedures Act of 1980) lets universities, small businesses, and nonprofits elect title to federally funded inventions, subject to utilization reporting, domestic-manufacture preferences, and government march-in rights.

Bayilvan Ranganathan

Bayilvan Ranganathan (பயில்வான் ரங்கநாதன்) is an Indian actor, comedian, and film journalist known for comedy and supporting roles in Tamil cinema, debuting in Mundhanai Mudichu in 1983.

Bayinguoleng Menggu Zizhizhou

Bayinguoleng Menggu Zizhizhou (巴音郭楞蒙古自治州), Bayingolin Mongol Autonomous Prefecture, is Xinjiang's largest prefecture-level division, seat Korla, 471,140 km², 1.51 million people (2020), Han 53.3%, Uyghur 36.4%.

Bayinnaung

Bayinnaung (ဘုရင့်နောင်) was king of Burma's Toungoo dynasty from 1551 to 1581, the ruler who reunited the country and built an empire never matched again.

Bayındır Tumulus

The Bayındır Tumulus is an Iron Age burial mound near Elmalı in Antalya Province, Turkey, where nearly 30 tumuli yielded rich 8th to 6th century BC burials.

Bayjī

Bayjī (Baiji, Beiji) is a city in Salah al-Din Governorate, Iraq, between Mosul and Tikrit, home to Iraq's largest oil refinery, seized by ISIL in 2014, retaken in 2015, and reopened in 2024.

Baykar Bayraktar TB2

The Bayraktar TB2 is a Turkish medium-altitude armed reconnaissance drone made by Baykar, in Turkish service since 2014 and known for combat use in Libya, Nagorno-Karabakh, and Ukraine.

Baykonur Cosmodrome Site 110

Baykonur Cosmodrome Site 110 is a two-pad launch complex at Baikonur, Kazakhstan, built in the 1960s for the N1 Moon rocket and later refurbished for Energia-Buran.

Baylee Littrell

Baylee Littrell (born 2002, Atlanta) is an American singer-songwriter, son of Backstreet Boy Brian Littrell; debut country album 770-Country (2019), American Idol season 23 contestant, now pop artist with "So Be It" (2026).

Baylen Out Loud

Baylen Out Loud is a TLC reality series (premiered January 13, 2025) following TikToker Baylen Dupree and her West Virginia family as she lives with severe tics attributed to Tourette syndrome; clinicians have contested the diagnosis as likely functional tic-like behaviors.

Bayley (wrestler)

Bayley (Pamela Rose Martínez), American WWE wrestler from San Jose; first WWE women's Grand Slam Champion, 2024 Royal Rumble winner, Damage CTRL founder, and 380-day SmackDown Women's Champion.

Bayley Scales of Infant Development

The Bayley Scales of Infant Development are norm-referenced tests measuring cognitive, language, motor, and social-emotional abilities in children aged 1 to 42 months, used to identify developmental delay.