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Concept in information theory
In information theory, the Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision
Rényi_entropy
Hungarian mathematician (1921–1970)
Alfréd Rényi (20 March 1921 – 1 February 1970) was a Hungarian mathematician known for his work in probability theory, though he also made contributions
Alfréd_Rényi
Topics referred to by the same term
Renyi or Rényi may refer to: Alfréd Rényi (1921–1970), Hungarian mathematician Katalin Rényi (1951–2023), Hungarian painter and graphic designer Tibor
Renyi
Two closely related models for generating random graphs
In the mathematical field of graph theory, the Erdős–Rényi models are two closely related models for generating random graphs and the evolution of a random
Erdős–Rényi_model
Rényi Prize is awarded biennially by the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Science in honor of founder Alfréd Rényi.
Alfréd_Rényi_Prize
Hungarian painter
Tibor Rényi (born 1973) is a contemporary Hungarian painter. He was born in Budapest, Hungary. The main themes of his art are colorful, dream-like creatures
Tibor_Rényi
The Erdős–Rényi Prize of the Network Science Society is named after Paul Erdős and Alfréd Rényi. This international prize is awarded annually in a special
Erdős–Rényi_Prize
Mathematical guessing game
Ulam's game, or the Rényi–Ulam game, is a mathematical game similar to the popular game of twenty questions. In Ulam's game, a player attempts to guess
Ulam's_game
Mexican chemist (1943–2020)
Sciences of the United States of America Journal in collaboration with Renyi Zhang, Yixin Li, Annie L. Zhang and Yuan Wang. Molina joined the lab of
Mario_Molina
American geoscientist
Renyi Zhang is an American geoscientist, currently a university distinguished professor and Harold G. Haynes Chair at Texas A&M University and an elected
Renyi_Zhang
connected one (the node with the highest degree) the diameter of the Erdős-Rényi model reacts similarly to a random deletion of nodes. This is because the
Node_deletion
Large connected component of a random graph
according to the Erdős–Rényi model, a giant component exists with high probability. Giant components are a prominent feature of the Erdős–Rényi model (ER) of random
Giant_component
Chinese prince (1586–1641)
Renyi Gong (貞純肅哲聖敬仁毅恭皇帝) Emperor Zhenchun Suzhe Shengjing Renyi Xiao (貞純肅哲聖敬仁懿孝皇帝) Emperor Mutian Fudao Zhenchun Suzhe Xiuwen Xianwu Shengjing Renyi Xiao
Zhu_Changxun
Tom Renyi (born 1947) is the former chairman and chief executive officer (CEO) of the Bank of New York Company, a position he held since 1997. He is also
Tom_Renyi
The Alfréd Rényi Institute of Mathematics (Hungarian: Rényi Alfréd Matematikai Kutatóintézet) is the research institute in mathematics of the Hungarian
Alfréd Rényi Institute of Mathematics
Alfréd_Rényi_Institute_of_Mathematics
How many different types are in a dataset
proportional abundance of each class under a weighted geometric mean. The Rényi entropy, which adds the ability to freely vary the kind of weighted mean
Diversity_index
Hungarian artist (1951–2023)
Katalin Rényi ([ˈreːɲi ˈkɒtɒlin]; 19 May 1951 – 29 August 2023) was a Hungarian painter and graphic designer. Rényi was born in Budapest on 19 May 1951
Katalin_Rényi
Concept in quantum physics
entanglement The Rényi entanglement entropies S α {\displaystyle {\mathcal {S}}_{\alpha }} are defined in terms of the reduced density matrices and a Rényi index
Entropy_of_entanglement
Function that measures dissimilarity between two probability distributions
These divergences were introduced by Alfréd Rényi in the same paper where he introduced the well-known Rényi entropy. He proved that these divergences decrease
F-divergence
Hungarian mathematical physicist and quantum information theorist (1953–2018)
quantum information geometry. He proposed the first quantum generalization of Rényi relative entropy and established its data processing inequality. He has
Dénes_Petz
Hungarian mathematician
subgroups of classical groups". After temporary positions at the Alfréd Rényi Institute of Mathematics, Microsoft Research, and the Institute for Advanced
Balázs_Szegedy
Network that allows computers to share resources and communicate with each other
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Computer_network
Graph generated by a random process
mathematical context, random graph refers almost exclusively to the Erdős–Rényi random graph model. In other contexts, any graph model may be referred to
Random_graph
Hungarian-American mathematician
position since 1986. He also holds a professor emeritus status at the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences. Szemerédi
Endre_Szemerédi
Type of random mathematical object
The case for Poisson process is sometimes known as Rényi’s theorem, which is named after Alfréd Rényi who discovered the result for the case of a homogeneous
Poisson_point_process
Mathematical theory on behavior of connected clusters in a random graph
PMID 11056635. S2CID 747665. Erdős, P. & Rényi, A. (1959). "On random graphs I.". Publ. Math. (6): 290–297. Erdős, P. & Rényi, A. (1960). "The evolution of random
Percolation_theory
Hungarian film director
Tamás Rényi (29 May 1929 – 28 July 1980) was a Hungarian film director. He directed 30 films between 1953 and 1980. His 1963 film Tales of a Long Journey
Tamás_Rényi
Graph of numbers differing by a square
Sachs (1962) and Erdős & Rényi (1963). Sachs was interested in them for their self-complementarity properties, while Erdős and Rényi studied their symmetries
Paley_graph
American Founding Father (died 1804)
Hamilton Aaron Burr Thomas Mellon Notable executives Former Gerald Hassell Tom Renyi Subsidiaries BNY Investments Dreyfus Insight Investment Newton Walter Scott
Alexander_Hamilton
Hungarian mathematician
the Alfréd Rényi Institute of Mathematics. Pálfy graduated from Eötvös University, Budapest in 1978 and started working at the Alfréd Rényi Institute of
Péter_Pál_Pálfy
Type of entropy in quantum theory
the broader family of classical Rényi entropies, so too can the von Neumann entropy be generalized to the quantum Rényi entropies: S α ( ρ ) = 1 1 − α
Von_Neumann_entropy
Academic field
science developed as an offshoot of graph theory with Paul Erdős and Alfréd Rényi's eight famous papers on random graphs. For social networks the exponential
Network_science
Hungarian mathematician (born 1965)
1993) and Introduction to Computer Science (Typotex, Budapest, 2002). Rényi Kató Memorial Prize of the János Bolyai Mathematical Society (1991) Officer's
Gyula_Y._Katona
Scale-free network generation algorithm
scale-free) degree distributions, while random graph models such as the Erdős–Rényi (ER) model and the Watts–Strogatz (WS) model do not exhibit power laws.
Barabási–Albert_model
Formation of a gel from a mass of polymers
units. Gelation of polymers can be described in the framework of the Erdős–Rényi model or the Lushnikov model, which answers the question when a giant component
Gelation
Information held in the state of a quantum system
samples of an experiment is large. The Rényi entropy is a generalization of Shannon entropy defined above. The Rényi entropy of order r, written as a function
Quantum_information
Hungarian mathematician
Rényi Prize of the Hungarian Academy of Sciences in 1975, and the same academy awarded him the Prize of the Academy in 1989. In 2011 the Alfréd Rényi
Gyula_O._H._Katona
Approximate nearest neighbor search algorithm
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Hierarchical navigable small world
Hierarchical_navigable_small_world
Social structure made up of a set of social actors
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Social_network
Graph where most nodes are reachable in a small number of steps
shortest path length). Purely random graphs, built according to the Erdős–Rényi (ER) model, exhibit a small average shortest path length (varying typically
Small-world_network
Scottish investment manager
Hamilton Aaron Burr Thomas Mellon Notable executives Former Gerald Hassell Tom Renyi Subsidiaries BNY Investments Dreyfus Insight Investment Newton Walter Scott
Walter Scott (investment manager)
Walter_Scott_(investment_manager)
— August 31, 2005 Kitt Peak Spacewatch · 830 m MPC · JPL 227218 Rényi 2005 RU3 Rényi September 5, 2005 Piszkéstető K. Sárneczky MAS 900 m MPC · JPL 227219
List of minor planets: 227001–228000
List_of_minor_planets:_227001–228000
Hungarian statistician and mathematician
Loránd University, Hungary graduating in 1970. His first advisor was Alfréd Rényi. Székely received his Ph.D. in 1971 from Eötvös Loránd University, the Candidate
Gábor_J._Székely
Former investment firm located in the US
announced its plans to merge with Bank of New York. Talks began when Tom Renyi approached Robert Kelly about a possible amalgamation between the Bank of
Mellon_Financial
Standard hostname for a networked device's loopback interface
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Localhost
Concept in information theory
one is able to establish a lower bound on the sum of the (differential) Rényi entropies, Hα(|f|2)+Hβ(|g|2) , where 1/α + 1/β = 2, which generalize the
Entropic_uncertainty
Degrees of separation from Paul Erdős
András Hajnal 56 Ralph Faudree 50 Richard Schelp 42 Cecil C. Rousseau 35 Vera T. Sós 35 Alfréd Rényi 32 Pál Turán 30 Endre Szemerédi 29 Ronald Graham 28
Erdős_number
Hungarian mathematician (1941–2019)
career were her attendance at the combinatorics seminar organised by Alfréd Rényi from 1966, meeting Roland Dobrushin in Debrecen in 1967 (which led to her
Katalin_Marton
well as with the Rényi entropies of all orders) in the case of a uniform probability distribution. It is a special case of the Rényi entropy since: H
Hartley_function
Singaporean businessman
who traded comics then". Yahoo! News. Yahoo! Singapore. Mon, K.S.; Lim, Renyi (3 May 2017). "Wheels In Motion". The Peak. Ruehl, Mercedes; Palma, Stefania
Anthony_Tan
Theorem in probability theory
The assumption of independence in the second lemma can be relaxed. The Renyi–Lamperti lemma states that if the events ( A n ) {\displaystyle (A_{n})}
Borel–Cantelli_lemma
Metric on networks
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Rich-club_coefficient
Method of generating random small-world graphs
to the work of Paul Erdős and Alfréd Rényi. The graphs they considered, now known as the classical or Erdős–Rényi (ER) graphs, offer a simple and powerful
Watts–Strogatz_model
Swedish mathematical statistician (born 1945)
thesis On sequences of random variables which are mixing in the sense of Renyi. He has earlier been professor at Lund University and lecturer at University
Holger_Rootzén
American mathematician (1923–2013)
Gilbert–Elliott model of bursty errors in signal transmission, the Erdős–Rényi–Gilbert model for random graphs, the Gilbert disk model of random geometric
Edgar_Gilbert
Hungarian mathematician (1913–1996)
(42 papers) Cecil C. Rousseau (35 papers) Vera T. Sós (35 papers) Alfréd Rényi (32 papers) Pál Turán (30 papers) Endre Szemerédi (29 papers) Ron Graham
Paul_Erdős
American mathematician
and Heather Harrington.[citation needed] In 2014, he received an Erdős–Rényi Prize, recognizing his work on the mathematics of networks and his outreach
Mason_Porter
profile". Aspen Institute Central Europe. Retrieved 2025-12-17. Dániel, Rényi Pál (2019-08-28). "Kimenekültek a munkatársak Schmidt Mária alól, új kormánypárti
Opinion polling for the 2030 Hungarian parliamentary election
Opinion_polling_for_the_2030_Hungarian_parliamentary_election
Even integers as sums of two primes
than X1⁄2 + c for small c. In 1948, using sieve theory methods, Alfréd Rényi showed that every sufficiently large even number can be written as the sum
Goldbach's_conjecture
1638 book by Galileo Galilei
was pure mathematics, as has been pointed out by the mathematician Alfréd Rényi, who said that it was the most significant book on mathematics in over 2000
Two_New_Sciences
Process of "purifying" entangled quantum states
entanglement, quantum thermodynamics, and the coherence of quantum systems. Rényi entropy is a generalization of the various concepts of entropy, depending
Entanglement_distillation
Hungarian mathematician (1930–2023)
She was a student and close collaborator of both Paul Erdős and Alfréd Rényi. She also collaborated frequently with her husband Pál Turán, an analyst
Vera_T._Sós
Clustering and community detection algorithm
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Leiden_algorithm
maximum-entropy distribution is determined. We exemplify this with the Erdős–Rényi model G ( n , m ) {\displaystyle G(n,m)} . The sharp constraint in G ( n
Maximum-entropy random graph model
Maximum-entropy_random_graph_model
Family of random graph models
networks from a given degree sequence. Unlike simpler models such as the Erdős–Rényi model, Configuration Models preserve the degree of each vertex as a pre-defined
Configuration_model
Concept in network science
P_{ij}=p} for all i , j {\displaystyle i,j} , then the result is the Erdős–Rényi model G ( n , p ) {\displaystyle G(n,p)} . This case is degenerate—the partition
Stochastic_block_model
Hungarian mathematician and statistician
12 March 1932 (age 94) Scientific career Thesis Some Kolmogorov-Smirnov-Renyi Type Theorems of Probability (1963) Doctoral advisor William A. O'N. Waugh
Miklós_Csörgő
Network for communications over distance
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Telecommunications_network
In the study of complex networks, attack tolerance refers to a network's robustness, or its ability to preserve overall connectivity and network diameter
Attack_tolerance
papers studying random graphs written by Paul Erdős and Alfréd Rényi. The Erdős–Rényi model (ER) supposes that a graph is composed of N labeled nodes
Evolving_network
Network whose degree distribution follows a power law
distortion. Scale-free networks do not arise by chance alone. Erdős and Rényi (1960) studied a model of growth for graphs in which, at each step, two
Scale-free_network
Concept in social network theory
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Triadic_closure
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Similarity_(network_science)
55-story skyscraper located at 500 Grant Street in downtown Pittsburgh, Pennsylvania
Hamilton Aaron Burr Thomas Mellon Notable executives Former Gerald Hassell Tom Renyi Subsidiaries BNY Investments Dreyfus Insight Investment Newton Walter Scott
BNY Mellon Center (Pittsburgh)
BNY_Mellon_Center_(Pittsburgh)
Analysis of social structures using network and graph theory
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Social_network_analysis
Hungarian-American mathematician (1940–2019)
in 1963 from Eötvös Loránd University, under the supervision of Alfréd Rényi. He remained at the Eötvös Loránd University as an assistant professor from
Janos_Galambos
American physicist
Lagrange Prize in Complex Systems. In 2018, Bassett received the Erdős–Rényi Prize for "fundamental contributions to our understanding of the network
Dani_Bassett
Chinese general
of Ningguo Circuit (寧國, headquartered in modern Xuancheng, Anhui) and An Renyi (安仁義) the military prefect of Run Prefecture (潤州, in modern Zhenjiang, Jiangsu)
Wang_Jingren
Canadian-American mathematician and Scrabble player
Logan, A; Molloy, M; Pralat, P (28 June 2018). "A variant of the Erdos-Renyi random graph process". arXiv:1806.10975 [math.CO]. "Standings: Round 24"
Adam_Logan
Term in information theory
versions of the random vectors. This concept was first introduced by Alfréd Rényi in 1959. Simply speaking, it is a measure of the fractal dimension of a
Information_dimension
Machine learning technique for privacy-preserving training
accountant is Rényi differential privacy (RDP), which provides tighter privacy bounds by tracking Rényi divergences of order α. Rényi divergence is a
Differentially private stochastic gradient descent
Differentially_private_stochastic_gradient_descent
Problem in probability theory
+1}.\end{aligned}}} Pierre-Simon Laplace, but also Paul Erdős and Alfréd Rényi, proved the limit theorem for the distribution of T. This result is a further
Coupon_collector's_problem
Historic site in Pennsylvania, USA
Hamilton Aaron Burr Thomas Mellon Notable executives Former Gerald Hassell Tom Renyi Subsidiaries BNY Investments Dreyfus Insight Investment Newton Walter Scott
Mellon_National_Bank_Building
Empress of the Qing dynasty from 1636 to 1643
First Rank Names Jerjer (哲哲) Posthumous name Empress Xiaoduan Zhengjing Renyi Zheshun Cixi Zhuangmin Futian Xiesheng Wen (孝端正敬仁懿哲順慈僖莊敏輔天協聖文皇后) Clan Borjigin
Empress_Xiaoduanwen
Irish-American judge, lawyer and banker (1813–1908)
Hamilton Aaron Burr Thomas Mellon Notable executives Former Gerald Hassell Tom Renyi Subsidiaries BNY Investments Dreyfus Insight Investment Newton Walter Scott
Thomas_Mellon
Hungarian mathematician (1929-2016)
entitled "On Stochastic Set Functions", in 1956. His advisor was Alfréd Rényi. Between 1956 and 1968 he was first assistant, later associate professor
András_Prékopa
Topics referred to by the same term
(incomputable) measure of the information content of a particular message Rényi entropy, a family of diversity measures generalising Shannon entropy; used
Entropy_(disambiguation)
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Fractal_dimension_on_networks
Mixing property of Markov chains and graphs
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Conductance_(graph_theory)
American mathematician
graph theory and random graphs, in particular in generalizing the Erdős–Rényi model for graphs with general degree distribution (including power-law graphs
Fan_Chung
Academic journal
Mathematical Institute of the University of Debrecen. It was founded by Alfréd Rényi, Tibor Szele, and Ottó Varga in 1949. The current editor-in-chief is György
Publicationes Mathematicae Debrecen
Publicationes_Mathematicae_Debrecen
Singaporean actor
Wang Hongzhi 2016 The Dream Job Applicant Cameo Peace & Prosperity Zhao Renyi I Want to Be a Star Du Yiyang Eat Already? Meimei's Brother Cameo 118 II
Nick_Teo
Every large even number is either sum of a prime and a semi-prime or two primes
theorem represents the strengthening of a previous result due to Alfréd Rényi, who in 1947 had shown there exists a finite K such that any even number
Chen's_theorem
Name list
Tibor Pleiß Tibor Polgár (1907–1993), Hungarian composer Tibor Radó Tibor Renyi Tibor Selymes Tibor Sisa Hungarian football manager Tibor Stark Tibor Szasz
Tibor
Hungarian mathematician
in algebraic logic. She is a research professor emeritus at the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences. Andréka was
Hajnal_Andréka
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Global_cascades_model
Number systems with a non-integer radix (base), such as base 2.5
less than β. This is also known as a β-expansion, a notion introduced by Rényi (1957) and first studied in detail by Parry (1960). Every real number has
Non-integer base of numeration
Non-integer_base_of_numeration
Hungarian mathematician
mathematician working in analytic number theory. He is a fellow of the Rényi Mathematical Institute and is also a member of the Hungarian Academy of
János_Pintz
Computer networking concept
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Broadcast, unknown-unicast and multicast traffic
Broadcast,_unknown-unicast_and_multicast_traffic
Knowledge base that represents semantic relations between concepts in a network
Assortativity Distance Modularity Efficiency Models Topology Random graph Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential
Semantic_network
travel, tourism, insurance
RENYI
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RENYI
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travel, tourism, insurance