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Algorithmic search method
An exponential tree is a type of search tree where the number of children of its nodes decreases doubly-exponentially with increasing depth. Values are
Exponential_tree
formula Exponential sheaf sequence Exponential smoothing Exponential stability Exponential sum Exponential time Sub-exponential time Exponential tree Exponential
List_of_exponential_topics
Data organization and storage formats
structure (Union-find data structure) Fusion tree Enfilade Exponential tree Fenwick tree Van Emde Boas tree Rose tree These are data structures used for space
List_of_data_structures
Estimate of time taken for running an algorithm
an exponential. In this sense, problems that have sub-exponential time algorithms are somewhat more tractable than those that only have exponential algorithms
Time_complexity
structure's O(logw n) runtime in expectation. Another dynamic version using exponential tree was proposed in 2007 which yields worst-case runtimes of O(logw n +
Fusion_tree
binary tree B*-tree Heap Binary heap Binomial heap Fibonacci heap 2-3 heap Kd-tree Cover tree Decision tree Empty tree Evolutionary tree Exponential tree Family
List_of_graph_theory_topics
Well-quasi-ordering of finite trees
2[1000], which denotes an exponential stack of 2's of height 1000 using his notation. Citations "The Enormity of the Number TREE(3) Is Beyond Comprehension"
Kruskal's_tree_theorem
Data structure in computer science
terabytes. Tree (graph theory) Tree (set theory) Tree structure Exponential tree B-tree (2–3 tree, 2–3–4 tree, B+ tree, B*-tree, UB-tree) Dancing tree Fusion
T-tree
Tree data structure
size. Fusion trees use O(n) space and can be made dynamic with hashing or exponential trees. Lenhof and Smid present a variant of the vEB tree which uses
Van_Emde_Boas_tree
Self-balancing binary search tree data structure
Left-leaning red–black tree AVL tree B-tree (2–3 tree, 2–3–4 tree, B+ tree, B*-tree, UB-tree) Scapegoat tree Splay tree T-tree WAVL tree GNU libavl Cormen
Red–black_tree
Mathematical tree in the hyperbolic plane
hierarchical data as a tree suffers from visual clutter as the number of nodes per level can grow exponentially. For a simple binary tree, the maximum number
Hyperbolic_tree
Data structures used in spatial indexing
key benefits over the traditional R-tree. Since redistributing all objects of a node into two nodes has an exponential number of options, a heuristic needs
R-tree
Smooth approximation of one-hot arg max
The softmax function, also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution
Softmax_function
Parsing technique
generate polynomial-sized representations of the potentially exponential number of parse trees. A compiler parses input from a programming language to an
Top-down_parsing
On short connecting nets with added points
Saurabh, Saket (2015). "Parameterized Single-Exponential Time Polynomial Space Algorithm for Steiner Tree". Automata, Languages, and Programming – 42nd
Steiner_tree_problem
Tree structure in information science
problem was exponential with the dimensionality and thus not feasible ("GetNextZ-address"). A solution to this "crucial part of the UB-tree range query"
UB-tree
combinatorial mathematics, the exponential formula (called the polymer expansion in physics) states that the exponential generating function for structures
Exponential_formula
Hypothetical end-of-the-world scenario
(1986). In Chapter 4, Engines Of Abundance, Drexler illustrates both exponential growth and inherent limits (not gray goo) by describing "dry" nanomachines
Gray_goo
Tree which includes all vertices of a graph
then the minimum spanning tree of the weighted graph is constructed. Because a graph may have exponentially many spanning trees, it is not possible to list
Spanning_tree
Hypothetical event
mistake the logistic function (S-function) for an exponential function, and to see a "knee" in an exponential function where there can in fact be no such thing
Technological_singularity
List of unsolved computational problems
= RL problem Unique games conjecture Is the exponential time hypothesis true? Is the strong exponential time hypothesis (SETH) true? Do one-way functions
List of unsolved problems in computer science
List_of_unsolved_problems_in_computer_science
Algorithm for searching sorted, infinite lists
In computer science, an exponential search (also called doubling search or galloping search or Struzik search) is an algorithm, created by Jon Bentley
Exponential_search
Search algorithm used in sorted arrays
and in numerous other fields. Exponential search extends binary search to unbounded lists. The binary search tree and B-tree data structures are based on
Binary_search
Type of broadband antenna
Perotoni, M.B.; Kofuji, S.T.; Justo, J.F. (2015). "A palm tree antipodal Vivaldi antenna with exponential slot edge for improved radiation pattern". IEEE Antennas
Vivaldi_antenna
Tree graph with nodes numbered in order of distance from the root
In graph theory, a recursive tree (i.e., unordered tree) is a labeled, rooted tree. A size-n recursive tree's vertices are labeled by distinct positive
Recursive_tree
Probability distribution
versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and chi-squared distribution are special
Gamma_distribution
Set of points where the shortest paths from a specific starting point cease to be unique
in T p M {\displaystyle T_{p}M} , the curve defined by the Riemannian exponential map, γ ( t ) = exp p ( t v ) {\displaystyle \gamma (t)=\exp _{p}(tv)}
Cut_locus
Natural number
is a decagonal number and a vertically symmetrical number. "Bell, or exponential numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
52_(number)
2017 Icelandic comedy drama film
Inga and Baldvin that their tree casts a shadow over their backyard patio. This ignites a feud that escalates exponentially, leading to a tragic yet comedic
Under_the_Tree_(2017_film)
Query of largest element in a set less than an element
fusion trees". Symposium on Theory of Computing: 1–7. Andersson, Arne; Thorup, Mikkel (2007), "Dynamic ordered sets with exponential search trees", Journal
Predecessor_problem
Notion in combinatorial game theory
Game tree size (total number of possible games) Decision complexity (number of leaf nodes in the smallest decision tree for initial position) Game-tree complexity
Game_complexity
Failure analysis system used in safety engineering and reliability engineering
has limited value in a fault tree. Quite often, Poisson-Exponentially distributed rates are used to quantify a fault tree instead of probabilities. Rates
Fault_tree_analysis
Mapping of a graph into a tree
and a width k tree decomposition constructed for them, in linear time. The time dependence of this algorithm on k is an exponential function of k3.
Tree_decomposition
Heuristic search algorithm for evaluating game trees
In computer science, Monte Carlo tree search (MCTS) is a heuristic tree search algorithm for some kinds of decision processes, most notably those employed
Monte_Carlo_tree_search
Computer science concept
better than the exponential time required for a brute-force search, it is still too slow to be practical when the number of elements in the tree is very large
Optimal_binary_search_tree
Type of transfinite numbers
points of an exponential map. Consequently, they are not reachable from 0 via a finite series of applications of the chosen exponential map and of "weaker"
Epsilon_number
Number denoting a graph's closeness to a tree
{\displaystyle k} tree decomposition constructed for them, in linear time. The time dependence of this algorithm on k {\displaystyle k} is exponential. Due to the
Treewidth
Heuristic pathfinding algorithm
neighbors n' of n; they conclude that compared to a brute-force tree search over an exponential-sized problem, IDA* achieves a smaller search depth (by a constant
Iterative_deepening_A*
regular tree language. Furthermore, the domain is recognisable by a deterministic top-down tree automaton (DTTA) of size at most exponential in that of
Tree_transducer
Free online crowdsourced encyclopedia
domain from wikipedia.com to wikipedia.org. After an early period of exponential growth, the growth rate of the English Wikipedia in terms of the numbers
Wikipedia
Type of activation function
in that the softplus function numerically approximates the sum of an exponential number of linear models that share parameters. They then proposed ReLU
Rectified_linear_unit
Model of computational complexity
complexity theory, the decision tree model is the model of computation in which an algorithm can be considered to be a decision tree, i.e. a sequence of queries
Decision_tree_model
Machine learning algorithm
The junction tree algorithm (also known as 'Clique Tree') is a method used in machine learning to extract marginalization in general graphs. In essence
Junction_tree_algorithm
Probabilistic problem-solving algorithm
to a degree of freedom. Monte Carlo methods provide a way out of this exponential increase in computation time. As long as the function in question is
Monte_Carlo_method
Knowledge base that represents semantic relations between concepts in a network
Erdős–Rényi Barabási–Albert Bianconi–Barabási Fitness model Watts–Strogatz Exponential random (ERGM) Random geometric (RGG) Hyperbolic (HGN) Hierarchical Stochastic
Semantic_network
Method for evaluating stock options that divides time into discrete intervals
"bush", and the number of nodes grows exponentially as a function of number of time-steps. A recombining binomial tree methodology is also available for the
Lattice_model_(finance)
Intelligence in machines
because they experienced a "combinatorial explosion", meaning they become exponentially slower as the problems grow. Even humans rarely use the step-by-step
Artificial_intelligence
Cache of previously seen positions, and associated evaluations in a game tree
index. The number of possible positions that may occur in a game tree is an exponential function of depth of search, and can be thousands to millions or
Transposition_table
Hardware multiplier design
multiplication algorithm Fused multiply–add Wallace tree BKM algorithm for complex logarithms and exponentials Kochanski multiplication for modular multiplication
Dadda_multiplier
Numbers obtained by adding the two previous ones
\psi ={\tfrac {1}{2}}\left(1-{\sqrt {5}}\right)} is its conjugate. The exponential generating function of the Fibonacci sequence may also be derived from
Fibonacci_sequence
Approximation used in electrical circuits
from the root to the sink. Assume the output is a simple exponential, and find the exponential that has the same integral as the true response. This is
Elmore_delay
Randomly determined process
Probability distribution Bernoulli distribution Binomial distribution Exponential distribution Normal distribution Pareto distribution Poisson distribution
Stochastic
Diagram to represent a probability space in probability theory
In probability theory, a tree diagram may be used to represent a probability space. A tree diagram may represent a series of independent events (such
Tree diagram (probability theory)
Tree_diagram_(probability_theory)
Formal power series
types of generating functions, including ordinary generating functions, exponential generating functions, Lambert series, Bell series, and Dirichlet series
Generating_function
Product of numbers from 1 to n
and the volumes of hyperspheres, and in counting binary trees and perfect matchings. Exponential factorial Just as triangular numbers sum the numbers from
Factorial
In probability theory and statistics, a Chow–Liu tree is an efficient method for constructing a second-order product approximation of a joint probability
Chow–Liu_tree
Foundations of probability theory
Probability distribution Bernoulli distribution Binomial distribution Exponential distribution Normal distribution Pareto distribution Poisson distribution
Probability_axioms
Burst of electromagnetic energy
building up quickly to their maximum level. The classic model is a double-exponential curve which climbs steeply, quickly reaches a peak and then decays more
Electromagnetic_pulse
Average value of a random variable
Probability distribution Bernoulli distribution Binomial distribution Exponential distribution Normal distribution Pareto distribution Poisson distribution
Expected_value
Bijection between the vertex set of two graphs
Babai briefly retracted the quasi-polynomiality claim and stated a sub-exponential time complexity bound instead. He restored the original claim five days
Graph_isomorphism
Technique to compress data
linear in the number of possibilities to be encoded, a number that is exponential in the size of a block. This limits the amount of blocking that is done
Huffman_coding
Open problem on 3x+1 and x/2 functions
to define a complex interpolating function, such as using the complex exponential instead of sine and cosine: f ( z ) = z 2 + 1 4 ( 2 z + 1 ) ( 1 − e i
Collatz_conjecture
Observed value of a random variable
Probability distribution Bernoulli distribution Binomial distribution Exponential distribution Normal distribution Pareto distribution Poisson distribution
Realization_(probability)
Mathematical term in group theory
group of intermediate (that is, faster than polynomial but slower than exponential) growth. The group was originally constructed by Grigorchuk in a 1980
Grigorchuk_group
Concept in probability theory
Probability distribution Bernoulli distribution Binomial distribution Exponential distribution Normal distribution Pareto distribution Poisson distribution
Law_of_total_probability
Procedure that can be infinitely repeated, with a well-defined set of outcomes
Probability distribution Bernoulli distribution Binomial distribution Exponential distribution Normal distribution Pareto distribution Poisson distribution
Experiment (probability theory)
Experiment_(probability_theory)
Concept in probability theory
Brownian tree, or Aldous tree, or Continuum Random Tree (CRT) is a random real tree that can be defined from a Brownian excursion. The Brownian tree was defined
Brownian_tree
Probability distribution on equally likely outcomes
discrete distributions over bounded integer ranges do not constitute an exponential family of distributions because their support varies with their parameters
Discrete_uniform_distribution
Binary tree selected at random
children, at an exponentially distributed time after its first appearance as an external node. The number of external nodes in the tree, at any time, is
Random_binary_tree
Concept in genealogy
great-grandparents (8), and so on. However, the number of individuals in such a tree grows exponentially and will eventually become impossibly high. For example, a single
Pedigree_collapse
Describes approximate behavior of a function
terms are summarized in a single big O term. Consider, for example, the exponential series and two expressions of it that are valid when x {\displaystyle
Big_O_notation
Problem in computer science
Simon's problem is a computational problem that is proven to be solved exponentially faster on a quantum computer than on a classical (that is, traditional)
Simon's_problem
Visual representation of a decision-making problem
widely and becoming an alternative to the decision tree which typically suffers from exponential growth in number of branches with each variable modeled
Influence_diagram
Type of machine learning model
}}\Pr({\text{correct token}})} , then ( log x , y ) {\displaystyle (\log x,y)} is an exponential curve (before it hits the plateau at one), which looks like emergence
Large_language_model
Shortest network connecting points
some trees may require edges of exponential length and bounding boxes of exponential area relative to the length of their shortest edge. Trees of maximum
Euclidean minimum spanning tree
Euclidean_minimum_spanning_tree
Data structure for Boolean functions
getting a graph whose number of nodes would be linear (in n) at best and exponential at worst (e.g., a ripple carry adder). Consider the Boolean function
Binary_decision_diagram
Model used in financial mathematics
The trinomial tree is a lattice-based computational model used in financial mathematics to price options on equity. It was developed by Phelim Boyle in
Trinomial_tree
Mathematical tree on concentric circles
A radial tree, or radial map, is a method of displaying a tree structure (e.g., a tree data structure) in a way that expands outwards, radially. It is
Radial_tree
Approximate nearest neighbor search algorithm
dataset is large. Exact search methods based on spatial trees, such as the k-d tree and R-tree, can also become less effective for high-dimensional data
Hierarchical navigable small world
Hierarchical_navigable_small_world
Multivalued function in mathematics
combinatorics, for instance, in the enumeration of trees. It can be used to solve various equations involving exponentials (e.g. the maxima of the Planck, Bose–Einstein
Lambert_W_function
Two closely related models for generating random graphs
random graph models, capable of reproducing many real-life phenomena, are exponential random graph models. The G(n, p) model was first introduced by Edgar
Erdős–Rényi_model
Third planet from the Sun
remains limited. Since the 19th century, the human population has grown exponentially to eight billion in the 2020s, and is projected to peak at around ten
Earth
Class of animals
reptile diversification slowed, bird and mammal diversification took an exponential turn. However, reptiles were still important components of the megafauna
Reptile
Eukaryotes other than animals, plants or fungi
or clade, but are a paraphyletic group encompassing the entire eukaryote tree of life, from which land plants, animals, and fungi evolved. They are primarily
Protist
Branch of statistics
survival analyses using R (or using S, and which run in R). Exponential distribution Exponential-logarithmic distribution Gamma distribution Generalized gamma
Survival_analysis
Software for analyzing phylogenic trees
lengths of trees follow an exponential distribution. The branch lengths are multiplied by 1+ax, where the variable x is obtained from an exponential distribution
T-REX_(web_server)
Fast-growing function
Kruskal's tree theorem, which leads to the similar TREE function Hydra game ^ a Friedman actually writes this as 2[2000], which denotes an exponential stack
Friedman's_SSCG_function
Types of numerical variables in mathematics
Probability distribution Bernoulli distribution Binomial distribution Exponential distribution Normal distribution Pareto distribution Poisson distribution
Continuous or discrete variable
Continuous_or_discrete_variable
Technique used in forestry
In forestry, a tree crown measurement is one of the tree measurements taken at the crown of a tree, which consists of the mass of foliage and branches
Tree_crown_measurement
Random process independent of past history
to describe holding times in each of the states where Si follows the exponential distribution with rate parameter −qYiYi. For any value n = 0, 1, 2, 3
Markov_chain
Number of children at each node of a tree
exhaustive brute force searches, computationally more expensive due to the exponentially increasing number of nodes, leading to combinatorial explosion. For
Branching_factor
Statistical principle about ratio of effects to causes
that associated with other usual models, such as, e.g., Gaussian or exponential. This fact explains the frequent breakdowns of sophisticated financial
Pareto_principle
Decision rule used for minimizing the possible loss for a worst-case scenario
of nodes to be explored usually increases exponentially with the number of plies (it is less than exponential if evaluating forced moves or repeated positions)
Minimax
Method of statistical inference
their position Checking if a coin is fair Comparing means test decision tree Complete spatial randomness Counternull Dichotomous thinking E-values Estimation
Statistical_hypothesis_test
Type of small omnivorous rodent
voles reach sexual maturity in a month. As a result of this biological exponential growth, vole populations can grow very large within a short time. One
Vole
Study of collection and analysis of data
correlation; (follow-on) courses may include forecasting, time series, decision trees, multiple linear regression, and other topics from business analytics more
Statistics
Species of flowering plant in the laurel family
avocado, alligator pear or avocado pear (Persea americana) is an evergreen tree in the laurel family (Lauraceae). It is native to the Americas, with archaeological
Avocado
Type of unsustainable business model
The behavior of pyramid schemes follows the mathematics concerning exponential growth quite closely. Each level of the pyramid is much larger than the
Pyramid_scheme
Statistical model for a binary dependent variable
by some value of the predictor. base e {\displaystyle e} denotes the exponential function. The odds of the dependent variable equaling a case (given some
Logistic_regression
collection Lattice Tree related topics: Tree structure Tree (data structure) Tree (graph theory) Tree network Tree (descriptive set theory) Tree (set theory)
Hierarchy_(mathematics)
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