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A hybrid algorithm is an algorithm that combines two or more other algorithms that solve the same problem, either choosing one based on some characteristic
Hybrid_algorithm
Algorithm that arranges lists in order
In computer science, a sorting algorithm is an algorithm that puts elements of a list into an order. The most frequently used orders are numerical order
Sorting_algorithm
Algorithms which recursively solve subproblems
In computer science, divide and conquer is an algorithm design paradigm. A divide-and-conquer algorithm recursively breaks down a problem into two or
Divide-and-conquer_algorithm
Use of functions that call themselves
aka "Arm's-length recursion" (at bottom) Hybrid algorithm (at bottom) – switching to a different algorithm once data is small enough On the basis of
Recursion_(computer_science)
eigensolver: hybrid quantum-classical algorithm for estimating ground-state energies Hopcroft's algorithm, Moore's algorithm, and Brzozowski's algorithm: algorithms
List_of_algorithms
Mathematical concept
optimization). A hybrid algorithm in multi-objective optimization combines algorithms/approaches from these two fields (see e.g.,). Hybrid algorithms of EMO and
Multi-objective_optimization
I/O-efficient algorithm regardless of cache size
In computing, a cache-oblivious algorithm (or cache-transcendent algorithm) is an algorithm designed to take advantage of a processor cache without having
Cache-oblivious_algorithm
intelligence and operations research for constraint satisfaction a hybrid algorithm solves a constraint satisfaction problem by the combination of two
Hybrid algorithm (constraint satisfaction)
Hybrid_algorithm_(constraint_satisfaction)
Fast approximate median algorithm
computing the pivot. Similarly, median of medians is used in the hybrid introselect algorithm as a fallback for pivot selection at each iteration until kth
Median_of_medians
Distributed algorithm for sensor networks
The Brooks–Iyengar algorithm or FuseCPA Algorithm or Brooks–Iyengar hybrid algorithm is a distributed algorithm that improves both the precision and accuracy
Brooks–Iyengar_algorithm
Quantum algorithm
eigensolver (VQE) is a quantum algorithm for quantum chemistry, quantum simulations and optimization problems. It is a hybrid algorithm that uses both classical
Variational quantum eigensolver
Variational_quantum_eigensolver
Problem in combinatorial optimization
Poirriez, Vincent; Yanev, Nicola; Andonov, Rumen (2009). "A hybrid algorithm for the unbounded knapsack problem". Discrete Optimization. 6 (1):
Knapsack_problem
Algorithm for searching a problem space
algorithm (MA) was introduced by Pablo Moscato in his technical report in 1989 where he viewed MA as being close to a form of population-based hybrid
Memetic_algorithm
Type of comparison sorting algorithm
computer science, merge-insertion sort or the Ford–Johnson algorithm is a comparison sorting algorithm published in 1959 by L. R. Ford Jr. and Selmer M. Johnson
Merge-insertion_sort
Optimization algorithm
computer science and operations research, the ant colony optimization algorithm (ACO) is a probabilistic technique for solving computational problems
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
Chronological table of metaheuristic algorithms
metaheuristic algorithms that only contains fundamental computational intelligence algorithms. Hybrid algorithms and multi-objective algorithms are not listed
Table_of_metaheuristics
Type of mathematical modeling system
MOSEK, SNOPT, and XPRESS. GAMS allows the users to implement a sort of hybrid algorithm combining different solvers. Models are described in concise, human-readable
General algebraic modeling system
General_algebraic_modeling_system
Improving the efficiency of software
more complex algorithm can outweigh the benefit, and thus a hybrid algorithm or adaptive algorithm may be faster than any single algorithm. A performance
Program_optimization
Distributed computing protocol
Abhinandan Das, Indranil Gupta and Ashish Motivala in 2002. It is a hybrid algorithm which combines failure detection with group membership dissemination
SWIM_Protocol
Divide and conquer sorting algorithm
log2(n) passes. Instead of starting with very short runs, usually a hybrid algorithm is used, where the initial pass will read many records into memory
Merge_sort
Subset of evolutionary computation
Evolutionary algorithms (EA) reproduce essential elements of biological evolution in a computer algorithm in order to solve "difficult" problems, at least
Evolutionary_algorithm
Competitive algorithm for searching a problem space
genetic algorithm (GA) is a metaheuristic inspired by the process of natural selection that belongs to the larger class of evolutionary algorithms (EA) in
Genetic_algorithm
Algorithm for finding the shortest paths in graphs
The Bellman–Ford algorithm is an algorithm that computes shortest paths from a single source vertex to all of the other vertices in a weighted digraph
Bellman–Ford_algorithm
Ancient strategy board game
S, Ncube, O and Munapo E, (2003) Tsoro and Hungarian approaches: A hybrid algorithm. Asia and Pacific Journal of Operations Research, Vol 20, pp 41-56
Tsoro
First planet from the Sun
Retrieved March 19, 2023. Wagner, Sam; Wie, Bong (November 2015). "Hybrid Algorithm for Multiple Gravity-Assist and Impulsive Delta-V Maneuvers". Journal
Mercury_(planet)
Algorithm for phase retrieval
The hybrid input-output (HIO) algorithm for phase retrieval is a modification of the error reduction algorithm for retrieving the phases in coherent diffraction
Hybrid_input-output_algorithm
Hybrid sorting algorithm
Introsort or introspective sort is a hybrid sorting algorithm that provides both fast average performance and (asymptotically) optimal worst-case performance
Introsort
Method for finding kth smallest value
In computer science, a selection algorithm is an algorithm for finding the k {\displaystyle k} th smallest value in a collection of orderable values,
Selection_algorithm
Study of resources used by an algorithm
inefficient algorithm may be more efficient. This is particularly used in hybrid algorithms, like Timsort, which use an asymptotically efficient algorithm (here
Analysis_of_algorithms
Hybrid sorting algorithm based on insertion sort and merge sort
Timsort is a hybrid, stable sorting algorithm, derived from merge sort and insertion sort, designed to perform well on many kinds of real-world data. It
Timsort
Hyperparameter optimization framework
Rezashoar, Soheil; Kashi, Ehsan; Saeidi, Soheila (2024-07-26). "A hybrid algorithm based on machine learning (LightGBM-Optuna) for road accident severity
Optuna
Streaming media technique
in dash.js), buffer-based algorithms use only the client's current buffer level (e.g., BOLA in dash.js), and hybrid algorithms combine both types of information
Adaptive_bitrate_streaming
Process in machine learning and statistics
Gene Selection in Cancer Classification using PSO-SVM and GA-SVM Hybrid Algorithms. Archived 2016-08-18 at the Wayback Machine Congress on Evolutionary
Feature_selection
Logic puzzle
Ireland. Retrieved September 5, 2009. Prosser, Patrick (1993). "Hybrid Algorithms for the Constraint Satisfaction Problem" (PDF). Computational Intelligence
Zebra_Puzzle
Subset of artificial intelligence
intelligence concerned with the development and study of statistical algorithms that can learn from data and generalize to unseen data, and thus perform
Machine_learning
Set of objects whose state must satisfy limits
integration of search with local search has been developed, leading to hybrid algorithms. CSPs are also studied in computational complexity theory, finite
Constraint satisfaction problem
Constraint_satisfaction_problem
Collective behavior of decentralized, self-organized systems
search properties of the PSO with global SDS behaviour. The resulting hybrid algorithm is used to sketch novel drawings of an input image, exploiting an artistic
Swarm_intelligence
Cryptographic system with public and private keys
with public-key cryptography in hybrid cryptosystems. Before the mid-1970s, all cipher systems used symmetric key algorithms, in which the same cryptographic
Public-key_cryptography
Cryptography secured against quantum computers
without major architectural changes. Hybrid cryptographic deployments where classical and post-quantum algorithms are used simultaneously have been tested
Post-quantum_cryptography
Method for stochastic equation systems
In probability theory, the Gillespie algorithm (or the Doob–Gillespie algorithm or stochastic simulation algorithm, the SSA) generates a statistically
Gillespie_algorithm
Root-finding algorithm
In numerical analysis, Brent's method is a hybrid root-finding algorithm combining the bisection method, the secant method and inverse quadratic interpolation
Brent's_method
Algorithm used in relational databases
algorithm tries to reduce the chance that it will occur by forming the smallest partitions possible during the initial partitioning phase. The hybrid
Hash_join
Technique for storing and searching internet routing tables
description of the original Luleå Algorithm and a 2x speedup of the Luleå Algorithm, as well as two Hybrid Tree LPM algorithms supporting both dynamic updates
Luleå_algorithm
Hidden Markov model algorithm
Viterbi algorithm Forward-backward algorithm Baum–Welch algorithm Peng, Jian-Xun, Kang Li, and De-Shuang Huang. "A hybrid forward algorithm for RBF neural
Forward_algorithm
Function for sorting in C++ standard library
implementations use different algorithms. The GNU Standard C++ library, for example, uses a 3-part hybrid sorting algorithm: introsort is performed first
Sort_(C++)
Open-source software development kit
classical computing resources as needed, which is especially useful for hybrid algorithms and large‑scale experiments. Qiskit Serverless can be used to: Parallelize
Qiskit
Computer simulation of chemical systems
at least the lowest energy eigenvalue of that Hamiltonian. VQE is a hybrid algorithm that utilizes both quantum and classical computers. The quantum computer
Quantum computational chemistry
Quantum_computational_chemistry
List of quantum computing algorithms
estimation, or hybrid quantum-classical optimization. Adiabatic quantum computation BQP Glossary of quantum computing List of algorithms List of artificial
List_of_quantum_algorithms
System to predict users' preferences
A recommender system, also called a recommendation algorithm, recommendation engine, or recommendation platform, is a type of information filtering system
Recommender_system
Algorithm to be run on quantum computers
In quantum computing, a quantum algorithm is an algorithm that runs on a realistic model of quantum computation, the most commonly used model being the
Quantum_algorithm
Vector quantization algorithm minimizing the sum of squared deviations
efficient heuristic algorithms converge quickly to a local optimum. These are usually similar to the expectation–maximization algorithm for mixtures of Gaussian
K-means_clustering
Cryptographic key management algorithm
cryptography, the Double Ratchet Algorithm (previously referred to as the Axolotl Ratchet) is a key management algorithm that was developed by Trevor Perrin
Double_Ratchet_Algorithm
Sampling algorithm
The Hamiltonian Monte Carlo algorithm (originally known as hybrid Monte Carlo) is a Markov chain Monte Carlo method for obtaining a sequence of random
Hamiltonian_Monte_Carlo
Selection algorithm
introselect (short for "introspective selection") is a selection algorithm that is a hybrid of quickselect and median of medians which has fast average performance
Introselect
Materials that have a negative Poisson's ratio
"Topology optimization for compliant mechanisms, using evolutionary-hybrid algorithms and application to the design of auxetic materials". Composites Part
Auxetics
Topics referred to by the same term
oligonucleotides In evolutionary algorithms, the merging two or more optimization techniques into a single algorithm Memetic algorithm, a common template for hybridization
Hybridisation
Algorithm for public-key cryptography
Ron Rivest, Adi Shamir and Leonard Adleman, who publicly described the algorithm in 1977. An equivalent system was developed secretly in 1973 at Government
RSA_cryptosystem
Upscaling filters for pixel art graphics
art scaling algorithms are graphical filters that attempt to enhance the appearance of hand-drawn 2D pixel art graphics. These algorithms are a form of
Pixel-art_scaling_algorithms
Cryptographic proof technique
cryptography, the hybrid argument is a proof technique used to show that two distributions are computationally indistinguishable. Hybrid arguments had their
Hybrid argument (cryptography)
Hybrid_argument_(cryptography)
Statistical distribution for dependence between random variables
human health and decrease harmful events. Namazi (2022) used a novel hybrid algorithm to predict HR. The combination of SSA and copula-based methods have
Copula_(statistics)
Technique of using algorithms to create music
Algorithmic composition is the technique of using algorithms to create music. Algorithms (or, at the very least, formal sets of rules) have been used to
Algorithmic_composition
against existing algorithms. Additionally, he compared differential evolution (DE), particle swarm optimization (PSO), and a hybrid algorithm (HPSDE) for optimizing
Atulya_Nagar
Technological phenomenon with social implications
Algorithmic bias describes systematic and repeatable harmful tendency in a computerized sociotechnical system to create "unfair" outcomes, such as "privileging"
Algorithmic_bias
Optimization technique
cognitive optimization, bacterial foraging algorithm, and Grey Wolf Optimization are examples of this category. A hybrid metaheuristic is one that combines a
Metaheuristic
Lossless compression algorithm
(stylized as DEFLATE, and also called Flate) is a lossless data compression algorithm that uses a combination of LZ77 and Huffman coding. It was designed by
Deflate
Population-based search algorithm
foragers + scouts) bees. In addition to the basic bees algorithm, there are a number of improved or hybrid versions of the BA, each of which focuses on some
Bees_algorithm
Meld reduces the work-difference when the distribution is skewed. A hybrid algorithm combines BLDM, LRM and Meld and adapts dynamically to different data
Balanced_number_partitioning
traffic demand depends on gradient of traffic volume. Examples of hybrid algorithms are: ZRP (Zone Routing Protocol) ZRP uses IARP as pro-active and IERP
List of ad hoc routing protocols
List_of_ad_hoc_routing_protocols
Method of hydrodynamics simulation
Full-Film Lubrication A. Mahdavi and N. Talebbeydokhti, 2015, propose a hybrid algorithm for implementation of solid boundary condition and simulate flow over
Smoothed-particle hydrodynamics
Smoothed-particle_hydrodynamics
Data storage device
A hybrid drive (solid state hybrid drive – SSHD, and dual-storage drive) is a logical or physical computer storage device that combines a faster storage
Hybrid_drive
Optimization by removing non-optimal solutions to subproblems
a hybrid between branch-and-bound and the cutting plane methods that is used extensively for solving integer linear programs. Evolutionary algorithm Alpha–beta
Branch_and_bound
Algebraic modeling language
post-processing tasks around optimization models the construction of hybrid algorithms for problem types for which no direct efficient solvers are available
AMPL
Triangulation method
Sweephull is a hybrid technique for 2D Delaunay triangulation that uses a radially propagating sweep-hull, and a flipping algorithm. The sweep-hull is
Delaunay_triangulation
Dynamical system that exhibits continuous and discrete dynamic behavior
characterization of this is algorithms that succeed with hybrid systems verification in all robust cases implying that many problems for hybrid systems, while undecidable
Hybrid_system
List of concepts in artificial intelligence
335–368, ISBN 0-13-261066-3 Tahmasebi, P. (2012). "A hybrid neural networks-fuzzy logic-genetic algorithm for grade estimation". Computers & Geosciences. 42:
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
automata theory, a hybrid automaton (plural: hybrid automata or hybrid automatons) is a mathematical model for precisely describing hybrid systems, for instance
Hybrid_automaton
Numerical analysis technique
S2CID 27549555. Aoyagi, P.H.; Lee, J.F.; Mittra, R. (1993). "A hybrid Yee algorithm/scalar-wave equation approach". IEEE Transactions on Microwave Theory
Finite-difference time-domain method
Finite-difference_time-domain_method
paradigm are the first-generation memetic algorithms (MAs). In particular, MAs are referred to as hybrid algorithms, prescribing a marriage between a population-based
Memetic_computing
Classification of quantum processors
perform error-correction effectively. The algorithms run on NISQ devices are usually classical-quantum hybrid algorithms such as the variational quantum eigensolver
Fault tolerant quantum computing
Fault_tolerant_quantum_computing
Parser algorithm for languages
majority of the parsing process. GLR can be combined with the LALR(1) algorithm, in a hybrid parser, allowing still higher performance. Comparison of parser
GLR_parser
3D computer graphics image rendering method
Scanline rendering (also scan line rendering and scan-line rendering) is an algorithm for visible surface determination, in 3D computer graphics, that works
Scanline_rendering
The SPIKE algorithm is a hybrid parallel solver for banded linear systems developed by Eric Polizzi and Ahmed Sameh[1]^[2] The SPIKE algorithm deals with
SPIKE_algorithm
Approximation method in statistics
that surrounds the optimal parameter estimates.[citation needed] Hybrid algorithms that use randomization and elitism, followed by Newton methods have
Non-linear_least_squares
Overview of and topical guide to machine learning
involves the study and construction of algorithms that can learn from and make predictions on data. These algorithms operate by building a model from a training
Outline_of_machine_learning
Method of executing orders
2014). Styled Algorithmic Trading and the MV-MVP Style (Report). SSRN 2507002. Shen, Jackie (June 10, 2017). Hybrid IS-VWAP Dynamic Algorithmic Trading via
Algorithmic_trading
Process of reducing words to word stems
stem for a word. Hybrid approaches use two or more of the approaches described above in unison. A simple example is a suffix tree algorithm which first consults
Stemming
Color reconstruction algorithm
Demosaicing, also known as color reconstruction, is a digital image processing algorithm used to reconstruct a full color image from the incomplete color samples
Demosaicing
Iterative simulation method
guarantee an optimal solution is ever found. A basic variant of the PSO algorithm is initialized with a connected population (called a swarm) of candidate
Particle_swarm_optimization
Format for digital video content
motion compensation (BMC) or DCT motion compensation. This is a hybrid coding algorithm, which combines two key data compression techniques: discrete cosine
Video_coding_format
Method of solving computing problems
Neural, Novel and Hybrid Algorithm for Time Series Prediction. John Wiley and Sons Publishers. Goldberg, D. E. (2000). Genetic Algorithms in search, optimization
Lateral_computing
Universidade de São Paulo, 20(1). 1971. (in collaboration with N.J. Rock). A hybrid algorithm for the rapid Fourier transform of extensive series of data. Boletim
Alberto_dos_Santos_Franco
stochastic simulations or algorithms. Generally they are used for physics and physics-related research. The goal of a hybrid stochastic simulation varies
Hybrid_stochastic_simulation
Design optimization methodology
Hallez, P. Van Hese, Y. D'Asseler, L. Dupré, and R. Van de Walle,"A hybrid algorithm for solving the EEG inverse problem from spatio-temporal EEG data,"
Space_mapping
Practice and study of secure communication techniques
public-key cryptosystems are commonly hybrid cryptosystems, in which a fast high-quality symmetric-key encryption algorithm is used for the message itself,
Cryptography
Business analytics software company
optimization models user interface event handling the construction of hybrid algorithms for problem types for which no direct efficient solvers are available
AIMMS
Game-playing artificial intelligence
research company DeepMind to master the games of chess, shogi and go. This algorithm uses an approach similar to AlphaGo Zero. On December 5, 2017, the DeepMind
AlphaZero
Iterative design process
a sustainable campus, while other studies tried hybrid algorithms, such as using the genetic algorithm and GANs to balance daylight illumination and thermal
Generative_design
k into halves. Hybrid recursive number partitioning (HRNP). Improved bin completion. Improved search strategies. Few machines algorithm. Cached iterative
Multiway_number_partitioning
Algorithms for zeros of functions
In numerical analysis, a root-finding algorithm is an algorithm for finding zeros, also called "roots", of continuous functions. A zero of a function
Root-finding_algorithm
Inherent difficulty of computational problems
and hybrid discrete–continuous-time systems. An early example of algorithm complexity analysis is the running time analysis of the Euclidean algorithm done
Computational complexity theory
Computational_complexity_theory
HYBRID ALGORITHM
HYBRID ALGORITHM
Boy/Male
Hindu, Indian
Lord Subramanian
Girl/Female
Tamil
Deepavati | தீபாவதீ
A Raagini which is a hybrid of Deepak
Deepavati | தீபாவதீ
Girl/Female
Celtic, French, German, Irish
Strong; Protective
Boy/Male
Latin
Drowned for hubris.
Girl/Female
Latin
Daughter of Amphinomus.
Surname or Lastname
English and Scottish
English and Scottish : from Middle English bird, brid ‘nestling’, ‘young bird’ (Old English bridd), applied as a nickname or perhaps occasionally as a metonymic occupational name for a bird catcher. The metathesized form is first found in the Northumbrian dialect of Middle English, but the surname is more common in central and southern England. It may possibly also be derived from Old English burde ‘maiden’, ‘girl’, applied as a derisory nickname.Irish : Anglicization of Gaelic Ó hÉanacháin or Ó hÉinigh, in which the first element (after Ó) has been taken as Gaelic éan ‘bird’ (see Heneghan).Jewish : translation of various Ashkenazic surnames meaning ‘bird’, as for example Vogel.
Surname or Lastname
Scottish and Irish
Scottish and Irish : habitational name from Crichton, near Edinburgh, first recorded c.1128 in the form Crectune, in 1287 as Crecton, and in 1360 as Creychtona. The name is probably an early hybrid compound of Old Welsh creic ‘rock’ + Older Scots tun ‘farm’, ‘settlement’ (Old English tūn). In the British Isles, this spelling of the name is now found chiefly in northern Ireland; the more usual Scottish forms are Crichton and Crighton.Irish : sometimes used for Gaelic Ó Creacháin or Ó Criocháin (see Crehan 2).English : habitational name from Creighton in Staffordshire or Creaton in Northamptonshire, both named with Celtic creig ‘rock’ + Old English tūn ‘settlement’.
Boy/Male
Arabic, Muslim
To Cool
Girl/Female
Indian
A Raagini which is a hybrid of Deepak
Male
Arthurian
, ("horrid"); king Arthur's father.
Boy/Male
Indian, Sanskrit
Personal; Intrinsic; Hybrid; Private
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi
A Raagini; Hybrid of Deepak and Goddess Saraswati
Boy/Male
Muslim
To cool
Surname or Lastname
English
English : habitational name from some minor place called Brid(e)well, as for example Bridwell in Uffculme, Devon, or Bridewell Springs in Westbury, Wiltshire; both are named with Old English br̄d ‘surging’ or br̄d ‘bride’ + well(a) ‘spring’ (perhaps a spring associated with a fertility cult). There may be other places so called with different derivations, for example from Old English bridd ‘nestling’, ‘young bird’ or from St. Bride (see Kilbride).
Boy/Male
Greek
A musician punished for hubris.
Surname or Lastname
English and Scottish
English and Scottish : apparently from a hybrid Germanic name (introduced from the Continent by the Normans), formed with the name of the Scandinavian god of thunder Thor + Germanic berht ‘bright’, ‘famous’.
Boy/Male
Latin
Drowned for hubris.
Girl/Female
Celtic Irish
Strong.
HYBRID ALGORITHM
HYBRID ALGORITHM
Girl/Female
Muslim
Lady. Princess.
Boy/Male
Biblical
Names, desolations.
Girl/Female
Indian
All Type of Character
Girl/Female
Gujarati, Hindu, Indian
Freedom
Surname or Lastname
English
English : patronymic from Fellow, from Middle English felagh, felaw late Old English fēolaga ‘partner’, ‘shareholder’ (Old Norse félagi, from fé ‘fee’, ‘money’ + legja to lay down). In Middle English the term was used in the general sense of a companion or comrade, and the surname thus probably denoted a (fellow) member of a trade guild. Compare Fear 1.
Girl/Female
Biblical
Perfection, or power, of the Lord.
Boy/Male
British, English
From the Yard on a Hill
Female
Hindi/Indian
(Bengali বà§à¦¯à¦¾à¦¨à¦¾à¦°à§à¦œà§€): Variant form of Hindi Rachna, RACHANA means "creation."
Boy/Male
Hindu
Girl/Female
American, Arabic, English, Indian
Sweet Scent; Great Queen
HYBRID ALGORITHM
HYBRID ALGORITHM
HYBRID ALGORITHM
HYBRID ALGORITHM
HYBRID ALGORITHM
a.
Produced from the mixture of two species; as, plants of hybrid nature.
n.
A hydride.
a.
Related to, or resembling, the hydra; of or pertaining to the Hydroidea.
n.
A hybrid between a stallion and an ass.
n.
One of the Hydroideas.
n.
Same as Lyrid.
n.
The hyoid bone.
v. t.
To render hybrid; to produce by mixture of stocks.
n.
The quality of being horrid.
n.
A binary compound containing hydrogen; a hydride. [R.] See Hydride.
n.
The offspring of the union of two distinct species; an animal or plant produced from the mixture of two species. See Mongrel.
a.
Pertaining to, or containing, hydrogen; as, hydric oxide.
a.
Same as Hybrid.
n.
The state or quality of being hybrid.
n.
Anything very ugly or horrid.
n.
Any free-swimming gonophore of a hydroid; a hydroid medusa.
adv.
In a horrid manner.
a.
Deformed; misshapen; shapeless; horrid.
n.
Anything partaking of the natures of two different things; a hybrid.
a.
Capable of forming a hybrid, or of being subjected to a hybridizing process; capable of producing a hybrid by union with another species or stock.