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Attribute of machine learning models
The sample complexity of a machine learning algorithm represents the number of training-samples that it needs in order to successfully learn a target
Sample_complexity
young vs. old bidders). The sample complexity of a random-sampling mechanism is the number of agents it needs to sample in order to attain a reasonable
Random-sampling_mechanism
Type of heuristic technique
Daniel J. Russo and Benjamin Van Roy (2013), "Eluder Dimension and the Sample Complexity of Optimistic Exploration", Advances in Neural Information Processing
Thompson_sampling
American biotechnology company
enrich proteins from biological samples, thereby addressing common issues related to dynamic range and sample complexity in proteomics. Seer's platform
Seer,_Inc.
Measure of algorithmic complexity
theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest computer
Kolmogorov_complexity
Selection of data points in statistics
using stratified sampling. First, identifying strata and implementing such an approach can increase the cost and complexity of sample selection, as well
Sampling_(statistics)
Restricted model of non-universal quantum computation
(2013). "Boson-Sampling in the light of sample complexity". arXiv:1306.3995 [quant-ph]. Aaronson, Scott; Arkhipov, Alex (2013). "BosonSampling is far from
Boson_sampling
Inequality in information theory
total variation distance between two sequences of n {\displaystyle n} samples is at least 1 − 2 δ {\displaystyle 1-2\delta } . This is because the total
Bretagnolle–Huber_inequality
Measure of complexity of real-valued functions
Z} . The Rademacher complexity of the function class F {\displaystyle {\mathcal {F}}} with respect to P {\displaystyle P} for sample size m {\displaystyle
Rademacher_complexity
returns a sample from the distribution D {\displaystyle \textstyle D} . Sometimes the interest is, apart from measuring the time complexity, to measure
Distribution_learning_theory
Model of algorithmic learning
the Occam framework can be used to produce tighter bounds on the sample complexity of classical problems including conjunctions, conjunctions with few
Occam_learning
Machine learning strategy
smallest and largest Ws. List of datasets for machine learning research Sample complexity Bayesian optimization Reinforcement learning Improving Generalization
Active learning (machine learning)
Active_learning_(machine_learning)
Book by Robert Venturi
03/12/2024. Complexity and Contradiction in Architecture - Robert Venturi. modernism101.com. Retrieved 04/12/2024. WebSample Complexity and Contradiction
Complexity and Contradiction in Architecture
Complexity_and_Contradiction_in_Architecture
Machine learning technique
its policy immediately, have been mathematically studied proving sample complexity bounds for RLHF under different feedback models. In the offline data
Reinforcement learning from human feedback
Reinforcement_learning_from_human_feedback
Estimate of time taken for running an algorithm
the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly
Time_complexity
Signal-processing paradigm that trades precision for volume of measurements
for speed and robustness. The Finite Volume Property (FVP) provides sample-complexity bounds ensuring that the polyhedron formed by one-bit inequalities
Sample_abundance
Framework for mathematical analysis of machine learning
Warmuth Data mining Error tolerance (PAC learning) Occam learning Sample complexity L. Valiant. A theory of the learnable. Communications of the ACM,
Probably approximately correct learning
Probably_approximately_correct_learning
Proposed Mars sample return mission
Perseverance rover is currently gathering samples on Mars. After a project review critical of its cost and complexity, NASA announced that the project was
NASA-ESA_Mars_Sample_Return
Israeli-Canadian computer scientist and professor
2014). He received the best paper award at NeurIPS 2018. for work on sample complexity of distribution learning problems. He was the President of the Association
Shai_Ben-David
Notion in supervised machine learning
Vapnik–Chervonenkis (VC) dimension is a measure of the size (capacity, complexity, expressive power, richness, or flexibility) of a class of sets. The notion
Vapnik–Chervonenkis_dimension
Sampling methodology in statistics
from within each cluster (i.e. two-stage cluster sampling). Complexity. Cluster sampling is more sophisticated and requires more attention with how to
Cluster_sampling
Interdisciplinary research area
of examples needed: for every concept class, classical and quantum sample complexity are the same up to constant factors. However, for learning under some
Quantum_machine_learning
Intelligence of machines
Computational learning theory can assess learners by computational complexity, by sample complexity (how much data is required), or by other notions of optimization
Artificial_intelligence
Overview of and topical guide to machine learning
extraction system family SAS (software) SNNS SPSS Modeler SUBCLU Sample complexity Sample exclusion dimension Santa Fe Trail problem Savi Technology Schema
Outline_of_machine_learning
Filling in missing entries of a matrix
not the case which implies that the sample complexity bounds can be further tightened. In terms of time complexity, they showed that AltMinComplete needs
Matrix_completion
Complexity of sending information in a distributed algorithm
In theoretical computer science, communication complexity studies the amount of communication required to solve a problem when the input to the problem
Communication_complexity
Tomer; Mansour, Yishay; Moran, Shay; Zhang, Qian (2025-11-16). "Sample Complexity of Agnostic Multiclass Classification: Natarajan Dimension Strikes
Natarajan_dimension
question in PIM design is: what is the sample complexity of the mechanism? I.e, how many agents it needs to sample in order to attain a reasonable approximation
Prior-independent_mechanism
case-control sampling is an algorithm used to reduce the complexity of training a logistic regression classifier. The algorithm reduces the training complexity by
Local_case-control_sampling
Algorithm that employs a degree of randomness as part of its logic or procedure
Carlo algorithms are considered, and several complexity classes are studied. The most basic randomized complexity class is RP, which is the class of decision
Randomized_algorithm
Computational statistics technique
In numerical analysis and computational statistics, rejection sampling is a basic technique used to generate observations from a distribution. It is also
Rejection_sampling
Probabilistic problem-solving algorithm
a flow of probability distributions with an increasing level of sampling complexity arise (path spaces models with an increasing time horizon, Boltzmann–Gibbs
Monte_Carlo_method
between the concepts of complexity and risk. A related approach, named "Repetitive Scenario Design" aims at reducing the sample complexity of the solution by
Scenario_optimization
Large-scale study of proteins
analysis (see below). For the analysis of complex biological samples, a reduction of sample complexity is required. This may be performed off-line by one-dimensional
Proteomics
Feature of artificial neural networks
Cite journal requires |journal= (help) Bartlett, P.L. (1998). "The sample complexity of pattern classification with neural networks: the size of the weights
Large width limits of neural networks
Large_width_limits_of_neural_networks
Russian-American mathematician
connected the fields of deep learning and inverse problems, resolving the sample complexity bottleneck for compressive phase retrieval. Voroninski was awarded
Vlad_Voroninski
Randomized algorithm
Reservoir sampling is a family of randomized algorithms for choosing a simple random sample, without replacement, of k items from a population of unknown
Reservoir_sampling
Framework in machine learning
simpler classification problem and, consequently, in great reduction of sample complexity of the model. A simple computational experiment illustrates this idea
M-theory_(learning_framework)
System composed of many interacting components
and Complexity", exploring the diversity of problem types by contrasting problems of simplicity, disorganized complexity, and organized complexity. Weaver
Complex_system
Modification of approximate entropy
postural control. Like approximate entropy (ApEn), Sample entropy (SampEn) is a measure of complexity. But it does not include self-similar patterns as
Sample_entropy
American computer scientist
work helped established statistical frameworks used in the study of sample complexity in reinforcement learning. He co-developed methods in policy optimization
Sham_Kakade
Computational complexity of quantum algorithms
Quantum complexity theory is the subfield of computational complexity theory that deals with complexity classes defined using quantum computers, a computational
Quantum_complexity_theory
Calculation of complex statistical distributions
methods for obtaining random samples from a sequence of probability distributions with an increasing level of sampling complexity. These probabilistic models
Markov_chain_Monte_Carlo
Statistics and machine learning technique
BIC's penalty for model complexity is ln ( n ) k {\displaystyle \ln(n)k} , while AIC's is 2 k {\displaystyle 2k} . Large-sample asymptotic theory establishes
Ensemble_learning
Indicator for how well data points fit a line or curve
regression (which includes an intercept), r2 is simply the square of the sample correlation coefficient (r), between the observed outcomes and the observed
Coefficient_of_determination
Measure of variation in statistics
not the number of samples N. The incremental method with reduced rounding errors can also be applied, with some additional complexity. A running sum of
Standard_deviation
Computational benchmark
assumptions in the theory of computational complexity have to be invoked. In this sense, quantum random sampling schemes can have the potential to show quantum
Quantum_supremacy
American computer scientist and academic
Siddiqui, Alan Fern, Thomas G. Dietterich, Shubhomoy Das (2016). Finite Sample Complexity of Rare Pattern Anomaly Detection. Uncertainty in Artificial Intelligence
Thomas_G._Dietterich
Discrete Fourier transform algorithm
of sparse (mostly zero) factors. As a result, it manages to reduce the complexity of computing the DFT from O ( n 2 ) {\textstyle O(n^{2})} , which arises
Fast_Fourier_transform
Multi-armed bandit sequential game
}}\neq a^{*})\leq \delta } . The objective is to minimize the expected sample complexity E [ τ δ ] {\displaystyle \mathbb {E} [\tau _{\delta }]} . Such a setting
Best_arm_identification
Romanian scientist and emeritus professor
1137/060657704 Vainsencher, D.; Mannor, S.; Bruckstein, A.M. (2011), "The Sample Complexity of Dictionary Learning", Journal of Machine Learning Research, 12
Alfred_Marcel_Bruckstein
American computer scientist (born 1981)
University of Texas at Austin. His primary areas of research are computational complexity theory and quantum computing. Aaronson grew up in the United States, though
Scott_Aaronson
Discrete Fourier transform algorithm
"Sparse fourier transform in any constant dimension with nearly-optimal sample complexity in sublinear time". Proceedings of the forty-eighth annual ACM symposium
Sparse_Fourier_transform
Mathematical statistics distance measure
mirror descent for reinforcement learning: linear convergence, new sampling complexity, and generalized problem classes". Mathematical Programming. 198
Kullback–Leibler_divergence
Spacecraft mission
A sample-return mission is a spacecraft mission to collect and return samples from an extraterrestrial location to Earth for analysis. Sample-return missions
Sample-return_mission
American computer scientist
1145/1566374.1566407. Cole, Richard; Roughgarden, Tim (2014). "The Sample Complexity of Revenue Maximization". Proceedings of the 46th Annual ACM Symposium
Tim_Roughgarden
Russian computer scientist
Artificial Intelligence). Retrieved 8 August 2023. "Tree Learning: Optimal Sample Complexity and Algorithms" (PDF). AAAI 2023 (37th AAAI Conference on Artificial
Grigory_Yaroslavtsev
Mars mission to collect rock and dust samples
would have launched it. Another sample-return mission, Mars 5M (Mars-79), planned for 1979, was cancelled due to complexity and technical problems. In the
Mars_sample-return_mission
Board game
English draughts is 500,995,484,682,338,672,639 and it has a game-tree complexity of approximately 1040. By comparison, chess is estimated to have between
English_draughts
Distribution estimation technique
Importance sampling is a Monte Carlo method for evaluating properties of a particular distribution, while only having samples generated from a different
Importance_sampling
American social scientist (1942–2021)
the network realism paradigm, Social complexity and complex-network system dynamics. Standard Cross-Cultural Sample System dynamics Studies of world system
Douglas_R._White
Concept in machine learning
excessively, leading to slower convergence rates (with regards to sample complexity) than for the logistic loss or hinge loss functions. In addition,
Loss functions for classification
Loss_functions_for_classification
Software maintainability index
Halstead complexity measures are software metrics introduced by Maurice Howard Halstead in 1977 as part of his treatise on establishing an empirical science
Halstead_complexity_measures
Theoretical computer scientist
Wang; Xian Wu; Lin Yang; Yinyu Ye (2018). "Near-Optimal Time and Sample Complexities for Solving Markov Decision Processes with a Generative Model" (PDF)
Mengdi_Wang
Complexity class
computational complexity theory, the class QIP (which stands for Quantum Interactive Proof) is the quantum computing analogue of the classical complexity class
QIP_(complexity)
Scientific discipline
barrier for their detection. Chemical biology methods can reduce sample complexity by selective enrichment using affinity chromatography. This involves
Chemical_biology
Computational complexity class of problems
In computational complexity theory, bounded-error quantum polynomial time (BQP) is the class of decision problems solvable by a quantum computer in polynomial
BQP
Statistical measure used in survey research
a sample of people may represent a larger group of people for a specific measure of interest (such as the mean). This is important when the sample comes
Design_effect
Species of bacterium
surfaces), with the exception of marine environments. However, sampling complexities and the prevailing perception of low activities of phototrophic
Gemmatimonas_groenlandica
Concept in quantum mathematics
on sampling problems. One of the theoretically compelling methods that would provide such a task is Boson Sampling, as it shows strong complexity-theoretic
Quantum_random_circuits
United States federal regulatory standards
level of complexity by assigning scores of 1, 2, or 3 for each of the following seven criteria. A score of 1 is the lowest level of complexity, and a score
Clinical Laboratory Improvement Amendments
Clinical_Laboratory_Improvement_Amendments
Automated planner
and B. Nebel (1995). Complexity results for SAS+ planning. Computational Intelligence, 11:625-656. T. Bylander (1991). Complexity results for planning
Stanford Research Institute Problem Solver
Stanford_Research_Institute_Problem_Solver
processing is directly associated with digital signal processing because its complexity warrants the use of computer modelling and computation. A multidimensional
Multidimensional signal processing
Multidimensional_signal_processing
Mathematical folklore
for example if sequences of lower Kolmogorov complexity are more probable than sequences of higher complexity, then (as is observed in real life) some algorithms
No_free_lunch_theorem
Fountain code class
distribution, as well as the mechanism for generating pseudo-random numbers for sampling this distribution and for choosing the symbols to be XOR'ed, must be known
Raptor_code
Technique in digital signal processing
calculations, which has computational complexity equivalent of sliding DFT), the Goertzel algorithm has a higher order of complexity than fast Fourier transform
Goertzel_algorithm
Vitreous enamelling technique
partner of Constantinople) with other enamel techniques. Despite its complexity, plique-à-jour tableware (especially "kovsh" bowls) was used by its aristocracy
Plique-à-jour
Video compression format, succeeds H.264/MPEG-4 AVC
quality compared with the H.264/MPEG-4 AVC High profile, and computational complexity ranging from 1/2 to 3 times that of the High profile. NGVC would be able
High_Efficiency_Video_Coding
Metrics (NDepend currently supports more than 100 code metrics: Cyclomatic complexity; Afferent and Efferent Coupling; Relational Cohesion; Google page rank
NDepend
Unsolved problem in computational complexity theory
time nor to be NP-complete, and therefore may be in the computational complexity class NP-intermediate. It is known that the graph isomorphism problem
Graph_isomorphism_problem
Image file format with multiple editions
JIF to solve some of JIF's limitations, including unnecessary complexity, component sample registration, resolution, aspect ratio, and color space. Because
JPEG_File_Interchange_Format
Algorithm analysis method
theoretical computer science, smoothed analysis is a way of measuring the complexity of an algorithm. Since its introduction in 2001, smoothed analysis has
Smoothed_analysis
Process of using data analysis for predicting population data from sample data
hypotheses and deriving estimates. It is assumed that the observed data set is sampled from a larger population. Inferential statistics can be contrasted with
Statistical_inference
System whose behavior is not automatically predictable from its parts
life appears more diverse only because of sampling bias. If there is a lack of an overall trend towards complexity in biology, this would not preclude the
Complex_adaptive_system
Algorithm used for pathfinding and graph traversal
major practical drawback is its O ( b d ) {\displaystyle O(b^{d})} space complexity where d is the depth of the shallowest solution (the length of the shortest
A*_search_algorithm
Deprecated WiFi utilities for Linux
distribution, it is usually easy to find in binary form. Due to the relative complexity of requiring several separate commands for one task (e.g. iwlist and iwconfig
Wireless_tools_for_Linux
Principle in statistical learning theory
minimization given a fixed function class can be derived using bounds on the VC complexity of the function class. For simplicity, considering the case of binary
Empirical_risk_minimization
Property whereby no efficient algorithm can distinguish two distributions
In computational complexity and cryptography, two families of distributions are computationally indistinguishable if no efficient algorithm can tell the
Computational indistinguishability
Computational_indistinguishability
Quantum Merlin Arthur
abbreviation for Quantum Merlin Arthur, refers to a complexity class in computational complexity theory. It is the set of all formal languages that satisfy
QMA
Earth, and large organisms only appear more diverse due to sampling bias. Genome complexity has generally increased since the beginning of the life on
Evolution of biological complexity
Evolution_of_biological_complexity
Algorithm characteristic in computations
In computational complexity theory, the average-case complexity of an algorithm is the amount of some computational resource (typically time) used by the
Average-case_complexity
Mathematical modelling alogorithm
Divides data sample at least into two samples A and B. Generates subsamples from A according to partial models with steadily increasing complexity. Estimates
Group_method_of_data_handling
Complexity class used in circuit complexity
theoretical computer science, and specifically computational complexity theory and circuit complexity, TC0 (Threshold Circuit) is the first class in the hierarchy
TC0
Improved phase-locked loop
using more complex modulation schemes - that is, transmitting more bits per sample. Frequency settling time is the time it takes the PLL to hop to another
PLL_multibit
International scientific research project
World Sample 30. The World Sample-30 provides the Seshat project with an initial sample of societies that vary along the dimension of social complexity from
Seshat_(project)
Written or spoken word game
League, constructed a sample winning strategy in 1987, based on the Official Scrabble Players Dictionary. Randall Munroe posted a sample winning strategy in
Ghost_(game)
Concept in information theory
and complexity of the underlying probability distribution. A model of an unknown probability distribution p may be proposed based on a training sample that
Perplexity
Lossy audio compression format
Part 7 defined three profiles: Low-Complexity profile (AAC-LC / LC-AAC), Main profile (AAC Main) and Scalable Sampling Rate profile (AAC-SSR). AAC-LC profile
Advanced_Audio_Coding
Music production practice
replacing (or adding to) the sound of a particular drum with a pre-recorded sample. For example, a drummer might play a beat, whereupon the engineer might
Drum_replacement
Experiment methodology
variable. It includes application of statistical hypothesis testing or "two-sample hypothesis testing" as used in the field of statistics. A/B testing is employed
A/B_testing
SAMPLE COMPLEXITY
SAMPLE COMPLEXITY
Surname or Lastname
English
English : topographic name for someone who lived by a maple tree, Middle English mapel (Old English mapul).French : from Latin mapula, a diminutive of mappa ‘piece of cloth’, ‘napkin’, presumably a metonymic occupational name for a cloth merchant or a weaver.
Boy/Male
English
Temple-town. This surname refers to medieval priories and settlements of the military religious...
Female
Greek
(ΣεμÎλη) Greek name SEMELE means "of the earth (or underworld)." In mythology, this is the name of a daughter of Kadmos (Latin Cadmus), the mortal mother of Dionysos. Also known as Thyone.
Surname or Lastname
English, Scottish, Welsh, French, German, Dutch, Hungarian (Sámuel), Jewish, and South Indian
English, Scottish, Welsh, French, German, Dutch, Hungarian (Sámuel), Jewish, and South Indian : from the Biblical male personal name Samuel (Hebrew Shemuel ‘Name of God’). This name is also well established in South India.It is found as a personal name among Christians in India, and in the U.S. is used as a family name among families from southern India.
Surname or Lastname
English and French
English and French : occupational name or habitational name for someone who was employed at or lived near one of the houses (‘temples’) maintained by the Knights Templar, a crusading order so named because they claimed to occupy in Jerusalem the site of the old temple (Middle English, Old French temple, Latin templum). The order was founded in 1118 and flourished for 200 years, but was suppressed as heretical in 1312.English : name given to foundlings baptized at the Temple Church, London, so called because it was originally built on land belonging to the Templars.Scottish : habitational name from the parish of Temple in Edinburgh, likewise named because it was the site of the local headquarters of the Knights Templar.
Male
German
Pet form of Old High German Hamprecht, HAMPE means "bright home."
Male
English
Variant spelling of English unisex Sammy, SAMMIE means "heard of God," "his name is El," or "name of God."
Surname or Lastname
English
English : from Middle English stapel ‘post’, hence a topographic name for someone who lived near a boundary post, or a habitational name from some place named with this word (Old English stapel), as for example Staple in Kent or Staple Fitzpaine in Somerset.Americanized spelling of German Stapel.
Male
English
Anglicized form of Greek Samouel (Hebrew Shemuwel), SAMUEL means "heard of God," "his name is El," or "name of God." In the bible, this is the name of a son of Elkanah by Hannah.
Girl/Female
Indian, Telugu
Simple Looking; Good Smile
Male
Italian
Italian form of Greek Samouel, SAMUELE means "heard of God," "his name is El," or "name of God."
Surname or Lastname
English (mainly Nottinghamshire)
English (mainly Nottinghamshire) : unexplained; probably a variant of Sample.
Boy/Male
Shakespearean
The Merry Wives of Windsor' Servant to Slender.
Male
Finnish
Finnish form of Greek Sampson, SAMPSA means "like the sun." In mythology, this is the name of a god of harvest who wakes up in the spring and dances through the fields sowing corn and oats. His full name is Sampsa Pellervoinen and he is also known by the name Pellervo.
Surname or Lastname
English and Scottish
English and Scottish : reduced form of Hemphill.German : variant of Hempel, or in some instances probably an Americanized spelling of the same name.
Boy/Male
Australian, British, English
From the Temple Settlement
Male
Finnish
Finnish form of Greek Samouel, SAMULI means "heard of God," "his name is El," or "name of God."
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from any of various places in Normandy called Saint-Paul or Saint-Pol, from the dedication of their churches to St. Paul (see Paul).
Female
English
English name derived from the vocabulary word, SABLE means "black," as a heraldic color. It is sometimes confused with the mammal of the same name but which has brown fur, not black, and which has a different origin.
Male
Finnish
Finnish form of Greek Sampson, SAMPAA means "like the sun."
SAMPLE COMPLEXITY
SAMPLE COMPLEXITY
Boy/Male
Arabic, Muslim
Messenger; Prophets
Girl/Female
Basque
Lonely.
Boy/Male
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Tamil, Telugu
Night
Boy/Male
Hindu
Pandita skilful scholar
Female
Egyptian
, the daughter of an early unknown king.
Surname or Lastname
English (Devon)
English (Devon) : habitational name from either of two places in Devon called Langworthy, from Old English lang ‘long’ + worðig ‘enclosure’.
Girl/Female
Australian, German, Greek, Swedish
Pure; Torture
Boy/Male
Muslim
The one who praise
Surname or Lastname
English
English : see Wilburn.
Boy/Male
Hindu, Indian, Tamil
King of God Yesu
SAMPLE COMPLEXITY
SAMPLE COMPLEXITY
SAMPLE COMPLEXITY
SAMPLE COMPLEXITY
SAMPLE COMPLEXITY
a.
Not capable of being decomposed into anything more simple or ultimate by any means at present known; elementary; thus, atoms are regarded as simple bodies. Cf. Ultimate, a.
n.
A part of anything presented for inspection, or shown as evidence of the quality of the whole; a specimen; as, goods are often purchased by samples.
v. t.
To sort according to its staple; as, to staple cotton.
v. t. & i.
To rumple; to wrinkle.
a.
Plain; unadorned; as, simple dress.
a.
Pliant; flexible; easily bent; as, supple joints; supple fingers.
a.
Single; not complex; not infolded or entangled; uncombined; not compounded; not blended with something else; not complicated; as, a simple substance; a simple idea; a simple sound; a simple machine; a simple problem; simple tasks.
v. t.
To take or to test a sample or samples of; as, to sample sugar, teas, wools, cloths.
a.
Not contracted of brief; not concise; extended; diffusive; as, an ample narrative.
a.
Without subdivisions; entire; as, a simple stem; a simple leaf.
a.
Direct; clear; intelligible; not abstruse or enigmatical; as, a simple statement; simple language.
v. i.
To gather simples, or medicinal plants.
a.
A medicinal plant; -- so called because each vegetable was supposed to possess its particular virtue, and therefore to constitute a simple remedy.
a.
Not luxurious; without much variety; plain; as, a simple diet; a simple way of living.
n.
Example; pattern.
n.
One who makes up samples for inspection; one who examines samples, or by samples; as, a wool sampler.
v. t.
To build a temple for; to appropriate a temple to; as, to temple a god.
a.
Consisting of a single individual or zooid; as, a simple ascidian; -- opposed to compound.
n.
A pattern; a specimen; especially, a collection of needlework patterns, as letters, borders, etc., to be used as samples, or to display the skill of the worker.
a.
Fully sufficient; abundant; liberal; copious; as, an ample fortune; ample justice.