Fast and extensible pattern mining in R - fuzzy association rules, conditional correlations, and contrast patterns
nuggets is a package for R providing a
fast and extensible framework for discovering interesting patterns in
tabular data. It can find association rules, contrasts, subgroup
patterns, conditional correlations, and other patterns defined by
user-specified evaluation functions. Both Boolean and fuzzy predicates
are supported. Efficient implementation enables pattern discovery on
large and dense data sets. Package includes methods for
visualization and supports interactive exploration through
integrated Shiny applications.
- Association Rules: “University educated people in middle age working in IT have high income” - identify conditions that strongly predict specific outcomes.
- Conditional Correlations: “Study time correlates with test score on hard exams” - discover relationships between variables that only hold under certain conditions .
- Complement Contrasts: “Smokers have lower life expectancy than non-smokers” - find subgroups with significantly different characteristics from the rest.
- Baseline Contrasts: “Measurement error differs from zero when using tool A” - detect when a variable deviates significantly from a baseline under specific conditions.
- Paired Contrasts: “Ice cream sales exceed tea sales on sunny days” – compare paired measurements within specific contexts.
- Custom Patterns: Define your own evaluation functions for specialized pattern mining.
arules is the established R framework for transaction-based
association-rule and frequent-itemset mining. The nuggets package
takes a broader approach: it searches combinations of conditions and
evaluates the observations they select. This makes association rules
just one of several types of patterns that can be discovered.
Key advantages of nuggets include:
- Beyond association rules - discover associations, contrasts, subgroup patterns, conditional correlations, and other patterns defined by your own evaluation function.
- Boolean and fuzzy predicates - work with both crisp conditions and fuzzy predicates, allowing patterns to express gradual concepts such as young, high income, or strongly associated.
- Works naturally with ordinary data frames - search directly in tabular R data rather than requiring the data to be converted into a transaction representation first.
- Numeric and categorical data - combine conditions on different
types of variables and, where appropriate, use
partition()to construct meaningful predicates from numeric or factor variables. - Extensible pattern discovery -
dig()provides a general mechanism for searching candidate conditions and evaluating the resulting subsets of observations with arbitrary user-defined functions. - Fast pattern search - implemented in C++ with performance in mind, including efficient processing of large and dense datasets.
- Visualization - unique tools for visualizing discovered patterns and their relationships.
- Interactive exploration - inspect and explore discovered patterns using the package’s Shiny app.
A lot of effort has been put into optimizing the performance of the package, especially for dense datasets. The core algorithms are implemented in C++ and use single-instruction multiple-data (SIMD) operations to speed up the operations.
On a randomly generated dataset with 1 million rows and 15 columns, association rules with at most 5 items in the antecedent, a support above 0.001, and a confidence above 0.5 were searched. The total times, including reading the data from the CSV file, searching for rules, and writing the result back to CSV, on a Linux desktop computer with standard installations of the packages, were as follows:
nuggets(R, boolean logic): 1.4 sarules- ECLAT (R, boolean logic): 2.9 sarules- Apriori (R, boolean logic): 3.3 s
Fuzzy variant of association rules, which is much more computationally intensive:
nuggets(R, fuzzy logic): 12.0 s
For comparison, two Python libraries performed as follows:
cleverminer(Python, boolean logic): 1m 15.0smlxtend(Python, boolean logic, frequent itemsets only): 4h 11m 22.5s
To install the stable version of nuggets from CRAN, type the following
command within the R session:
install.packages("nuggets", dependencies = TRUE)You can also install the development version of nuggets from
GitHub with:
install.packages("devtools")
devtools::install_github("beerda/nuggets")To start using the package, load it to the R session with:
library(nuggets)The following example demonstrates how to use nuggets to find
association rules in the built-in mtcars dataset:
# Preprocess: dichotomize and fuzzify numeric variables
cars <- mtcars |>
partition(cyl, vs:gear, .method = "dummy") |>
partition(carb, .method = "crisp", .breaks = c(0, 3, 10)) |>
partition(mpg, disp:qsec, .method = "triangle", .breaks = 3)
# Search for associations among conditions
rules <- dig_associations(cars,
antecedent = everything(),
consequent = everything(),
max_length = 4,
min_support = 0.1)
# Add various interest measures
rules <- add_interest(rules)
# Explore the found rules interactively
explore(rules, cars)Read the full documentation of the nuggets package.
The package currently includes the following vignettes:
- nuggets: Get Started
- Data Preparation
- Association Rules
- Conditional Correlations
- Contrast Patterns
- Custom Pattern Search with dig()
Contributions, suggestions, and bug reports are welcome. Please submit issues on GitHub.
This package is licensed under the GPL-3 license.
It includes third-party code licensed under BSD-2-Clause, BSD-3-Clause,
and GPL-2 or later licenses. See inst/COPYRIGHTS for details.
Burda, M. Accelerating Pattern Mining on Fuzzy Data by Packing Truth Values into Blocks of Bits. Applied Soft Computing. 2026, 191 (April 2026), ISSN 1568-4946.

