bm25

BM25 assumes that you know the average (meaningful) token count of your documents ahead of time. This crate provides utilities to compute this. If this assumption doesn't hold for your use-case, you have two options: (1) make a sensible guess (e.g. based on a sample); or (2) configure the algorithm to disregard document length. The former is recommended.

BM25 has three parameters: b, k1 and avgdl. These terms match the formula given on Wikipedia. avgdl ('average document length') is the aforementioned average meaningful token count; you should always provide a value for this and the crate can fit this for you. b controls document length normalization; 0 means no normalisation (length will not affect score) while 1 means full normalisation. If you know avgdl, 0.75 is typically a good choice for b. If you're guessing avgdl, you can use a slightly lower b to reduce the effect of document length on score. If you have no idea what avgdl is, set b to 0. k1 controls how much weight is given to recurring tokens. For almost all use-cases, a value of 1.2 is suitable.

Getting started

Add bm25 to your project with

cargo add bm25

Depending on your use-case, you may want to read more about the Embedder, Scorer or SearchEngine.

Embed

You can generate sparse embeddings from text using this crate. You can store and query these in most vector databases, or use them directly. The best way to embed some text is to fit an embedder to your corpus.

use bm25::{Embedder, EmbedderBuilder, Embedding, TokenEmbedding, Language};

let corpus = [
    "The sky blushed pink as the sun dipped below the horizon.",
    "Apples, oranges, papayas, and more papayas.",
    "She found a forgotten letter tucked inside an old book.",
    "A single drop of rain fell, followed by a thousand more.",
];

let embedder: Embedder = EmbedderBuilder::with_fit_to_corpus(Language::English, &corpus).build();

assert_eq!(embedder.avgdl(), 5.75);

let embedding = embedder.embed(corpus[1]);

assert_eq!(
    embedding,
    Embedding(vec![
        TokenEmbedding {
            index: 1777144781,
            value: 1.1422123,
        },
        TokenEmbedding {
            index: 3887370161,
            value: 1.1422123,
        },
        TokenEmbedding {
            index: 2177600299,
            value: 1.5037148,
        },
        TokenEmbedding {
            index: 2177600299,
            value: 1.5037148,
        },
    ])
)

BM25 parameters

For cases where you don't have the full corpus ahead of time, but have an approximate idea of the average meaningful word count you expect, you can construct an embedder with your avgdl guess.

use bm25::{Embedder, EmbedderBuilder};

let embedder: Embedder = EmbedderBuilder::with_avgdl(7.0)
    .build();

If you want to disregard document length altogether, set b to 0.

use bm25::{Embedder, EmbedderBuilder};

let embedder: Embedder = EmbedderBuilder::with_avgdl(1.0)
    .b(0.0) // if b = 0, avgdl has no effect
    .build();

Language

By default, the embedder uses an English DefaultTokenizer. If you are working with a different language, you can configure the embedder to tokenize accordingly.

use bm25::{Embedder, EmbedderBuilder, Language};

let embedder: Embedder = EmbedderBuilder::with_avgdl(256.0)
    .language_mode(Language::German)
    .build();

If your corpus is multilingual, or you don't know the language ahead of time, you can enable the language_detection feature.

cargo add bm25 --features language_detection

This unlocks the LanguageMode::Detect enum value. In this mode, the tokenizer will try to detect the language of each piece of input text before tokenizing. Note that there is a small performance overhead when embedding in this mode.

use bm25::{Embedder, EmbedderBuilder, LanguageMode};

let embedder: Embedder = EmbedderBuilder::with_avgdl(64.0)
    .language_mode(LanguageMode::Detect)
    .build();

Tokenizer

The embedder uses a tokenizer to convert text into a sequence of tokens to embed. The default tokenizer detects language, normalizes unicode, splits on unicode word boundaries, removes stop words and stems the remaining words. You can customise its behaviour by using the builder.

use bm25::{DefaultTokenizer, Language, Tokenizer};

let tokenizer = DefaultTokenizer::builder()
    .language_mode(Language::English)
    .normalization(true) // Normalize unicode (e.g., 'é' -> 'e', '🍕' -> 'pizza', etc.)
    .stopwords(true) // Remove common words with little meaning (e.g., 'the', 'and', 'of', etc.)
    .stemming(true) // Reduce words to their root form (e.g., 'running' -> 'run')
    .build();

let text = "Slices of 🍕";

let tokens = tokenizer.tokenize(text);

// 'slices' is stemmed to 'slice', 'of' is a stopword, and '🍕' is normalized to 'pizza'
assert_eq!(tokens, vec!["slice", "pizza"]);

While this works well for most languages and use-cases, this crate makes it easy for you to provide your own tokenizer. All you have to do is implement the Tokenizer trait.

use bm25::{EmbedderBuilder, Embedding, Tokenizer};

#[derive(Default)]
struct MyTokenizer;

// Tokenize on occurrences of "T"
impl Tokenizer for MyTokenizer {
    fn tokenize(&self, input_text: &str) -> Vec<String> {
        input_text
            .split("T")
            .filter(|s| !s.is_empty())
            .map(str::to_string)
            .collect()
    }
}

let embedder = EmbedderBuilder::<u32, MyTokenizer>::with_avgdl(1.0).build();

let embedding = embedder.embed("CupTofTtea");

assert_eq!(
    embedding.indices().cloned().collect::<Vec<_>>(),
    vec![3568447556, 3221979461, 415655421]
);

If you're not using the DefaultTokenizer at all, you can disable the default_tokenizer feature to remove some dependencies from your project.

cargo add bm25 --no-default-features

Embedding space

You can customise the dimensionality of your sparse vector via the generic parameter. Supported values are usize, u32 and u64. You can also use your own type (and inject your own embedding function) by implementing the TokenEmbedder trait.

use bm25::{EmbedderBuilder, TokenEmbedder};

let text = "cup of tea";

// Embed into a u32-dimensional space
let embedder = EmbedderBuilder::<u32>::with_avgdl(2.0).build();
let embedding = embedder.embed(text);
assert_eq!(
    embedding.indices().cloned().collect::<Vec<_>>(),
    [2070875659, 415655421]
);

// Embed into a u64-dimensional space
let embedder = EmbedderBuilder::<u64>::with_avgdl(2.0).build();
let embedding = embedder.embed(text);
assert_eq!(
    embedding.indices().cloned().collect::<Vec<_>>(),
    [3288102823240002853, 7123809554392261272]
);

#[derive(Eq, PartialEq, Hash, Clone, Debug)]
struct MyType(u32);
impl TokenEmbedder for MyType {
    type EmbeddingSpace = Self;
    fn embed(_token: &str) -> Self {
        MyType(42)
    }
}

// Embed into a MyType-dimensional space
let embedder = EmbedderBuilder::<MyType>::with_avgdl(2.0).build();
let embedding = embedder.embed(text);
assert_eq!(
    embedding.indices().cloned().collect::<Vec<_>>(),
    [MyType(42), MyType(42)]
);

Score

This crate provides a BM25 scorer that can efficiently score the relevance of a query embedding to document embeddings. The scorer manages the complexity of maintaining token frequencies and indexes, as well as the actual scoring. Use this if you need BM25 scoring, but want to manage the lifecycle of raw documents yourself.

use bm25::{Embedder, EmbedderBuilder, Language, Scorer, ScoredDocument};

let corpus = [
    "The sky blushed pink as the sun dipped below the horizon.",
    "She found a forgotten letter tucked inside an old book.",
    "Apples, oranges, pink grapefruits, and more pink grapefruits.",
    "A single drop of rain fell, followed by a thousand more.",
];
let query = "pink";

let mut scorer = Scorer::<usize>::new();

let embedder: Embedder =
    EmbedderBuilder::with_fit_to_corpus(Language::English, &corpus).build();

for (i, document) in corpus.iter().enumerate() {
    let document_embedding = embedder.embed(document);
    scorer.upsert(&i, document_embedding);
}

let query_embedding = embedder.embed(query);

let score = scorer.score(&0, &query_embedding);
assert_eq!(score, Some(0.7046783));

let matches = scorer.matches(&query_embedding);
assert_eq!(
    matches,
    vec![
        ScoredDocument {
            id: 2,
            score: 0.9639215
        },
        ScoredDocument {
            id: 0,
            score: 0.7046783
        }
    ]
);

Search

This crate includes a light-weight, in-memory keyword search engine built on top of the embedder and scorer. See bm25-demo for a WebAssembly demo.

use bm25::{Document, Language, SearchEngineBuilder, SearchResult};

let corpus = [
    "The rabbit munched the orange carrot.",
    "The snake hugged the green lizard.",
    "The hedgehog impaled the orange orange.",
    "The squirrel buried the brown nut.",
];

let search_engine = SearchEngineBuilder::<u32>::with_corpus(Language::English, corpus).build();

let limit = 3;
let search_results = search_engine.search("orange", limit);

assert_eq!(
    search_results,
    vec![
        SearchResult {
            document: Document {
                id: 2,
                contents: String::from("The hedgehog impaled the orange orange."),
            },
            score: 0.9530774,
        },
        SearchResult {
            document: Document {
                id: 0,
                contents: String::from("The rabbit munched the orange carrot."),
            },
            score: 0.6931472,
        },
    ]
);

You can construct a search engine with documents (allowing you to customise the id type and value), or with an average document length.

use bm25::{Document, Language, SearchEngineBuilder};

// Build a search engine from documents
let search_engine = SearchEngineBuilder::<&str>::with_documents(
    Language::English,
    [
        Document {
            id: "Guacamole",
            contents: String::from("avocado, lime juice, salt, onion, tomatoes, coriander."),
        },
        Document {
            id: "Hummus",
            contents: String::from("chickpeas, tahini, olive oil, garlic, lemon juice, salt."),
        },
    ],
)
.build();

// Build a search engine from avgdl
let search_engine = SearchEngineBuilder::<u32>::with_avgdl(128.0)
    .build();

You can upsert or remove documents from the search engine. Note that mutating the search corpus by upserting or removing documents will change the true value of avgdl. The more avgdl drifts from its true value, the less accurate the BM25 scores will be.

use bm25::{Document, SearchEngineBuilder};

let mut search_engine = SearchEngineBuilder::<u32>::with_avgdl(10.0)
    .build();

let document_id = 42;
let document = Document {
    id: document_id,
    contents: String::from(
        "A breeze carried the scent of blooming jasmine through the open window.",
    ),
};

search_engine.upsert(document.clone());
assert_eq!(search_engine.get(&document_id), Some(document));

search_engine.remove(&document_id);
assert_eq!(search_engine.get(&document_id), None);

Working with a large corpus

If your corpus is large, fitting an embedder can be slow. Fortunately, you can trivially parallelise this via the parallelism feature, which implements data parallelism using Rayon.

cargo add bm25 --features parallelism

License

MIT License