dahl-salso 0.6.9

The SALSO algorithm is an efficient greedy search procedure to obtain a clustering estimate based on a partition loss function. The algorithm is implemented for many loss functions, including the Binder loss and a generalization of the variation of information loss, both of which allow for unequal weights on the two types of clustering mistakes. Efficient implementations are also provided for Monte Carlo estimation of the posterior expected loss of a given clustering estimate. SALSO was first presented at the workshop 'Bayesian Nonparametric Inference: Dependence Structures and their Applications' in Oaxaca, Mexico on December 6, 2017.
Documentation
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use crate::*;

use crate::optimize::CMLossComputer;
use ndarray::Array3;
use rand::Rng;
use rand::RngExt;
use std::collections::HashMap;

#[derive(Debug, Clone)]
pub struct Clusterings {
    n_clusterings: usize,
    n_items: usize,
    labels: Vec<LabelType>,
    n_clusters: Vec<LabelType>,
    max_clusters: LabelType,
}

impl Clusterings {
    pub fn unvalidated(
        n_clusterings: usize,
        n_items: usize,
        labels: Vec<LabelType>,
        n_clusters: Vec<LabelType>,
    ) -> Self {
        assert_eq!(
            n_clusterings
                .checked_mul(n_items)
                .expect("n_clusterings * n_items overflowed"),
            labels.len()
        );
        assert_eq!(n_clusterings, n_clusters.len());
        let max_clusters = *n_clusters.iter().max().unwrap();
        Self {
            n_clusterings,
            n_items,
            labels,
            n_clusters,
            max_clusters,
        }
    }

    pub fn from_i32_column_major_order(original_labels: &[i32], n_items: usize) -> Self {
        assert!(n_items > 0, "n_items must be positive");
        assert_eq!(
            original_labels.len() % n_items,
            0,
            "original_labels.len() must be divisible by n_items"
        );
        let n_clusterings = original_labels.len() / n_items;
        let mut labels = Vec::with_capacity(n_clusterings * n_items);
        let mut n_clusters = Vec::with_capacity(n_clusterings);
        let mut map = HashMap::new();
        let mut max_clusters = 0;
        for i in 0..n_clusterings {
            map.clear();
            let mut next_new_label = 0;
            for j in 0..n_items {
                let c = *map
                    .entry(original_labels[j * n_clusterings + i])
                    .or_insert_with(|| {
                        let c = next_new_label;
                        next_new_label += 1;
                        c
                    });
                labels.push(c);
            }
            n_clusters.push(next_new_label);
            if next_new_label > max_clusters {
                max_clusters = next_new_label
            }
        }
        Self {
            n_clusterings,
            n_items,
            labels,
            n_clusters,
            max_clusters,
        }
    }

    pub fn make_confusion_matrices(&self, state: &WorkingClustering) -> Array3<CountType> {
        let mut cms = Array3::<CountType>::zeros((
            state.max_clusters() as usize + 1,
            self.max_clusters() as usize,
            self.n_clusterings(),
        ));
        for item_index in 0..self.n_items {
            let state_index = state.get(item_index) as usize + 1;
            for draw_index in 0..self.n_clusterings() {
                let other_index = self.label(draw_index, item_index) as usize;
                cms[(0, other_index, draw_index)] += 1;
                cms[(state_index, other_index, draw_index)] += 1;
            }
        }
        cms
    }

    pub fn n_clusterings(&self) -> usize {
        self.n_clusterings
    }

    pub fn n_items(&self) -> usize {
        self.n_items
    }

    pub fn label(&self, draw_index: usize, item_index: usize) -> LabelType {
        assert!(
            draw_index < self.n_clusterings,
            "draw_index {draw_index} out of bounds for {} clusterings",
            self.n_clusterings
        );
        assert!(
            item_index < self.n_items,
            "item_index {item_index} out of bounds for {} items",
            self.n_items
        );
        unsafe {
            *self
                .labels
                .get_unchecked(draw_index * self.n_items + item_index)
        }
    }

    pub fn labels(&self, draw_index: usize) -> &[LabelType] {
        &self.labels[draw_index * self.n_items..(draw_index + 1) * self.n_items]
    }

    pub fn n_clusters(&self, draw_index: usize) -> LabelType {
        assert!(
            draw_index < self.n_clusterings,
            "draw_index {draw_index} out of bounds for {} clusterings",
            self.n_clusterings
        );
        unsafe { *self.n_clusters.get_unchecked(draw_index) }
    }

    pub fn max_clusters(&self) -> LabelType {
        self.max_clusters
    }

    pub fn mean_and_sd_of_n_clusters(&self) -> (f64, f64) {
        let ndf = self.n_clusterings as f64;
        let (sum1, sum2) = self.n_clusters.iter().fold((0.0, 0.0), |(s1, s2), x| {
            let x = *x as f64;
            (s1 + x, s2 + x * x)
        });
        let mean = sum1 / ndf;
        let sd = ((sum2 - sum1 * sum1 / ndf) / (ndf - 1.0)).sqrt();
        (mean, sd)
    }
}

#[cfg(test)]
mod tests {
    use super::Clusterings;

    fn example_clusterings() -> Clusterings {
        Clusterings::from_i32_column_major_order(&[1, 1, 2, 2], 2)
    }

    #[test]
    fn from_i32_column_major_order_constructs_expected_clusterings() {
        let clusterings = example_clusterings();
        assert_eq!(clusterings.n_clusterings(), 2);
        assert_eq!(clusterings.n_items(), 2);
        assert_eq!(clusterings.label(0, 0), 0);
        assert_eq!(clusterings.label(0, 1), 1);
        assert_eq!(clusterings.label(1, 0), 0);
        assert_eq!(clusterings.label(1, 1), 1);
        assert_eq!(clusterings.n_clusters(0), 2);
        assert_eq!(clusterings.n_clusters(1), 2);
    }

    #[test]
    #[should_panic(expected = "n_items must be positive")]
    fn from_i32_column_major_order_rejects_zero_items() {
        let _ = Clusterings::from_i32_column_major_order(&[1, 2, 3], 0);
    }

    #[test]
    #[should_panic(expected = "original_labels.len() must be divisible by n_items")]
    fn from_i32_column_major_order_rejects_non_divisible_input() {
        let _ = Clusterings::from_i32_column_major_order(&[1, 2, 3], 2);
    }

    #[test]
    #[should_panic(expected = "draw_index")]
    fn label_rejects_out_of_bounds_draw_index() {
        let clusterings = example_clusterings();
        let _ = clusterings.label(clusterings.n_clusterings(), 0);
    }

    #[test]
    #[should_panic(expected = "item_index")]
    fn label_rejects_out_of_bounds_item_index() {
        let clusterings = example_clusterings();
        let _ = clusterings.label(0, clusterings.n_items());
    }

    #[test]
    #[should_panic(expected = "draw_index")]
    fn n_clusters_rejects_out_of_bounds_draw_index() {
        let clusterings = example_clusterings();
        let _ = clusterings.n_clusters(clusterings.n_clusterings());
    }

    #[test]
    #[should_panic(expected = "n_clusterings * n_items overflowed")]
    fn unvalidated_rejects_overflowing_shape() {
        let _ = Clusterings::unvalidated(usize::MAX, 2, Vec::new(), Vec::new());
    }
}

#[derive(Debug, Clone)]
pub struct WorkingClustering {
    labels: Vec<LabelType>,
    max_clusters: LabelType,
    sizes: Vec<CountType>,
    occupied_clusters: Vec<LabelType>,
    potentially_empty_label: LabelType,
}

impl WorkingClustering {
    pub fn empty(n_items: usize, max_clusters: LabelType) -> Self {
        let max_clusters = max_clusters.max(1);
        let sizes = vec![0; max_clusters as usize];
        let occupied_clusters = Vec::with_capacity(max_clusters as usize);
        Self {
            labels: vec![0; n_items],
            max_clusters,
            sizes,
            occupied_clusters,
            potentially_empty_label: 0,
        }
    }

    pub fn random<T: Rng>(n_items: usize, max_clusters: LabelType, rng: &mut T) -> Self {
        let labels = Self::sample_1tok(n_items, max_clusters, rng);
        WorkingClustering::from_vector(labels, max_clusters)
    }

    pub fn random_as_rf<T: Rng>(
        n_items: usize,
        max_clusters: LabelType,
        max_clusters_observed: LabelType,
        rng: &mut T,
    ) -> Self {
        let labels = Self::sample_1tok(n_items, max_clusters, rng);
        let a = WorkingClustering::from_vector(labels, max_clusters);
        let labels = a.standardize();
        let max_clusters =
            max_clusters_observed.max(*labels.iter().max().unwrap() as LabelType + 1);
        WorkingClustering::from_vector(labels, max_clusters)
    }

    fn sample_1tok<T: Rng>(n_items: usize, max_clusters: LabelType, rng: &mut T) -> Vec<LabelType> {
        let mut v = Vec::with_capacity(n_items);
        v.resize_with(n_items, || rng.random_range(0..max_clusters));
        v
    }

    pub fn one_cluster(n_items: usize, max_clusters: LabelType) -> Self {
        WorkingClustering::from_vector(vec![0; n_items], max_clusters)
    }

    pub fn from_slice(labels: &[LabelType], max_clusters: LabelType) -> Self {
        Self::from_vector(labels.to_vec(), max_clusters)
    }

    pub fn from_vector(labels: Vec<LabelType>, max_clusters: LabelType) -> Self {
        let max_clusters = max_clusters.max(1);
        let mut x = Self {
            labels,
            max_clusters,
            sizes: vec![0; max_clusters as usize],
            occupied_clusters: Vec::with_capacity(max_clusters as usize),
            potentially_empty_label: 0,
        };
        for label in &x.labels {
            x.sizes[*label as usize] += 1;
        }
        for (index, size) in x.sizes.iter().enumerate() {
            if *size > 0 {
                x.occupied_clusters.push(index as LabelType)
            }
        }
        x
    }

    pub fn n_items(&self) -> CountType {
        self.labels.len() as CountType
    }

    pub fn occupied_clusters(&self) -> &Vec<LabelType> {
        &self.occupied_clusters
    }

    pub fn label_of_empty_cluster(&mut self) -> Option<LabelType> {
        if self.occupied_clusters.len() >= self.max_clusters as usize {
            None
        } else if self.sizes[self.potentially_empty_label as usize] == 0 {
            Some(self.potentially_empty_label)
        } else {
            match self.sizes.iter().position(|&size| size == 0) {
                Some(index) => {
                    self.potentially_empty_label = index as LabelType;
                    Some(self.potentially_empty_label)
                }
                None => None,
            }
        }
    }

    pub fn clone_labels(&self) -> Vec<LabelType> {
        self.labels.clone()
    }

    pub fn standardize(&self) -> Vec<LabelType> {
        let n_items = self.labels.len();
        let mut labels = Vec::with_capacity(n_items);
        let mut map = HashMap::new();
        let mut next_new_label = 0;
        for j in 0..n_items {
            let c = *map.entry(self.labels[j]).or_insert_with(|| {
                let c = next_new_label;
                next_new_label += 1;
                c
            });
            labels.push(c);
        }
        labels
    }

    pub fn as_slice(&self) -> &[LabelType] {
        &self.labels[..]
    }

    pub fn max_clusters(&self) -> LabelType {
        self.max_clusters
    }

    pub fn n_clusters(&self) -> LabelType {
        self.occupied_clusters.len() as LabelType
    }

    pub fn size_of(&self, label: LabelType) -> CountType {
        self.sizes[label as usize]
    }

    pub fn get(&self, item_index: usize) -> LabelType {
        self.labels[item_index]
    }

    /// # Safety
    ///
    /// There is no checking for the `item_index`.
    pub unsafe fn get_unchecked(&self, item_index: usize) -> LabelType {
        unsafe { *self.labels.get_unchecked(item_index) }
    }

    pub fn assign<T: CMLossComputer>(
        &mut self,
        item_index: usize,
        label: LabelType,
        loss_computer: &mut T,
        cms: &mut Array3<CountType>,
        draws: &Clusterings,
    ) {
        loss_computer.decision_callback(item_index, Some(label), None, self, cms, draws);
        self.labels[item_index] = label;
        if self.sizes[label as usize] == 0 {
            self.occupied_clusters.push(label);
        }
        self.sizes[label as usize] += 1;
        let to_index = label as usize + 1;
        for draw_index in 0..draws.n_clusterings() {
            let other_index = draws.label(draw_index, item_index) as usize;
            cms[(0, other_index, draw_index)] += 1;
            cms[(to_index, other_index, draw_index)] += 1;
        }
    }

    /*
    pub unsafe fn assign_unchecked(&mut self, item_index: usize, label: LabelType) {
        *self.labels.get_unchecked_mut(item_index) = label;
        if *self.sizes.get_unchecked(label as usize) == 0 {
            self.occupied_clusters.push(label);
        }
        *self.sizes.get_unchecked_mut(label as usize) += 1;
    }
    */

    pub fn reassign<T: CMLossComputer>(
        &mut self,
        item_index: usize,
        new_label: LabelType,
        loss_computer: &mut T,
        cms: &mut Array3<CountType>,
        draws: &Clusterings,
    ) {
        let old_label = self.labels[item_index];
        if new_label != old_label {
            loss_computer.decision_callback(
                item_index,
                Some(new_label),
                Some(old_label),
                self,
                cms,
                draws,
            );
            self.labels[item_index] = new_label;
            self.sizes[old_label as usize] -= 1;
            if self.sizes[old_label as usize] == 0 {
                self.occupied_clusters.swap_remove(
                    self.occupied_clusters
                        .iter()
                        .position(|x| *x == old_label)
                        .unwrap(),
                );
            }
            if self.sizes[new_label as usize] == 0 {
                self.occupied_clusters.push(new_label);
            }
            self.sizes[new_label as usize] += 1;
            let to_index = new_label as usize + 1;
            let from_index = old_label as usize + 1;
            for draw_index in 0..draws.n_clusterings() {
                let other_index = draws.label(draw_index, item_index) as usize;
                cms[(from_index, other_index, draw_index)] -= 1;
                cms[(to_index, other_index, draw_index)] += 1;
            }
        }
    }

    /*
    pub unsafe fn reassign_unchecked(&mut self, item_index: usize, new_label: LabelType) {
        let old_label = *self.labels.get_unchecked(item_index);
        if new_label != old_label {
            *self.labels.get_unchecked_mut(item_index) = new_label;
            *self.sizes.get_unchecked_mut(old_label as usize) -= 1;
            if *self.sizes.get_unchecked(old_label as usize) == 0 {
                self.occupied_clusters.swap_remove(
                    self.occupied_clusters
                        .iter()
                        .position(|x| *x == old_label)
                        .unwrap(),
                );
            }
            if *self.sizes.get_unchecked(new_label as usize) == 0 {
                self.occupied_clusters.push(new_label);
            }
            *self.sizes.get_unchecked_mut(new_label as usize) += 1;
        }
    }
    */

    pub fn remove<T: CMLossComputer>(
        &mut self,
        item_index: usize,
        loss_computer: &mut T,
        cms: &mut Array3<CountType>,
        draws: &Clusterings,
    ) {
        let old_label = self.labels[item_index];
        loss_computer.decision_callback(item_index, None, Some(old_label), self, cms, draws);
        self.sizes[old_label as usize] -= 1;
        if self.sizes[old_label as usize] == 0 {
            self.occupied_clusters.swap_remove(
                self.occupied_clusters
                    .iter()
                    .position(|x| *x == old_label)
                    .unwrap(),
            );
        }
        let from_index = old_label as usize + 1;
        for draw_index in 0..draws.n_clusterings() {
            let other_index = draws.label(draw_index, item_index) as usize;
            cms[(0, other_index, draw_index)] -= 1;
            cms[(from_index, other_index, draw_index)] -= 1;
        }
    }

    /*
    pub unsafe fn remove_unchecked(&mut self, item_index: usize) {
        let old_label = *self.labels.get_unchecked(item_index);
        *self.sizes.get_unchecked_mut(old_label as usize) -= 1;
        if *self.sizes.get_unchecked(old_label as usize) == 0 {
            self.occupied_clusters.swap_remove(
                self.occupied_clusters
                    .iter()
                    .position(|x| *x == old_label)
                    .unwrap(),
            );
        }
    }
    */
}