Requirements & Scope
Functional Specifications
- Dynamic BM25 calculation: Extract term frequency (tf) and document length factors to calculate relevance score dynamically.
- Feature Vector Assembly: Integrate BM25 outputs with PageRank, click-through rates (CTR), and publish recency parameters.
- Multi-Factor Model Scoring: Multi-weight re-ranking model combining scores into sorting metrics.
- NDCG Evaluation Checks: Compute dynamic DCG and IDCG metrics against human relevance tags to assess model quality.
Learning-to-Rank System Layout
Entity structure linking document indexes, feature extractors, score models, and quality evaluators:
Design Patterns
- Strategy Pattern (Scoring Models): Isolates model scoring strategies (Linear weights vs tree decision arrays) under unified rankers.
- Decorator Pattern (Feature Augmenters): Incrementally appends new signal checks (PageRank, CTR details) to candidate doc models without modifying parsing layers.
Execution Workflows
Two-Stage Retrieval & Ranking
- Retrieve Candidates: Scan the inverted index to fetch a broad selection of query matches (Stage 1).
- Build Vectors: Compute dynamic BM25 densities and fetch PageRank/CTR profiles for retrieved matches.
- Run Model Scoring: Feed assembled feature vectors into model weight calculations to get final scores (Stage 2).
- Evaluate Quality: Run dynamic NDCG calculations comparing the model's top ranked results against manual relevance ratings.
Clean Code Blueprint
Production reference implementations demonstrating BM25 calculations, linear ranking models, and NDCG@K evaluators:
// ─── JAVA BLUEPRINT ──────────────────────────────────────────────────────────
import java.util.*;
class SearchDocument {
private final String id;
private final String content;
private final double pageRank;
private final double clickThroughRate;
private final long publishTimeMs;
public SearchDocument(String id, String content, double pageRank, double clickThroughRate, long publishTimeMs) {
this.id = id;
this.content = content;
this.pageRank = pageRank;
this.clickThroughRate = clickThroughRate;
this.publishTimeMs = publishTimeMs;
}
public String getId() { return id; }
public String getContent() { return content; }
public double getPageRank() { return pageRank; }
public double getClickThroughRate() { return clickThroughRate; }
public long getPublishTimeMs() { return publishTimeMs; }
}
class FeatureVector {
private final double bm25;
private final double pageRank;
private final double ctr;
private final double recency;
public FeatureVector(double bm25, double pageRank, double ctr, double recency) {
this.bm25 = bm25;
this.pageRank = pageRank;
this.ctr = ctr;
this.recency = recency;
}
public double getBm25() { return bm25; }
public double getPageRank() { return pageRank; }
public double getCtr() { return ctr; }
public double getRecency() { return recency; }
}
interface RankingModel {
double score(FeatureVector features);
}
class LinearRankingModel implements RankingModel {
private final double wBm25;
private final double wPageRank;
private final double wCtr;
private final double wRecency;
public LinearRankingModel(double wBm25, double wPageRank, double wCtr, double wRecency) {
this.wBm25 = wBm25;
this.wPageRank = wPageRank;
this.wCtr = wCtr;
this.wRecency = wRecency;
}
@Override
public double score(FeatureVector features) {
return (features.getBm25() * wBm25) +
(features.getPageRank() * wPageRank) +
(features.getCtr() * wCtr) +
(features.getRecency() * wRecency);
}
}
class BM25Extractor {
private static final double K1 = 1.2;
private static final double B = 0.75;
private static final double AVG_DOC_LENGTH = 15.0;
public static double compute(String query, String docContent) {
String[] qTerms = query.toLowerCase().split("\s+");
String[] dTerms = docContent.toLowerCase().split("\s+");
int docLen = dTerms.length;
double score = 0.0;
for (String qTerm : qTerms) {
int tf = 0;
for (String dTerm : dTerms) {
if (dTerm.equals(qTerm)) tf++;
}
double idf = Math.log(1.0 + (10.0 / (1.0 + tf)));
double tfFactor = (tf * (K1 + 1.0)) / (tf + K1 * (1.0 - B + B * (docLen / AVG_DOC_LENGTH)));
score += idf * tfFactor;
}
return score;
}
}
class NDCGEvaluator {
public static double computeNDCG(List<Integer> relevanceScores, int k) {
if (relevanceScores.isEmpty() || k <= 0) return 0.0;
int limit = Math.min(relevanceScores.size(), k);
double dcg = 0.0;
for (int i = 0; i < limit; i++) {
int rel = relevanceScores.get(i);
dcg += (Math.pow(2, rel) - 1.0) / (Math.log(i + 2) / Math.log(2));
}
List<Integer> ideal = new ArrayList<>(relevanceScores);
ideal.sort(Comparator.reverseOrder());
double idcg = 0.0;
for (int i = 0; i < limit; i++) {
int rel = ideal.get(i);
idcg += (Math.pow(2, rel) - 1.0) / (Math.log(i + 2) / Math.log(2));
}
if (idcg == 0.0) return 0.0;
return dcg / idcg;
}
}
public class Main {
public static void main(String[] args) {
System.out.println("=== LEARNING TO RANK (LTR) SIMULATION ===");
// Setup candidate documents
List<SearchDocument> database = new ArrayList<>();
database.add(new SearchDocument("doc-1", "Machine learning patterns and neural networks are elegant", 0.95, 0.35, 1000L));
database.add(new SearchDocument("doc-2", "Deep learning algorithms and deep network models explain LLD structures", 0.85, 0.22, 2000L));
database.add(new SearchDocument("doc-3", "A recipe to bake delicious pancakes with blueberries", 0.50, 0.05, 500L));
// Ground-truth relevance mapping (manually labeled)
Map<String, Integer> groundTruth = new HashMap<>();
groundTruth.put("doc-1", 3); // Perfect
groundTruth.put("doc-2", 2); // Excellent
groundTruth.put("doc-3", 0); // Irrelevant
String query = "learning network";
System.out.println("Search Query: '" + query + "'");
// Model weights
LinearRankingModel model = new LinearRankingModel(0.4, 0.3, 0.2, 0.1);
System.out.println("Model weights: wBm25=0.4, wPageRank=0.3, wCtr=0.2, wRecency=0.1");
// Feature Extraction and Scoring
class ScoredDoc {
SearchDocument doc;
double score;
ScoredDoc(SearchDocument doc, double score) {
this.doc = doc;
this.score = score;
}
}
List<ScoredDoc> scoredDocs = new ArrayList<>();
for (SearchDocument doc : database) {
double bm25 = BM25Extractor.compute(query, doc.getContent());
double recency = 1.0 / (1.0 + (3000L - doc.getPublishTimeMs()) / 1000.0);
FeatureVector features = new FeatureVector(bm25, doc.getPageRank(), doc.getClickThroughRate(), recency);
double finalScore = model.score(features);
scoredDocs.add(new ScoredDoc(doc, finalScore));
System.out.println("Doc: " + doc.getId() + " | BM25: " + String.format("%.3f", bm25) + " | PageRank: " + doc.getPageRank() + " | CTR: " + doc.getClickThroughRate() + " | Recency: " + String.format("%.3f", recency) + " -> Score: " + String.format("%.3f", finalScore));
}
// Re-ranking
scoredDocs.sort((a, b) -> Double.compare(b.score, a.score));
System.out.println("\n--- RANKED SEARCH RESULTS ---");
List<Integer> activeRelevanceList = new ArrayList<>();
for (int i = 0; i < scoredDocs.size(); i++) {
ScoredDoc sd = scoredDocs.get(i);
int rel = groundTruth.getOrDefault(sd.doc.getId(), 0);
activeRelevanceList.add(rel);
System.out.println((i + 1) + ". " + sd.doc.getId() + " (Score: " + String.format("%.3f", sd.score) + ") [Human Relevance: " + rel + "]");
}
// NDCG Evaluation
double ndcg = NDCGEvaluator.computeNDCG(activeRelevanceList, 3);
System.out.println("\nCalculated Model Quality Metric: NDCG@3 = " + String.format("%.4f", ndcg));
System.out.println("Simulation finished successfully.");
}
}
Interactive Simulator
❖ Learning-to-Rank Search Evaluator
Dynamic BM25 query parsing, click-through rate ratios, and real-time NDCG validation.
⚙️ Scoring Weights Vector
🏆 Model Quality: NDCG@5 Evaluator
Normalized Discounted Cumulative Gain assesses how closely the model's scores match human relevance judgements.
📊 Scored & Ranked Doc Results
Designing a learning to rank search query LLD model with feature weights....
Machine learning algorithms learn patterns from training data features....
Deep neural networks are layers of machine learning nodes....
Search ranking utilizes pagerank vectors alongside classic bm25 matching indexes...
Learn to bake delicious pancakes with maple syrup and fresh blueberries....
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