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    AI

    Methods to Construct a Matryoshka-Optimized Sentence Embedding Mannequin for Extremely-Quick Retrieval with 64-Dimension Truncation

    Naveed AhmadBy Naveed Ahmad12/02/2026Updated:12/02/2026No Comments5 Mins Read
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    On this tutorial, we fine-tune a Sentence-Transformers embedding mannequin utilizing Matryoshka Illustration Studying in order that the earliest dimensions of the vector carry essentially the most helpful semantic sign. We practice with MatryoshkaLoss on triplet knowledge after which validate the important thing promise of MRL by benchmarking retrieval high quality after truncating embeddings to 64, 128, and 256 dimensions. On the finish, we save the tuned mannequin and show how you can load it with a small truncate_dim setting for quick and memory-efficient vector search. Try the FULL CODES here.

    !pip -q set up -U sentence-transformers datasets speed up
    
    
    import math
    import random
    import numpy as np
    import torch
    
    
    from datasets import load_dataset
    from torch.utils.knowledge import DataLoader
    
    
    from sentence_transformers import SentenceTransformer, InputExample
    from sentence_transformers import losses
    from sentence_transformers.util import cos_sim
    
    
    
    
    def set_seed(seed=42):
       random.seed(seed)
       np.random.seed(seed)
       torch.manual_seed(seed)
       torch.cuda.manual_seed_all(seed)
    
    
    set_seed(42)

    We set up the required libraries and import all the mandatory modules for coaching and analysis. We set a deterministic seed, so our sampling and coaching conduct keep constant throughout runs. We additionally guarantee PyTorch and CUDA RNGs are aligned when a GPU is out there. Try the FULL CODES here.

    @torch.no_grad()
    def retrieval_metrics_mrr_recall_at_k(
       mannequin,
       queries,
       corpus,
       qrels,
       dims_list=(64, 128, 256, None),
       okay=10,
       batch_size=64,
    ):
       system = "cuda" if torch.cuda.is_available() else "cpu"
       mannequin.to(system)
    
    
       qids = checklist(queries.keys())
       docids = checklist(corpus.keys())
    
    
       q_texts = [queries[qid] for qid in qids]
       d_texts = [corpus[did] for did in docids]
    
    
       q_emb = mannequin.encode(q_texts, batch_size=batch_size, convert_to_tensor=True, normalize_embeddings=True)
       d_emb = mannequin.encode(d_texts, batch_size=batch_size, convert_to_tensor=True, normalize_embeddings=True)
    
    
       outcomes = {}
    
    
       for dim in dims_list:
           if dim is None:
               qe = q_emb
               de = d_emb
               dim_name = "full"
           else:
               qe = q_emb[:, :dim]
               de = d_emb[:, :dim]
               dim_name = str(dim)
               qe = torch.nn.useful.normalize(qe, p=2, dim=1)
               de = torch.nn.useful.normalize(de, p=2, dim=1)
    
    
           sims = cos_sim(qe, de)
    
    
           mrr_total = 0.0
           recall_total = 0.0
    
    
           for i, qid in enumerate(qids):
               rel = qrels.get(qid, set())
               if not rel:
                   proceed
    
    
               topk = torch.topk(sims[i], okay=min(okay, sims.form[1]), largest=True).indices.tolist()
               topk_docids = [docids[j] for j in topk]
    
    
               recall_total += 1.0 if any(d in rel for d in topk_docids) else 0.0
    
    
               rr = 0.0
               for rank, d in enumerate(topk_docids, begin=1):
                   if d in rel:
                       rr = 1.0 / rank
                       break
               mrr_total += rr
    
    
           denom = max(1, len(qids))
           outcomes[dim_name] = {f"MRR@{okay}": mrr_total / denom, f"Recall@{okay}": recall_total / denom}
    
    
       return outcomes
    
    
    
    
    def pretty_print(outcomes, title):
       print("n" + "=" * 80)
       print(title)
       print("=" * 80)
       for dim, metrics in outcomes.objects():
           print(f"dim={dim:>4} | " + " | ".be part of([f"{k}={v:.4f}" for k, v in metrics.items()]))

    We implement a light-weight retrieval evaluator that encodes queries and paperwork, computes cosine similarity, and reviews MRR@10 and Recall@10. We re-normalize embeddings after truncation so smaller prefixes stay comparable in cosine house. We additionally added a compact printer to make earlier than/after comparisons straightforward to learn. Try the FULL CODES here.

    DATASET_ID = "sentence-transformers/msmarco-co-condenser-margin-mse-sym-mnrl-mean-v1"
    SUBSET = "triplet-hard"
    SPLIT = "practice"
    
    
    TRAIN_SAMPLES = 4000
    EVAL_QUERIES = 300
    
    
    stream = load_dataset(DATASET_ID, SUBSET, cut up=SPLIT, streaming=True)
    
    
    train_examples = []
    eval_queries = {}
    eval_corpus = {}
    eval_qrels = {}
    
    
    doc_id_counter = 0
    qid_counter = 0
    
    
    for row in stream:
       q = (row.get("question") or "").strip()
       pos = (row.get("constructive") or "").strip()
       neg = (row.get("unfavorable") or "").strip()
    
    
       if not q or not pos or not neg:
           proceed
    
    
       train_examples.append(InputExample(texts=[q, pos, neg]))
    
    
       if len(eval_queries) < EVAL_QUERIES:
           qid = f"q{qid_counter}"
           qid_counter += 1
    
    
           pos_id = f"d{doc_id_counter}"; doc_id_counter += 1
           neg_id = f"d{doc_id_counter}"; doc_id_counter += 1
    
    
           eval_queries[qid] = q
           eval_corpus[pos_id] = pos
           eval_corpus[neg_id] = neg
           eval_qrels[qid] = {pos_id}
    
    
       if len(train_examples) >= TRAIN_SAMPLES and len(eval_queries) >= EVAL_QUERIES:
           break
    
    
    print(len(train_examples), len(eval_queries), len(eval_corpus))

    We stream a mined MS MARCO triplet dataset and construct each a coaching set (queries, positives, negatives) and a tiny IR benchmark set. We map every question to a related constructive doc and embrace a unfavorable doc to make retrieval significant. We cease early to maintain the run Colab-friendly whereas nonetheless giant sufficient to indicate truncation results.

    MODEL_ID = "BAAI/bge-base-en-v1.5"
    
    
    system = "cuda" if torch.cuda.is_available() else "cpu"
    mannequin = SentenceTransformer(MODEL_ID, system=system)
    full_dim = mannequin.get_sentence_embedding_dimension()
    
    
    baseline = retrieval_metrics_mrr_recall_at_k(
       mannequin,
       queries=eval_queries,
       corpus=eval_corpus,
       qrels=eval_qrels,
       dims_list=(64, 128, 256, None),
       okay=10,
    )
    pretty_print(baseline, "BEFORE")

    We load a robust base embedding mannequin and file its full embedding dimension. We run the baseline analysis throughout 64/128/256/full dimensions to see how truncation behaves earlier than any coaching. We print the outcomes so we will later evaluate whether or not MRL improves the early-dimension high quality.

    batch_size = 16
    epochs = 1
    warmup_steps = 100
    
    
    train_loader = DataLoader(train_examples, batch_size=batch_size, shuffle=True, drop_last=True)
    
    
    base_loss = losses.MultipleNegativesRankingLoss(mannequin=mannequin)
    
    
    mrl_dims = [full_dim, 512, 256, 128, 64] if full_dim >= 768 else [full_dim, 256, 128, 64]
    mrl_loss = losses.MatryoshkaLoss(
       mannequin=mannequin,
       loss=base_loss,
       matryoshka_dims=mrl_dims
    )
    
    
    mannequin.match(
       train_objectives=[(train_loader, mrl_loss)],
       epochs=epochs,
       warmup_steps=warmup_steps,
       show_progress_bar=True,
    )
    
    
    after = retrieval_metrics_mrr_recall_at_k(
       mannequin,
       queries=eval_queries,
       corpus=eval_corpus,
       qrels=eval_qrels,
       dims_list=(64, 128, 256, None),
       okay=10,
    )
    pretty_print(after, "AFTER")
    
    
    out_dir = "mrl-msmarco-demo"
    mannequin.save(out_dir)
    
    
    m64 = SentenceTransformer(out_dir, truncate_dim=64)
    emb = m64.encode(
       ["what is the liberal arts?", "liberal arts covers humanities and sciences"],
       normalize_embeddings=True
    )
    print(emb.form)

    We create a MultipleNegativesRankingLoss and wrap it with MatryoshkaLoss utilizing a descending checklist of goal prefix dimensions. We fine-tune the mannequin on the triplets, then re-run the identical truncation benchmark to measure the development in retention. Additionally, we save the mannequin and reload it with truncate_dim=64 to substantiate sensible utilization for compact retrieval.

    In conclusion, we efficiently skilled a Matryoshka-optimized embedding mannequin that maintains sturdy retrieval efficiency even once we truncate vectors to small prefix dimensions, corresponding to 64. We verified the impact by evaluating baseline versus post-training retrieval metrics throughout a number of truncation sizes and the total embedding. With the saved mannequin and the truncate_dim loading sample, we now have a clear workflow for constructing smaller, sooner vector indexes whereas protecting the choice to rerank with full-dimensional embeddings.


    Try the FULL CODES here. Additionally, be at liberty to observe us on Twitter and don’t neglect to hitch our 100k+ ML SubReddit and Subscribe to our Newsletter. Wait! are you on telegram? now you can join us on telegram as well.




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    Naveed Ahmad

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