vector-databases（矢量数据库）

Vector Databases

When to Use This Skill

Use this skill when:

• Choosing between vector database options
• Designing semantic/similarity search systems
• Optimizing vector search performance
• Understanding ANN algorithm trade-offs
• Scaling vector search infrastructure
• Implementing hybrid search (vectors + filters)

Keywords: vector database, embeddings, vector search, similarity search, ANN, approximate nearest neighbor, HNSW, IVF, FAISS, Pinecone, Weaviate, Milvus, Qdrant, Chroma, pgvector, cosine similarity, semantic search

Vector Database Comparison

Managed Services

Self-Hosted Options

Selection Decision Tree

Need managed, don't want operations?
├── Yes → Pinecone (simplest) or Weaviate Cloud
└── No (self-hosted)
    └── Already using PostgreSQL?
        ├── Yes, <1M vectors → pgvector
        └── No
            └── Need maximum performance at scale?
                ├── Yes → Milvus or Qdrant
                └── No
                    └── Prototyping/development?
                        ├── Yes → Chroma
                        └── No → Qdrant (balanced choice)

ANN Algorithms

Algorithm Overview

Exact KNN:
• Search ALL vectors
• O(n) time complexity
• Perfect accuracy
• Impractical at scale

Approximate NN (ANN):
• Search SUBSET of vectors
• O(log n) to O(1) complexity
• Near-perfect accuracy
• Practical at any scale

HNSW (Hierarchical Navigable Small World)

Layer 3: ○───────────────────────○  (sparse, long connections)
          │                       │
Layer 2: ○───○───────○───────○───○  (medium density)
          │   │       │       │   │
Layer 1: ○─○─○─○─○─○─○─○─○─○─○─○─○  (denser)
          │││││││││││││││││││││││
Layer 0: ○○○○○○○○○○○○○○○○○○○○○○○○○  (all vectors)

Search: Start at top layer, greedily descend
• Fast: O(log n) search time
• High recall: >95% typically
• Memory: Extra graph storage

HNSW Parameters:

IVF (Inverted File Index)

Clustering Phase:
┌─────────────────────────────────────────┐
│     Cluster vectors into K centroids    │
│                                         │
│    ●         ●         ●         ●     │
│   /│\       /│\       /│\       /│\    │
│  ○○○○○     ○○○○○     ○○○○○     ○○○○○   │
│ Cluster 1  Cluster 2 Cluster 3 Cluster 4│
└─────────────────────────────────────────┘

Search Phase:
1. Find nprobe nearest centroids
2. Search only those clusters
3. Much faster than exhaustive

IVF Parameters:

IVF-PQ (Product Quantization)

Original Vector (128 dim):
[0.1, 0.2, ..., 0.9]  (128 × 4 bytes = 512 bytes)

PQ Compressed (8 subvectors, 8-bit codes):
[23, 45, 12, 89, 56, 34, 78, 90]  (8 bytes)

Memory reduction: 64x
Accuracy trade-off: ~5% recall drop

Algorithm Comparison

When to Use Which

< 100K vectors:
└── Flat index (exact search is fast enough)

100K - 1M vectors:
└── HNSW (best recall/speed trade-off)

1M - 100M vectors:
├── Memory available → HNSW
└── Memory constrained → IVF-PQ or HNSW+PQ

> 100M vectors:
└── Sharded IVF-PQ or distributed HNSW

Distance Metrics

Common Metrics

Metric Selection

Embeddings pre-normalized (unit vectors)?
├── Yes → Cosine = Dot Product (use Dot, faster)
└── No
    └── Magnitude meaningful?
        ├── Yes → Dot Product
        └── No → Cosine Similarity

Note: Most embedding models output normalized vectors
      → Dot product is usually the best choice

Filtering and Hybrid Search

Pre-filtering vs Post-filtering

Pre-filtering (Filter → Search):
┌─────────────────────────────────────────┐
│ 1. Apply metadata filter               │
│    (category = "electronics")           │
│    Result: 10K of 1M vectors           │
│                                         │
│ 2. Vector search on 10K vectors        │
│    Much faster, guaranteed filter match │
└─────────────────────────────────────────┘

Post-filtering (Search → Filter):
┌─────────────────────────────────────────┐
│ 1. Vector search on 1M vectors         │
│    Return top-1000                      │
│                                         │
│ 2. Apply metadata filter               │
│    May return < K results!             │
└─────────────────────────────────────────┘

Hybrid Search Architecture

Query: "wireless headphones under $100"
           │
     ┌─────┴─────┐
     ▼           ▼
 ┌───────┐  ┌───────┐
 │Vector │  │Filter │
 │Search │  │ Build │
 │"wire- │  │price  │
 │less   │  │< 100  │
 │head-  │  │       │
 │phones"│  │       │
 └───────┘  └───────┘
     │           │
     └─────┬─────┘
           ▼
    ┌───────────┐
    │  Combine  │
    │  Results  │
    └───────────┘

Metadata Index Design

Scaling Strategies

Sharding Approaches

Naive Sharding (by ID):
┌─────────┐ ┌─────────┐ ┌─────────┐
│ Shard 1 │ │ Shard 2 │ │ Shard 3 │
│ IDs 0-N │ │IDs N-2N │ │IDs 2N-3N│
└─────────┘ └─────────┘ └─────────┘
Query → Search ALL shards → Merge results

Semantic Sharding (by cluster):
┌─────────┐ ┌─────────┐ ┌─────────┐
│ Shard 1 │ │ Shard 2 │ │ Shard 3 │
│ Tech    │ │ Health  │ │ Finance │
│ docs    │ │ docs    │ │ docs    │
└─────────┘ └─────────┘ └─────────┘
Query → Route to relevant shard(s) → Faster!

Replication

┌─────────────────────────────────────────┐
│              Load Balancer              │
└─────────────────────────────────────────┘
         │           │           │
         ▼           ▼           ▼
    ┌─────────┐ ┌─────────┐ ┌─────────┐
    │Replica 1│ │Replica 2│ │Replica 3│
    │  (Read) │ │  (Read) │ │  (Read) │
    └─────────┘ └─────────┘ └─────────┘
         │           │           │
         └───────────┼───────────┘
                     │
                ┌─────────┐
                │ Primary │
                │ (Write) │
                └─────────┘

Scaling Decision Matrix

Performance Optimization

Index Build Optimization

Query Optimization

Memory Optimization

Memory per vector:
┌────────────────────────────────────────┐
│ 1536 dims × 4 bytes = 6KB per vector   │
│                                        │
│ 1M vectors:                            │
│   Raw: 6GB                             │
│   + HNSW graph: +2-4GB (M-dependent)   │
│   = 8-10GB total                       │
│                                        │
│ With PQ (64 subquantizers):            │
│   1M vectors: ~64MB                    │
│   = 100x reduction                     │
└────────────────────────────────────────┘

Operational Considerations

Backup and Recovery

Monitoring Metrics

Index Maintenance

┌─────────────────────────────────────────┐
│        Index Maintenance Tasks          │
├─────────────────────────────────────────┤
│ • Compaction: Merge small segments      │
│ • Reindex: Rebuild degraded index       │
│ • Vacuum: Remove deleted vectors        │
│ • Optimize: Tune parameters             │
│                                         │
│ Schedule during low-traffic periods     │
└─────────────────────────────────────────┘

Common Patterns

Multi-Tenant Vector Search

Option 1: Namespace/Collection per tenant
┌─────────────────────────────────────────┐
│ tenant_1_collection                     │
│ tenant_2_collection                     │
│ tenant_3_collection                     │
└─────────────────────────────────────────┘
Pro: Complete isolation
Con: Many indexes, operational overhead

Option 2: Single collection + tenant filter
┌─────────────────────────────────────────┐
│ shared_collection                       │
│   metadata: { tenant_id: "..." }        │
│   Pre-filter by tenant_id               │
└─────────────────────────────────────────┘
Pro: Simpler operations
Con: Requires efficient filtering

Real-Time Updates

Write Path:
┌─────────────┐    ┌─────────────┐    ┌─────────────┐
│   Write     │    │   Buffer    │    │   Merge     │
│   Request   │───▶│   (Memory)  │───▶│   to Index  │
└─────────────┘    └─────────────┘    └─────────────┘

Strategy:
1. Buffer writes in memory
2. Periodically merge to main index
3. Search: main index + buffer
4. Compact periodically

Embedding Versioning

Version 1 embeddings ──┐
                       │
Version 2 embeddings ──┼──▶ Parallel indexes during migration
                       │
                       │    ┌─────────────────────┐
                       └───▶│ Gradual reindexing  │
                            │ Blue-green switch   │
                            └─────────────────────┘

Cost Estimation

Storage Costs

Cost = (vectors × dimensions × bytes × replication) / GB × $/GB/month

Example:
10M vectors × 1536 dims × 4 bytes × 3 replicas = 184 GB
At $0.10/GB/month = $18.40/month storage

Note: Memory (for serving) costs more than storage

Compute Costs

Factors:
• QPS (queries per second)
• Latency requirements
• Index type (HNSW needs more RAM)
• Filtering complexity

Rule of thumb:
• 1M vectors, HNSW, <50ms latency: 16GB RAM
• 10M vectors, HNSW, <50ms latency: 64-128GB RAM
• 100M vectors: Distributed system required

Related Skills

• rag-architecture - Using vector databases in RAG systems
• llm-serving-patterns - LLM inference with vector retrieval
• ml-system-design - End-to-end ML pipeline design
• estimation-techniques - Capacity planning for vector systems

Version History

• v1.0.0 (2025-12-26): Initial release - Vector database patterns for systems design

Last Updated

Date: 2025-12-26