Hybrid Memory: Vector + Graph + KV

Learning Objectives

• Explain why a single store (vector only, graph only, KV only) is insufficient for agent memory.
• Name Mem0's three parallel stores and what each one optimizes for.
• Describe Mem0's fusion scoring — relevance, importance, recency — and why it is a weighted sum, not a hierarchy.
• Implement a toy three-store memory in stdlib with an add() that writes to all three and a search() that fuses results.

The Problem

Each store is right for only one of three query classes:

• Semantic similarity — "what did we discuss about agent drift last week?" Vector wins; KV and graph miss.
• Fact lookup — "what is the user's phone number?" KV wins; vector is wasteful, graph is overkill.
• Relationship reasoning — "which customers share the same billing entity?" Graph wins; vector and KV cannot answer.

Production agents issue all three in one session. A single-store memory is always wrong for two of them. Mem0's contribution is wiring all three behind a single add/search surface with a scoring function that fuses them.

The Concept

Three stores in parallel

Mem0 (arXiv:2504.19413, April 2025) on add(text, user_id, metadata):

1. Extract candidate facts from the text (an LLM-driven step).
2. Write each fact to the vector store (embedding) for semantic search.
3. Write each fact to the KV store keyed on (user_id, fact_type, entity) for $O(1)$ lookup.
4. Write each fact to the graph store (Mem0g) as typed edges for relationship queries.

On search(query, user_id):

1. Vector store returns top-k by embedding cosine.
2. KV store returns direct hits keyed on query-derived (user_id, type, entity).
3. Graph store returns subgraph reachable from query entities.
4. A scoring layer fuses the three.

Fusion scoring

score = w_relevance * relevance(q, record)
      + w_importance * importance(record)
      + w_recency * recency(record)

• Relevance — vector cosine, KV exact match, graph path weight.
• Importance — tagged at write time or learned (some facts matter more: names, IDs, policies).
• Recency — exponential decay over time since last write or read.

Weights are tuned per product. Higher w_recency for chat agents; higher w_importance for compliance agents; higher w_relevance for retrieval agents.

Mem0g and temporal reasoning

Mem0g adds a conflict detector. When a new fact contradicts an existing edge, the existing edge is marked invalid but not deleted. Temporal queries ("what was the user's city in March?") traverse the valid-at-time subgraph.

This is the compliance-grade behavior Letta's invalidation pattern generalizes.

Benchmark numbers

The Mem0 paper reports (2025):

• LoCoMo (long-form conversation memory): 91.6
• LongMemEval (long-horizon episodic memory): 93.4
• BEAM 1M (1M-token memory benchmark): 64.1

Comparison baselines (full-context 128k LLM, flat vector store, flat KV) all lose by 10+ points. Benchmarks alone don't justify choice — operational shape does — but the numbers show the fusion design is not a rounding error.

Scope taxonomy

Mem0 splits memory by scope:

• User memory — persists across sessions, keyed on user_id.
• Session memory — persists within one thread.
• Agent memory — per-agent instance state.

Every write picks one scope. Retrieval can query across scopes with per-scope weights. Mixing scopes without thought is how you get "the assistant told Alice about Bob's project" incidents.

Where this pattern goes wrong

• Embedding drift. Vector results that look right on the first hundred queries degrade as the corpus grows. Add periodic re-embedding of the top-N-used records.
• KV schema creep. (user_id, type, entity) looks simple until every team adds their own type. Audit the type set quarterly.
• Graph explosion. One noisy extractor adds 50 edges per message. Cap graph writes per add call; drop low-confidence edges.

ae-memory-fusion

Build It

code/main.py implements the three-store pattern in stdlib:

• VectorStore — naive token-overlap similarity as an embedding stand-in.
• KVStore — dict keyed on (user_id, fact_type, entity).
• GraphStore — typed edges (subject, relation, object, valid).
• Mem0 — top-level facade with add(), search(), fusion scoring, and scope-aware retrieval.
• A worked trace on a multi-user, multi-session conversation.

Run it:

python3 code/main.py

The output shows three separate recall paths plus the fused top-k. Flip the scoring weights at the top of main() and watch the ranking change.

Use It

• Mem0 (Apache 2.0) — production-ready. Self-host with Postgres + Qdrant + Neo4j, or use the managed cloud.
• Letta — three-tier core/recall/archival; bring your own vector and graph backends.
• Zep — commercial alternative with temporal KG and fact extraction.
• Custom builds — when you need exact control over the extractor (compliance) or fusion weights (voice agents where recency dominates).

Ship It

outputs/skill-hybrid-memory.md generates a three-store memory scaffold with a fusion scorer, scope taxonomy, and temporal invalidation wired in.

Exercises

1. Replace the toy vector similarity with a real embedding model (sentence-transformers, Ollama, OpenAI embeddings). Measure recall@10 on a synthetic long conversation. Does the ranking drift over 1000 writes?
2. Add a temporal query: search(query, as_of=timestamp). Return only records valid at or before that time. Which store needs the most work?
3. Implement a conflict detector: if an incoming fact contradicts a graph edge, invalidate the old edge and log both. Test on "user lives in Berlin" -> "user lives in Lisbon."
4. Port the fusion scorer to include a user_feedback dimension (thumbs-up on retrieved records). How do you prevent gaming (the agent only returns records it already liked)?
5. Read the Mem0 docs (docs.mem0.ai). Port the toy to mem0 client calls. Compare retrieval quality on the same 20 test queries.

Key Terms

Further Reading

• Chhikara et al., Mem0 (arXiv:2504.19413) — the original paper
• Mem0 docs — production API, SDKs, managed cloud
• Packer et al., MemGPT (arXiv:2310.08560) — the virtual-context predecessor
• Letta, Memory Blocks blog — the three-tier sibling design