The Four Paradigms of RAG - A Technical Comparison

Published May 30, 2026 · FastBuilder.AI Engineering Blog
The Four Paradigms of RAG: Vector, Graph, Topology, TurboQuant
Four architectures. One retrieval problem. Radically different answers.

Vector Graph Topology TurboQuant  —  By the FastBuilder.AI Team — May 2026


Every RAG system answers the same fundamental question: given a user query, how do you find the right context to feed an LLM?

The answer depends entirely on how you represent and index your knowledge. The four paradigms below represent four fundamentally different answers — each with distinct strengths, failure modes, and ideal use cases.


Vector Vector RAG

Embeddings + Chunking + Top-K

Vector RAG: a query point retrieves the nearest disconnected chunks from a flat embedding space

How It Works

The classic approach. The one everyone starts with.

  1. Chunk your documents into fixed-size or semantically coherent fragments (512 tokens, paragraph boundaries, sliding windows)
  2. Embed each chunk into a dense vector using an embedding model (OpenAI text-embedding-3-large, Cohere, BGE, etc.)
  3. Index the vectors in a vector store (Pinecone, Weaviate, Qdrant, Chroma, FAISS, etc.)
  4. Query by embedding the user's question and retrieving the top-K nearest vectors by cosine similarity or dot product
  5. Stuff the retrieved chunks into the LLM prompt as context

Strengths

Failure Modes

FailureWhy It Happens
Lost relationshipsChunking destroys cross-document relationships. If fact A is in chunk 17 and its causal relationship to fact B is in chunk 342, top-K retrieval won't link them.
Semantic driftThe query "How does authentication work?" might retrieve 5 chunks that each mention "auth" but from 5 different contexts — login, API keys, OAuth, JWT, certificate pinning — without any structural coherence.
Needle in a haystackRare but critical facts get buried. If the correct answer appears in one chunk among 100,000, cosine similarity may rank it below more "semantically popular" but less accurate chunks.
No reasoning pathYou get similar content, not connected content. There's no traversal, no inference chain, no causal path from query to answer.
Chunk boundary artifactsA critical sentence split across two chunks may never surface because neither half is semantically complete on its own.

Best For


Graph Graph RAG

Microsoft GraphRAG and Similar

Graph RAG: a flat knowledge graph with entity nodes, community clusters, and a highlighted multi-hop traversal path

How It Works

Microsoft GraphRAG introduced a fundamentally different approach: instead of indexing chunks, build a knowledge graph from the corpus first, then query the graph.

  1. Extract entities and relationships from documents using an LLM — people, organizations, events, concepts, and how they connect
  2. Build a knowledge graph with entities as nodes and relationships as edges
  3. Detect communities in the graph using algorithms like Leiden clustering — groups of densely connected entities
  4. Generate community summaries — LLM-produced summaries of what each community represents
  5. Query using two modes:
    • Local search: Start from entities relevant to the query, traverse their neighborhood
    • Global search: Use community summaries for broad, thematic questions

Strengths

Failure Modes

FailureWhy It Happens
LLM extraction qualityThe graph is only as good as the entity/relationship extraction. LLMs hallucinate entities, miss implicit relationships, and struggle with domain-specific content.
Expensive to buildBuilding the graph requires processing every document through an LLM. For a 100K-document corpus, this can cost thousands of dollars and take hours/days.
Static graphThe graph is a snapshot. When documents change, the entire extraction pipeline must re-run. No reliable incremental updates.
Entity resolution"Microsoft", "MSFT", "the Redmond company" — all the same entity. Graph RAG must resolve these and frequently doesn't.
OvergeneralizationCommunity summaries smooth over important nuances. The summary might say "these companies are involved in AI" when the actual relationships are far more specific.
No data-level structureThe graph captures what entities exist and how they relate, but not schemas, access patterns, or event flows.

Best For


Topology Topology RAG

FastMemory / Topology-Based Retrieval

Topology RAG: hierarchical layers of Components, Blocks, Functions, and Data with a glowing wormhole shortcut path ascending and descending through abstraction levels

How It Works

FastMemory takes a third approach: instead of embedding chunks or extracting entity graphs, it builds a topology — a structured, multi-dimensional architectural map of the knowledge space.

  1. Ingest data through actions — every interaction, every fact, every relationship is recorded as a structured event with an Action-Topology Format (ATF)
  2. Build a topology graph where nodes are entities and edges are typed relationships (calls, uses, triggers, depends-on, belongs-to)
  3. Classify every element into a dimensional ontology — for code, this is CBFDAE (Components, Blocks, Functions, Data, Access, Events); for general knowledge, the ontology adapts
  4. Query via graph traversal — not similarity search, but structural navigation. "What depends on X?" traverses the dependency edge.
  5. Ground every citation — a fabrication scrubber verifies that every referenced element actually exists in the topology

Strengths

Failure Modes

FailureWhy It Happens
Cold startThe topology must be built before it's useful. Initial build requires source code analysis or LLM-assisted extraction.
Ontology designThe dimensional classification (CBFDAE or equivalent) must match the domain. A code-optimized ontology won't work for legal documents without adaptation.
Not for free-text similarityIf the query is genuinely "find me documents similar to this paragraph," topology traversal is the wrong tool.

Best For


TurboQuant TurboQuant RAG

TurboVec — Quantized Vector Search

TurboQuant RAG: a diffuse cloud of vectors compressed through a crystalline prism into a compact quantized grid with SIMD parallel search lines

How It Works

TurboVec doesn't change what gets indexed (still embeddings), but radically improves how vectors are stored, compressed, and searched.

Built on Google Research's TurboQuant algorithm — a data-oblivious quantizer that matches the Shannon lower bound on distortion:

  1. Quantize vectors using TurboQuant — no codebook training, no separate train phase
  2. Store at extreme compression — 10M 1536-dim vectors: 31 GB (float32) → ~4 GB (4-bit quantized), ~8x reduction
  3. Search with SIMD kernels — hand-written NEON (ARM) and AVX-512BW (x86) that beat FAISS IndexPQFastScan by 12–20%
  4. Online ingest — add vectors, they're immediately searchable. No rebuilds.
  5. Filtered search — pass an allowlist to search(); the SIMD kernel honours it at block granularity, short-circuiting disallowed blocks before scoring

Strengths

Failure Modes

FailureWhy It Happens
Still vector RAGImproves the infrastructure, not the paradigm. All fundamental limitations of Vector RAG still apply.
Quantization recall trade-offAt 2-bit quantization, recall drops. Practical recall depends on data distribution and bit width.
No structural understandingFinds similar content, not connected content. Cannot answer "What depends on X?"

Best For


Head-to-Head Comparison

Dimension Vector Graph Topology TurboQuant
What gets indexedChunks as embeddingsEntity-relationship graphsMulti-dimensional topology (CBFDAE)Chunks as quantized embeddings
Query paradigmCosine similarity / top-KGraph traversal + community summariesStructural traversal + typed edgesCosine similarity (faster)
Captures relationships❌ No✅ Entities + edges✅ C+B+F+D+A+E❌ No
Multi-hop reasoning❌ No✅ Yes✅ Yes + wormholes❌ No
Incremental updates✅ Simple append❌ Expensive rebuild✅ Real-time✅ Online ingest
Build costLowHigh (LLM extraction)MediumLow
Memory efficiencyBaseline (float32)N/AN/A8x better
Search speedFast (FAISS)Slow (traversal)Medium (structured)Faster than FAISS
Anti-hallucination❌ None❌ None✅ Fabrication scrubber❌ None
Filtered searchPost-processingGraph predicatesTopology predicatesKernel-level SIMD

Deep Dive: Multi-Hop Reasoning and the Wormhole Effect

This is where the four paradigms diverge most dramatically — and where Topology RAG reveals its most powerful structural advantage.

What Is Multi-Hop Reasoning?

A multi-hop query is one where the answer cannot be found in a single document, a single chunk, or a single node. The answer requires traversing a chain of connected facts — hopping from A to B to C to D — where each hop reveals context that the previous hop depends on.

Example: "If we change the authentication token format, what customer-facing features will break?"

Answering this requires:

  1. Hop 1: Find the authentication token module
  2. Hop 2: Find all services that consume authentication tokens
  3. Hop 3: For each consuming service, find what APIs they expose
  4. Hop 4: For each API, find what frontend features depend on it
  5. Hop 5: For each frontend feature, determine if it's customer-facing

That's five hops. Each hop depends on the result of the previous one. No single document contains this answer. No single chunk is semantically similar to it. The answer is distributed across the structure of the system.

Vector Blind to Hops

Vector RAG doesn't hop. It retrieves.

When you embed the query, the embedding model compresses it into a single 1536-dimensional vector. The vector store finds the top-K nearest chunks. What comes back? Probably:

None of these chunks know about each other. None of them link to the downstream services. The retrieval is flat — five islands of similar text floating in an ocean of disconnected embeddings.

Multi-hop capability: Zero. Vector RAG physically cannot perform multi-hop reasoning because its data structure — a flat vector space — has no concept of edges, connections, or traversal paths.

Graph Native Multi-Hop — Until It Isn't

Graph RAG was built for exactly this problem. The knowledge graph encodes entities and relationships as nodes and edges. Multi-hop reasoning is literally graph traversal — follow the edges.

For our auth token query:

  1. Find node AuthTokenModule → follow consumed_by edges → get UserService, PaymentService, NotificationService
  2. For each service → follow exposes edges → get GET /api/user/profile, POST /api/payment/charge, etc.
  3. For each API → follow used_by edges → get ProfilePage, CheckoutFlow, AlertSettings
  4. Filter for customer_facing = true → answer: ProfilePage, CheckoutFlow

This works. For corpora of thousands or tens of thousands of entities, it works well. This is where Graph RAG genuinely shines.

But Graph RAG has a scaling problem that becomes catastrophic at millions of nodes.

The Flat Graph Problem

A knowledge graph is fundamentally flat. Every entity exists at the same level. AuthTokenModule, UserService, ProfilePage, John Smith, Q3 Revenue Report — they're all the same type of thing: a node.

At 10 million nodes, graph traversal faces a combinatorial explosion:

Graph SizeHop 1Hop 2Hop 3Hop 5
1,000 nodes, avg 5 edges5251253,125
100,000 nodes, avg 12 edges121441,728248,832
10,000,000 nodes, avg 20 edges204008,0003,200,000

At 10 million nodes, a 5-hop traversal can touch 3.2 million intermediate nodes. The traversal becomes a breadth-first search through an exploding frontier.

Graph RAG mitigates this with Leiden clustering — but communities are static summaries, not traversable structures. They answer "what is this cluster about?" but cannot answer "what is the shortest path from A to Z through this cluster?"

Graph RAG's multi-hop scales as O(bH) where b = branching factor and H = hops. At enterprise scale, this becomes a wall.

Topology The Wormhole Effect

This is where Topology RAG fundamentally diverges from Graph RAG — and where its architectural insight becomes a scaling superpower.

A topology is not a flat graph. It is a hierarchical, multi-layered structure where concepts exist at different levels of abstraction:

Level 0 (Highest)   ┌─────────────────────────────────┐
  Components        │  AuthSystem    PaymentPlatform   │
                    │  UserMgmt      Notifications     │
                    └─────────┬───────────┬───────────┘
                              │           │
Level 1             ┌─────────┴──┐  ┌─────┴──────────┐
  Blocks            │ TokenEngine│  │ ChargeProcessor │
                    │ SessionMgr │  │ RefundHandler   │
                    └──────┬─────┘  └──────┬──────────┘
                           │               │
Level 2             ┌──────┴──────┐  ┌─────┴──────────┐
  Functions         │ validateTkn │  │ processCharge  │
                    │ refreshTkn  │  │ verifyPayment  │
                    │ revokeTkn   │  │ issueRefund    │
                    └─────────────┘  └────────────────┘
                           │               │
Level 3             ┌──────┴──────┐  ┌─────┴──────────┐
  Data              │ token_schema│  │ charge_record  │
                    │ session_tbl │  │ refund_log     │
                    └─────────────┘  └────────────────┘

The key insight: you don't always need to traverse at the lowest level.

A flat graph must walk through every intermediate function. But a topology can ascend to a higher level, traverse there, and descend to the target:

Instead of:
  validateTkn → refreshTkn → sessionCheck → userLookup → 
  permissionVerify → apiGateway → routeMatch → chargeInit → 
  processCharge
  (9 hops through individual functions)

Topology does:
  validateTkn → [ascend] → AuthSystem → [Component-level edge] → 
  PaymentPlatform → [descend] → processCharge
  (3 hops through abstraction layers)
This is the wormhole.

In physics, a wormhole is a shortcut through spacetime that connects two distant points without traversing the space between them. In a topology, the higher-level abstraction layers serve exactly this role — structural shortcuts that let you jump from one area of the knowledge space to another without walking through every intermediate node.

Why Wormholes Scale

The wormhole effect transforms the computational complexity of multi-hop retrieval:

ApproachTraversal PatternComplexityAt 10M nodes, 5 hops
Vector RAGNo traversal (flat similarity)O(N) scan or O(log N) ANN~10M vectors scored
Graph RAGBreadth-first on flat graphO(bH)~3.2M nodes visited
Topology RAGAscend → traverse → descendO(L × blevel)~200 nodes visited

In a topology with 4 levels (Component → Block → Function → Data), a 5-hop query that would visit 3.2 million nodes in a flat graph can be resolved by:

  1. Ascending from the starting function to its parent Component (~1 hop)
  2. Traversing at the Component level to find the target Component (~1–3 hops across hundreds of Components, not millions of Functions)
  3. Descending from the target Component to the specific Function or Data item (~1–2 hops)

Total: 3–6 hops across a search space of hundreds, not millions.

The Coverage Advantage

The wormhole effect doesn't just make multi-hop faster — it makes it broader.

When a flat graph reaches 5 hops, the combinatorial explosion means you can practically explore only a tiny fraction of the possible paths. You must prune aggressively, which means you miss relevant connections.

A topology's wormholes let you span the entire knowledge space in the same number of hops that a flat graph uses to explore a local neighborhood. At the Component level, 2–3 hops can touch every Component in the system.

Topology RAG outruns other RAG approaches in large-scale multi-hop scenarios. It's not incrementally faster — it's categorically different in its ability to traverse million-node knowledge spaces while maintaining both precision and coverage.

Real-World Example: 10 Million Nodes

Consider an enterprise codebase with 50 Components, 500 Blocks, 50,000 Functions, 200,000 Data items, 500,000 Access paths, and 9,250,000 Events. Total: ~10 million nodes.

Query: "If we deprecate the VSAM file format, what batch jobs will fail and what customer reports will show incorrect data?"

Graph RAG approach (flat graph):

  1. Find VSAM node → follow all read_by and write_by edges → 2,000+ programs
  2. For each program → follow calls edges → 15,000+ functions
  3. For each function → follow triggers edges → 100,000+ events
  4. Filter for batch_job events → 800 candidates
  5. For each batch job → follow produces edges → filter for customer_report → answer

Total nodes visited: ~117,800. Time: minutes. Many false positives.

Topology RAG approach (with wormholes):

  1. Find VSAM in Data layer → ascend to Components that own VSAM access: DataExchange, TransProcessing, AccountActivity (3 Components)
  2. At Component level → follow batch_depends_on edge → BatchScheduler, ReportEngine (2 Components — wormhole skips 117,000 nodes)
  3. Descend into BatchScheduler → get batch jobs: NightlyReconciliation, MonthlyStatement, AuditExport
  4. Descend into ReportEngine → get reports: AccountActivityReport, TransactionSummary

Total nodes visited: ~50. Time: milliseconds. Zero false positives.

The wormhole through the Component layer turned a 117,800-node search into a 50-node search. That's not optimization — that's a paradigm shift.

The Fundamental Insight: These Aren't Competing — They're Complementary

The most powerful RAG architecture isn't one of these four — it's a layered stack that uses the right paradigm at the right level:

APP Application Layer — LLM receives grounded, structured context
TOPOLOGY FastMemory — Structural retrieval: dependencies, events, access patterns, component relationships. Wormhole-enabled multi-hop.
GRAPH GraphRAG — Entity relationships: people, organizations, concepts, causal chains.
VECTOR TurboVec — Semantic similarity: fast, compressed, filtered dense retrieval at scale.

This is the architecture that FastMemory is designed to enable. Not replacing vector search — but layering structural intelligence on top of it.


Conclusion

Vector RAG solved the first-generation retrieval problem: find relevant text fast. Graph RAG solved the second-generation problem: find connected entities across documents. Topology RAG solves the third-generation problem: understand the structural architecture of the knowledge itself. TurboQuant RAG solves the infrastructure problem: make vector search faster, smaller, and local.

The question isn't which one to use. The question is which layers your use case requires.

If you're building a chatbot that answers FAQ-style questions → Vector RAG with TurboVec is sufficient.

If you're doing investigative research across thousands of documents → add Graph RAG.

If you're building AI agents that need to understand code architecture, track dependencies, maintain memory across sessions, and produce grounded, verifiable outputs → you need Topology RAG.

And if you need all three at scale, on your own infrastructure, with quantifiable accuracy → that's what FastMemory is built for.

Try FastMemory at fastbuilder.ai/fastmemory. Build the topology your AI agents deserve.


FastMemory is built by FastBuilder.AI. TurboVec is an open-source project by Ryan Codrai. Microsoft GraphRAG is an open-source project by Microsoft Research. All benchmarks and claims are based on publicly available documentation and papers.