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type: UntypedNote
mentions: Home_markov_embeddings_and_rag

SCHEMA_markov_embeddings_and_rag
type: Reference
mentions: Home_markov_embeddings_and_rag
mentions: Page-Name
mentions: Parent-Page
up: Home_markov_embeddings_and_rag

log_markov_embeddings_and_rag
type: Index
mentions: Answer-Chunks
mentions: BM25-Energy-Drift
mentions: Bridge-Entity
mentions: Chain-Sanity-Test-Harness
mentions: Claims-Plus-Walk
mentions: Decomposer-Quality-Analysis
mentions: Dense-RAG-Scale-Collapse
mentions: Drift-Variants-MuSiQue
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Entity-Overlap-Ranking
mentions: Experiment-Specification
mentions: Extraction-Retrieval-Co-Design
mentions: Heterogeneous-Graph
mentions: Home_markov_embeddings_and_rag
mentions: HotpotQA-Benchmark
mentions: Independent-vs-Chained-Retrieval
mentions: Iterative-Chained-RAG
mentions: Iterative-NL-SPARQL
mentions: Markov-Chain-v5c2
mentions: Markov-Retrieval-Tutorial
mentions: MiniLM-Embeddings
mentions: MuSiQue-Benchmark
mentions: MuSiQue-Journey-History
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Operations-Basis
mentions: Operator-Spanning-Set
mentions: Path-Length-Decomposition
mentions: Per-Question-Energy
mentions: Question-Projection
mentions: Question-Projection-Retrieval-Vision
mentions: RAG-Sanity-Check
mentions: README
mentions: README-Summary
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Softmax-Normalization
mentions: Three-Retrieval-Modes
mentions: Trajectory-Length-Argument
mentions: Tutorial-Corpus
mentions: Tutorial-Figures
mentions: Tutorial-PDF-Summary
mentions: Tutorial-Queries
mentions: Typed-Predicate-Ontology
mentions: Uniform-Similarity-Chain
mentions: V5c2-Gold-Rank-Positions
mentions: Vanilla-RAG-Failure-Mode
mentions: WIKI-INDEX
mentions: energy-based-drift-doc
mentions: experiment-spec-doc
mentions: index_markov_embeddings_and_rag
mentions: question-projection-doc
mentions: tutorial-pdf
up: Home_markov_embeddings_and_rag

Dense-RAG-Scale-Collapse
type: Synthesis
criticizes: RAG-Sanity-Check
extends: V5c2-Gold-Rank-Positions
mentions: Claims-Plus-Walk
mentions: Markov-Chain-v5c2
mentions: MuSiQue-Benchmark
mentions: RAG-Sanity-Check
mentions: V5c2-Gold-Rank-Positions
mentions: Vanilla-RAG-Failure-Mode
related: Claims-Plus-Walk
related: Markov-Chain-v5c2
related: MuSiQue-Benchmark
related: RAG-Sanity-Check
related: V5c2-Gold-Rank-Positions
related: Vanilla-RAG-Failure-Mode
tag: dense-rag
tag: distractors
tag: headline
tag: musique
tag: results
tag: retrieval
tag: scaling
up: V5c2-Gold-Rank-Positions

MuSiQue-Journey-History
type: Synthesis
mentions: BM25-Energy-Drift
mentions: Chain-Sanity-Test-Harness
mentions: Drift-Variants-MuSiQue
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Softmax-Normalization
related: BM25-Energy-Drift
related: Drift-Variants-MuSiQue
related: MuSiQue-PoC-Results
related: Softmax-Normalization
tag: history
tag: journey
tag: linear-norm
tag: methodology
tag: musique
tag: sweeps
up: MuSiQue-PoC-Results

Uniform-Similarity-Chain
type: Synthesis
mentions: Drift-Variants-MuSiQue
mentions: Heterogeneous-Graph
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Operations-Basis
mentions: Random-Walk-With-Restart
related: Drift-Variants-MuSiQue
related: Heterogeneous-Graph
related: MuSiQue-PoC-Results
related: Named-Entity-Concept-Extraction
related: Random-Walk-With-Restart
tag: controlled-test
tag: design-principle
tag: empirical
tag: musique
tag: object-agnostic
tag: results
tag: uniform-chain
up: MuSiQue-PoC-Results

Decomposer-Quality-Analysis
type: Synthesis
mentions: Iterative-Chained-RAG
mentions: Operations-Basis
mentions: Operator-Spanning-Set
mentions: Typed-Predicate-Ontology
related: Iterative-Chained-RAG
related: Operations-Basis
related: Operator-Spanning-Set
related: Typed-Predicate-Ontology
tag: decomposer
tag: decomposition-quality
tag: llm-judge
tag: musique
tag: operator-basis
up: Iterative-Chained-RAG

README-Summary
type: SourceSummary
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: MiniLM-Embeddings
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
mentions: Tutorial-Figures
mentions: Tutorial-PDF-Summary
related: Markov-Retrieval-Tutorial
source: README
tag: entry-point
tag: overview
tag: readme
up: index_markov_embeddings_and_rag

V5c2-Gold-Rank-Positions
type: Synthesis
extends: Markov-Chain-v5c2
mentions: Dense-RAG-Scale-Collapse
mentions: Markov-Chain-v5c2
mentions: MuSiQue-Benchmark
mentions: Path-Length-Decomposition
mentions: Trajectory-Length-Argument
related: Markov-Chain-v5c2
related: MuSiQue-Benchmark
related: Path-Length-Decomposition
related: Trajectory-Length-Argument
tag: diagnostic
tag: gold-rank
tag: musique
tag: results
tag: retrieval
tag: v5c2
up: Markov-Chain-v5c2

index_markov_embeddings_and_rag
type: Index
mentions: Answer-Chunks
mentions: BM25-Energy-Drift
mentions: Bridge-Entity
mentions: Chain-Sanity-Test-Harness
mentions: Claims-Plus-Walk
mentions: Decomposer-Quality-Analysis
mentions: Dense-RAG-Scale-Collapse
mentions: Drift-Variants-MuSiQue
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Entity-Overlap-Ranking
mentions: Experiment-Specification
mentions: Extraction-Retrieval-Co-Design
mentions: Heterogeneous-Graph
mentions: Home_markov_embeddings_and_rag
mentions: HotpotQA-Benchmark
mentions: Independent-vs-Chained-Retrieval
mentions: Iterative-Chained-RAG
mentions: Iterative-NL-SPARQL
mentions: Markov-Chain-v5c2
mentions: Markov-Retrieval-Tutorial
mentions: MiniLM-Embeddings
mentions: MuSiQue-Benchmark
mentions: MuSiQue-Journey-History
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Operations-Basis
mentions: Operator-Spanning-Set
mentions: Path-Length-Decomposition
mentions: Per-Question-Energy
mentions: Question-Projection
mentions: Question-Projection-Retrieval-Vision
mentions: RAG-Sanity-Check
mentions: README-Summary
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Softmax-Normalization
mentions: Three-Retrieval-Modes
mentions: Trajectory-Length-Argument
mentions: Tutorial-Corpus
mentions: Tutorial-Figures
mentions: Tutorial-PDF-Summary
mentions: Tutorial-Queries
mentions: Typed-Predicate-Ontology
mentions: Uniform-Similarity-Chain
mentions: V5c2-Gold-Rank-Positions
mentions: Vanilla-RAG-Failure-Mode
up: Home_markov_embeddings_and_rag

Claims-Plus-Walk
type: Synthesis
extends: Markov-Chain-v5c2
extends: Operations-Basis
mentions: Bridge-Entity
mentions: Decomposer-Quality-Analysis
mentions: Independent-vs-Chained-Retrieval
mentions: Iterative-NL-SPARQL
mentions: Markov-Chain-v5c2
mentions: Operations-Basis
mentions: Operator-Spanning-Set
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
mentions: Trajectory-Length-Argument
mentions: Typed-Predicate-Ontology
related: Bridge-Entity
related: Independent-vs-Chained-Retrieval
related: Iterative-NL-SPARQL
related: Operator-Spanning-Set
related: Path-Length-Decomposition
related: Random-Walk-With-Restart
related: Trajectory-Length-Argument
related: Typed-Predicate-Ontology
tag: claims
tag: entity-resolution
tag: markov-chain
tag: musique
tag: operations-basis
tag: proposal
tag: propositions
tag: retrieval
up: Markov-Chain-v5c2

Drift-Variants-MuSiQue
type: Synthesis
mentions: BM25-Energy-Drift
mentions: MuSiQue-Benchmark
mentions: MuSiQue-PoC-Results
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Softmax-Normalization
related: BM25-Energy-Drift
related: MuSiQue-PoC-Results
related: Random-Walk-With-Restart
related: Softmax-Normalization
tag: design-principles
tag: drift
tag: empirical
tag: musique
tag: product-chain
tag: results
tag: simdrift
up: MuSiQue-PoC-Results

Entity-Overlap-Ranking
type: Concept
mentions: MuSiQue-PoC-Results
mentions: Operations-Basis
mentions: Operator-Spanning-Set
related: MuSiQue-PoC-Results
related: Operations-Basis
related: Operator-Spanning-Set
tag: empirical
tag: entity-overlap
tag: independent-hop
tag: musique
tag: ranking
tag: sparql
up: Operator-Spanning-Set

Home_markov_embeddings_and_rag
type: Index
mentions: Answer-Chunks
mentions: BM25-Energy-Drift
mentions: Bridge-Entity
mentions: Chain-Sanity-Test-Harness
mentions: Decomposer-Quality-Analysis
mentions: Drift-Variants-MuSiQue
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Entity-Overlap-Ranking
mentions: Experiment-Specification
mentions: Extraction-Retrieval-Co-Design
mentions: Heterogeneous-Graph
mentions: HotpotQA-Benchmark
mentions: Independent-vs-Chained-Retrieval
mentions: Iterative-Chained-RAG
mentions: Iterative-NL-SPARQL
mentions: Markov-Chain-v5c2
mentions: Markov-Retrieval-Tutorial
mentions: MiniLM-Embeddings
mentions: MuSiQue-Benchmark
mentions: MuSiQue-Journey-History
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Operations-Basis
mentions: Operator-Spanning-Set
mentions: Path-Length-Decomposition
mentions: Per-Question-Energy
mentions: Question-Projection
mentions: Question-Projection-Retrieval-Vision
mentions: RAG-Sanity-Check
mentions: README-Summary
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: SCHEMA_markov_embeddings_and_rag
mentions: Softmax-Normalization
mentions: Three-Retrieval-Modes
mentions: Trajectory-Length-Argument
mentions: Tutorial-Corpus
mentions: Tutorial-Figures
mentions: Tutorial-PDF-Summary
mentions: Tutorial-Queries
mentions: Typed-Predicate-Ontology
mentions: Uniform-Similarity-Chain
mentions: Vanilla-RAG-Failure-Mode
mentions: index_markov_embeddings_and_rag
mentions: log_markov_embeddings_and_rag
up: WIKI-INDEX

RAG-Sanity-Check
type: Synthesis
mentions: Dense-RAG-Scale-Collapse
mentions: Entity-Overlap-Ranking
mentions: Independent-vs-Chained-Retrieval
mentions: Operations-Basis
mentions: Typed-Predicate-Ontology
related: Entity-Overlap-Ranking
related: Independent-vs-Chained-Retrieval
related: Operations-Basis
related: Typed-Predicate-Ontology
tag: baselines
tag: dense-retrieval
tag: musique
tag: rag
tag: sanity-check
tag: sparql
up: Typed-Predicate-Ontology

Iterative-NL-SPARQL
type: Synthesis
criticizes: Typed-Predicate-Ontology
extends: Iterative-Chained-RAG
mentions: Decomposer-Quality-Analysis
mentions: Extraction-Retrieval-Co-Design
mentions: Iterative-Chained-RAG
mentions: Markov-Chain-v5c2
mentions: Operations-Basis
mentions: Typed-Predicate-Ontology
related: Decomposer-Quality-Analysis
related: Extraction-Retrieval-Co-Design
related: Iterative-Chained-RAG
related: Operations-Basis
related: Typed-Predicate-Ontology
tag: distillation
tag: fallback-ladder
tag: iterative
tag: musique
tag: ontology-free
tag: sparql
up: Iterative-Chained-RAG

MiniLM-Embeddings
type: Concept
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: Random-Walk-With-Restart
mentions: Vanilla-RAG-Failure-Mode
related: Heterogeneous-Graph
related: Vanilla-RAG-Failure-Mode
tag: embeddings
tag: encoder
tag: model
up: Markov-Retrieval-Tutorial

Tutorial-Figures
type: Entity
mentions: Bridge-Entity
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
mentions: Tutorial-Corpus
mentions: Tutorial-PDF-Summary
mentions: Tutorial-Queries
related: Path-Length-Decomposition
tag: diagnostics
tag: figures
tag: output
up: Markov-Retrieval-Tutorial

Independent-vs-Chained-Retrieval
type: Synthesis
mentions: Claims-Plus-Walk
mentions: Entity-Overlap-Ranking
mentions: Operations-Basis
mentions: Operator-Spanning-Set
related: Entity-Overlap-Ranking
related: Operations-Basis
related: Operator-Spanning-Set
tag: chained
tag: independent
tag: musique
tag: retrieval-architecture
tag: sparql
tag: trade-offs
up: Operator-Spanning-Set

Iterative-Chained-RAG
type: Synthesis
mentions: Decomposer-Quality-Analysis
mentions: Extraction-Retrieval-Co-Design
mentions: Home_markov_embeddings_and_rag
mentions: Independent-vs-Chained-Retrieval
mentions: Iterative-NL-SPARQL
mentions: Markov-Chain-v5c2
mentions: Operations-Basis
mentions: RAG-Sanity-Check
mentions: Typed-Predicate-Ontology
related: Independent-vs-Chained-Retrieval
related: Operations-Basis
related: RAG-Sanity-Check
related: Typed-Predicate-Ontology
tag: chained
tag: final-answer-accuracy
tag: iterative
tag: llm-extraction
tag: musique
tag: rag
up: RAG-Sanity-Check

Chain-Sanity-Test-Harness
type: Entity
mentions: BM25-Energy-Drift
mentions: Energy-Based-Drift
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: MuSiQue-Benchmark
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Softmax-Normalization
mentions: Trajectory-Length-Argument
mentions: log_markov_embeddings_and_rag
related: BM25-Energy-Drift
related: Path-Length-Decomposition
related: Random-Walk-With-Restart
related: Restart-Probability
tag: invariants
tag: musique
tag: sanity-tests
tag: testing
tag: validation
up: Markov-Retrieval-Tutorial

Tutorial-Corpus
type: Entity
mentions: Answer-Chunks
mentions: Bridge-Entity
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: Tutorial-PDF-Summary
mentions: Tutorial-Queries
mentions: Vanilla-RAG-Failure-Mode
related: Bridge-Entity
related: Heterogeneous-Graph
related: Tutorial-Queries
tag: corpus
tag: data
tag: manufacturing
up: Markov-Retrieval-Tutorial

Tutorial-Queries
type: Entity
mentions: Bridge-Entity
mentions: Markov-Retrieval-Tutorial
mentions: Path-Length-Decomposition
mentions: Tutorial-Corpus
mentions: Tutorial-Figures
mentions: Tutorial-PDF-Summary
mentions: Vanilla-RAG-Failure-Mode
related: Bridge-Entity
related: Path-Length-Decomposition
related: Tutorial-Corpus
tag: evaluation
tag: findings
tag: queries
up: Markov-Retrieval-Tutorial

HotpotQA-Benchmark
type: Entity
mentions: BM25-Energy-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Experiment-Specification
mentions: Markov-Retrieval-Tutorial
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
related: BM25-Energy-Drift
related: Energy-Based-Drift-Paper-Direction
related: Experiment-Specification
tag: benchmark
tag: dataset
tag: multi-hop
tag: qa
tag: wikipedia
up: Experiment-Specification

Tutorial-PDF-Summary
type: SourceSummary
mentions: Bridge-Entity
mentions: Extraction-Retrieval-Co-Design
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: Path-Length-Decomposition
mentions: README-Summary
mentions: Random-Walk-With-Restart
mentions: Tutorial-Corpus
mentions: Tutorial-Figures
mentions: Tutorial-Queries
mentions: Vanilla-RAG-Failure-Mode
related: Markov-Retrieval-Tutorial
related: README-Summary
source: tutorial-pdf
tag: primary-artifact
tag: tutorial
tag: writeup
up: index_markov_embeddings_and_rag

Markov-Chain-v5c2
type: Synthesis
extends: Iterative-NL-SPARQL
mentions: Claims-Plus-Walk
mentions: Energy-Based-Drift
mentions: Heterogeneous-Graph
mentions: Iterative-NL-SPARQL
mentions: MuSiQue-PoC-Results
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
mentions: Softmax-Normalization
mentions: Trajectory-Length-Argument
mentions: V5c2-Gold-Rank-Positions
related: Heterogeneous-Graph
related: Iterative-NL-SPARQL
related: MuSiQue-PoC-Results
related: Path-Length-Decomposition
related: Random-Walk-With-Restart
related: Softmax-Normalization
related: Trajectory-Length-Argument
tag: canonical-entities
tag: headline
tag: markov-chain
tag: musique
tag: retrieval
tag: rwr
up: Iterative-NL-SPARQL

Named-Entity-Concept-Extraction
type: Synthesis
mentions: Bridge-Entity
mentions: Heterogeneous-Graph
mentions: MuSiQue-Benchmark
mentions: MuSiQue-PoC-Results
mentions: Softmax-Normalization
mentions: Vanilla-RAG-Failure-Mode
related: Bridge-Entity
related: Heterogeneous-Graph
related: MuSiQue-Benchmark
related: MuSiQue-PoC-Results
related: Softmax-Normalization
tag: bridge-mechanism
tag: concept-extraction
tag: corpus-pipeline
tag: ner
tag: spacy
up: MuSiQue-Benchmark

Typed-Predicate-Ontology
type: Synthesis
mentions: Entity-Overlap-Ranking
mentions: Independent-vs-Chained-Retrieval
mentions: Iterative-Chained-RAG
mentions: MuSiQue-PoC-Results
mentions: Operations-Basis
mentions: Operator-Spanning-Set
related: Entity-Overlap-Ranking
related: Independent-vs-Chained-Retrieval
related: Operations-Basis
related: Operator-Spanning-Set
tag: breakthrough
tag: musique
tag: ontology
tag: predicate-grounding
tag: sparql
tag: vocabulary-alignment
up: Operator-Spanning-Set

Operator-Spanning-Set
type: Concept
mentions: training set analysis
mentions: Operations-Basis
related: MuSiQue-PoC-Results
related: Operations-Basis
related: Question-Projection
tag: hop-counting
tag: operations-basis
tag: query-construction
tag: sparql
tag: type-signatures
up: Operations-Basis

Per-Question-Energy
type: Concept
mentions: Answer-Chunks
mentions: BM25-Energy-Drift
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Extraction-Retrieval-Co-Design
mentions: Question-Projection
mentions: Question-Projection-Retrieval-Vision
mentions: Three-Retrieval-Modes
related: Answer-Chunks
related: Energy-Based-Drift
related: Question-Projection
related: Three-Retrieval-Modes
tag: energy-based-models
tag: extraction
tag: formal-questions
tag: summary-statistics
up: Question-Projection-Retrieval-Vision

Three-Retrieval-Modes
type: Concept
mentions: Answer-Chunks
mentions: BM25-Energy-Drift
mentions: Energy-Based-Drift
mentions: Extraction-Retrieval-Co-Design
mentions: Markov-Retrieval-Tutorial
mentions: Per-Question-Energy
mentions: Question-Projection
mentions: Question-Projection-Retrieval-Vision
mentions: Random-Walk-With-Restart
related: Answer-Chunks
related: Energy-Based-Drift
related: Question-Projection
related: Random-Walk-With-Restart
tag: architecture
tag: modes
tag: query-time
tag: retrieval
up: Question-Projection-Retrieval-Vision

Vanilla-RAG-Failure-Mode
type: Concept
mentions: Bridge-Entity
mentions: Extraction-Retrieval-Co-Design
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: MiniLM-Embeddings
mentions: Random-Walk-With-Restart
mentions: Tutorial-PDF-Summary
related: Bridge-Entity
related: Heterogeneous-Graph
related: MiniLM-Embeddings
tag: embeddings
tag: failure-mode
tag: motivation
tag: rag
up: Markov-Retrieval-Tutorial

Answer-Chunks
type: Concept
extends: Heterogeneous-Graph
mentions: Extraction-Retrieval-Co-Design
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: Per-Question-Energy
mentions: Question-Projection
mentions: Question-Projection-Retrieval-Vision
mentions: Three-Retrieval-Modes
mentions: Tutorial-Corpus
related: Extraction-Retrieval-Co-Design
related: Per-Question-Energy
related: Question-Projection
tag: answer-chunks
tag: architecture
tag: chunks
tag: extraction
tag: question-driven
up: Question-Projection-Retrieval-Vision

Extraction-Retrieval-Co-Design
type: Synthesis
mentions: Answer-Chunks
mentions: Bridge-Entity
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: Per-Question-Energy
mentions: Question-Projection
mentions: Question-Projection-Retrieval-Vision
mentions: Random-Walk-With-Restart
mentions: Three-Retrieval-Modes
mentions: Tutorial-PDF-Summary
mentions: Tutorial-Queries
mentions: Vanilla-RAG-Failure-Mode
related: Answer-Chunks
related: Bridge-Entity
related: Heterogeneous-Graph
related: Question-Projection
related: Vanilla-RAG-Failure-Mode
supports: Markov-Retrieval-Tutorial
tag: architecture
tag: design-principle
tag: extraction
tag: retrieval
up: Markov-Retrieval-Tutorial

Question-Projection
type: Concept
mentions: Answer-Chunks
mentions: Energy-Based-Drift
mentions: Extraction-Retrieval-Co-Design
mentions: Markov-Retrieval-Tutorial
mentions: Per-Question-Energy
mentions: Question-Projection-Retrieval-Vision
mentions: Three-Retrieval-Modes
related: Answer-Chunks
related: Energy-Based-Drift
related: Per-Question-Energy
related: Three-Retrieval-Modes
tag: basis-set
tag: discovery
tag: energy-based-models
tag: projection
tag: query-time
up: Question-Projection-Retrieval-Vision

Experiment-Specification
type: SourceSummary
mentions: Answer-Chunks
mentions: BM25-Energy-Drift
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: HotpotQA-Benchmark
mentions: Markov-Retrieval-Tutorial
mentions: Path-Length-Decomposition
mentions: Question-Projection-Retrieval-Vision
mentions: Random-Walk-With-Restart
mentions: Trajectory-Length-Argument
related: BM25-Energy-Drift
related: Energy-Based-Drift
related: Energy-Based-Drift-Paper-Direction
related: HotpotQA-Benchmark
related: Random-Walk-With-Restart
related: Trajectory-Length-Argument
source: experiment-spec-doc
tag: benchmarks
tag: bm25
tag: drift
tag: experiment
tag: hotpotqa
tag: paper
up: index_markov_embeddings_and_rag

Softmax-Normalization
type: Concept
mentions: BM25-Energy-Drift
mentions: Chain-Sanity-Test-Harness
mentions: Heterogeneous-Graph
mentions: MuSiQue-Benchmark
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
related: MuSiQue-PoC-Results
related: Path-Length-Decomposition
related: Random-Walk-With-Restart
related: Restart-Probability
tag: breakthrough
tag: normalization
tag: pi0
tag: softmax
tag: temperature
tag: transition-matrix
up: Random-Walk-With-Restart

Bridge-Entity
type: Concept
mentions: Claims-Plus-Walk
mentions: Extraction-Retrieval-Co-Design
mentions: Heterogeneous-Graph
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
mentions: Tutorial-Corpus
mentions: Tutorial-PDF-Summary
mentions: Tutorial-Queries
mentions: Vanilla-RAG-Failure-Mode
related: Heterogeneous-Graph
related: Tutorial-Corpus
related: Vanilla-RAG-Failure-Mode
tag: corpus-structure
tag: graph
tag: retrieval
tag: vocabulary
up: Markov-Retrieval-Tutorial

Energy-Based-Drift-Paper-Direction
type: SourceSummary
mentions: BM25-Energy-Drift
mentions: Energy-Based-Drift
mentions: Experiment-Specification
mentions: Heterogeneous-Graph
mentions: HotpotQA-Benchmark
mentions: Markov-Retrieval-Tutorial
mentions: Path-Length-Decomposition
mentions: Per-Question-Energy
mentions: Question-Projection-Retrieval-Vision
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Trajectory-Length-Argument
related: BM25-Energy-Drift
related: Energy-Based-Drift
related: Experiment-Specification
related: Path-Length-Decomposition
related: Question-Projection-Retrieval-Vision
related: Random-Walk-With-Restart
related: Trajectory-Length-Argument
source: energy-based-drift-doc
tag: drift
tag: energy-based-models
tag: langevin
tag: paper
tag: research-direction
up: index_markov_embeddings_and_rag

MuSiQue-Benchmark
type: Entity
mentions: BM25-Energy-Drift
mentions: Chain-Sanity-Test-Harness
mentions: HotpotQA-Benchmark
mentions: Markov-Retrieval-Tutorial
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Softmax-Normalization
mentions: Trajectory-Length-Argument
related: BM25-Energy-Drift
related: HotpotQA-Benchmark
related: MuSiQue-PoC-Results
related: Trajectory-Length-Argument
tag: benchmark
tag: dataset
tag: multi-hop
tag: musique
tag: qa
tag: wikipedia
up: Markov-Retrieval-Tutorial

Question-Projection-Retrieval-Vision
type: SourceSummary
mentions: Answer-Chunks
mentions: BM25-Energy-Drift
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Experiment-Specification
mentions: Extraction-Retrieval-Co-Design
mentions: Markov-Retrieval-Tutorial
mentions: Per-Question-Energy
mentions: Question-Projection
mentions: Three-Retrieval-Modes
related: Answer-Chunks
related: Energy-Based-Drift-Paper-Direction
related: Per-Question-Energy
related: Question-Projection
related: Three-Retrieval-Modes
source: question-projection-doc
tag: architecture
tag: discovery
tag: question-driven
tag: research-direction
tag: vision
up: index_markov_embeddings_and_rag

Restart-Probability
type: Concept
mentions: BM25-Energy-Drift
mentions: Chain-Sanity-Test-Harness
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: MuSiQue-Benchmark
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
mentions: Softmax-Normalization
mentions: Trajectory-Length-Argument
mentions: Tutorial-Figures
mentions: Tutorial-PDF-Summary
mentions: Tutorial-Queries
related: Path-Length-Decomposition
related: Random-Walk-With-Restart
tag: calibration
tag: hop-range
tag: hyperparameter
tag: rwr
up: Random-Walk-With-Restart

Operations-Basis
type: Synthesis
mentions: Claims-Plus-Walk
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: MuSiQue-Benchmark
mentions: MuSiQue-PoC-Results
mentions: Operator-Spanning-Set
mentions: Per-Question-Energy
mentions: Question-Projection
mentions: Question-Projection-Retrieval-Vision
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Three-Retrieval-Modes
mentions: Uniform-Similarity-Chain
related: MuSiQue-PoC-Results
related: Per-Question-Energy
related: Question-Projection
related: Question-Projection-Retrieval-Vision
related: Three-Retrieval-Modes
related: Uniform-Similarity-Chain
tag: architecture
tag: decomposition
tag: future-direction
tag: ontology
tag: operations-basis
tag: query-planning
up: Markov-Retrieval-Tutorial

Trajectory-Length-Argument
type: Concept
extends: Energy-Based-Drift
mentions: BM25-Energy-Drift
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Experiment-Specification
mentions: HotpotQA-Benchmark
mentions: MuSiQue-Benchmark
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Softmax-Normalization
related: BM25-Energy-Drift
related: Energy-Based-Drift
related: Experiment-Specification
related: Path-Length-Decomposition
related: Random-Walk-With-Restart
related: Restart-Probability
supports: Energy-Based-Drift
tag: drift
tag: motivation
tag: paper-argument
tag: query-coupling
tag: trajectory
up: Energy-Based-Drift-Paper-Direction

Energy-Based-Drift
type: Concept
extends: Random-Walk-With-Restart
mentions: BM25-Energy-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Experiment-Specification
mentions: Heterogeneous-Graph
mentions: MuSiQue-PoC-Results
mentions: Path-Length-Decomposition
mentions: Per-Question-Energy
mentions: Question-Projection
mentions: Question-Projection-Retrieval-Vision
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Three-Retrieval-Modes
mentions: Trajectory-Length-Argument
related: BM25-Energy-Drift
related: Experiment-Specification
related: Path-Length-Decomposition
related: Per-Question-Energy
related: Random-Walk-With-Restart
related: Restart-Probability
related: Trajectory-Length-Argument
tag: drift
tag: energy-based-models
tag: langevin
tag: learned-component
tag: research-direction
up: Energy-Based-Drift-Paper-Direction

BM25-Energy-Drift
type: Concept
extends: Energy-Based-Drift
mentions: Chain-Sanity-Test-Harness
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Experiment-Specification
mentions: HotpotQA-Benchmark
mentions: Markov-Retrieval-Tutorial
mentions: MuSiQue-Benchmark
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Path-Length-Decomposition
mentions: Per-Question-Energy
mentions: Question-Projection-Retrieval-Vision
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Softmax-Normalization
mentions: Three-Retrieval-Modes
mentions: Trajectory-Length-Argument
related: Energy-Based-Drift
related: HotpotQA-Benchmark
related: Path-Length-Decomposition
related: Random-Walk-With-Restart
related: Restart-Probability
related: Trajectory-Length-Argument
tag: bm25
tag: drift
tag: energy-based-models
tag: experiment
tag: retrieval
up: Experiment-Specification

MuSiQue-PoC-Results
type: Synthesis
mentions: BM25-Energy-Drift
mentions: Chain-Sanity-Test-Harness
mentions: Drift-Variants-MuSiQue
mentions: Energy-Based-Drift
mentions: MuSiQue-Benchmark
mentions: MuSiQue-Journey-History
mentions: Named-Entity-Concept-Extraction
mentions: Operations-Basis
mentions: Path-Length-Decomposition
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Softmax-Normalization
mentions: Trajectory-Length-Argument
mentions: Uniform-Similarity-Chain
related: BM25-Energy-Drift
related: Drift-Variants-MuSiQue
related: MuSiQue-Benchmark
related: MuSiQue-Journey-History
related: Named-Entity-Concept-Extraction
related: Softmax-Normalization
tag: breakthrough
tag: empirical
tag: headline
tag: multi-hop
tag: musique
tag: ner
tag: results
tag: softmax
up: MuSiQue-Benchmark

Heterogeneous-Graph
type: Concept
mentions: Answer-Chunks
mentions: Bridge-Entity
mentions: Extraction-Retrieval-Co-Design
mentions: Markov-Retrieval-Tutorial
mentions: MiniLM-Embeddings
mentions: Path-Length-Decomposition
mentions: Question-Projection-Retrieval-Vision
mentions: Random-Walk-With-Restart
mentions: Tutorial-Corpus
mentions: Vanilla-RAG-Failure-Mode
related: Answer-Chunks
related: MiniLM-Embeddings
related: Random-Walk-With-Restart
tag: data-structure
tag: graph
tag: retrieval
up: Markov-Retrieval-Tutorial

Path-Length-Decomposition
type: Concept
mentions: BM25-Energy-Drift
mentions: Bridge-Entity
mentions: Chain-Sanity-Test-Harness
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Experiment-Specification
mentions: Heterogeneous-Graph
mentions: Markov-Retrieval-Tutorial
mentions: Random-Walk-With-Restart
mentions: Restart-Probability
mentions: Trajectory-Length-Argument
mentions: Tutorial-Figures
mentions: Tutorial-Queries
related: Energy-Based-Drift
related: Random-Walk-With-Restart
related: Restart-Probability
related: Tutorial-Figures
tag: analysis
tag: diagnostic
tag: retrieval
up: Markov-Retrieval-Tutorial

Markov-Retrieval-Tutorial
type: Synthesis
mentions: Answer-Chunks
mentions: BM25-Energy-Drift
mentions: Bridge-Entity
mentions: Chain-Sanity-Test-Harness
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Experiment-Specification
mentions: Extraction-Retrieval-Co-Design
mentions: Heterogeneous-Graph
mentions: HotpotQA-Benchmark
mentions: MiniLM-Embeddings
mentions: Path-Length-Decomposition
mentions: Question-Projection
mentions: Question-Projection-Retrieval-Vision
mentions: README-Summary
mentions: Random-Walk-With-Restart
mentions: Three-Retrieval-Modes
mentions: Tutorial-Corpus
mentions: Tutorial-Figures
mentions: Tutorial-PDF-Summary
mentions: Tutorial-Queries
mentions: Vanilla-RAG-Failure-Mode
related: Energy-Based-Drift-Paper-Direction
related: Experiment-Specification
related: Extraction-Retrieval-Co-Design
related: Question-Projection-Retrieval-Vision
related: README-Summary
related: Tutorial-PDF-Summary
tag: markov-chain
tag: project-overview
tag: retrieval
up: Home_markov_embeddings_and_rag

Random-Walk-With-Restart
type: Concept
mentions: BM25-Energy-Drift
mentions: Chain-Sanity-Test-Harness
mentions: Energy-Based-Drift
mentions: Energy-Based-Drift-Paper-Direction
mentions: Experiment-Specification
mentions: Heterogeneous-Graph
mentions: HotpotQA-Benchmark
mentions: Markov-Retrieval-Tutorial
mentions: MiniLM-Embeddings
mentions: MuSiQue-PoC-Results
mentions: Named-Entity-Concept-Extraction
mentions: Path-Length-Decomposition
mentions: Restart-Probability
mentions: Softmax-Normalization
mentions: Three-Retrieval-Modes
mentions: Trajectory-Length-Argument
related: Energy-Based-Drift
related: Heterogeneous-Graph
related: Path-Length-Decomposition
related: Restart-Probability
tag: algorithm
tag: markov-chain
tag: retrieval
up: Markov-Retrieval-Tutorial