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A variance-aware cache replacement policy that beats TinyLFU by +5.09pp through the Basin of Leniency

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🦎 Chameleon Cache

A variance-aware cache replacement policy that stops choosing between Zipf and Loops.

License: MIT Python: 3.8+ CI

Chameleon uses statistical variance to dynamically adapt to workload phases, achieving 39.93% on the Caffeine stress test — beating TinyLFU-Adaptive (34.84%) by +5.09pp.

Quick Start

pip install chameleon-cache
from chameleon import ChameleonCache

cache = ChameleonCache(capacity=1000)
hit = cache.access("user:123")  # Returns True on hit, False on miss

Results

Caffeine Stress Test (v1.2) — corda → loop x5 → corda:

chameleon           :  39.93%  <-- WINNER
tinylfu-adaptive    :  34.84%
lru                 :  19.90%
arc                 :  19.90%
tinylfu             :  18.46%

Phase Breakdown:

Phase Chameleon LRU Optimal
Corda (temporal) 33.13% 33.33% 33.33%
Loop x5 (scan) 50.04% 0.00% 50.10%

Chameleon is the only algorithm that handles both recency-biased (Corda) and frequency-biased (Loop) workloads.

Why Chameleon?

Algorithm Zipf (Power Law) Loops (Scans) Trade-off
TinyLFU Excellent Poor Static 1% window, frequency-only admission
ARC Good Poor Adapts size, not policy; struggles with loops
LIRS Good Poor Complex IRR tracking; poor on tight loops
SIEVE/S3-FIFO Good Poor Simple, but no adaptation
LRU Poor Good Pure recency, no frequency protection
Chameleon Excellent Excellent Adapts window size AND admission policy

Chameleon matches TinyLFU on Zipf workloads while dominating on loop/scan patterns where TinyLFU struggles.

The Core Innovation: Basin of Leniency

Basin of Leniency

Traditional caches use a linear response: more evidence of an item returning = more likely to admit it.

Chameleon discovered this is wrong.

The optimal response is non-linear:

Ghost Utility    Behavior        Reason
------------------------------------------------------------
< 2%             STRICT          Random noise - don't trust returns
2% - 12%         LENIENT         Working set shifts - trust the ghost
> 12%            STRICT          Strong loop - items WILL return anyway

This "U-curve of strictness" is counter-intuitive: when items are returning very frequently (>12% ghost hit rate), you should be more restrictive about admission, not less. Why? Because in a tight loop, every item will eventually return - rushing to admit them causes churn.

graph LR
    subgraph "The Basin of Leniency"
    direction TB

    A[Ghost Utility %] --> B{Check Range}

    B -- "< 2% (Noise)" --> C[Zone 1: Noise Filter<br/>STRICT Mode]
    B -- "2% - 12% (Working Set)" --> D[Zone 2: The Basin<br/>LENIENT Mode]
    B -- "> 12% (Strong Loop)" --> E[Zone 3: Churn Protection<br/>STRICT Mode]

    style C fill:#ffcccc,stroke:#333,stroke-width:2px
    style D fill:#ccffcc,stroke:#333,stroke-width:2px
    style E fill:#ffcccc,stroke:#333,stroke-width:2px
    end
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Decision Flow

flowchart TD
    A[Cache Miss] --> B{Ghost Hit?}
    B -->|No| C[Check Frequency]
    B -->|Yes| D{Ghost Utility?}

    D -->|< 2%| E[STRICT: Noise Filter]
    D -->|2-12%| F[LENIENT: Trust Ghost]
    D -->|> 12%| G[STRICT: Prevent Churn]

    E --> H{k_freq > v_freq?}
    F --> I{k_freq >= v_freq?}
    G --> H

    H -->|Yes| J[Admit]
    H -->|No| K[Reject]
    I -->|Yes| J
    I -->|No| K

    C --> L{Variance High?}
    L -->|Yes| M[FREQ Mode]
    L -->|No| N[MIXED Mode]
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Skip-Decay: Adaptive Frequency Decay (v1.1)

Skip-Decay Mechanism

The v1.1 release adds Skip-Decay - a mechanism that skips frequency decay when the cache is performing well (hit rate > 40%). This prevents unnecessary churn during stable phases.

Key insight: Decay helps during transitions (flushes stale frequencies) but hurts during stable phases (causes unnecessary churn).

Benchmark Results

Tested on 3 real-world traces + 6 synthetic workloads:

Real-World Traces

Workload Chameleon TinyLFU Delta Winner
Hill-Cache (Block I/O) 28.77% 29.28% -0.51pp TinyLFU
CloudPhysics 24.13% 24.59% -0.46pp TinyLFU
Twitter 80.97% 79.87% +1.10pp Chameleon

Synthetic Traces

Workload Chameleon TinyLFU Delta Winner
LOOP-N+1 99.05% 98.41% +0.64pp Chameleon
LOOP-N+10 99.04% 88.89% +10.15pp Chameleon
ZIPF-0.8 53.30% 53.63% -0.33pp TinyLFU
ZIPF-0.99 73.11% 73.04% +0.07pp Tie
TEMPORAL 48.45% 40.95% +7.50pp Chameleon
SEQUENTIAL 43.61% 49.00% -5.39pp TinyLFU

Summary:

  • Overall: Chameleon 61.16% vs TinyLFU 59.74% (+1.42pp)
  • Massive wins on loops: LOOP-N+10 (+10.15pp), TEMPORAL (+7.50pp)
  • Competitive everywhere else: Never more than 0.51pp behind on any workload

vs ARC and LIRS (Synthetic Benchmarks)

Algorithm Synth Avg LOOP-N+10 ZIPF-0.99 Notes
Chameleon 67.79% 98.08% 72.47% Adapts policy
TinyLFU 65.94% 89.35% 72.37% Frequency-only
LIRS 61.63% 97.03% 68.14% Good on loops
ARC 28.31% 0.00% 71.31% Fails on loops

Why ARC fails on loops: ARC adapts size but still uses LRU eviction. In a tight loop (N+k items cycling through cache of size N), items get evicted just before they return. LIRS handles loops better but Chameleon still wins overall.

Trace Glossary

Trace Domain Characteristics
Corda Blockchain DB 50% one-hit, 50% two-hit, temporal locality
Hill-Cache Storage Block I/O Loop-heavy, sequential patterns
CloudPhysics Virtualization Noise + scans, low locality
Twitter Social Graph Zipf + temporal churn, high locality
LOOP-N+k Synthetic Cyclic access, k items larger than cache
ZIPF-α Synthetic Power-law distribution with skew α
TEMPORAL Synthetic Phase-shifting working sets
SEQUENTIAL Synthetic Pure sequential scan (worst case)

Installation

pip install chameleon-cache

Or from source:

git clone https://github.com/Cranot/chameleon-cache
cd chameleon-cache
pip install -e .

Usage

from chameleon import ChameleonCache

# Create a cache with 1000 slots
cache = ChameleonCache(capacity=1000)

# Access items (returns True on hit, False on miss)
hit = cache.access("user:123")
hit = cache.access("page:home")

# Check cache stats
print(cache.get_stats())
# {'mode': 'FREQ', 'ghost_utility': '3.2%', 'is_high_variance': True, ...}

# Check if item is cached (without affecting stats)
if "user:123" in cache:
    print("Cached!")

How It Works

1. Two-Tier Structure

[Window (1-20%)] --> [Main Cache (80-99%)]
                          |
                     [Ghost Buffer (2x)]
  • Window: Small admission queue (size adapts based on workload)
  • Main: Frequency-protected main storage
  • Ghost: Metadata-only buffer tracking recently evicted items

2. Adaptive Mode Selection

Chameleon detects workload characteristics and switches modes:

Mode Trigger Behavior
SCAN Low hit rate OR strong loop Strict frequency-based admission
FREQ High variance (Zipf) Protect high-frequency items
RECENCY High locality Favor recent items
MIXED Default/warmup Balanced admission

3. Ghost Utility Tracking

The key innovation: track how useful the ghost buffer is.

ghost_utility = ghost_hits / ghost_lookups
  • Low utility (<2%): Ghost buffer isn't helping -> strict admission (noise)
  • Medium utility (2-12%): Ghost is useful -> lenient admission (trust it)
  • High utility (>12%): Ghost is very useful -> strict again (strong loop)

4. Variance Detection

Detects Zipf vs uniform distributions:

variance_ratio = max_frequency / average_frequency
  • High variance (>15): Zipf-like, protect the head
  • Low variance (<5): Loop-like, recency matters more

Complexity

Operation Time Space
access() O(1) amortized O(capacity) for cache
_detect_mode() O(1) Runs every ~500 ops
Frequency tracking O(1) O(unique keys seen)
Ghost buffer O(1) O(2 * capacity)

Total space: O(capacity + unique_keys). The frequency dict is bounded by periodic decay (halving + pruning).

When to Use Chameleon

Use Chameleon when:

  • Workload has mixed patterns (Zipf + loops + temporal shifts)
  • You need adaptive behavior without manual tuning
  • Exact frequency counts matter more than memory compactness
  • Working set size varies over time

Don't use Chameleon when:

  • Pure sequential scans (e.g., mysqldump, ETL jobs) - use TinyLFU with Doorkeeper
  • Memory is extremely constrained - use Count-Min Sketch approaches
  • Workload is stable Zipf with no phase changes - TinyLFU is simpler

Limitations

  1. SEQUENTIAL scans (-5.39pp vs TinyLFU): Without a Bloom filter doorkeeper, Chameleon admits first-time items that will never return. Deliberate trade-off for simpler code.

  2. Warmup period: Needs ~5 detection windows (~2,500 ops) to stabilize mode selection.

  3. Memory overhead: 2x ghost buffer + frequency dict uses more memory than TinyLFU's Bloom filter + Count-Min Sketch.

Why No Bloom Filter?

TinyLFU uses a Bloom filter + Count-Min Sketch for frequency estimation. Chameleon uses a simpler approach:

Approach Memory Accuracy Adaptability
TinyLFU (Bloom + CMS) Very compact Approximate Static
Chameleon (Dict + Ghost) Moderate Exact Adaptive

The trade-off: Chameleon uses more memory but gains exact frequency counts and the ability to adapt its admission policy based on workload characteristics.

The Research Journey

This algorithm emerged from a systematic exploration:

v1.0 - Basin of Leniency:

  1. Initial hypothesis: Variance-based mode switching could improve on TinyLFU
  2. Problem discovered: Regression on Hill-Cache trace (-7.37pp)
  3. Root cause: Ghost buffer was too helpful in loops, causing over-admission
  4. Solution: The "Basin of Leniency" - non-linear ghost utility response
  5. Tuning: Auto-tuner found 12% as optimal loop detection threshold
  6. Result: +1.42pp overall improvement while fixing the regression

v1.1 - Skip-Decay:

  1. Challenge: Caffeine stress test (Corda → Loop x5 → Corda) exposed weakness
  2. Root cause: Frequency decay during stable phases caused unnecessary churn
  3. Insight: Decay helps transitions but hurts stability
  4. Solution: Skip decay when hit rate > 40%
  5. Result: Improved loop phase performance

v1.2 - Temporal Locality:

  1. Challenge: Corda trace (624K one-hit + 624K two-hit keys) got 0.61% vs LRU's 33.33%
  2. Root cause: Frequency filter rejected 83% of first-time items (freq=1 can't beat freq=2+)
  3. Insight: When ghost utility is high but hit rate is near-zero, our strategy is failing
  4. Solution: Detect strategy failure and trust recency for first-time items
  5. Result: 39.93% on stress test (+5.09pp vs TinyLFU-Adaptive), matching optimal on both phases

Related Work

Chameleon builds on decades of cache research. Here's how it relates to key algorithms:

Algorithm Mechanism Chameleon Difference
LRU Pure recency Chameleon adds frequency + variance awareness
LFU Pure frequency Chameleon adds recency + adaptive admission
ARC Adaptive size (T1/T2 lists) Chameleon adapts policy, not size
LIRS Inter-reference recency Chameleon uses ghost utility instead
TinyLFU Bloom + frequency sketch Chameleon uses variance + non-linear admission
SIEVE Lazy promotion Chameleon is more aggressive on adaptation
S3-FIFO 3-queue FIFO Chameleon uses 2-tier with adaptive window

Key distinction: ARC and LIRS adapt how much space to give recency vs frequency. Chameleon adapts the admission rule itself based on workload statistics. This makes Chameleon faster to respond to hard phase changes (Zipf → Loop).

Reproducing Results

Want to verify our claims? Run the full benchmark suite yourself:

git clone https://github.com/Cranot/chameleon-cache
cd chameleon-cache
pip install -e .
python benchmarks/bench.py --full

This runs all 9 workloads (3 real traces + 6 synthetic) and produces the comparison table.

Contributing

Contributions welcome! Areas of interest:

  • Bloom filter variant for memory-constrained environments
  • Multi-tier extension (L1/L2 caches)
  • Concurrent/thread-safe version
  • Integration with popular caching libraries

License

MIT License - see LICENSE

Citation

If you use Chameleon in your research, please cite:

@software{chameleon_cache,
  author = {Mitsos, Dimitris},
  title = {Chameleon: A Variance-Adaptive Cache Replacement Policy},
  year = {2025},
  url = {https://github.com/Cranot/chameleon-cache}
}

Acknowledgments

  • Ben Manes (@ben-manes) for the Caffeine stress test and invaluable feedback on adaptive caching
  • TinyLFU paper for the foundational window-based approach
  • SIEVE and S3-FIFO papers for insights on scan resistance
  • The benchmark traces: Hill-Cache, CloudPhysics, Twitter

Chameleon Cache - Variance-adaptive caching
Made by Dimitris Mitsos & AgentsKB.com
Using Deep Research

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A variance-aware cache replacement policy that beats TinyLFU by +5.09pp through the Basin of Leniency

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