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validation and profiles
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# MSTOCH: Ehlers MESA Stochastic
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# MSTOCH: Ehlers MESA Stochastic
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The MESA Stochastic applies John Ehlers' Roofing Filter as a preprocessing stage before computing a stochastic oscillator, then smooths the stochastic output with a Super Smoother. The Roofing Filter removes both low-frequency trend components (via highpass) and high-frequency noise (via Super Smoother), isolating the dominant cycle. The stochastic calculation on this filtered data produces a clean 0-to-1 oscillator that responds to cycle turning points rather than trend or noise, with substantially reduced whipsaw compared to conventional stochastic indicators.
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@@ -53,6 +53,44 @@ $$\text{Output} = \text{clamp}(MSTOCH_t, 0, 1)$$
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**Default parameters:** stochLength = 20, hpLength = 48, ssLength = 10.
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## Performance Profile
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### Operation Count (Streaming Mode)
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Modified Stochastic uses RingBuffers for high/low windows with O(1) sum-based smoothing.
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| Operation | Count | Cost (cycles) | Subtotal |
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| :--- | :---: | :---: | :---: |
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| RingBuffer deque update (high window) | 2 | 1 | 2 |
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| RingBuffer deque update (low window) | 2 | 1 | 2 |
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| SUB (high − low = range) | 1 | 1 | 1 |
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| SUB (close − low = position) | 1 | 1 | 1 |
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| DIV (raw %K = position/range) | 1 | 15 | 15 |
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| FMA × 2 (smoothed %K, %D EMA updates) | 2 | 4 | 8 |
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| CMP (range > 0 guard) | 1 | 1 | 1 |
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| **Total** | **10** | — | **~30 cycles** |
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~30 cycles per bar. Two EMA instances on top of a sliding window min/max.
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### Batch Mode (SIMD Analysis)
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| Operation | Vectorizable? | Notes |
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| :--- | :---: | :--- |
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| Sliding high/low | Partial | Lemire deque O(n); SIMD scan for ArgMax/Min |
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| Raw %K | Yes | VSUBPD + VDIVPD |
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| EMA smoothing × 2 | **No** | Recursive IIR — sequential |
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EMA smoothing blocks full vectorization; window extrema and division are SIMD-friendly.
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### Quality Metrics
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| Metric | Score | Notes |
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| :--- | :---: | :--- |
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| **Accuracy** | 9/10 | Exact window extrema; FMA EMA smoothing |
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| **Timeliness** | 6/10 | Period + EMA smoothing period determines lag |
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| **Smoothness** | 8/10 | Double EMA smoothing produces stable %K/%D lines |
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| **Noise Rejection** | 7/10 | EMA smoothing removes stochastic choppiness |
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## Resources
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- Ehlers, J.F. (2013). *Cycle Analytics for Traders*. Wiley, Chapter 6
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