arrayfire / arrayfire/arrayfire-python
Bugs in af.approx1()
- 主要語言
- Python
- 星號
- 422
- 分支
- 63
- PR 合併指標
- 30 天內沒有已合併 PR
描述
Convergence checks performed on the ArrayFire routines for interpolation seem to indicate a few mistakes:
The following plot is generated using `af.INTERP.CUBIC`

The order of convergence comes out to be , while the expected convergence rate is . I checked with `af.INTERP.CUBIC_SPLINE` as well. Even in that case the order of convergence comes out to be 

Another issue is the fact that the error doesn't drop below 1e-7. The SciPy interpolation function `interp1d` using cubic interpolation gives this:

For your reference - this is the [code](https://gist.github.com/ShyamSS-95/ad0065e984b76d1ccaecc5e21b425734) I'd used to generate the plots.
Also regarding issue #130 - I've realised that the mistake was on my part. I should have added the off-set in the indexing to the normalized interpolant points.
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研究方向
Start by running the linked reproduction code and examining af.approx1 with af.INTERP.CUBIC and af.INTERP.CUBIC_SPLINE. Compare the observed convergence rates and error floor with SciPy's interp1d; done means identifying and correcting the interpolation behavior so the expected convergence and accuracy are restored.
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評估
- 技術堆疊
- python
- 領域
- backend
- Issue 類型
- 缺陷
- 難度
- 4/5
- 預估耗時
- 3-5 天
- 活躍度
- 停滯
- 描述清晰度
- 需要釐清
- 新手友好度
- 30/100