Update README.md

README.md

@@ -5,21 +5,6 @@ license: apache-2.0
 First barrage tests and compilation tests are finished. The orbital is yielding a true representation of omega.
 
 The speed and accuracy is both representationally superior and compiles safe to full-graph.
-
-```
-  Flow                    fullgraph      Raw    Compiled
-  ────────────────────── ──────────── ────────── ────────────
-  OrbitalFlow                   OK   20.71ms       732us
-  AlignmentFlow                 OK    9.11ms      9.02ms
-
-  Flow                      Peak MB
-  ────────────────────── ──────────
-  OrbitalFlow                 10.5
-  AlignmentFlow               60.0
-  Full ensemble              203.6
-
-```
-
 ```
 geolip_core.linalg: available
 geolip.linalg backend:
@@ -40,23 +25,23 @@ geolip.linalg backend:
 
   Flow                     Params          Shape       Time     Conf   Res norm
   ────────────────────── ──────── ────────────── ────────── ──────── ──────────
-  QuaternionFlow           70,725  (16, 64, 128)      264us    0.476      1.318
-  QuaternionLiteFlow       87,109  (16, 64, 128)      190us    0.465      1.279
-  VelocityFlow             70,210  (16, 64, 128)      170us    0.533      0.056
-  MagnitudeFlow            73,293  (16, 64, 128)    20.58ms    0.481      0.753
-  OrbitalFlow              25,445  (16, 64, 128)    20.70ms    0.551      3.464
-  AlignmentFlow            37,186  (16, 64, 128)    43.67ms    0.480      0.131
+  QuaternionFlow           70,725  (16, 64, 128)      267us    0.489      1.355
+  QuaternionLiteFlow       87,109  (16, 64, 128)      194us    0.471      1.282
+  VelocityFlow             70,210  (16, 64, 128)      175us    0.495      0.058
+  MagnitudeFlow            73,293  (16, 64, 128)      315us    0.526      0.601
+  OrbitalFlow              25,445  (16, 64, 128)      378us    0.524      1.650
+  AlignmentFlow             8,922  (16, 64, 128)      347us    0.485      2.905
 
 ========================================================================
   2. LINALG INTEGRATION
 ========================================================================
 
   Testing eigh dispatch in MagnitudeFlow and OrbitalFlow...
-  magnitude          finite=True  conf=0.477
-  orbital            finite=True  conf=0.501
+  magnitude          finite=True  conf=0.469
+  orbital            finite=True  conf=0.462
 
-  Gram eigenspectrum: shape=(16, 12) range=[0.0001, 6.6260]
-  Eigenvector orth err: 8.39e+01
+  Gram eigenspectrum: shape=(16, 12) range=[0.0002, 7.5887]
+  Eigenvector orth err: 6.86e+01
 
 ========================================================================
   3. MULTI-SCALE
@@ -65,39 +50,39 @@ geolip.linalg backend:
   OrbitalFlow across scales:
   Config        B     n     k     d       Time   OK
   ────────── ──── ───── ───── ───── ────────── ────
-  tiny          4    16     8    64    12.05ms   OK
-  small        16    64    32   128    20.64ms   OK
-  medium       32   128    64   256    20.71ms   OK
-  large        64   256   128   256    20.75ms   OK
-  wide          8   512   256   512    20.74ms   OK
+  tiny          4    16     8    64      328us   OK
+  small        16    64    32   128      377us   OK
+  medium       32   128    64   256      379us   OK
+  large        64   256   128   256      430us   OK
+  wide          8   512   256   512      426us   OK
 
 ========================================================================
   4. ENSEMBLE FUSION
 ========================================================================
 
-  weighted:  time=87.28ms  norm=0.586  diversity=0.829
-    quaternion         conf=0.476±0.002  res=1.322
-    quat_lite          conf=0.465±0.002  res=1.285
-    velocity           conf=0.533±0.003  res=0.056
-    magnitude          conf=0.481±0.004  res=0.757
-    orbital            conf=0.554±0.002  res=1.644
-    alignment          conf=0.480±0.003  res=0.131
+  weighted:  time=2.02ms  norm=0.805  diversity=0.905
+    quaternion         conf=0.489±0.002  res=1.355
+    quat_lite          conf=0.471±0.002  res=1.285
+    velocity           conf=0.495±0.003  res=0.058
+    magnitude          conf=0.526±0.004  res=0.608
+    orbital            conf=0.524±0.002  res=1.647
+    alignment          conf=0.485±0.014  res=3.110
 
-  gated:  time=87.36ms  norm=0.598  diversity=0.829
-    quaternion         conf=0.476±0.002  res=1.322
-    quat_lite          conf=0.465±0.002  res=1.285
-    velocity           conf=0.533±0.003  res=0.056
-    magnitude          conf=0.481±0.004  res=0.757
-    orbital            conf=0.554±0.002  res=1.644
-    alignment          conf=0.480±0.003  res=0.131
+  gated:  time=2.02ms  norm=0.663  diversity=0.905
+    quaternion         conf=0.489±0.002  res=1.355
+    quat_lite          conf=0.471±0.002  res=1.285
+    velocity           conf=0.495±0.003  res=0.058
+    magnitude          conf=0.526±0.004  res=0.608
+    orbital            conf=0.524±0.002  res=1.647
+    alignment          conf=0.485±0.014  res=3.110
 
-  residual:  time=87.35ms  norm=0.586  diversity=0.829
-    quaternion         conf=0.476±0.002  res=1.322
-    quat_lite          conf=0.465±0.002  res=1.285
-    velocity           conf=0.533±0.003  res=0.056
-    magnitude          conf=0.481±0.004  res=0.757
-    orbital            conf=0.554±0.002  res=1.644
-    alignment          conf=0.480±0.003  res=0.131
+  residual:  time=2.03ms  norm=0.805  diversity=0.905
+    quaternion         conf=0.489±0.002  res=1.355
+    quat_lite          conf=0.471±0.002  res=1.285
+    velocity           conf=0.495±0.003  res=0.058
+    magnitude          conf=0.526±0.004  res=0.608
+    orbital            conf=0.524±0.002  res=1.647
+    alignment          conf=0.485±0.014  res=3.110
 
 ========================================================================
   5. GRADIENT HEALTH
@@ -106,23 +91,23 @@ geolip.linalg backend:
   Flow               Loss          Grad norm   Status
   ────────────────── ────────── ──────────── ────────
   quaternion         mse            8.90e-04       OK
-  quat_lite          mse            7.05e-04       OK
-  velocity           mse            2.78e-04       OK
-  magnitude          mse            7.92e-04       OK
-  orbital            mse            3.45e-03       OK
-  alignment          mse            1.27e-03       OK
-  quaternion         cosine         1.43e-01       OK
-  quat_lite          cosine         1.17e-01       OK
-  velocity           cosine         3.37e-02       OK
-  magnitude          cosine         1.98e-01       OK
-  orbital            cosine         2.82e-01       OK
-  alignment          cosine         9.83e-02       OK
-  quaternion         norm           1.09e-01       OK
-  quat_lite          norm           8.79e-02       OK
-  velocity           norm           2.06e-02       OK
-  magnitude          norm           3.99e-01       OK
-  orbital            norm           3.97e+00       OK
-  alignment          norm           1.01e-01       OK
+  quat_lite          mse            6.98e-04       OK
+  velocity           mse            3.14e-04       OK
+  magnitude          mse            8.74e-04       OK
+  orbital            mse            1.53e-03       OK
+  alignment          mse            1.55e-02       OK
+  quaternion         cosine         9.37e-02       OK
+  quat_lite          cosine         7.39e-02       OK
+  velocity           cosine         2.66e-02       OK
+  magnitude          cosine         8.45e-02       OK
+  orbital            cosine         1.91e-01       OK
+  alignment          cosine         1.94e+00       OK
+  quaternion         norm           8.57e-02       OK
+  quat_lite          norm           6.37e-02       OK
+  velocity           norm           7.90e-03       OK
+  magnitude          norm           6.39e-02       OK
+  orbital            norm           1.45e-01       OK
+  alignment          norm           2.95e+00       OK
 
 ========================================================================
   6. ABLATION (100 training steps, rotation target)
@@ -130,20 +115,18 @@ geolip.linalg backend:
 
   Configuration                              MSE     Params
   ─────────────────────────────────── ────────── ──────────
-  QuaternionFlow                          0.0010    280,709
+  QuaternionFlow                          0.0011    280,709
   QuaternionLiteFlow                      0.0005    346,245
   VelocityFlow                            0.0061    279,682
   MagnitudeFlow                           0.0081    285,837
-  OrbitalFlow                             0.0456     91,813
-  AlignmentFlow                           0.0066    148,098
-  Quat + Orbital                          0.0024    372,524
+  OrbitalFlow                             0.0031     91,813
+  AlignmentFlow                           0.0081     26,010
+  Quat + Orbital                          0.0009    372,524
   Velocity + Magnitude                    0.0062    565,521
-  Orbital + Alignment                     0.0188    239,913
-  Velocity + Orbital                      0.1576    371,497
-  Full (weighted)                         0.0046  1,432,390
-/tmp/ipykernel_16934/1749400227.py:389: UserWarning: torch.linalg.svd: During SVD computation with the selected cusolver driver, batches 0, 1, 2, 3, 4, and other 27 batches failed to converge. A more accurate method will be used to compute the SVD as a fallback. Check doc at https://pytorch.org/docs/stable/generated/torch.linalg.svd.html (Triggered internally at /pytorch/aten/src/ATen/native/cuda/linalg/BatchLinearAlgebraLib.cpp:701.)
-  U, _, Vh = torch.linalg.svd(C)  # full d×d SVD — not through geolip.linalg.svd
-  Full (residual)                     FAILED: linalg.svd: (Batch element 0):
+  Orbital + Alignment                     0.0026    117,825
+  Velocity + Orbital                      0.0021    371,497
+  Full (weighted)                         0.0007  1,310,302
+  Full (residual)                         0.0007  1,310,302
 
 ========================================================================
   7. COMPILE COMPATIBILITY
@@ -151,18 +134,12 @@ geolip.linalg backend:
 
   Flow                      fullgraph        Raw     Compiled
   ────────────────────── ──────────── ────────── ────────────
-  QuaternionFlow                   OK      269us        191us
-  QuaternionLiteFlow               OK      191us        172us
-  VelocityFlow                     OK      176us        161us
-/usr/local/lib/python3.12/dist-packages/torch/_inductor/compile_fx.py:321: UserWarning: TensorFloat32 tensor cores for float32 matrix multiplication available but not enabled. Consider setting `torch.set_float32_matmul_precision('high')` for better performance.
-  warnings.warn(
-/usr/local/lib/python3.12/dist-packages/torch/_inductor/lowering.py:1904: FutureWarning: `torch._prims_common.check` is deprecated and will be removed in the future. Please use `torch._check*` functions instead.
-  check(
-  MagnitudeFlow                    OK    20.68ms        733us
-/usr/local/lib/python3.12/dist-packages/torch/_inductor/lowering.py:1904: FutureWarning: `torch._prims_common.check` is deprecated and will be removed in the future. Please use `torch._check*` functions instead.
-  check(
-  OrbitalFlow                      OK    20.71ms        732us
-  AlignmentFlow                    OK     9.11ms       9.02ms
+  QuaternionFlow                   OK      274us        200us
+  QuaternionLiteFlow               OK      199us        181us
+  VelocityFlow                     OK      181us        168us
+  MagnitudeFlow                    OK      328us        351us
+  OrbitalFlow                      OK      376us        347us
+  AlignmentFlow                    OK      348us        362us
 
 ========================================================================
   8. MEMORY (B=32, n=128, k=64, d=256)
@@ -174,9 +151,9 @@ geolip.linalg backend:
   QuaternionLiteFlow          28.3
   VelocityFlow                48.0
   MagnitudeFlow               24.2
-  OrbitalFlow                 10.5
-  AlignmentFlow               60.0
-  Full ensemble              203.6
+  OrbitalFlow                 10.9
+  AlignmentFlow               15.0
+  Full ensemble              178.7
 
 ========================================================================
   Done.