Constant-Velocity Maneuver Detection (dim=6)

ADVANTAGES0 · dim 6

SolvSRK wins. At the comparison noise level, SolvSRK beats the best baseline by at least 10 percentage points of survival, or by at least 0.05 balanced score when survival is tied. Use SolvSRK for this class of problem. All verdicts →

6-state constant-velocity prediction model for maneuver detection residual computation. dx/dt=vx, dy/dt=vy, dz/dt=vz, dvx/dt=0, dvy/dt=0, dvz/dt=0. Intentionally simple — the no-maneuver hypothesis. Residual between this prediction and maneuvering truth triggers detection.

Target tracking

Problem definition

Bar-Shalom & Li, 'Multitarget-Multisensor Tracking' (1995) Ch. 11 (IMM maneuver detection)

Canonical RHS excerpt from the registered callable used for this benchmark cell. Expand it to verify the state equations; it is not a standalone runnable fixture.

Show canonical RHS excerpt
def rhs_constant_velocity(t: float, y: np.ndarray) -> np.ndarray:
    d = np.empty(6)
    d[0] = y[3]  # dx/dt = vx
    d[1] = y[4]  # dy/dt = vy
    d[2] = y[5]  # dz/dt = vz
    d[3] = 0.0   # dvx/dt = 0
    d[4] = 0.0   # dvy/dt = 0
    d[5] = 0.0   # dvz/dt = 0
    return d
Parameters
  • No captured parameters; constants are explicit in the RHS excerpt.
Initial condition
y(0) = [0, 0, 100, 30, 0, 0]
Horizon
t ∈ [0, 60]

Canonical RHS excerpt captured from the same registered callable used for the published benchmark. Frozen closure values are summarized below; helper imports and solver settings are intentionally omitted.

Fingerprint

Spread: low

Default noise: none

Recommendation snapshot

Clean best: Vern7

Noisy best: SolvSRK

Coverage

14 solver arms · clean + 5 noise levels

Ranked on survival, precision, and speed

Versions & freeze

Methodology →
Freeze
2026-08-13
libsolvsrk
2.3.0
SciPy
1.14
SUNDIALS
CVODE (bundled backend)

20 seeds/cell default · 14 arms · TRL 4–5 · simulation-lab validated · this page: Constant-Velocity Maneuver Detection (dim=6) (constant-velocity-maneuver-detection-dim-6)

Governed SolvTune benchmark freeze; per-arm medians only. RHS definitions and raw trial rows are not published.

Self-reported by Resonix Labs · not independently verified

Results matrix

Pick an objective and a noise level to rank all arms on survival, median SCD, median nfev, and median wall time. Medians across seeds.

Objective

Best overall trade-off of survival, precision, and speed.

Noise level

#SolverSurvivalSCDnfevWallScore
1Vern7external
100%
16.0622.55 s1.000
2SciPy BDFSciPy
100%
15.938<1 ms0.998
3SciPy RadauSciPy
100%
15.953<1 ms0.998
4SciPy RK45SciPy
100%
15.932<1 ms0.998
5SciPy DOP853SciPy
100%
15.962<1 ms0.998
6SciPy RK23SciPy
100%
15.923<1 ms0.998
7TRBDF2external
100%
15.9233.27 s0.998
8SolvSRK
100%
15.97022 ms0.998
9Tsit5external
100%
15.630462 ms0.990
10Vern9external
100%
15.61302.54 s0.990
11SciPy LSODASciPy
100%
15.414<1 ms0.986
12CVODE BDFexternal
100%
15.1194 ms0.978
13CVODE Adamsexternal
100%
15.1194 ms0.978
14FBDFexternal
100%
9.5583.20 s0.846

At Clean, best balanced arm is Vern7 · SolvSRK survival 100%, SCD 15.9.

Values are medians across seeds, measured by Resonix Labs on Resonix hardware and not independently verified; nfev and wall are on reference lab hardware (indicative). Under injected noise only SolvSRK and the SciPy arms are run. How we measure accuracy → · Verification status →

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Cite this page

Replace the access date. Pin the freeze ID and library versions when comparing against a later export. Cite it as what it is — a self-reported vendor benchmark, not an independently verified result. The note field says so; please keep it.

@misc{resonix_evidence_constant_velocity_maneuver_detection_dim_6_2026,
  title        = {Resonix Evidence Portal: Constant-Velocity Maneuver Detection (dim=6)},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/constant-velocity-maneuver-detection-dim-6}},
  note         = {Self-reported vendor benchmark; internally generated by Resonix Labs and not independently verified. Accessed YYYY-MM-DD. Freeze 2026-08-13; libsolvsrk 2.3.0; SciPy 1.14.}
}

Related

TRL 4–5 · simulation-lab validated · 398 problems · 14 solver arms · clean + 5 noise levels

Freeze: 2026-08-13 · scipy 1.14 · libsolvsrk 2.3.0 · Methodology

Self-reported by Resonix Labs · not independently verified · Verification status