20-Target Large Swarm Tracking

PARITYS2 · dim 140

No clear winner. The survival gap is under 10 percentage points and the balanced-score gap is under 0.05, so neither SolvSRK nor the best baseline clears the win threshold. Either works — choose on cost, licensing, or integration effort. All verdicts →

20 targets: 8 maneuvering (omega 0.1-0.5 rad/s), 6 cruise (omega 0.01-0.05 rad/s), 6 hovering (omega=0). Coordinated-turn dynamics with acceleration decay. Designed for SF-3 high-dimensional regime: UKF requires 281 sigma points per update at this dimension, EKF needs only 1 prediction + Jacobian.

Target tracking

Problem definition

Bar-Shalom et al. (2001) Ch. 11; Blackman & Popoli (1999) Ch. 7-8

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(t, y):
    d = np.empty(dim)
    for i in range(n_targets):
        base = 7 * i
        x   = y[base]
        yy  = y[base + 1]
        z   = y[base + 2]
        vx  = y[base + 3]
        vy  = y[base + 4]
        vz  = y[base + 5]
        a_m = y[base + 6]

        v_mag = np.sqrt(vx * vx + vy * vy + vz * vz)
        v_safe = max(v_mag, _VEL_FLOOR)
        omega = omegas_arr[i]

        d[base]     = vx
        d[base + 1] = vy
        d[base + 2] = vz
        d[base + 3] = -omega * vy + a_m * vx / v_safe
        d[base + 4] =  omega * vx + a_m * vy / v_safe
        d[base + 5] =               a_m * vz / v_safe
        d[base + 6] = -a_m * inv_tau_a

    return d
Parameters
  • _VEL_FLOOR = 1e-06
  • dim = 140
  • inv_tau_a = 0.2
  • n_targets = 20
  • omegas_arr = [0.1, 0.3, 0.5, 0.25, 0.15, 0.4, …] [shape=(20,), min=0, max=0.5]
Initial condition
y(0) = [1000, 0, 500, 50, 100, 0, …] [shape=(140,), min=-3000, max=4000]
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: extreme

Default noise: low

Recommendation snapshot

Clean best: SolvSRK

Noisy best: SciPy BDF

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: 20-Target Large Swarm Tracking (20-target-large-swarm-tracking)

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
1SolvSRK
100%
10.38,972699 ms0.864
2SciPy RadauSciPy
100%
10.25,154325 ms0.862
3Tsit5external
100%
8.31,620933 ms0.818
4SciPy LSODASciPy
100%
8.31,03343 ms0.816
5SciPy DOP853SciPy
100%
8.051823 ms0.810
6SciPy RK45SciPy
100%
7.91,65873 ms0.806
7CVODE Adamsexternal
100%
7.497451 ms0.795
8SciPy RK23SciPy
100%
7.310,817491 ms0.792
9CVODE BDFexternal
100%
6.91,99796 ms0.784
10SciPy BDFSciPy
100%
6.51,292101 ms0.772

At Clean, best balanced arm is SolvSRK.

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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This page shows one published benchmark cell. SolvScout fingerprints your ODE, compares it to the full corpus, and recommends a solver with the same survival / precision / speed ranking you see here — including when a SciPy arm wins.

SolvSRK · 30-day trial

Run the winner on your machine

SolvSRK is the stiffness-adaptive integrator behind the SolvSRK column in these tables. Create an account, activate a machine, and take a 30-day trial — same binary you'd ship after purchase.

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_20_target_large_swarm_tracking_2026,
  title        = {Resonix Evidence Portal: 20-Target Large Swarm Tracking},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/20-target-large-swarm-tracking}},
  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