# JANUS **JANUS** — flow-matching unsupervised network anomaly detection over packet sequences. JANUS is a packet-causal Transformer with **two output heads on a shared backbone**: - **Continuous Flow Matching head** over the (size, IAT, win) packet channels. - **Discrete Flow Matching head** over the 6 binary protocol-flag / direction channels. Trained jointly on benign traffic only (no attack labels at any stage). The deployable scalar score is a **Mahalanobis-OAS distance** over a 10-d per-flow score vector emitted by the trained model, with the aggregator fit on benign val only — entirely unsupervised end-to-end. JANUS is the first NIDS method to use Flow Matching as the training paradigm in mixed continuous–discrete state spaces over packet sequences. ## Headline results 3-seed mean ± std AUROC. Selection-bias-free Mahalanobis-OAS aggregator on the 10-d JANUS score vector, fit on benign val only. ### Within-dataset comparison (AUROC %, mean ± std) | Method | Venue | CIC-IDS2017 | CIC-DDoS2019 | CIC-IoT2023 | ISCXTor2016 | |---|---|---:|---:|---:|---:| | Isolation Forest | classical | 55.27 ± 0.4 | 62.18 ± 2.8 | 48.42 ± 4.1 | 51.86 ± 3.4 | | OCSVM | classical | 59.59 ± 0.6 | 66.74 ± 2.4 | 51.83 ± 3.7 | 56.12 ± 3.1 | | AnoFormer | ICLR'22 | 63.37 ± 0.7 | 69.85 ± 3.2 | 57.94 ± 4.1 | 61.46 ± 3.4 | | GANomaly | BMVC'18 | 82.75 ± 5.6 | 86.13 ± 5.3 | 71.68 ± 6.4 | 76.52 ± 5.7 | | RD4AD | CVPR'22 | 83.78 ± 0.8 | 87.62 ± 2.0 | 71.45 ± 4.2 | 77.31 ± 3.2 | | TSLANet | ICML'24 | 84.45 ± 1.7 | 87.31 ± 2.5 | 71.92 ± 4.5 | 78.04 ± 3.6 | | ARCADE | — | 84.85 ± 2.0 | 88.04 ± 3.1 | 72.65 ± 4.4 | 78.43 ± 3.7 | | MFAD | — | 86.02 ± 0.8 | 89.16 ± 2.1 | 73.74 ± 3.5 | 79.48 ± 2.9 | | STFPM | BMVC'21 | 86.29 ± 1.7 | 88.95 ± 2.9 | 73.42 ± 4.3 | 79.16 ± 3.5 | | MMR | — | 89.26 ± 1.2 | 91.74 ± 2.1 | 77.83 ± 3.9 | 82.51 ± 3.0 | | Shafir NF + Shapley | arXiv'26 | 93.03 ± 1.5 | 93.00 ± 1.5 | 72.24 ± 6.1 | 87.31 ± 1.5 | | ConMD | TIFS'26 | 94.43 ± 0.1 | 96.04 ± 1.4 | 80.05 ± 3.2 | 87.83 ± 2.4 | | **JANUS (ours)** | — | **98.26 ± 0.35** | **99.18 ± 0.05** | **95.90 ± 0.22** | **99.09 ± 0.13** | ### Baseline methods (within-dataset table) - **Isolation Forest** — random partitioning trees; anomalies isolate in shorter average path length. - **OCSVM** — one-class SVM boundary around benign in feature space; signed distance to the boundary is the score. - **AnoFormer** (ICLR'22) — Transformer reconstruction over time series; reconstruction error as score. - **GANomaly** (BMVC'18) — encoder–decoder–encoder GAN; combined reconstruction error + latent-space distance. - **RD4AD** (CVPR'22) — reverse distillation; student decodes a frozen teacher's multi-scale features, teacher/student feature mismatch is the score. - **TSLANet** (ICML'24) — time-series net mixing conv, attention, and spectral filtering; reconstruction/prediction error as score. - **ARCADE** — adversarially-regularized convolutional autoencoder for traffic anomaly detection; reconstruction error as score. - **MFAD** — multi-feature fusion reconstruction; distance over the fused-view reconstruction as score. - **STFPM** (BMVC'21) — student–teacher feature pyramid matching across scales; multi-scale feature mismatch as score. - **MMR** — masked reconstruction; mask part of the input and score by reconstruction error at masked positions. - **Shafir NF + Shapley** (ToN'26) — Normalizing Flow on CICFlowMeter flow statistics with SHAP-selected top-5 features; negative log-likelihood as score. - **ConMD** (TIFS'26) — contrastive/diffusion-based multimodal NIDS; strongest non-JANUS baseline in the table. ### 3×3 cross-dataset transfer matrix Source (rows) trained on 10K benign of source dataset; target (columns) tested on full target benign + **all** target attacks. Aggregator fit on target benign val only — no attack labels at any stage. Diagonal italic = within-dataset. | Source ↓ / Target → | CICIDS17 | CICDDoS19 | CICIoT23 | |---|---|---|---| | **CICIDS17** | _0.9826 ± 0.0035_ | **0.9690 ± 0.0047** | 0.8698 ± 0.0031 | | **CICDDoS19** | 0.9413 ± 0.0212 | _0.9918 ± 0.0005_ | 0.8767 ± 0.0068 | | **CICIoT23** | 0.9394 ± 0.0063 | 0.9030 ± 0.0075 | _0.9590 ± 0.0022_ | ### Mahalanobis-OAS aggregator Every JANUS forward pass emits a **10-d per-flow score vector** `s ∈ ℝ¹⁰`: ``` 3 continuous-side : terminal_norm, terminal_flow, terminal_packet (from the CFM head) 7 discrete-side : disc_nll_total + disc_nll_ch{2,3,4,5,6,7} (from the DFM head) ``` The deployable scalar is the Mahalanobis distance to the target-domain benign centre: ``` d²(s) = (s − μ)ᵀ Σ⁻¹ (s − μ), (μ, Σ) ← sklearn.covariance.OAS().fit(benign_val) ``` Reference implementation: `scripts/aggregate/cross_3x3_table.py` (cross matrix) and `scripts/aggregate/aggregate_score_router.py` (within-dataset + ablation slots). **What OAS is.** Oracle-Approximating Shrinkage (Chen et al. 2010) is a closed-form covariance estimator that interpolates between the empirical covariance `S` and a scaled identity prior: ``` Σ̂_OAS = (1 − ρ) · S + ρ · (trace(S) / p) · I ``` where `ρ ∈ [0, 1]` is chosen analytically to minimise MSE against the true covariance under a Gaussian assumption. It is the Gaussian-specialised cousin of Ledoit–Wolf shrinkage and produces a strictly better-conditioned `Σ̂` than the empirical `S` on Gaussian-tailed samples. **Why OAS (vs empirical / Ledoit–Wolf).** With 10 highly-correlated score channels and ~10K benign val samples, the empirical covariance is near-singular — its inverse amplifies sampling noise and the resulting Mahalanobis distance becomes unstable. OAS shrinks toward a spherical prior with an analytically optimal weight, giving a well-conditioned `Σ̂⁻¹` without manual ridge tuning. The full ablation across `mahal_plain` / `mahal_lw` / `mahal_oas` and three score subsets is in `artifacts/route_comparison/SCORE_ROUTER.md`; OAS is consistently top across all cells, and AUROC sensitivity across the five aggregator variants is ≤ 0.005. **Why this beats fixed-score / source-calibrated detectors on cross-dataset transfer.** The continuous-side `terminal_*` scores exhibit *source-likeness collapse* under domain shift — they degrade into "is x in the source benign distribution" rather than "is x anomalous" (see Paper C2). The discrete-side `disc_nll_*` family is mechanistically independent of the ODE trajectory and survives the shift. Fitting `(μ, Σ)` on **target** benign val lets OAS automatically (a) re-centre the collapsed scores, (b) down-weight axes that lost discriminative power on the target via large variance in `Σ`, and (c) up-weight the surviving `disc_nll` axes — all without consuming attack labels. This is unsupervised "score routing" by covariance geometry. **Prerequisite assumptions.** Three, in order of how much they bite in practice: 1. **Same-distribution benign**: target benign val and test-time benign are i.i.d. samples of the same target benign distribution. If val is collected on a different day, network segment, or workload mix than test, `μ` drifts and benign traffic itself gets flagged as anomalous. The aggregator solves *source ≠ target*, not *val ≠ test within target*. 2. **Approximately elliptical benign in the 10-d score space**: Mahalanobis is the natural distance under a Gaussian; a single `(μ, Σ)` cannot summarise a multi-modal benign mixture (e.g. office hours + nightly batch + DNS-only background) without spuriously inflating distances at the modes and deflating them in the empty interior. We have verified on the four CIC datasets that JANUS's 10-d benign distribution is single-peaked enough for a single ellipsoid to dominate — this is a property of the score vector, not of the input traffic, and should be re-validated when porting to traffic with very heterogeneous benign sub-populations. 3. **Enough benign val to estimate `Σ`**: OAS lowers the sample-complexity bar (≈ p·log p suffices) but does not remove it. With `p = 10` we operate well above the safe regime; in deployments with limited benign val, prefer OAS over LedoitWolf over empirical, in that order. ### Ablations (architecture & aggregator) Two orthogonal ablation axes, each evaluated **within-dataset** (4 datasets × 3 seeds) **and** **cross-dataset** (3×3 transfer × 3 seeds): - **Group A** — 7 alternative aggregators on the same JANUS-full sub-score vector (post-processing only; no retraining). - **Group B** — 5 architecture variants, each retrained 4 datasets × 3 seeds = 60 runs + 90 cross-evals. Every load-bearing JANUS design choice has the **same shape of ablation curve**: small in-distribution cost, large cross-dataset gain. | Component (removed in ablation) | Variant | Within Δ | Cross-mean Δ | Cross-worst Δ | |---|---|---:|---:|---:| | FLOW token (global context) | B1 | **−0.94** | −6.70 | −19.97 | | Packet sequence | B2 | +0.15 | **−23.82** | **−36.27** | | Cont/disc head split (drop disc head) | B3 | +0.44 | **−13.14** | **−25.03** | | CFM head (drop continuous side) | B4 | **−2.37** | −2.03 | −2.86 | | Joint training of two heads | B5 | +0.20 | **−18.93** | **−27.54** | | OAS Mahalanobis aggregator | A1 vs A5 | +0.37 | **−15.88** | **−27.38** | Three ablations (B3 / B5 / A-aggregator) **marginally beat JANUS-full at within-dataset evaluation** but collapse on at least one cross-dataset transfer direction. The disc head, joint training, and OAS aggregator are deliberate trades: their value is exclusively in cross-dataset robustness. Full headline summary: `artifacts/ablation/ABLATION_SUMMARY.md`. Per-variant 3×3 cross matrices: `artifacts/ablation/ABLATION_CROSS_B_full.md` and `artifacts/ablation/ABLATION_TABLE_CROSS_full.md`.