The Outlier Lab

Velocity Signals

Counts, sums, distinct counts and rates of events per entity over time windows: the core feature pattern behind most transaction fraud rules and models, and how to design it well.

What it measures

Velocity is the most-used and most under-designed feature family in fraud. Every velocity feature is a combination of four choices:

aggregation of event per entity over window e.g., distinct cards of authorization attempts per device over the last 1 hour

DimensionOptionsNotes
Entity (group-by key)Account, customer, device, IP / subnet, email (canonical), phone, address (canonical), card / BIN, bank account, payout destination, merchant / store, offer / promo code, payee, referral code, sessionChoose entities your adversary finds expensive to change
EventLogins, failed logins, sign-ups, card adds, auth attempts, declines, deposits, ACH links, withdrawals, payee adds, receipt submissions, redemptions, refunds, claims, contact changesInclude failures and attempts, not only successes
AggregationCount, sum of amount, distinct count of a second entity, max, ratio (declines/attempts), time since last, first-seenDistinct counts are where cross-entity velocity lives
WindowSliding (last N minutes/hours/days), tumbling (calendar hour/day), session, lifetime, exponentially decayedShort windows catch bursts; long windows catch slow builds

Why it matters

Almost every scaled transaction fraud attack has to do more of something than a legitimate customer would: more attempts, more accounts, more instruments, more money in or out, faster than normal. Velocity features measure that excess directly.

MechanismVelocity shape (conceptual)
Card TestingMany authorization attempts and distinct cards per device, IP, account or merchant endpoint; high decline ratios
Credential StuffingMany failed logins per IP or subnet; many distinct accounts per device; success rate spikes at population level
Multi-Accounting, Fake Account Creation (Bots)Many sign-ups per device, IP, canonical email pattern, address or payout destination
Promo Code Abuse, Referral Abuse, Sign-Up Bonus AbuseMany redemptions per code, per referrer, per device; referred accounts converting in bursts
Receipt Fraud (Cashback)Many submissions per account, per store, per receipt fingerprint; same receipt across accounts
Instant Funding Abuse (Kiting), ACH Funding FraudDeposits and provisional credit growing faster than settled history; many bank links per account
Money Mules, Fast In Fast Out PatternsMany distinct inbound senders per account; inbound followed quickly by outbound totals of similar size
Bust-Out FraudUtilization and transaction velocity rising sharply versus the account's own history
Real-Time Payment Rail FraudMultiple new payees and high outbound sums in short windows, especially after account changes
Refund and Return Fraud, Buyer Protection Claim Abuse (INR and SNAD)Claims and refunds per account, per address, per payment instrument over long windows

Velocity is also how you contain a loss once something has slipped through. Velocity and Exposure Limits are velocity features with an enforcement action attached.

Design patterns

1. Single-entity velocity

Counts and sums for one entity: "withdrawals per account per 24h", "logins per account per hour". These are necessary but easy to dilute, because the attacker can spread activity across accounts.

2. Cross-entity velocity (distinct-count features)

The form is distinct B per A over a window. It's the highest-value pattern because it measures fan-in and fan-out, which is how operations show up:

FeatureDetects
Distinct accounts per deviceMulti-accounting, farms, ATO from one attacker device
Distinct cards per device / per accountCard testing, stolen-card cycling
Distinct devices per accountShared or stolen credentials; account sharing and resale
Distinct senders per recipient accountMule collection accounts
Distinct accounts per payout destinationPayout consolidation by a ring or ATO operator
Distinct accounts per bank account (ACH link)Funding source reuse across identities
Distinct referees per referral code per dayReferral farming
Distinct shipping addresses per cardStolen card used across drops

Fan-out from a stable entity (one device → many accounts) and fan-in to a cash-out point (many accounts → one payout destination) are the two shapes to cover first. Two-hop versions are graph work; see Entity Link Analysis and Graph Analytics.

3. Relative velocity (versus own baseline)

"Today's outbound vs this account's trailing 90-day daily average." This catches Bust-Out Fraud, ATO cash-outs and scams on established accounts, where absolute amounts may be normal for the population but abnormal for this customer. Use ratios or z-scores against the entity's own history, with a floor for new entities.

4. Population velocity (sentinels)

Aggregates across all entities: sign-ups per minute, approval rate per BIN, redemptions per offer per hour, login success rate. These are attack alarms more than per-event features, and they are the fastest way to spot a new MO or a Business Logic Exploitation in progress. See Playbook - Novel Attack Detection Members and Fraud Incident Response.

5. Sequence-aware velocity

"Payout destination changes in the 7 days before a withdrawal", "time since last contact change at the moment of transfer". These bridge velocity and Session Behavior Anomalies: the window is anchored on a risky event rather than on "now".

Windows and decay

Window typeHow it behavesUse whenWatch out for
Sliding (last N)Updated per event; exact boundariesReal-time decisions; burst detectionStorage and compute cost at high cardinality
Tumbling (calendar)Fixed buckets (this hour, today)Reporting, limits that reset ("daily withdrawal limit")Boundary gaming: activity split across midnight
Hopping / bucketed slidingSum of small buckets (e.g., 5-minute buckets to approximate 1 hour)Scalable approximation of sliding windowsApproximation error at edges
SessionBounded by session start/endIn-session behaviorSession definition varies by channel
Exponential decayEach event's weight decays with age; one running value per entityLong-memory features with small state; "recent but not only recent"Harder to explain; choose half-life deliberately
Lifetime / since-first-seenCumulativeTenure, total exposureDominated by old behavior

Compute the same feature over several windows. A small family (minutes, hours, days, weeks) lets rules and models see both bursts and slow builds. Ratios between windows (last hour vs last week's hourly average) are often more predictive than either window alone.

Exponential decay is underused. A decayed counter keeps a single number per entity that reflects recent activity more than old activity, without storing every event. It suits long-memory features like "claims behavior" or "returns propensity" where calendar windows are too blunt.

How to collect it

  • Build. Velocity is only as good as your entity resolution and event logging. Most of the difficulty is engineering:
    • Point-in-time correctness. Training features must be computed as of each historical event, using only data available then. Leakage here is the most common reason a velocity-heavy model looks great offline and disappoints in production. See Fraud Data Architecture.
    • Online/offline parity. The real-time feature store and the batch training pipeline must compute the same thing. Test this explicitly.
    • Late and out-of-order events. Returns, chargebacks and ACH returns arrive days later. Decide whether features use event time or processing time, and document it.
    • Idempotency. Retries and duplicate events inflate counts. Deduplicate on event IDs.
    • Cardinality and hot keys. Shared IPs (carrier NAT) and popular merchants are "hot" entities with huge counts. Cap, sample, or exclude them, or the feature becomes noise and the store becomes slow.
    • Approximate distinct counts. Probabilistic sketches make high-cardinality distinct counts feasible at scale. Accept small error for big savings, but not where an exact count is a regulatory limit.
  • Buy. Fraud platforms and payment processors ship velocity features on their own entities (cards, merchants, network-level counts) that you can't compute yourself. Consortium velocity (activity across institutions) is a buy-only signal; see Credit Bureau and Consortium Signals.

How to use it

  • Pick entities attackers can't cheaply rotate. Velocity on IP alone is easy to dilute through residential proxies (IP Reputation and Proxy Detection). Velocity on payout destination, funding bank account, or a hardware-anchored device key is much more expensive to dilute.
  • Count attempts and failures as well as successes. Card testing and stuffing are visible in declines and failed logins long before any success.
  • Normalize by exposure. "Five redemptions per day" means something different for a power user than for a two-day-old account. Combine with tenure (Customer Tenure and History).
  • Use velocity to set limits as well as to flag. Velocity and exposure limits cap the damage of what detection misses, especially on instant rails and provisional funds (Velocity and Exposure Limits, Funds Availability Holds).
  • Feed models and rules from the same feature store, so rule authors and data scientists aren't maintaining two definitions of "withdrawals in 24 hours" (Rules Engine, Machine Learning Models).
  • Document every feature (entity, event, aggregation, window, time semantics, owner). Undocumented velocity features become unexplainable rule triggers during audits and QA (Rule Governance and Change Management).

Strengths and limitations

Strengths: simple, explainable, cheap at decision time; works across every industry and rail; the backbone of both rules and models; essential for containment.

Limitations:

  • Fixed velocity limits can be probed and then operated just under. Keep thresholds internal, prefer scored features over published hard limits, and vary responses. Assume any static limit will eventually be learned.
  • Distributed attacks dilute single-entity velocity. Cross-entity and population features are the countermeasure.
  • Slow attacks (aged accounts, patient bust-outs) stay under short windows. Long windows and relative velocity address this.
  • Engineering debt in feature pipelines is a frequent root cause of silent detection failures. Monitor feature distributions and null rates (Model Risk Management).

False positives and fairness

  • Legitimate bursts: payday, holidays, tax refunds, promotions you launched yourself, market volatility for brokerage customers, and end-of-month bills.
  • Shared entities: households, carrier NAT, campus networks and office IPs inflate counts on device, IP and address.
  • Power users and small businesses: resellers, gig workers receiving many P2P payments, and others using consumer accounts heavily. Distinct-senders-per-recipient features over-fire on them, so consider segment-specific baselines.
  • Benefit and payroll timing concentrates inflows for lower-income customers on specific days. Population baselines should know the calendar.

Privacy and compliance considerations

  • Velocity features are derived from personal data and inherit its obligations. Keep them in fraud-purpose stores with defined retention (Privacy and Data Use in Fraud Prevention).
  • Nacha's 2026 fraud-monitoring rules require ODFIs and many originators, third-party service providers and third-party senders to have risk-based processes reasonably intended to identify entries suspected of being unauthorized or authorized under false pretenses. Phase 1 took effect March 20, 2026 and Phase 2 on June 19, 2026 (practically June 22, because June 19 is a federal holiday). Velocity on originations, payees and returns is a natural part of such processes. See Nacha Rules and ACH Risk.
  • NIST SP 800-63A-4 lists transaction analytics, including velocity anomalies, among recommended fraud checks for identity proofing.
  • Customer-facing limits (daily transfer limits) should be disclosed where required. Internal detection thresholds should not be.

Mechanisms it helps detect

Card Testing · Credential Stuffing · Fake Account Creation (Bots) · Multi-Accounting · Promo Code Abuse · Referral Abuse · Sign-Up Bonus Abuse · Receipt Fraud (Cashback) · Instant Funding Abuse (Kiting) · ACH Funding Fraud · Money Mules · Bust-Out Fraud · Real-Time Payment Rail Fraud · Refund and Return Fraud

Sources and further reading