SYSTEM AND METHOD TO MITIGATE DISTRIBUTED DENIAL OF SERVICE (DDoS) ATTACKS
US-2024259421-A1 · Aug 1, 2024 · US
US2021185084A1 · US · A1
| Field | Value |
|---|---|
| Publication number | US-2021185084-A1 |
| Application number | US-202016833041-A |
| Country | US |
| Kind code | A1 |
| Filing date | Mar 27, 2020 |
| Priority date | Dec 13, 2019 |
| Publication date | Jun 17, 2021 |
| Grant date | — |
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The disclosed embodiments determine a plurality of anomaly indications for a plurality of corresponding time series. A multi-modal model is defined for each time series. A first distribution is compared against a time series when the time series values fall within a first range and a second distribution is compared against the time series when the time series values fall with a second range. Based on the comparison, an indication of anomaly is generated for the time series. The indicators of anomaly for each time series are then combined using Fisher's method in some embodiments. The resulting combined anomaly indication is used to determine whether a network is experiencing a brute force attack.
Opening claim text (preview).
We claim: 1 . A method performed by hardware processing circuitry, comprising: obtaining a first time series of operational parameter values of a device attached to a network; comparing the values of the first time series to a first parameter value range and a second parameter value range; determining, based on the comparing, that the values of the first time series are within the first parameter value range; based on the determining, selecting, from a plurality of distributions, a first distribution; comparing the first time series to the selected first distribution; determining, based on the comparing, a first probability at which values in the first time series occur in the selected distribution; determining, based on the first probability, a likelihood of a brute force attack on the network; based on the first time series, adjusting a boundary between the first parameter value range and the second parameter value range; and determining, based on the adjusted boundary, a second likelihood of a brute force attack. 2 . The method of claim 1 , further comprising performing, based on the likelihood, a mitigating action. 3 . The method of claim 2 , wherein the mitigating action includes changing an access control policy of the network. 4 . The method of claim 3 , wherein the changing of the access control policy comprises programmatically configuring a firewall of the network. 5 . The method of claim 1 , wherein the adjusting of the boundary comprises updating a threshold value τ p defining the boundary between the first range and the second range, τ p defined according to: τ p : =E [ Y|Y>Q p−1 ] where: E[ ] is an expected value function, Y is the first time series, t p is a threshold value between the first range and the second range, and Q p is a qth quantile of a negative binomial distribution. 6 . The method of claim 1 , wherein the adjusting of the boundary further comprises updating parameters defining the first and second distributions based on the first time series. 7 . The method of claim 1 , wherein the parameters are updated via exponential smoothing and a grid of smoothing weights. 8 . The method of claim 7 , where at least one parameter of the distribution is updated according to: Φ t+ϵ =gΦ −1 [η t+ϵ ], where: Φ t+ϵ is the updated parameter, g Φ is a link function for a parameter Φ, η t+ϵ ={tilde over (α)} θ *M Φ [ y t+ϵ |η t ]+(1−{tilde over (α)} θ )*η t , where: M Φ is a central moment corresponding to the parameter Φ, {tilde over (α)} θ is a smoothing weight, η t is gΦ[Φ t ], and y t+ϵ is a sample value included in the first time series. 9 . The method of claim 1 , further comprising: determining a second time series for second operational parameter values of the device; selecting, based on the second time series, a second distribution; second comparing the second time series to the selected second distribution; determining, based on the second comparing, a second probability at which second values in the second time series occur in the selected second distribution; applying Fisher's method to the first probability and the second probability; and based on the applying, generating a combined indicator of anomaly, wherein the determining of the likelihood of the brute force attack is further based on the combined indicator. 10 . A system, comprising: hardware processing circuitry; one or more hardware memories storing instructions that when executed configure the hardware processing circuitry to perform operations comprising: obtaining a first time series of operational parameter values of a device attached to a network; comparing the values of the first time series to a first parameter value range and a second parameter value range; determining, based on the comparing, that the values of the first time series are within the first parameter value range; based on the determining, selecting, from a plurality of distributions, a first distribution; comparing the first time series to the selected first distribution; determining, based on the comparing, a first probability at which values in the first time series occur in the selected distribution; determining, based on the first probability, a likelihood of a brute force attack on the network; based on the first time series, adjusting a boundary between the first parameter value range and the second parameter value range; and determining, based on the adjusted boundary, a second likelihood of a brute force attack. 11 . The system of claim 10 , the operations further comprising performing, based on the likelihood, a mitigating action. 12 . The system of claim 11 , wherein the mitigating action includes changing an access control policy of the network. 13 . The system of claim 12 , wherein the changing of the access control policy comprises programmatically configuring a firewall of the network. 14 . The system of claim 10 , wherein the adjusting of the boundary comprises updating a threshold value τ p defining the boundary between the first range and the second range, τ p defined according to: τ p : =E [ Y|Y>Q p−1 ] where: E[ ] is an expected value function, Y is the first time series, t p is a threshold value between the first range and the second range, Q p is a qth quantile of a negative binomial distribution. 15 . The system of claim 10 , wherein the adjusting of the boundary further comprises updating parameters defining the first and second distributions based on the first time series. 16 . The system of claim 10 , wherein the parameters are updated via exponential smoothing and a grid of smoothing weights. 17 . The system of claim 16 , wherein at least one parameter of the distribution is updated according to: Φ t+ϵ =g Φ −1 [η t+ϵ ], where: Φ t+ϵ is the updated parameter, g Φ is a link function for a parameter Φ, η t+ϵ ={tilde over (α)} θ *M Φ [ y t+ϵ |η t ]+(1−{tilde over (α)}θ)*η t , where: M Φ is a central moment corresponding to the parameter Φ, {tilde over (α)} θ is a smoothing weight, η t is g Φ [Φ t ], y t+ϵ is a sample value included in the first time series. 18 . The system of claim 10 , the operations further comprising modeling a distribution of the first time series as a finite mixture of distributions P1[Y| 1], . . . Pm[Y| m], where each parameter p is a stochastic process. 19 . The system of claim 18 , wherein the first distribution and the second distribution are included in the finite mixture of distributions. 20 . A non-transitory computer readable storage medium comprising instructions that when executed configure hardware processing circuitry to perform operations comprising: obtaining a first time series of operational parameter values of a device attached to a network; comparing the values of the first time series to a first parameter value range and a second parameter value range; determining, based on the comparing, that the values of the first time series are within the first parameter value range; based on the determining, selecting, from a plurality of distributions, a first distribution; comparing the first time series to the selected first distribution; determining, based on the comparing, a first probability at which values in the first time series occur in the selected distribution; determining, based on the first probability, a likelihood of a brute force attack on the network; based on the first
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