Method for Network-Based Behavioral Clustering of Malware
Execute Malware Samples to Get HTTP Traffic.
As explained above, in 201, given a set of malware samples M={m(i)} (where i=1 . . . N), each malware sample m(i) can be executed in a controlled environment (e.g., BotLab™) for a time T. The HTTP traffic trace H(m(i)) from each malware sample m(i) can then be stored.
For example, the following set of malware samples can be executed for a period of five minutes:
Note that the file name can represent the MD5 hash of the executable file, which can be a cryptographic hash function often expressed as a 32-digit hexadecimal number. The HTTP traffic trace from this set of malware samples could include:
For the first malware sample:
Note that the above trace (as well as the trace below) includes an HTTP request and the related HTTP response. For example, in the example above, the request starts with “GET . . . ” and ends with “Cache-Control: no-cache”. The response starts with “HTTP/1.1 200 OK” and ends with “[ . . . DATA . . . ]”.
For the second malware sample:
Partition Malware Samples into Clusters.
As explained above, in 205, the set of malware samples M can be partitioned into clusters using structural similarities among the HTTP traffic traces H(m(i)). In order to better attain high quality clusters and decrease costs of clustering, in some embodiments, as illustrated in
Single-linkage hierarchical clustering. Single-linkage hierarchical clustering can set up a dendrogram, which can be a tree-like data structure where leaves represent malware samples, and the length of the edges (i.e., the lines) represent the distance between clusters to help define relationships among malware samples. In order to apply single-linkage hierarchical clustering on the malware samples, distance (e.g., distance in Euclidean space, distance not in Euclidean space) can be defined between each pair of malware samples. A distance matrix D={dij} (where i,j=1 . . . n), can comprise a distance dij between each pair of objects (e.g., malware samples). For example, assuming we have three objects {o1, o2, o3}, an example of distance matrix D may be: 0 4 1 4 0 2 1 2 0.
In this matrix, o1, o2, o3 can be horizontal vectors or vertical vectors (note that they are symmetrical). Distance can be defined in any manner that usefully describes the difference between the malware. For example, if the three objects o1, o2, o3 are vectors with values representing features of three different malware samples, the distance between the malware samples can be defined as the difference between the different features (e.g., statistical features, structural features) of the malware samples. (For an example of how different features of data can be compared using a defined distance, see, e.g., U.S. Provisional Application 61/292,592, entitled, “Method and System for Detecting Malware”, which is herein incorporated by reference.) For example, the distance between the malware samples could be defined as the Euclidean distance between the vectors with values representing features of the different malware samples such that the distance between o1 and o2 is equal to 4, the distance between o1 and o3 is 1, and the distance between o2 and o3 is 2. Notice that D must be symmetric by definition, and the diagonal elements are equal to zero because the distance of an object to itself is always zero.
The single-linkage hierarchical clustering algorithm can take D as an input and can produce a dendrogram. An example dendrogram is shown in
Note that, in the example
For example, the set O can be a set of vectors of real numbers (e.g., representing statistical features of the malware). That is, the i-th member of O can be oi=[xi1, xi2, . . . , xin]. A concrete example may be oi=[2.1, 1E-9, −3, 100]. The distance between two objects may be the well-known Euclidean distance. A cluster Cs can be a subset of O that can include a certain number of objects belonging to O that are close to each other (and therefore form a group).
The obtained example
DB Index.
Clustering can involve utilizing a DB index to find the value of the height h of the dendrogram cut that produces the most compact and well-separated clusters. Thus, the DB index could indicate that the dendrogram needs to be cut at the grandparent or great-grandparent level in order to produce the most compact and well-separated clusters. The DB index can be based on a measure of intra-cluster dispersion (e.g., the average distance between all the possible pairs of objects within a cluster), and inter-cluster separation (e.g., the distance between the centers of the clusters). The DB index can be defined as: Δi,j=δi+δjδi,jDB(h)=1c(h)Σi=1c(h)max j=1.,c(h),j≈i{Δi,j} where δi and δj can represent a measure of dispersion for cluster Ci and Cj, respectively. In addition, δi,j can be the separation (or distance) between the two clusters, c(h) can be the total numbers of clusters produced by a dendrogram cut at height h, and DB(h) can be the related DB index. The lower the height h, the more compact and well separated the clusters can be. Therefore, the best clustering can be found by cutting the dendrogram at height h*=arg minh>0 DB(h).
For example, according to the
The leaves that form a connected sub-graph after the cut can be considered part of the same cluster. For example, using the example
Different values of the height h of the cut can produce different clustering results. For example, if the example
C1={o8, o3, o5}, C2={o4, o7, o1}, and C3={o2, o9, o6}.
Coarse-Grain Clustering.
For example, if we take into consideration the first malware and therefore the first HTTP traffic trace, the statistical features would be:
Because the range of statistical features can be wide, the dataset can be standardized so that the statistical features can have a mean equal to zero and a variance equal to 1. For example, each feature X can be replaced with X′=(X−m)/s, where m and s can represent the average and standard deviation of feature X, respectively. For example, assume we have the following values of feature X in an hypothetical dataset D: x1=2, y1=5, z1=−3.2. In this case the average is m=1.27 and the standard deviation is 4.15. After normalization, the new dataset D′ contains: x1′=0.18, y1′=0.90, z1′=−1.08.
Once the statistical features are standardized, the Euclidian distance can be applied. The Euclidean distance is a well-known, formally defined distance between vectors of numbers. It is defined as d(x,y)=sqrt(sumi(xi−yi)2), where sqrt is the root square function, sumi is the summation across index i, xi is the i-the element of pattern vector x, and yi is the i-th element of pattern vector y.
Thus, for example, if the Euclidean distance is applied to the standardized dataset D′, the resulting distance matrix is:
because d(x1′, x1′)=0, d(x1′, y1′)=0.72, d(x1′, z1′)=1.25, d(y1′, x1′)=0.72, d(y1′, y1′)=0, d(y1′, z1′)=1.98, d(z1′, x1′)=1.25, d(z1′, y1′)=1.98, d(z1′, z1′)=0, where the function d( ) is the Euclidean distance defined above.
Once the course grain distance is found using the Euclidean distance definition, the set of malware samples M can then be partitioned into coarse-grain clusters by applying the single-linkage hierarchal clustering algorithm and cluster validity analysis based on the DB index as described above. As with the example
It should be noted that course-grain clustering, fine-grain clustering, and cluster merging all use the DB index with the dendrogram and dendrogram cut. Only the formal description of the objects to be clustered and the function used to measure the definition of distance between pairs of objects needs to be changed.
Fine-Grain Clustering.
Referring again to
dr(rk(i),rh(j))=wm·dm(rk(i),rh(j))+wp·dp(rk(i),rh(j))+wn·dn(rk(i),rh(j))+wv·dv(rk(i),rh(j))
Where m, p, n, and v represent different parts of an HTTP request, as depicted in
Specifically, m can represent a request method (e.g., GET, POST, HEADER), and the distance dm(rk(i), rh(j)) between these components of the requests is equal to 0 if the requests rk(i) and rh(j) both use the same method (e.g., both are GET requests). Otherwise, if the requests do not use the same method, the distance dm(rk(i), rh(j)) is equal to 1. For example, the example malware 1 and malware 2 traffic set forth above indicates that both are GET requests. Thus, the distance dm between them is equal to 0.
The subscript p can represent the first part of the URL that includes the path and page name (e.g., p=act/command.php in
The subscript n can represent a set of parameter names (e.g., n=id, version, cc in
For example, if it is assumed that A={apple, tree, banana, orange}, and B={pineapple, orange, tree, fruit, juice}. The elements in common to sets A and B are tree and orange=2 elements The union of A and B can thus be equal to {apple, tree, banana, orange, pineapple, fruit, juice}=7 elements. Therefore, the Jaccard distance between A and B can be J(A,B)=1− 2/7=1−0.286=0.714.
The subscript v can be the set of parameter values, and distance dv(rk(i), rh(j)) can be equal to the normalized Levenschtein distance between strings obtained by concatenating the parameter values (e.g., 0011.0US in
The factors wx, where xϵ{m, p, n, v}, can be predefined weights (the actual value that can be assigned to weights wx are discussed below with respect to
Using the above information, the fine-grain distance between two malware samples can then be defined as the average minimum distance between sequences of HTTP requests from the two samples. Thus:
Once the fine-grain distance is found between malware samples, the single-linkage hierarchical clustering algorithm and the DB cluster validity index can then be applied to split each coarse-grain cluster into fine-grain clusters. Thus, as with the example
It should be noted that, while GET requests have the parameter names and the parameter values “inline” in the URL (e.g., see
It also should be noted that, in some embodiments, the fine-grain distance between malware samples does not need to take into account the domain name or IP address related to the Web server to which the HTTP requests are sent, because this information may change frequently from one malware variant to another (e.g., the attacker can rapidly move from one control server to another, and the already-infected machines can be updated by sending them an update server command.) However, in some embodiments, the domain name and/or IP address related to the Web server can be used.
Cluster Merging.
While fine-grain clustering (which is performed after coarse-grain structuring) is based on structural features, coarse-grain clustering is based on statistical features, and thus malware belonging to the same family (according to their HTTP behavior in terms of the HTTP traffic they generate) can end up in different coarse-grain, and in turn, fine-grain clusters. Thus, in 315 (
As set forth in 405, cluster centroids are first defined. If Ci={mk(i)} (where k=1 . . . ci) is a cluster of malware samples, Hi={H(mk(i))} (where k=1 . . . ci) can be the related set of HTTP traffic traces obtained by executing each malware sample in Ci. For example, the traffic trace from the first malware example given above may be used as one of the traffic traces in Hi. As explained earlier, this traffic trace can be obtained by executing one of the malware samples in Ci.
Thus, for example, if the first malware sample in cluster C1 is:
Similarly, if the second malware sample in cluster C1 is:
The centroid of Ci can be represented as a set of network signatures Si={sj} (where j=1, . . . li) from a set of HTTP request pools Pi={pj} (where j=1, . . . li).
For example, a centroid could comprise the following two signatures:
In order to create a set of request pools Pi, one of the malware samples in cluster Ci can be randomly selected as the centroid seed. For example, assume mh(i) is the first malware sample given above (1854b17b1974cb29b4f83abc096cfe12.exe) and assume this is picked as the centroid seed. Then, the set of HTTP requests in the HTTP traffic trace can be H(mh(i))={rj} (where j=1, . . . li), where rj represents the j-th HTTP request in the traffic trace H(mh(i)). The pool set Pi can be initialized by putting each request rj in a different (and until initialized, empty) pool pj (where j=1, . . . li). Using the definition of distance dp (rk(i), rh(j)), for each request rjϵH(mh(i)), the closest request r′kϵH(m(i)g) can be found from another malware sample m(i)gϵCi, and r′k can be added to the pool pj. This can be repeated for all malware mg(i)ϵCi, where g≠h. After this process is complete, and pool pj has been constructed with HTTP requests, the same process can be followed to construct additional pools pj′≠j, starting from request rj′ϵH(mh(i)), until all pools pj (where j=1, . . . li) have been constructed.
Once the pools have been filled with HTTP requests, a signature sj can be extracted from each pool pj, using a Token Subsequences algorithm. A Token Subsequences signature can be an ordered list of invariant tokens (e.g., substrings that are in common to all the requests in a request pool p). Therefore, a signature sj can be written as a regular expression of the kind t1.*t2.* . . . *tn, where the t's are invariant tokens that are common to all the requests in the pool pj. For example, the example (a) of
As set forth in 410, once a cluster centroid has been computed for each fine-grain cluster, the distance between pairs of centroids d(Si, Sj) (which also represents the distance between clusters Ci and Cj) can be computed. As indicated above, the centroid Si={sk}, where k=1, . . . li, comprises a set of network signatures St. As noted above, a centroid may comprise the following set of two signatures:
The distance between pairs of signatures can be determined as follows. For example, si can be the signature in example (a) of
where agrep (si, s′j) can be a function that performs approximate matching of regular expressions of the signature si on the string s′j, and returns the number of encountered matching errors; and length(s′i) can be the length of the string s′i. It should be noted that approximate matching can be a defined difference between signatures.
For example, consider the following two signatures:
For example consider the following signatures:
Given the above definition of distance between signatures, the distance between two centroids (i.e., two clusters) can be defined as the minimum average distance between two sets of signatures. Thus,
where s1ϵSi, sjϵSj, and li and lj represent the number of signatures in centroid Si and centroid Sj, respectively. It should be noted that when computing the distance between two centroids, only signatures sk for which length (s′k)≥λ are considered, in order to avoid applying the agrep function on short signatures. Here, s′k again the plain text version of sk, length (s′k) is the length of the string s′k, and λ is a predefined length threshold (e.g., λ=10). The threshold λ can be chosen to avoid applying the agrep function on short, and sometimes too generic signatures that would match most HTTP requests (e.g., sk=GET /.*), and would thus artificially skew the distance value towards zero.
As set forth in 415, once the cluster merging distance is found, the single-linkage hierarchical clustering algorithm can be applied in combination with the DB validity index to find groups of clusters (or meta-clusters) that are close to each other. Thus, as with the example
The clusters that are grouped together by the hierarchical clustering algorithm can then be merged to form one larger cluster of malware samples that share similar HTTP traffic behavior. For example, it can be assumed that clusters C1={o8, o3, o5}, C2={o4, o7, o1}, and C3={o2, o9, o6} have been obtained from the meta-clustering process. In this case, the objects o1, o2, etc., can represent clusters of malware, and the clusters C1, C2, and C3 can be meta-clusters (i.e., clusters of clusters). At this point, we can merge o8, o3, and o5 to obtain a new cluster of malware Om1, then we can merge o4, o7, and o1 to obtain a new cluster of malware Om2, and merge o2, o9, and o6 to obtain a new cluster of malware Om3.
The HTTP traffic generated by the malware samples in each meta-cluster can then be used as input to an automatic network signature generation algorithm, as explained below.
Extract Network Signatures from Clusters.
As set forth above, in 210, the HTTP traffic generated by the malware samples M in the same cluster can be processed by extracting network signatures. Thus, once clusters are found that share similar HTTP behavior, for each of these clusters C′i (where i=1 . . . c), an updated centroid signature set S′i can be computed using the same algorithm used for computing cluster centroids. As mentioned above, when extracting the signatures, only the HTTP request method and complete URL can be considered, as shown in (a) of
Filter Out Network Signatures that May Generate False Alarms.
As set forth above, in 212, network signatures that may generate false alarms can be filtered out. After the network signatures are generated, and before the network signatures are deployed, filtering can be done to minimize the probability that the deployed signatures will generate false alarms. To this end, a network signature pruning process can be performed.
Given a set of network signatures S, each signature s in S can be matched against a set D of real URLs that are considered to be legitimate. The set D can be collected from live network traffic. In some embodiments, the set D can be collected in a privacy preserving way. This can be done because URLs sometimes embed personal information such as login names and passwords. Therefore, is some embodiments, collecting an storing such types of URLs can be avoided.
For example, if a URL U is represented by the portion of the following address highlighted in bold:
http:www.damballa.com/overview/index.php
then U=“/overview/index.php”. When monitoring network traffic at the edge of a network, as shown by 805 in
In some embodiments, a privacy-preserving URL collection algorithm (Algorithm 1) can be used:
Algorithm 1 above can thus put the Us where the number of different source IPs from which those particular Us were queried was greater than or equal to a certain number K (e.g., 3), in the set A. The set A, which can represent likely anonymous URLs, can be stored and used for D.
For example, if a network of eight machines is being monitored, and each machine has a different IP address in the range from 10.0.0.1 to 10.0.0.8, the machines in the monitored network could visit certain URLs in the following sequence:
This can be because “/index.php?page=3&version=0.1” was queried by three different IPs, namely {10.0.0.1, 10.0.0.2, 10.0.0.6}, and “/index.html” was also queried by three different IPs, namely {10.0.0.3, 10.0.0.4, 10.0.0.5}.
In other embodiments, another algorithm (Algorithm 2) can be used to collect a higher number of likely anonymous URLs. As background for one reason why Algorithm 2 can be used to collect a higher number of likely anonymous URLs, the following example can be considered. If two clients query for the following URLs:
Thus, in order to collect both anonymous URLs and anonymous URL structures, the following algorithm (Algorithm 2) can be used:
Algorithm 2 above can thus put the Us where the number of different source IPs from which the structure of those particular Us were queried was greater than or equal to a certain number K, in the set A. As indicated above, the set A, which can represent likely anonymous URLs, can be stored and used for D.
For example, similar to the example of Algorithm 1, if a network of eight machines is being monitored, and each machine has a different IP address in the range from 10.0.0.1 to 10.0.0.8, the machines in the monitored network could visit certain URLs in the following sequence:
It should also be noted that, in some embodiments, Algorithm 1 and Algorithm 2, or any combination of these algorithms, can also be utilized.
Deploy Network Signatures to Detect Malicious HTTP Requests.
As set forth above, in 215, the network signatures can be deployed (e.g., using intrusion detection system 130) to detect malicious outbound HTTP requests, which are a symptom of infection.
It should be noted that some malware samples may contact malicious websites (e.g., the C&C server of a botnet) as well as legitimate websites (e.g., a search engine such as yahoo.com or msn.com). Therefore, some of the signatures s′kϵS′i, which are extracted from the HTTP traffic generated by malware samples in cluster C′i may fortuitously match legitimate HTTP requests, thus generating false positives. In some embodiments, it can be assumed that there is no a priori information relating to why some malware try to contact a legitimate website, and thus it can be hard to apply simple traffic prefiltering (e.g., using domain name whitelisting). For example, some malware may contact yahoo.com to actually perpetrate part of their malicious actions, using very specific search queries that are rare, or may not be seen at all in legitimate traffic. Therefore, prefiltering all the HTTP requests to yahoo.com may not be a good because information (e.g., HTTP requests are signatures) that are specific to certain malware families could be discarded.
In order to solve this problem, instead of using prefiltering of the HTTP traffic towards legitimate websites, a post-filtering signature pruning process can be applied. Given a set of signatures (e.g., a cluster centroid) S′i, the signatures s′kϵS′i can be matched against a large dataset of legitimate HTTP requests. The signatures that generate any alert can be filtered out, and only the signatures that do not match any legitimate HTTP request can be kept to form a pruned signatures set S″i. The pruned signature set S″i can then be deployed into intrusion detection system 130 to identify compromised machines within the monitored network with a very low false positive rate. For example, the signatures:
Perform Clustering Validation to Determine how Well Clustering was Done.
In some embodiments, it can be desirable to analyze the clustering results by quantifying the level of agreement between the obtained clusters and the information about the clustered malware samples given by different anti-virus (AV) scanners. At least one AV label graph, which can utilize at least one cohesion index and at least one separation index, can be used, as described below.
AV Label Graphs.
AV label graphs can map the problem of measuring cohesion (or compactness) and separation of clusters in terms of graph-based indexes (i.e., a cohesion index and a separation index). Both cohesion and separation can be measured in terms of the agreement between the labels assigned to the malware samples in a cluster by multiple AV scanners. In practice, the cohesion of a cluster can measure the average similarity between any two objects in the cluster, and can be maximized when the AV scanners consistently label the malware samples in a cluster as belonging to the same family (although different AVs may use different labels, as explained below.) On the other hand, the separation between two clusters Ci and Cj can measure the average label distance between malware belonging to Ci and malware belonging to Cj, and can give an indication about whether the malware samples in the two clusters were labeled by the AV scanners as belonging to different malware families or not. The clusters generated by the behavioral clustering can have maximum cohesion and be well separated at the same time, in one embodiment. It should be noted, however, that since the AV labels themselves are not always consistent, the measures of cluster cohesion and separation may give only an indication of the validity of the clustering results. The cluster cohesion and separation indexes can be devised to mitigate possible inconsistencies among AV labels. Thus, the system can be a tool for analyzing and comparing the results of malware clustering systems with traditional AV labels.
1. A node can be created in the graph for each distinct AV malware family label. A malware family label can be identified by extracting the first AV label substring that ends with a “.” character. For example, the first malware sample of portion a of
2. Once all the nodes have been created for all the malware samples (e.g., all the malware samples in portion a of
3. A weight equal to 1−(m/n) can be assigned to each edge, where m represents the number of times the two malware family labels connected by the edge have appeared on the same line in the cluster (e.g., for the same malware sample) and n is the total number of samples in the cluster (e.g., n=8 in the example in
As seen from
An AV label graph can be an undirected weighted graph. For example, given a malware cluster Ci={mk(i)} (where k=1 . . . ci if Γi={L1=(l1, . . . , lv)1, . . . , Lc
Cohesion Index.
The cohesion index can be defined as follows: Given a cluster Ci, let Gi={Vk(i), Ek
where n is the number of malware samples in the cluster, and v is the number of different AV scanners.
For example, if sup (wk
Separation Index.
The separation index can be defined as follows: Given two clusters Ci and Cj and their respective label graphs Gi and Gu, let Cij be the cluster obtained by merging Ci and Cj, and Gij be its label graph. By definition, Gij will contain all the nodes Vk(i)ϵGi and Vh(j)ϵGj. The separation index S(Ci, Cj) between Ci and Cj can be defined as:
where Δ(Vk(i) and Vh(j)) can be the shortest path in Gij between nodes Vk(i) and Vh(j), and γ is the “gap” described above with respect to the cohesion index.
It should be noted that the separation index can take values in the interval [0, 1]. For example, S(Ci, Cj) can be equal to zero if the malware samples in clusters Ci and Cj are all consistently labeled by each AV scanner as belonging to the same malware family. Higher values of the separation index can indicate that the malware samples in Ci and Cj are more and more diverse in terms of malware family labels, and can be perfectly separated (i.e., S(Ci, Cj)=1) when no intersection exists between the malware family labels assigned to malware samples in Ci, and the ones assigned to malware sample Cj.
While various embodiments of the present invention have been described above, it should be understood that they have been presented by way of example, and not limitation. It will be apparent to persons skilled in the relevant art(s) that various changes in form and detail can be made therein without departing from the spirit and scope of the present invention. Thus, the present invention should not be limited by any of the above-described exemplary embodiments.
In addition, it should be understood that the figures described above, which highlight the functionality and advantages of the present invention, are presented for example purposes only. The architecture of the present invention is sufficiently flexible and configurable, such that it may be utilized in ways other than that shown in the figures.
Further, the purpose of the Abstract of the Disclosure is to enable the U.S. Patent and Trademark Office and the public generally, and especially the scientists, engineers and practitioners in the art who are not familiar with patent or legal terms or phraseology, to determine quickly from a cursory inspection the nature and essence of the technical disclosure of the application. The Abstract of the Disclosure is not intended to be limiting as to the scope of the present invention in any way.
It should also be noted that the terms “a”, “an”, “the”, “said”, etc. signify “at least one” or “the at least one” in the specification, claims and drawings.
Finally, it is the applicant's intent that only claims that include the express language “means for” or “step for” be interpreted under 35 U.S.C. 112, paragraph 6. Claims that do not expressly include the phrase “means for” or “step for” are not to be interpreted under 35 U.S.C. 112, paragraph 6.
This application is a continuation of U.S. patent application Ser. No. 13/008,257, filed Jan. 18, 2011, which claims priority of U.S. provisional patent application 61/296,288, filed Jan. 19, 2010, the entirety of which are incorporated by reference in their entireties.
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Number | Date | Country | |
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20150026808 A1 | Jan 2015 | US |
Number | Date | Country | |
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61296288 | Jan 2010 | US |
Number | Date | Country | |
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Parent | 13008257 | Jan 2011 | US |
Child | 14317785 | US |