Abstract: A disclosed method for implementing time decay in the analysis of streaming data objects is based on the age, referred to herein as the forward age, of a data object measured from a landmark time in the past to a time associated with the occurrence of the data object, e.g., an object's timestamp. A forward time decay function is parameterized on the forward age. Because a data object's forward age does not depend on the current time, a value of the forward time decay function is determined just once for each data object. A scaling factor or weight associated with a data object may be weighted according to its decay function value. Forward time decay functions are beneficial in determining decayed aggregates, including decayed counts, sums, and averages, decayed minimums and maximums, and for drawing decay-influenced samples.

Abstract: A method and apparatus for providing an anonymization of data are disclosed. For example, the method receives a request for anonymizing, wherein the request comprises a bipartite graph for a plurality of associations or a table that encodes the plurality of associations for the bipartite graph. The method places each node in the bipartite graph in a safe group and provides an anonymized graph that encodes the plurality of associations of the bipartite graph, if a safe group for all nodes of the bipartite graph is found.

Abstract: Described is a system and method for receiving a signal for transmission and encoding the signal into a plurality of linear projections representing the signal. The encoding includes defining a transform matrix. The transform matrix being defined by processing the signal using a macroseparation matrix, processing the signal using a microseparation matrix and processing the signal using an estimation vector.

Abstract: A method and an apparatus for providing an electronic commerce website over a network are disclosed. For example, the method receives a request for a product or a service from a customer via an electronic commerce website, and identifies internal information pertaining to the request, wherein the internal information is information known by a business enterprise of the electronic commerce website. The method also identifies external information pertaining to the request, wherein the external information is information obtained by the business enterprise from another entity, and sends the internal information and the external information pertaining to the request to the customer.

Abstract: This invention discloses continuous functional monitoring of distributed network activity using algorithms based on frequency moment calculations given by Fp=?imip. The frequency moment calculations are used to raise an alarm when a value exceeds a certain threshold. Frequency moments for p=0, 1, and 2 are described.

Abstract: A method and apparatus for providing an anonymization of data are disclosed. For example, the method receives a communications graph that encodes a plurality of types of interactions between two or more entities. The method partitions the two or more entities into a plurality of classes, and applies a type of anonymization to the communications graph.

Abstract: Methods and apparatus for ranking uncertain data in a probabilistic database are disclosed. An example method disclosed herein comprises using a set of data tuples representing a plurality of possible data set instantiations associated with a respective plurality of instantiation probabilities to store non-deterministic data in a database, each data tuple corresponding to a set of possible data tuple instantiations, each data set instantiation realizable by selecting a respective data tuple instantiation for at least some of the data tuples, the method further comprising determining an expected rank for each data tuple included in at least a subset of the set of data tuples, the expected rank for a particular data tuple representing a combination of weighted component ranks of the particular data tuple, each component rank representing a ranking of the data tuple in a corresponding data set instantiation, each component ranking weighted by a respective instantiation probability.

Abstract: Described is a system and method for receiving a data stream of multi-dimensional items, collecting a sample of the data stream having a predetermined number of items and dividing the sample into a plurality of subsamples, each subsample corresponding to a single dimension of each of the predetermined number of items. A query is then executed on a particular item in at least two of the subsamples to generate data for the corresponding subsample. This data is combined into a single value.

Abstract: Example methods and apparatus to construct histogram and wavelet synopses for probabilistic data are disclosed. A disclosed example method involves receiving probabilistic data associated with probability measures and generating a plurality of histograms based on the probabilistic data. Each histogram is generated based on items represented by the probabilistic data. In addition, each histogram is generated using a different quantity of buckets containing different ones of the items. An error measure associated with each of the plurality of histograms is determined and one of the plurality of histograms is selected based on its associated error measure. The method also involves displaying parameter information associated with the one of the plurality of histograms to represent the data.

Abstract: Methods and apparatus to determine statistical dominance point descriptors for multidimensional data are disclosed. An example method disclosed herein comprises determining a first joint dominance value for a first data point in a multidimensional data set, data points in the multidimensional data set comprising multidimensional values, each dimension corresponding to a different measurement of a physical event, the first joint dominance value corresponding to a number of data points in the multidimensional data set dominated by the first data point in every dimension, determining a first skewness value for the first data point, the first skewness value corresponding to a size of a first dimension of the first data point relative to a combined size of all dimensions of the first data point, and combining the first joint dominance and first skewness values to determine a first statistical dominance point descriptor associated with the first data point.

Abstract: Embodiments disclosed herein are directed to verifying query results of an untrusted server. A data owner outsources a data stream to the untrusted server, which is configured to respond to a query from a client with the query result, which is returned to the client. The data owner can maintain a vector associated with query results returned by the server and can generate a verification synopsis using the vector and a seed. The verification synopsis includes a polynomial, where coefficients of the polynomial are determined based on the seed. The data owner outputs the verification synopsis and the seed to a client for verification of the query results.

Abstract: Disclosed are method and apparatus for identifying members of a social network who have a high likelihood of providing a useful response to a query. A query engine examines the personal pages of a set of members and automatically gleans semantic information relevant to the query. From the automatically-gleaned semantic information, a score indicative of the likelihood that the member may provide a useful response is calculated.

Abstract: Described is a system and method for receiving a data stream of multi-dimensional items, collecting a sample of the data stream having a predetermined number of items and dividing the sample into a plurality of subsamples, each subsample corresponding to a single dimension of each of the predetermined number of items. A query is then executed on a particular item in at least two of the subsamples to generate data for the corresponding subsample. This data is combined into a single value.

Abstract: A method including receiving a plurality of elements of a data stream, storing a multi-dimensional data structure in a memory, said multi-dimensional data structure storing the plurality of elements as a hierarchy of nodes, each node having a frequency count corresponding to the number of elements stored therein, comparing the frequency count of each node to a threshold value based on a total number of the elements stored in the nodes and identifying each node for which the frequency count is at least as great as the threshold value as a hierarchical heavy hitter (HHH) node and propagating the frequency count of each non-HHH nodes to its corresponding parent nodes.

Abstract: A method including receiving a plurality of elements of a data stream, storing a multi-dimensional data structure in a memory, said multi-dimensional data structure storing the plurality of elements as a hierarchy of nodes, each node having a frequency count corresponding to the number of elements stored therein, comparing the frequency count of each node to a threshold value based on a total number of the elements stored in the nodes and identifying each node for which the frequency count is at least as great as the threshold value as a hierarchical heavy hitter (HHH) node and propagating the frequency count of each non-HHH nodes to its corresponding parent nodes.

Abstract: Described is a system and method for receiving a plurality of linear projections representing a signal and decoding the plurality of linear projections to produce a reconstruction of the signal. The decoding includes defining a transform matrix and reconstructing coefficients and transforming a dictionary into a modified dictionary for a vector of real numbers. The transforming the transform matrix is performed through a macroseparation matrix, a microseparation matrix, and an estimation vector.

Abstract: Aggregates are calculated from a data stream in which data is sent in a sequence of tuples, in which each tuple comprises an item identifier and a timestamp indicating when the tuple was transmitted. The tuples may arrive out-of-order, that is, the sequence in which the tuples arrive are not necessarily in the sequence of their corresponding timestamps. In calculating aggregates, more recent data may be given more weight by multiplying each tuple by a decay function which is a function of the timestamp associated with the tuple and the current time. The tuples are recorded in a quantile-digest data structure. Aggregates are calculated from the data stored in the quantile-digest data structure.

Abstract: Aggregates are calculated from a data stream in which data is sent in a sequence of tuples, in which each tuple comprises an item identifier and a timestamp indicating when the tuple was transmitted. The tuples may arrive at a data receiver out-of-order, that is, the sequence in which the tuples arrive are not necessarily in the same sequence as their corresponding timestamps. In calculating aggregates, more recent data may be given more weight by a decay function which is a function of the timestamp associated with the tuple and the current time. The statistical characteristics of the tuples are summarized by a set of linear data summaries. The set of linear data summaries are generated such that only a single linear data summary falls between a set of boundaries calculated from the decay function and a set of timestamps.

Abstract: Described is a system and method for receiving a signal for transmission and encoding the signal into a plurality of linear projections representing the signal. The encoding includes defining a transform matrix. The transform matrix being defined by processing the signal using a macroseparation matrix, processing the signal using a microseparation matrix and processing the signal using an estimation vector.

Abstract: A method of labeling unlabeled nodes in a graph that represents objects that have an explicit structure between them. A computing device can use a labeling engine to labeled nodes in a graph that are labeled and can identify an unlabeled node in the graph that is structurally associated with the labeled nodes. The labeling engine can label the unlabeled node with the label of the labeled node based on the structural association between the unlabeled node and the labeled node.