Abstract:
The invention is an improved retrieval system and method. Many pattern recognition tasks, including estimation, classification, and the finding of similar objects, make use of linear models. For example, many text retrieval systems represent queries as linear functions, and retrieve documents whose vector representation has a high dot product with the query. The fundamental operation in such tasks is the computation of the dot product between a query vector and a large database of instance vectors. Often instance vectors which have high dot products with the query are of interest. The invention relates to a random sampling based retrieval system that can identify, for any given query vector, those instance vectors which have large dot products, while avoiding explicit computation of all dot products.
Abstract:
The invention relates to streaming algorithms useful for obtaining summaries over unaggregated packet streams and for providing unbiased estimators for characteristics, such as, the amount of traffic that belongs to a specified subpopulation of flows. Packets are sampled from a packet stream and aggregated into flows and counted by implementation of Adaptive Sample-and-Hold (ASH) or Adaptive NetFlow (ANF), adjusting the sampling rate based on a quantity of flows to obtain a sketch having a predetermined size, the sampling rate being adjusted in steps; and transferring the count of aggregated packets from SRAM to DRAM and initializing the count in SRAM following adjustment of the sampling rate.
Abstract:
A method and apparatus provide improved cache coherency and more effective caching operations without placing an undue burden on network links. A proxy receives a request for a resource and then, depending on information in the proxy cache, generates a resource request for transmission to a resource server. The proxy appends a proxy filter to the request. The resource server maintains one or more volumes of resources based on some predetermined criterion that can be either static or dynamic in nature. Upon receipt of the request and the proxy filter the resource server generates a request response and a piggybacked list of additional resources selected from the volume with which the requested resource is associated.
Abstract:
Methods and systems for estimate derivation are described. In one embodiment, a query may be received with a predicate for sets over a collection of items. Associated samples associated with the query may be accessed. Items of an associated sample may be accessed from the collection of items. A determination of whether the predicate is an attribute-based selection from a union of at least some sets may be made. Available items of the particular associated sample may be selected from the items. Identified items may be identified among the available items in the associated sample that satisfy the predicate. An adjusted weight may be assigned to an item based on a weight of the item and a distribution of the associated samples. An estimate may be generated based on the adjusted weight of the identified items of the associated samples that satisfy the predicate. Additional methods and systems are disclosed.
Abstract:
A method and apparatus for processing top-k queries are disclosed. For example, the method receives a top-k query with a value for a number of samples and a value of a confidence parameter. The method samples in accordance to the number of samples, and determines a top-k weight of a sample top-k set. The method bounds the top-k weight in an interval having an upper bound and a lower bound such that the top-k weight is in the interval with a probability equal to one minus the value of the confidence parameter, and provides a response to the top-k query in accordance with the upper and lower bounds.
Abstract:
A method for producing a summary A of data points in an unaggregated data stream wherein the data points are in the form of weighted keys (a, w) where a is a key and w is a weight, and the summary is a sample of k keys a with adjusted weights wa. A first reservoir L includes keys having adjusted weights which are additions of weights of individual data points of included keys and a second reservoir T includes keys having adjusted weights which are each equal to a threshold value τ whose value is adjusted based upon tests of new data points arriving in the data stream. The summary combines the keys and adjusted weights of the first reservoir L with the keys and adjusted weights of the second reservoir T to form the sample representing the data stream upon which further analysis may be performed. The method proceeds by first merging new data points in the stream into the reservoir L until the reservoir contains k different keys and thereafter applying a series of tests to new arriving data points to determine what keys and weights are to be added to or removed the reservoirs L and T to provide a summary with a variance that approaches the minimum possible for aggregated data sets. The method is composable, can be applied to high speed data streams such as those found on the Internet, and can be implemented efficiently.
Abstract:
Certain exemplary embodiments can provide a method, which can comprise automatically storing a sketch of a dataset that supports automatic determination of an estimator of properties of a dataset. The automatic determination can be based upon computed adjusted weights to the items included in a sketch of the dataset. The adjusted weights can be used to compute estimates on the weight of any subpopulation of the items in the dataset that is specified using a selection predicate. We propose the rank conditioning, the subset conditioning, and/or a Markov-chain based method to compute these adjusted weights. We also provide a method that provides upper and lower confidence bounds on the size of a subpopulation.
Abstract:
Methods and systems for estimate derivation are described. In one embodiment, a query may be received with a predicate for sets over a collection of items. Associated samples associated with the query may be accessed. Items of an associated sample may be accessed from the collection of items. A determination of whether the predicate is an attribute-based selection from a union of at least some sets may be made. Available items of the particular associated sample may be selected from the items. Identified items may be identified among the available items in the associated sample that satisfy the predicate. An adjusted weight may be assigned to an item based on a weight of the item and a distribution of the associated samples. An estimate may be generated based on the adjusted weight of the identified items of the associated samples that satisfy the predicate. Additional methods and systems are disclosed.
Abstract:
Methods and apparatus to bound network traffic estimation error for multistage measurement sampling and aggregation are disclosed. An example method disclosed herein comprises determining a hierarchical sampling topology representative of multiple data sampling and aggregation stages, the hierarchical sampling topology comprising a plurality of nodes connected by a plurality of edges, each node corresponding to at least one of a data source and a data aggregation operation, and each edge corresponding to a data sampling operation characterized by a generalized sampling threshold, selecting a first generalized sampling threshold from a set of generalized sampling thresholds associated with a respective set of edges originating at a respective set of descendent nodes of a target node undergoing network traffic estimation, and transforming a measured sample of network traffic into a confidence interval for a network traffic estimate associated with the target node using the first generalized sampling threshold and an error parameter.
Abstract:
A method and apparatus provide improved cache coherency and more effective caching operations without placing an undue burden on network links. A proxy receives a request for a resource and then, depending on information in the proxy cache, generates a resource request for transmission to a resource server. The proxy appends a proxy filter to the request. The resource server maintains one or more volumes of resources based on some predetermined criterion that can be either static or dynamic in nature. Upon receipt of the request and the proxy filter the resource server generates a request response and a piggybacked list of additional resources selected from the volume with which the requested resource is associated.