Abstract: A real-time messaging platform allows advertiser accounts to pay to insert candidate messages into the message streams requested by account holders. To accommodate multiple advertisers, the messaging platform controls an auction process that determines which candidate messages are selected for inclusion in a requested account holder's message stream. Selection is based on a bid for the candidate message, the message stream that is requested, and a variety of other factors that vary depending upon the implementation. The process for selection of candidate messages generally includes the following steps, though any given step may be omitted or combined into another step in a different implementation: targeting, filtering, prediction, ranking, and selection.

Abstract: A real-time messaging platform allows advertiser accounts to pay to insert candidate messages into the message streams requested by account holders. To accommodate multiple advertisers, the messaging platform controls an auction process that determines which candidate messages are selected for inclusion in a requested account holder's message stream. Selection is based on a bid for the candidate message, the message stream that is requested, and a variety of other factors that vary depending upon the implementation. The process for selection of candidate messages generally includes the following steps, though any given step may be omitted or combined into another step in a different implementation: targeting, filtering, prediction, ranking, and selection.

Abstract: Systems, methods, and computer storage media having computer-executable instructions embodied thereon that facilitate evaluation of digital content preferences are provided. A user is presented with items of digital content and permitted to manipulate the arrangement of the digital content items in the context of a layout area. Based on the user's manipulation of the digital content items, a user preference regarding an arrangement of digital content, such as a location preference, a position preference, and/or a usage preference, is identified. In embodiments, such a user preference can be utilized to later display digital content to a user in accordance therewith.

Abstract: A disposable cup dispenser includes a housing defining a cavity for receiving a plurality of associated disposable cups and a plurality of fingers extending from the housing into the cavity. The plurality of fingers includes a first finger and a second finger positioned above the first finger. The first finger is disposed closer to a closed end of the cavity as compared to an open end of the cavity.

Abstract: Short paths are found with a small query time in scale-free directed graphs using a two-phase process by which data structures comprising shortest path trees are first pre-computed for a group of central vertices called “hubs” that have short paths to most other vertices in the graph. In a query time phase, a short path between two vertices of interest in the graph is found by looking up the path to the root in each of the shortest path trees.

Abstract: Classes of web graph algorithms are extended to run directly on virtual node-type compressed web graphs where a reduction in runtime of the extended algorithms is realized which is approximately proportional to the compression ratio applied to the original (i.e., uncompressed) graph. In the virtual node compression technique, a succinct representation of a web graph is constructed by replacing dense subgraphs by sparse ones so that the resulting compressed graph has significantly fewer edges and a relatively small number of additional nodes.

Abstract: Systems, methods, and computer storage media having computer-executable instructions embodied thereon that facilitate evaluation of digital content preferences are provided. A user is presented with items of digital content and permitted to manipulate the arrangement of the digital content items in the context of a layout area. Based on the user's manipulation of the digital content items, a user preference regarding an arrangement of digital content, such as a location preference, a position preference, and/or a usage preference, is identified. In embodiments, such a user preference can be utilized to later display digital content to a user in accordance therewith.

Abstract: Classes of web graph algorithms are extended to run directly on virtual node-type compressed web graphs where a reduction in runtime of the extended algorithms is realized which is approximately proportional to the compression ratio applied to the original (i.e., uncompressed) graph. In the virtual node compression technique, a succinct representation of a web graph is constructed by replacing dense subgraphs by sparse ones so that the resulting compressed graph has significantly fewer edges and a relatively small number of additional nodes.

Abstract: Short paths are found with a small query time in scale-free directed graphs using a two-phase process by which data structures comprising shortest path trees are first pre-computed for a group of central vertices called “hubs” that have short paths to most other vertices in the graph. In a query time phase, a short path between two vertices of interest in the graph is found by looking up the path to the root in each of the shortest path trees.