Space efficient quantile summary for constrained sliding windows on a data stream

In many online applications, we need to maintain quantile statistics for a sliding window on a data stream. The sliding windows in natural form are defined as the most recent N data items. In this paper, we study the problem of estimating quantiles over other types of sliding windows. We present a uniform framework to process quantile queries for time constrained and filter based sliding windows. Our algorithm makes one pass on the data stream and maintains an E-approximate summary. It uses O((1)/(epsilon2) log(2) epsilonN) space where N is the number of data items in the window. We extend this framework to further process generalized constrained sliding window queries and proved that our technique is applicable for flexible window settings. Our performance study indicates that the space required in practice is much less than the given theoretical bound and the algorithm supports high speed data streams.

Leadlight windows, Ocean View Farmhouse, Mount Mee

Detailed view of leadlight windows as seen from dining room.

Glazing to entry, Mt. Nebo House

Leadlight windows with stained glass feature panes and timber muntins over french doors with matching leadlight sidelights.

Dormer window, Mt. Nebo House

Arched head leadlight and casement windows with stained glass feature panes and timber muntins. View through window from interior.

Interior, C House, Coorparoo, Brisbane

View through bedroom interiors to windows on North-East elevation above pool deck.

Interior, C House, Coorparoo, Brisbane

View through bedroom interiors to windows on North-East elevation above pool deck.

Courtyard, Hill House, Chapel Hill, Brisbane

Central courtyard space with strip windows to kitchen/dining on left.

Kitchen servery to deck, Brannigan House, St Lucia, Brisbane

Corner of kitchen opens to deck via a series of folding windows.

Three-bedroom townhouse, Air Niugini Staff Housing, Papua New Guinea

Side elevation, showing upper level bedroom windows.

Interior of tower, Carpenter Hall house, Wilston, Brisbane

View to landscape beyond through windows of upper level of tower.

Interior of tower, Carpenter Hall house, Wilston, Brisbane

View to landscape beyond through windows of upper level of tower (shown open).

Expertise and the perception of kinematic and situational probability information

Two experiments were conducted on the nature of expert perception in the sport of squash. In the first experiment, ten expert and fifteen novice players attempted to predict the direction and force of squash strokes from either a film display (occluded at variable time periods before and after the opposing player had struck the ball) or a matched point-light display (containing only the basic kinematic features of the opponent's movement pattern). Experts outperformed the novices under both display conditions, and the same basic time windows that characterised expert and novice pick-up of information in the film task also persisted in the point-light task. This suggests that the experts' perceptual advantage is directly related to their superior pick-up of essential kinematic information. In the second experiment, the vision of six expert and six less skilled players was occluded by remotely triggered liquid-crystal spectacles at quasi-random intervals during simulated match play. Players were required to complete their current stroke even when the display was occluded and their prediction performance was assessed with respect to whether they moved to the correct half of the court to match the direction and depth of the opponent's stroke. Consistent with experiment 1, experts were found to be superior in their advance pick-up of both directional and depth information when the display was occluded during the opponent's hitting action. However, experts also remained better than chance, and clearly superior to less skilled players, in their prediction performance under conditions where occlusion occurred before any significant pre-contact preparatory movement by the opposing player was visible. This additional source of expert superiority is attributable to their superior attunement to the information contained in the situational probabilities and sequential dependences within their opponent's pattern of play.