External Memory Three-Sided Range Reporting and Top
... range reporting queries and top-k queries in amortized O( 1ε logB N + K/B) IOs, where N is the current number of points and K is the size of the query output. Given an x-sorted set of N points, the structure can be constructed with amortized O(N/B) IOs. The space usage of the data structure is O(N/B ...
... range reporting queries and top-k queries in amortized O( 1ε logB N + K/B) IOs, where N is the current number of points and K is the size of the query output. Given an x-sorted set of N points, the structure can be constructed with amortized O(N/B) IOs. The space usage of the data structure is O(N/B ...
Linked Lists
... move the head pointer from node to node. This would result in loosing access to nodes in the list. Instead, always assign another pointer to the head of the list, and use that pointer to traverse it. Assign list head to walking pointer While walking pointer is not NULL Display the info pointed to by ...
... move the head pointer from node to node. This would result in loosing access to nodes in the list. Instead, always assign another pointer to the head of the list, and use that pointer to traverse it. Assign list head to walking pointer While walking pointer is not NULL Display the info pointed to by ...
Balancing weight-balanced trees
... 4 Balancing bugs in the variant WBT As we said in Section 1, the variant WBT is widely used, but unfortunately a bug was reported for the Data.Map library of Haskell, which used (5, 2). If one element is removed from a specific balanced tree, the balance of the resulting tree is broken in some cases. ...
... 4 Balancing bugs in the variant WBT As we said in Section 1, the variant WBT is widely used, but unfortunately a bug was reported for the Data.Map library of Haskell, which used (5, 2). If one element is removed from a specific balanced tree, the balance of the resulting tree is broken in some cases. ...
Parallel Synchronization-Free Approximate Data Structure
... In general, we expect the acceptability of the approximate data structures to depend on end-to-end effects such as 1) how frequently the application’s data structure construction workload elicits interactions that drop elements and 2) the effect that any dropped elements have on the accuracy of the ...
... In general, we expect the acceptability of the approximate data structures to depend on end-to-end effects such as 1) how frequently the application’s data structure construction workload elicits interactions that drop elements and 2) the effect that any dropped elements have on the accuracy of the ...
7.1. Single- and Double-Ended Priority Queues:
... a) heap-shape: all leaves lie on at most two adjacent levels, and the leaves on the last level occupy the leftmost positions; all other levels are complete. b) max-ordering: the value stored at a node is greater than or equal to the values stored at its children. A max-heap of size n can be construc ...
... a) heap-shape: all leaves lie on at most two adjacent levels, and the leaves on the last level occupy the leftmost positions; all other levels are complete. b) max-ordering: the value stored at a node is greater than or equal to the values stored at its children. A max-heap of size n can be construc ...
38 POINT LOCATION
... through q. We then compare against the separating chain and recursively search the left or right subtree. Thus, this separating chain method [LP77] inspects O(log n) tree nodes at a cost of O(log n) each, giving O(log2 n) query time. To reduce the query time, we can use fractional cascading [CG86, E ...
... through q. We then compare against the separating chain and recursively search the left or right subtree. Thus, this separating chain method [LP77] inspects O(log n) tree nodes at a cost of O(log n) each, giving O(log2 n) query time. To reduce the query time, we can use fractional cascading [CG86, E ...
A Skiplist-Based Concurrent Priority Queue with Minimal Memory
... of memory to the processor cores. Whenever a core updates a shared memory location, the cache system must first invalidate copies in caches at cores that have previously accessed this location, and afterwards propagate the update to caches in cores that subsequently access the location. The effect i ...
... of memory to the processor cores. Whenever a core updates a shared memory location, the cache system must first invalidate copies in caches at cores that have previously accessed this location, and afterwards propagate the update to caches in cores that subsequently access the location. The effect i ...
Max Chickering at Microsoft Research
... and Heckerman et al. (1995). A substantial amount of the early work on learning Bayesian networks has used observed data to infer global independence constraints that hold in the domain of interest. Global independences are precisely those that follow from the missing edges within a Bayesian-network ...
... and Heckerman et al. (1995). A substantial amount of the early work on learning Bayesian networks has used observed data to infer global independence constraints that hold in the domain of interest. Global independences are precisely those that follow from the missing edges within a Bayesian-network ...
ps - Carnegie Mellon School of Computer Science
... to explain key properties that also apply to higher dimension structures. A quadtree represents a 2D region of space by recursively dividing each region into 4 smaller regions, or quadrants, until a desired resolution is achieved. Figure 3 shows a sample 8 × 8 rectangular domain (heavy line) divided ...
... to explain key properties that also apply to higher dimension structures. A quadtree represents a 2D region of space by recursively dividing each region into 4 smaller regions, or quadrants, until a desired resolution is achieved. Figure 3 shows a sample 8 × 8 rectangular domain (heavy line) divided ...
Data structures and algorithms for high
... allowing blocks to be refined anisotropically and maintain the mesh nodes and their mutual relationships in a kdtree [3]. With anisotropic refinement, a block is not restricted to be refined equally in all dimensions, potentially leading to a more efficient discretization in terms of the number of c ...
... allowing blocks to be refined anisotropically and maintain the mesh nodes and their mutual relationships in a kdtree [3]. With anisotropic refinement, a block is not restricted to be refined equally in all dimensions, potentially leading to a more efficient discretization in terms of the number of c ...
Document
... • First Strategy: Stop growing the tree if impurity measure gain is small. • To short-sighted: a seemingly worthless split early on in the tree might be followed by a very good split • A better strategy is to grow a very large tree to the end, and then prune it back in order to obtain a subtree ...
... • First Strategy: Stop growing the tree if impurity measure gain is small. • To short-sighted: a seemingly worthless split early on in the tree might be followed by a very good split • A better strategy is to grow a very large tree to the end, and then prune it back in order to obtain a subtree ...
Data structures for detecting rare variations in time series
... Still in this context, given a the length t of a time interval and a threshold p, one may ask for the minimum d for which the number of (t, d)-events is at most p, that is, (t, d)-events are rare. If we want to process this kind of query for many time intervals t and many thresholds p, an efficient ...
... Still in this context, given a the length t of a time interval and a threshold p, one may ask for the minimum d for which the number of (t, d)-events is at most p, that is, (t, d)-events are rare. If we want to process this kind of query for many time intervals t and many thresholds p, an efficient ...
Spatial Access Methods
... rectangular region, which in turn will be divided into two parts by the new point. The insertion of a new point results in one new internal node. Range searching in the KD-tree starts at the root, checks whether the stored node (split point) is included in the search range and whether there is overl ...
... rectangular region, which in turn will be divided into two parts by the new point. The insertion of a new point results in one new internal node. Range searching in the KD-tree starts at the root, checks whether the stored node (split point) is included in the search range and whether there is overl ...
The Currency Handler Service
... This function determines whether or not currency cnm occurs in the currency reserves data structure crs, returning True or False as appropriate. Your implementation should exploit the fact that the data structure being searched is based primarily on a binary search tree. NB, if your implementation o ...
... This function determines whether or not currency cnm occurs in the currency reserves data structure crs, returning True or False as appropriate. Your implementation should exploit the fact that the data structure being searched is based primarily on a binary search tree. NB, if your implementation o ...
Efficient implementation of lazy suffix trees
... • Due to these facts, for many applications, the construction of a suffix tree does not amortize. For example, if a text is to be searched only for a very small number of patterns, then it is usually better to use a fast and simple online method, such as the Boyer–Moore–Horspool algorithm [9], to se ...
... • Due to these facts, for many applications, the construction of a suffix tree does not amortize. For example, if a text is to be searched only for a very small number of patterns, then it is usually better to use a fast and simple online method, such as the Boyer–Moore–Horspool algorithm [9], to se ...
MS Word - School of Computer Science Student WWW Server
... name of method and type of result names and types of parameters assumed properties of its inputs intended effects of its execution public static int valueAt (int[] a, int i); // pre: 0 i < a.length // post: returns a[i] ...
... name of method and type of result names and types of parameters assumed properties of its inputs intended effects of its execution public static int valueAt (int[] a, int i); // pre: 0 i < a.length // post: returns a[i] ...
Lecture6KS
... We want to simulate a chain of events Ei. Each event Ei is associated with a time ti. No problem: sort the times, and run through them in order. t1 < t2 < t3 < ... < tn But what if an event can cause the creation of some new events in the future? ...
... We want to simulate a chain of events Ei. Each event Ei is associated with a time ti. No problem: sort the times, and run through them in order. t1 < t2 < t3 < ... < tn But what if an event can cause the creation of some new events in the future? ...