Course Information

Course

Code:	6.851
Subject:	Computer Science
Topic:	Data Structure
Views:	18,783

Educator

Name:	Massachusetts Institute of Technology (MIT)
Type:	University

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Instructor

Name

Erik Demaine

Advanced Data Structures

Video Lectures

Displaying all 22 video lectures.

Lecture 1 Play Video	Persistent Data Structures "Persistence" - remembering all past versions of a data structure ("partial persistence"), being able to modify them - forking off new ones ("full persistence"), and merging different versions into one ("confluent persistence").
Lecture 2 Play Video	Retroactive Data Structures Partial and full retroactivity let us to alter and manipulate the order of operations, and investigate the results. A third type, "non-oblivious", puts queries on the timeline as well, and reports the first query whose answer changed.
Lecture 3 Play Video	Geometric Structures I Point location and range searching: persistence, retroactivity, dynamization of augmentation through weight balance, and fractional cascading.
Lecture 4 Play Video	Geometric Structures II Fractional cascading in 3D orthogonal range searching in O(log n) time. Moving data, e.g., where 2D points move at known velocity and acceleration: kinetic predecessor and kinetic priority queues.
Lecture 5 Play Video	Dynamic Optimality I Dynamic optimality: binary search trees, analytic bounds, splay trees, geometric view, greedy algorithm
Lecture 6 Play Video	Dynamic Optimality II Dynamic optimality: independent rectangle, Wilber, and Signed Greedy lower bounds; key-independent optimality; O(lg lg n)-competitive Tango trees
Lecture 7 Play Video	Memory Hierarchy Models Cache-efficient structures. B-trees are good at data transferred in blocks between cache and main memory, main memory and disk, and so on, achieving O(logB N) insert/delete/predecessor/successor for N items and memory block transfers of size B.
Lecture 8 Play Video	Cache-Oblivious Structures I Memory hierarchy: ordered-file maintenance, list labeling, order queries, cache-oblivious priority queues
Lecture 9 Play Video	Cache-Oblivious Structures II Memory hierarchy: distribution sweeping via lazy funnelsort; cache-oblivious orthogonal 2D range searching: batched and online
Lecture 10 Play Video	Dictionaries Dictionaries: universal, k-wise independent, simple tabulation hashing; chaining, dynamic perfect hashing, linear probing, cuckoo hashing
Lecture 11 Play Video	Integer Models Integer: models, predecessor problem, van Emde Boas, x-fast and y-fast trees, indirection
Lecture 12 Play Video	Fusion Trees Fusion trees: sketching, parallel comparison, most significant set bit
Lecture 13 Play Video	Integer Lower Bounds Integer data structure lower bounds. In particular, we'll prove that the min of van Emde Boas and fusion trees is an optimal (static) predecessor data structure up to a log log factor, assuming polynomial space.
Lecture 14 Play Video	Sorting in Linear Time Integer: sorting in linear time for w = O(lg2+ëµ n), priority queues
Lecture 15 Play Video	Static Trees Static trees: least common ancestor, range minimum queries, level ancestor
Lecture 16 Play Video	Strings Strings: suffix tree, suffix array, linear-time construction for large alphabets, suffix tray, document retrieval
Lecture 17 Play Video	Succinct Structures I Succinct: rank, select, tries
Lecture 18 Play Video	Succinct Structures II Succinct: compact suffix arrays and trees
Lecture 19 Play Video	Dynamic Graphs I Dynamic graphs: link-cut trees, heavy-light decomposition
Lecture 20 Play Video	Dynamic Graphs II Dynamic graphs: Euler tour trees, decremental connectivity in trees in O(1), fully dynamic connectivity in O(lg2 n), survey
Lecture 21 Play Video	Dynamic Connectivity Lower Bound Dynamic graphs: ë©(lg n) lower bound for dynamic connectivity
Lecture 22 Play Video	History of Memory Models History of memory models: idealized 2-level, red-blue pebble game, external memory, HMM, BT, (U)MH, cache oblivious