近似算法讨论班 (Fall 2011): Difference between revisions

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|bgcolor="#A7C1F2"|Dates||bgcolor="#A7C1F2"|Speakers||bgcolor="#A7C1F2"|Topics
|bgcolor="#A7C1F2"|Dates||bgcolor="#A7C1F2"|Speakers||bgcolor="#A7C1F2"|Topics||bgcolor="#A7C1F2"|Readings
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|9.26 ||张弛豪（上海交通大学）|| Introduction to approximation algorithms.<br> Approximation ratio; set cover; rounding an LP; LP duality; greedy algorithms. <br>Chap.1 of Williamson-Shmoys.
|9.26  
|align="center"|张驰豪<br>（上海交通大学）|| Introduction to approximation algorithms.<br> Approximation ratio; set cover; rounding an LP; LP duality; greedy algorithms.||Chap.1<br>Williamson-Shmoys.
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|10.8 ||张弛豪（上海交通大学）|| Greedy algorithms and local search.<br> Scheduling with deadlines; <math>k</math>-center; minimize makespan; metric TSP; min-degree spanning tree. <br> Chap.2 of Williamson-Shmoys.
|10.8  
|align="center"|张驰豪<br>（上海交通大学）|| Greedy algorithms and local search.<br> Scheduling with deadlines; <math>k</math>-center; minimize makespan; metric TSP; min-degree spanning tree. || Chap.2.1-2.4<br>Williamson-Shmoys.
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|10.13 ||詹宇森、蒋炎岩、尹一通|| Local search (cont.). Scale and round<br> Min-degree spanning tree; local search; potential analysis; <br>Knapsack; dynamic programming; pseudo-polynomial time; scale and round; FPTAS.<br> Chap.2, 3 of Williamson-Shmoys.
|10.13  
|align="center"|詹宇森<br>蒋炎岩<br>尹一通|| Local search (cont.). Scale and round.<br> Min-degree spanning tree; local search; potential analysis; <br>Knapsack; dynamic programming; pseudo-polynomial time; scale and round; FPTAS.||Chap.2.6, 3.1<br>Williamson-Shmoys.
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|10.20||<font color=red>老师出差，暂停一次。</font>||
|10.20
!colspan="3"|<font color=red>老师出差，暂停一次。</font>
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|10.27|| 陈嘉||  Linear Programming. [[media:Lp_no_pause.pdf‎|<nowiki>[</nowiki>slides<nowiki>]</nowiki>]]<br> Linear Programming; the simplex method; duality; strong duality theorem; von Neumann's minmax theorem.
|10.27
|align="center"| 陈嘉||  Linear Programming.<br> Linear Programming; the simplex method; duality; strong duality theorem; von Neumann's minmax theorem.
|| [[media:Lp_no_pause.pdf‎|<nowiki>[</nowiki>slides<nowiki>]</nowiki>]]<br>[http://www-math.mit.edu/~goemans/notes-lp.ps Geomans' notes on LP]
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|11.4
|align="center"| 周源 <br>(Carnegie Mellon University)|| Approximation (and inapproximability) of MAX-CUT.<br> MAX-CUT; the probabilistic method; semi-definite programming (SDP); rounding SDP;<br> inapproximability; gap-reduction; probabilistically checkable proofs (PCP); the PCP theorem; <br> label cover game; parallel repetition theorem; unique label cover game; the unique games conjecture (UGC); <br> Boolean function; Fourier transformation; Parseval's identity; influence; noise operator; stability;<br>long code reduction; majority is the stablest (MIS);
||[http://www.cs.washington.edu/education/courses/cse533/05au/ PCP lecture at UW]
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|11.10
|align="center"|张驰豪<br>（上海交通大学）<br>尹一通|| Scale and round (cont.). Deterministic rounding of LP. <br> Bin packing; first-fit; exhaustive search; polynomial-time approximation scheme (PTAS). <br>Scheduling on a single machine; completion time; preemptive; shortest remaining processing time (SRPT); <br>the ellipsoid algorithm; separation oracle. || Chap.3.3, 4.1-4.3 <br> Williamson-Shmoys.
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Revision as of 06:08, 17 November 2011

Syllabus

  • Time: every Thursday, 6:30pm.
  • Place: CS building, 228.
  • Organizer: 尹一通
  • office: CS building, 804
  • email: yitong.yin@gmail.com

Reference materials

  • Vijay Vazirani. Approximation Algorithms. Springer, 2004.
  • David Williamson and David Shmoys. The Design of Approximation Algorithms. Cambridge Univ Press, 2011.

Schedule

Dates Speakers Topics Readings
9.26 张驰豪
（上海交通大学）		 Introduction to approximation algorithms.
Approximation ratio; set cover; rounding an LP; LP duality; greedy algorithms.		 Chap.1
Williamson-Shmoys.
10.8 张驰豪
（上海交通大学）		 Greedy algorithms and local search.
Scheduling with deadlines; [math]\displaystyle{ k }[/math]-center; minimize makespan; metric TSP; min-degree spanning tree.		 Chap.2.1-2.4
Williamson-Shmoys.
10.13 詹宇森
蒋炎岩
尹一通		 Local search (cont.). Scale and round.
Min-degree spanning tree; local search; potential analysis;
Knapsack; dynamic programming; pseudo-polynomial time; scale and round; FPTAS.		 Chap.2.6, 3.1
Williamson-Shmoys.
10.20 老师出差，暂停一次。
10.27 陈嘉 Linear Programming.
Linear Programming; the simplex method; duality; strong duality theorem; von Neumann's minmax theorem. 		[slides]
Geomans' notes on LP
11.4 周源
(Carnegie Mellon University)		 Approximation (and inapproximability) of MAX-CUT.
MAX-CUT; the probabilistic method; semi-definite programming (SDP); rounding SDP;
inapproximability; gap-reduction; probabilistically checkable proofs (PCP); the PCP theorem;
label cover game; parallel repetition theorem; unique label cover game; the unique games conjecture (UGC);
Boolean function; Fourier transformation; Parseval's identity; influence; noise operator; stability;
long code reduction; majority is the stablest (MIS); 		PCP lecture at UW
11.10 张驰豪
（上海交通大学）
尹一通		 Scale and round (cont.). Deterministic rounding of LP.
Bin packing; first-fit; exhaustive search; polynomial-time approximation scheme (PTAS).
Scheduling on a single machine; completion time; preemptive; shortest remaining processing time (SRPT);
the ellipsoid algorithm; separation oracle.		 Chap.3.3, 4.1-4.3
Williamson-Shmoys.
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