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readme.md
47
readme.md
@@ -1,31 +1,31 @@
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# BiGpairSEQ SIMULATOR
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## CONTENTS
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1. ABOUT
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2. THEORY
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3. THE BiGpairSEQ ALGORITHM
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4. USAGE
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1. RUNNING THE PROGRAM
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2. COMMAND LINE OPTIONS
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3. INTERACTIVE INTERFACE
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4. INPUT/OUTPUT
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1. [ABOUT](#about)
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2. [THEORY](#theory)
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3. [THE BiGpairSEQ ALGORITHM](#the-bigpairseq-algorithm)
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4. [USAGE](#usage)
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1. [RUNNING THE PROGRAM](#running-the-program)
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2. [COMMAND LINE OPTIONS](#command-line-options)
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3. [INTERACTIVE INTERFACE](#interactive-interface)
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4. [INPUT/OUTPUT](#inputoutput)
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1. Cell Sample Files
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2. Sample Plate Files
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3. Graph/Data Files
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4. Matching Results Files
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5. RESULTS
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5. [RESULTS](#results)
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1. SAMPLE PLATES WITH VARYING NUMBERS OF CELLS PER WELL
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2. SIMULATING EXPERIMENTS FROM pairSEQ PAPER
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6. TODO
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7. CITATIONS
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8. ACKNOWLEDGEMENTS
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9. AUTHOR
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10. DISCLOSURE
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6. [TODO](#todo)
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7. [CITATIONS](#citations)
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8. [ACKNOWLEDGEMENTS](#acknowledgements)
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9. [AUTHOR](#author)
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10. [DISCLOSURE](#disclosure)
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## ABOUT
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This program simulates BiGpairSEQ (Bipartite Graph pairSEQ), a graph theory-based adaptation
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of the pairSEQ algorithm (Howie, et al. 2015) for pairing T cell receptor sequences.
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of the pairSEQ algorithm ([Howie, et al. 2015](#citations)) for pairing T cell receptor sequences.
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## THEORY
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@@ -51,17 +51,17 @@ matching (MWM) on a bipartite graph--the subset of vertex-disjoint edges whose w
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This is a well-studied combinatorial optimization problem, with many known algorithms that produce
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provably-optimal solutions. The most theoretically efficient algorithm known to the author for maximum weight matching of a bipartite
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graph with strictly integral weights is from Duan and Su (2012). For a graph with m edges, n vertices per side,
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graph with strictly integral weights is from [Duan and Su (2012)](#citations). For a graph with m edges, n vertices per side,
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and maximum integer edge weight N, their algorithm runs in **O(m sqrt(n) log(N))** time. As the graph representation of
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a pairSEQ experiment is bipartite with integer weights, this algorithm seems ideal for BiGpairSEQ. Unfortunately, it's a
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fairly new algorithm, and not yet implemented by the graph theory library used in this simulator (JGraphT), nor has the author had
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time to implement it himself.
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a pairSEQ experiment is bipartite with integer weights, this algorithm seems ideal for BiGpairSEQ. Unfortunately, it is not
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implemented by the graph theory library used in this simulator (JGraphT), and the author has not yet had time to write a
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full, optimized implementation himself for testing.
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So this program instead uses the [Fibonacci heap](https://en.wikipedia.org/wiki/Fibonacci_heap) based algorithm of Fredman and Tarjan (1987) (essentially
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[the Hungarian algorithm](https://en.wikipedia.org/wiki/Hungarian_algorithm) augmented with a more efficeint priority queue) which has a worst-case
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runtime of **O(n (n log(n) + m))**. The algorithm is implemented as described in Melhorn and Näher (1999). (The simulator
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allows the substitution of a [pairing heap](https://en.wikipedia.org/wiki/Pairing_heap) for a Fibonacci heap, though the relative performance difference of the two
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has not yet been thoroughly tested.)
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[the Hungarian algorithm](https://en.wikipedia.org/wiki/Hungarian_algorithm) augmented with a more efficient priority queue) which has a worst-case
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runtime of **O(n (n log(n) + m))**. The algorithm is implemented as described in [Melhorn and Näher (1999)](#citations). (The simulator can use either a
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Fibonacci heap or a [pairing heap](https://en.wikipedia.org/wiki/Pairing_heap) as desired. By default, a pairing heap is used,
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as in practice they often offer superior performance.)
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One possible advantage of this less efficient algorithm is that the Hungarian algorithm and its variations work with both the balanced and the unbalanced assignment problem
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(that is, cases where both sides of the bipartite graph have the same number of vertices and those in which they don't.)
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@@ -650,6 +650,7 @@ the file of distinct cells may enable better simulated replication of this exper
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* Melhorn, K., Näher, St. [The LEDA Platform of Combinatorial and Geometric Computing.](https://people.mpi-inf.mpg.de/~mehlhorn/LEDAbook.html) Cambridge University Press. Chapter 7, Graph Algorithms; p. 132-162 (1999)
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* Fredman, M., Tarjan, R. ["Fibonacci heaps and their uses in improved network optimization algorithms."](https://www.cl.cam.ac.uk/teaching/1011/AlgorithII/1987-FredmanTar-fibonacci.pdf) J. ACM, 34(3):596–615 (1987))
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* Bertsekas, D., Castañon, D. ["A forward/reverse auction algorithm for asymmetric assignment problems"](https://www.mit.edu/~dimitrib/For_Rev_Asym_Auction.pdf) Computational Optimization and Applications 1, 277-297 (1992)
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* Dimitrios Michail, Joris Kinable, Barak Naveh, and John V. Sichi. 2020. JGraphT—A Java Library for Graph Data Structures and Algorithms. ACM Trans. Math. Softw. 46, 2, Article 16
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## EXTERNAL LIBRARIES USED
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* [JGraphT](https://jgrapht.org) -- Graph theory data structures and algorithms
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@@ -1,4 +1,5 @@
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public enum AlgorithmType {
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HUNGARIAN, //Hungarian algorithm
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AUCTION, //Forward auction algorithm
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INTEGER_WEIGHT_SCALING, //integer weight scaling algorithm of Duan and Su
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}
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@@ -14,7 +14,7 @@ public class BiGpairSEQ {
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private static boolean cachePlate = false;
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private static boolean cacheGraph = false;
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private static AlgorithmType matchingAlgoritmType = AlgorithmType.HUNGARIAN;
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private static HeapType priorityQueueHeapType = HeapType.FIBONACCI;
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private static HeapType priorityQueueHeapType = HeapType.PAIRING;
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private static boolean outputBinary = true;
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private static boolean outputGraphML = false;
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private static boolean calculatePValue = false;
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@@ -165,6 +165,8 @@ public class BiGpairSEQ {
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public static void setHungarianAlgorithm() { matchingAlgoritmType = AlgorithmType.HUNGARIAN; }
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public static void setIntegerWeightScalingAlgorithm() { matchingAlgoritmType = AlgorithmType.INTEGER_WEIGHT_SCALING; }
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public static void setAuctionAlgorithm() { matchingAlgoritmType = AlgorithmType.AUCTION; }
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public static void setPairingHeap() {
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@@ -582,29 +582,36 @@ public class InteractiveInterface {
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boolean backToOptions = false;
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while(!backToOptions) {
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System.out.println("\n---------ALGORITHM OPTIONS----------");
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System.out.println("1) Use scaling algorithm by Duan and Su.");
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System.out.println("2) Use Hungarian algorithm with Fibonacci heap priority queue");
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System.out.println("3) Use Hungarian algorithm with pairing heap priority queue");
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System.out.println("4) Use auction algorithm");
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System.out.println("1) Use Hungarian algorithm with Fibonacci heap priority queue");
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System.out.println("2) Use Hungarian algorithm with pairing heap priority queue");
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System.out.println("3) Use auction algorithm");
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System.out.println("4) Use integer weight scaling algorithm by Duan and Su. (buggy, not yet fully implemented!)");
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System.out.println("0) Return to Options menu");
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try {
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input = sc.nextInt();
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switch (input) {
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case 1 -> System.out.println("This option is not yet implemented. Choose another.");
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case 2 -> {
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case 1 -> {
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BiGpairSEQ.setHungarianAlgorithm();
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BiGpairSEQ.setFibonacciHeap();
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System.out.println("MWM algorithm set to Hungarian with Fibonacci heap");
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backToOptions = true;
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}
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case 3 -> {
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case 2 -> {
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BiGpairSEQ.setHungarianAlgorithm();
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BiGpairSEQ.setPairingHeap();
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System.out.println("MWM algorithm set to Hungarian with pairing heap");
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backToOptions = true;
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}
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case 4 -> {
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case 3 -> {
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BiGpairSEQ.setAuctionAlgorithm();
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System.out.println("MWM algorithm set to auction");
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}
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case 4 -> {
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System.out.println("Scaling integer weight MWM algorithm not yet fully implemented. Sorry.");
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// BiGpairSEQ.setIntegerWeightScalingAlgorithm();
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// System.out.println("MWM algorithm set to integer weight scaling algorithm of Duan and Su");
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backToOptions = true;
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}
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case 0 -> backToOptions = true;
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default -> System.out.println("Invalid input");
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}
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@@ -36,6 +36,7 @@ public class MaximumIntegerWeightBipartiteAuctionMatching<V, E> implements Match
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private final BigDecimal epsilon;
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private final Set<E> matching;
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private BigDecimal matchingWeight;
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private boolean swappedPartitions = false;
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public MaximumIntegerWeightBipartiteAuctionMatching(Graph<V, E> graph, Set<V> partition1, Set<V> partition2) {
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1284
src/main/java/MaximumIntegerWeightBipartiteMatching.java
Normal file
1284
src/main/java/MaximumIntegerWeightBipartiteMatching.java
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File diff suppressed because it is too large
Load Diff
@@ -193,6 +193,9 @@ public class Simulator implements GraphModificationFunctions {
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//create a new MaximumIntegerWeightBipartiteAuctionMatching
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maxWeightMatching = new MaximumIntegerWeightBipartiteAuctionMatching<>(graph, alphas, betas);
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}
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case INTEGER_WEIGHT_SCALING -> {
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maxWeightMatching = new MaximumIntegerWeightBipartiteMatching<>(graph, alphas, betas, new BigDecimal(highThreshold));
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}
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default -> { //HUNGARIAN
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//use selected heap type for priority queue
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HeapType heap = BiGpairSEQ.getPriorityQueueHeapType();
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@@ -273,6 +276,9 @@ public class Simulator implements GraphModificationFunctions {
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case AUCTION -> {
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algoType = "Auction algorithm";
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}
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case INTEGER_WEIGHT_SCALING -> {
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algoType = "Integer weight scaling algorithm from Duan and Su (not yet perfectly implemented)";
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}
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default -> { //HUNGARIAN
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algoType = "Hungarian algorithm with heap: " + BiGpairSEQ.getPriorityQueueHeapType().name();
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}
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