Wellcome to Maximimi's library,
You can find here all papers liked or uploaded by Maximimitogether with brief user bio and description of her/his academic activity.
[Link to my homepage](https://sites.google.com/view/danisch/home)
## I will read the following papers.
- [Quasi-Succinct Indices](https://papers-gamma.link/paper/130)
- [PageRank as a Function of the Damping Factor](https://papers-gamma.link/paper/106)
- [Graph Stream Algorithms: A Survey](https://papers-gamma.link/paper/102)
- [Network Sampling: From Static to Streaming Graphs](https://papers-gamma.link/paper/122)
- [The Protein-Folding Problem, 50 Years On](https://papers-gamma.link/paper/78)
- [Computational inference of gene regulatory networks: Approaches, limitations and opportunitie](https://papers-gamma.link/paper/77)
- [Graph complexity analysis identifies an ETV5 tumor-specific network in human and murine low-grade glioma](https://papers-gamma.link/paper/79)
- [Gene Networks in Plant Biology: Approaches in Reconstruction and Analysis](https://papers-gamma.link/paper/76)
- [The non-convex Burer–Monteiro approach works on smooth semidefinite programs](https://papers-gamma.link/paper/80)
- [Solving SDPs for synchronization and MaxCut problems via the Grothendieck inequality](https://papers-gamma.link/paper/81)
- [Influence maximization in complex networks through optimal percolation](https://papers-gamma.link/paper/70)
- [Motifs in Temporal Networks](https://papers-gamma.link/paper/61)
- [Deep Sparse Rectifier Neural Networks](https://papers-gamma.link/paper/69)
- [Sparse Convolutional Neural Networks](https://papers-gamma.link/paper/67)
- [A fast and simple algorithm for training neural probabilistic language models](https://papers-gamma.link/paper/58)
- [Adding One Neuron Can Eliminate All Bad Local Minima](https://papers-gamma.link/paper/71)
## I read the following papers.
### 2019-2020
- [Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs](https://papers-gamma.link/paper/162)
- [Karp-Sipser based kernels for bipartite graph matching](https://papers-gamma.link/paper/160)
- [Speedup Graph Processing by Graph Ordering](https://papers-gamma.link/paper/159)
- [Tree Sampling Divergence: An Information-Theoretic Metric for Hierarchical Graph Clustering](https://papers-gamma.link/paper/154)
### 2018-2019:
- [SWeG: Lossless and Lossy Summarization of Web-Scale Graphs](https://papers-gamma.link/paper/139)
- [Smoothed Analysis: An Attempt to Explain the Behavior of Algorithms in Practice](https://papers-gamma.link/paper/129)
- [Are stable instances easy?](https://papers-gamma.link/paper/128)
- [Hierarchical Taxonomy Aware Network Embedding](https://papers-gamma.link/paper/116)
- [Billion-scale Network Embedding with Iterative Random Projection](https://papers-gamma.link/paper/110)
- [HARP: Hierarchical Representation Learning for Networks](https://papers-gamma.link/paper/109/)
- [Layered Label Propagation: A MultiResolution Coordinate-Free Ordering for Compressing Social Networks](https://papers-gamma.link/paper/105)
### 2017-2018:
- [Link Prediction in Graph Streams](https://papers-gamma.link/paper/101)
- [The Community-search Problem and How to Plan a Successful Cocktail Party](https://papers-gamma.link/paper/74)
- [A Nonlinear Programming Algorithm for Solving Semidefinite Programs via Low-rank Factorization](https://papers-gamma.link/paper/55)
- [Deep Learning](https://papers-gamma.link/paper/68)
- [Reducing the Dimensionality of Data with Neural Networks](https://papers-gamma.link/paper/65)
- [Representation Learning on Graphs: Methods and Applications](https://papers-gamma.link/paper/60)
- [Improved Approximation Algorithms for MAX k-CUT and MAX BISECTION](https://papers-gamma.link/paper/56)
- [Cauchy Graph Embedding](https://papers-gamma.link/paper/53)
- [Phase Transitions in Semidefinite Relaxations](https://papers-gamma.link/paper/57)
- [Graph Embedding Techniques, Applications, and Performance: A Survey](https://papers-gamma.link/paper/52)
- [VERSE: Versatile Graph Embeddings from Similarity Measures](https://papers-gamma.link/paper/48)
- [Hierarchical Clustering Beyond the Worst-Case](https://papers-gamma.link/paper/45)
- [Scalable Motif-aware Graph Clustering](https://papers-gamma.link/paper/18)
- [Practical Algorithms for Linear Boolean-width](https://papers-gamma.link/paper/40)
- [New Perspectives and Methods in Link Prediction](https://papers-gamma.link/paper/28/New%20Perspectives%20and%20Methods%20in%20Link%20Prediction)
- [In-Core Computation of Geometric Centralities with HyperBall: A Hundred Billion Nodes and Beyond](https://papers-gamma.link/paper/37)
- [Diversity is All You Need: Learning Skills without a Reward Function](https://papers-gamma.link/paper/36)
- [When Hashes Met Wedges: A Distributed Algorithm for Finding High Similarity Vectors](https://papers-gamma.link/paper/23)
- [Fast Approximation of Centrality](https://papers-gamma.link/paper/35/Fast%20Approximation%20of%20Centrality)
- [Indexing Public-Private Graphs](https://papers-gamma.link/paper/19/Indexing%20Public-Private%20Graphs)
- [On the uniform generation of random graphs with prescribed degree sequences](https://papers-gamma.link/paper/26/On%20the%20uniform%20generation%20of%20random%20graphs%20with%20prescribed%20d%20egree%20sequences)
- [Linear Additive Markov Processes](https://papers-gamma.link/paper/21/Linear%20Additive%20Markov%20Processes)
- [ESCAPE: Efficiently Counting All 5-Vertex Subgraphs](https://papers-gamma.link/paper/17/ESCAPE:%20Efficiently%20Counting%20All%205-Vertex%20Subgraphs)
- [The k-peak Decomposition: Mapping the Global Structure of Graphs](https://papers-gamma.link/paper/16/The%20k-peak%20Decomposition:%20Mapping%20the%20Global%20Structure%20of%20Graphs)
- [A Fast and Provable Method for Estimating Clique Counts Using Turán’s Theorem](https://papers-gamma.link/paper/24)
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Comments:
Some "abstract" real-world graphs (such as social networks, WWW networks, call graphs, scientific collaboration graphs; and not road networks or power grid networks) empirically seem to have a small [hyperbolicity](https://en.wikipedia.org/wiki/Hyperbolic_metric_space).
This property can be used to approximate the input graph by a tree. The tree can, in turn, be used to approximate efficiently some quantities such as the distance between two nodes.
"The key point here is that in a hyperbolic graph selecting the root in the hyperbolic core ensures that it is already at the intersection of O(N) shortest paths"
Question: How can I select a root node efficiently?
Question: Is there any guaranty on the obtained approximation?
Question: How can I compute the hyperbolicity of a graph efficiently?
Not sure why there is "dynamic" in the title.
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1
Comments:
Interesting paper around the question: "Can machine learning be used to cheaply detect and exploit structure in practically relevant instances of NP-hard problems that come from the same distribution?".
The problem of listing all maximum cliques in a graph is considered. A binary classifier is trained to discriminate between a node belonging to a maximum clique and a node that do not belong to a maximum clique: logistic regression is used with node features such as the total number of edges, node degree, clustering coefficient and trained on a set of graphs. The classifier is then used to prune the search space of a test graph: nodes that are labeled "not belonging to a maximum clique" by the classifier are removed. Some speedup is observed when comparing the running time of state-of-the-art methods on the original graph (or on a graph pruned using a baseline pruning method (degree pruning)) and on the pruned graph.
# A more challenging baseline pruning
For the baseline pruning: a heuristic is used to find a large clique and then if the found clique has size $k$, all nodes of degree $k-2$ or less are removed. It would have been better to iteratively remove all nodes of degree $k-2$ or less till there is no more such nodes and thus only keeping the $(k-1)$-core of the graph (it seems that only nodes of degree $k-2$ or less in the original graphs are removed). That would lead to much smaller graphs and a more challenging baseline pruning. How good is this k-core pruning?
In table 1, the speedup obtained with degree pruning is not reported for igraph and EmMCE. Is the speedup obtained by the proposed pruning much better than the one obtained by the degree pruning for these two programs?
# Setting the confidence threshold
The confidence threshold used for the logistic regression classifier is arbitrarily fixed to $q=0.55$. If $q$ is higher, then the list of maximum cliques computed on the pruned graph may not be correct (i.e. it may not be the same as in the original graph as nodes belonging to a maximum clique would be pruned). It is not clear to me why all results are exact in table 1: just luck? How about using $q=0.6$ or $0.7$? Parameter sensitivity is not discussed.
Note that if there is a single maximum clique of size $k$ and many cliques of size $k-1$ then removing a node from the maximum clique will completely change the output (which may then be many cliques of size $k-1$ instead of a single clique of size $k$).
Comments: