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Classic problems for which the input and/or output is set-valued are ubiquitous in machine learning. For example, multi-instance learning, estimating population statistics, and point cloud classification are all problem domains in which the input is set-valued. In multi-label classification the output is a set of labels, and in clustering, the output is a partition. New tasks that take sets as input are also rapidly emerging in a variety of application areas including: high energy physics, cosmology, crystallography, and art. As a natural means of succinctly capturing large collections of items, techniques for learning representations of sets and partitions have significant potential to enhance scalability, capture complex dependencies, and improve interpretability. The importance and potential of improved set processing has led to recent work on permutation invariant and equivariant representations (Ravanbakhsh et al, 2016; Zaheer et al, 2017; Ilse et al, 2018; Hartford et al, 2018; Lee et al, 2019, Cotter et al, 2019, Bloom-Reddy & Teh, 2019, and more) and continuous representations of set-based outputs and partitions (Tai and Lin, 2012; Belanger & McCallum, 2015; Wiseman et al, 2016; Caron et al, 2018; Zhang et al, 2019; Vikram et al 2019).
The goal of this workshop is to explore:
- Permutation invariant and equivariant representations; empirical performance, limitations, implications, inductive biases of proposed representations of sets and partitions, as well as rich models of interaction among set elements;
- Inference methods for predicting sets or clusterings; approaches based on gradient-descent, continuous representations, amenable to end-to-end optimization with other models;
- New applications of set and partition-based models.
The First Workshop on Sets and Partitions, to be held as a part of the NeurIPS 2019 conference, focuses on models for tasks with set-based inputs/outputs as well as models of partitions and novel clustering methodology. The workshop welcomes both methodological and theoretical contributions, and also new applications. Connections to related problems in optimization, algorithms, theory as well as investigations of learning approaches to set/partition problems are also highly relevant to the workshop. We invite both paper submissions and submissions of open problems. We hope that the workshops will inspire further progress in this important field.
Organizing Committee:
Andrew McCallum, UMass Amherst
Ruslan Salakhutdinov, CMU
Barnabas Poczos, CMU
Junier Oliva, UNC Chapel Hill
Manzil Zaheer, Google Research
Ari Kobren, UMass Amherst
Nicholas Monath, UMass Amherst
with senior advisory support from Alex Smola.
Invited Speakers:
Siamak Ravanbakhsh
Abhishek Khetan
Eunsu Kang
Amr Ahmed
Stefanie Jegelka
Sat 8:45 a.m. - 9:00 a.m.
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Opening Remarks
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Talk
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Manzil Zaheer · Nicholas Monath · Ari Kobren · Junier Oliva · Barnabas Poczos · Ruslan Salakhutdinov · Andrew McCallum 🔗 |
Sat 9:00 a.m. - 9:45 a.m.
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Invited Talk - Stefanie Jegelka - Set Representations in Graph Neural Networks and Reasoning
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Talk
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Stefanie Jegelka 🔗 |
Sat 9:45 a.m. - 10:30 a.m.
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Coffee Break & Poster Session 1
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Poster Session
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Poster Session 1 Paper Titles & Authors: Deep Set Prediction Networks. Yan Zhang, Jonathon Hare, Adam Prügel-Bennett Deep Hyperedges: a Framework for Transductive and Inductive Learning on Hypergraphs. Joshua Payne FSPool: Learning Set Representations with Featurewise Sort Pooling. Yan Zhang, Jonathon Hare, Adam Prügel-Bennett Deep Learning Features Through Dictionary Learning with Improved Clustering for Image Classification. Shengda Luo, Alex Po Leung, Haici Zhang Globally Optimal Model-based Clustering via Mixed Integer Nonlinear Programming. Patrick Flaherty, Pitchaya Wiratchotisatian, Andrew C. Trapp Sliding Window Algorithms for k-Clustering Problems. Michele Borassi, Alessandro Epasto, Silvio Lattanzi, Sergei Vassilvitski, Morteza Zadimoghaddam Optimized Recommendations When Customers Select Multiple Products. Prasoon Patidar, Deeksha Sinha, Theja Tulabandhula Manipulating Person Videos with Natural Language. Levent Karacan, Mehmet Gunel, Aykut Erdem, Erkut Erdem Permutation Invariance and Relational Reasoning in Multi-Object Tracking. Fabian B. Fuchs, Adam R. Kosiorek, Li Sun, Oiwi Parker Jones, Ingmar Posner. Clustering by Learning to Optimize Normalized Cuts. Azade Nazi, Will Hang, Anna Goldie, Sujith Ravi, Azalia Mirhoseini Deformable Filter Convolution for Point Cloud Reasoning. Yuwen Xiong, Mengye Ren, Renjie Liao, Kelvin Wong, Raquel Urtasun Learning Embeddings from Cancer Mutation Sets for Classification Tasks. Geoffroy Dubourg-Felonneau, Yasmeen Kussad, Dominic Kirkham, John Cassidy, Harry W Clifford Exchangeable Generative Models with Flow Scans. Christopher M. Bender, Kevin O'Connor, Yang Li, Juan Jose Garcia, Manzil Zaheer, Junier Oliva Conditional Invertible Flow for Point Cloud Generation. Stypulkowski Michal, Zamorski Maciej, Zieba Maciej, Chorowski Jan Getting Topology and Point Cloud Generation to Mesh. Austin Dill, Chun-Liang Li, Songwei Ge, Eunsu Kang Distributed Balanced Partitioning and Applications in Large-scale Load Balancing. Aaron Archer, Kevin Aydin, MohammadHossein Bateni, Vahab Mirrokni, Aaron Schild, Ray Yang, Richard Zhuang |
Yan Zhang · Jonathon Hare · Adam Prugel-Bennett · Po Leung · Patrick Flaherty · Pitchaya Wiratchotisatian · Alessandro Epasto · Silvio Lattanzi · Sergei Vassilvitskii · Morteza Zadimoghaddam · Theja Tulabandhula · Fabian Fuchs · Adam Kosiorek · Ingmar Posner · William Hang · Anna Goldie · Sujith Ravi · Azalia Mirhoseini · Yuwen Xiong · Mengye Ren · Renjie Liao · Raquel Urtasun · Haici Zhang · Michele Borassi · Shengda Luo · Andrew Trapp · Geoffroy Dubourg-Felonneau · Yasmeen Kussad · Christopher Bender · Manzil Zaheer · Junier Oliva · Michał Stypułkowski · Maciej Zieba · Austin Dill · Chun-Liang Li · Songwei Ge · Eunsu Kang · Oiwi Parker Jones · Kelvin Ka Wing Wong · Joshua Payne · Yang Li · Azade Nazi · Erkut Erdem · Aykut Erdem · Kevin O'Connor · Juan J Garcia · Maciej Zamorski · Jan Chorowski · Deeksha Sinha · Harry Clifford · John W Cassidy
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Sat 10:30 a.m. - 11:15 a.m.
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Invited Talk - Siamak Ravanbakhsh - Equivariant Multilayer Perceptrons
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Talk
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Siamak Ravanbakhsh 🔗 |
Sat 11:15 a.m. - 11:30 a.m.
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Contributed Talk - Towards deep amortized clustering
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Talk
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Juho Lee · Yoonho Lee · Yee Whye Teh 🔗 |
Sat 11:30 a.m. - 11:45 a.m.
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Contributed Talk - Fair Hierarchical Clustering
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Talk
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Sara Ahmadian · Alessandro Epasto · Marina Knittel · Ravi Kumar · Mohammad Mahdian · Philip Pham 🔗 |
Sat 11:45 a.m. - 12:30 p.m.
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Invited Talk - Abhishek Khetan - Molecular geometries as point clouds: Learning physico-chemical properties using DeepSets
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Talk
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Abhishek Khetan 🔗 |
Sat 12:30 p.m. - 2:00 p.m.
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Lunch Break (on your own)
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Sat 2:00 p.m. - 2:15 p.m.
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Contributed Talk - Limitations of Deep Learning on Point Clouds
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Talk
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Limitations of Deep Learning on Point Clouds Christian Bueno, Alan G. Hylton |
Christian Bueno 🔗 |
Sat 2:15 p.m. - 2:30 p.m.
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Contributed Talk - Chirality Nets: Exploiting Structure in Human Pose Regression
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Talk
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Raymond A. Yeh · Yuan-Ting Hu · Alex Schwing 🔗 |
Sat 2:30 p.m. - 3:15 p.m.
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Invited Talk - Eunsu Kang - Sets for Arts
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Talk
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Eunsu Kang 🔗 |
Sat 3:15 p.m. - 4:15 p.m.
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Coffee Break & Poster Session 2
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Poster Session
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Poster Session 2 Paper Titles & Authors: Towards deep amortized clustering. Juho Lee, Yoonho Lee, Yee Whye Teh Chirality Nets: Exploiting Structure in Human Pose Regression. Raymond Yeh, Yuan-Ting Hu, Alexander Schwing Fair Hierarchical Clustering. Sara Ahmadian, Alessandro Epasto, Marina Knittel, Ravi Kumar, Mohammad Mahdian, Philip Pham Limitations of Deep Learning on Point Clouds. Christian Bueno, Alan G. Hylton How Powerful Are Randomly Initialized Pointcloud Set Functions? Aditya Sanghi, Pradeep Kumar Jayaraman On the Possibility of Rewarding Structure Learning Agents: Mutual Information on Linguistic Random Sets. Ignacio Arroyo-Fernández, Mauricio Carrasco-Ruiz, José Anibal Arias-Aguilar Modelling Convolution as a Finite Set of Operations Through Transformation Semigroup Theory. Andrew Hryniowski, Alexander Wong HCA-DBSCAN: HyperCube Accelerated Density Based Spatial Clustering for Applications with Noise. Vinayak Mathur, Jinesh Mehta, Sanjay Singh Finding densest subgraph in probabilistically evolving graphs. Sara Ahmadian, Shahrzad Haddadan Representation Learning with Multisets. Vasco Portilheiro PairNets: Novel Fast Shallow Artificial Neural Networks on Partitioned Subspaces. Luna Zhang Fair Correlation Clustering. Sara Ahmadian, Alessandro Epasto, Ravi Kumar, Mohammad Mahdian Learning Maximally Predictive Prototypes in Multiple Instance Learning. Mert Yuksekgonul, Ozgur Emre Sivrikaya, Mustafa Gokce Baydogan Deep Clustering using MMD Variational Autoencoder and Traditional Clustering Algorithms. Jhosimar Arias Hypergraph Partitioning using Tensor Eigenvalue Decomposition. Deepak Maurya, Balaraman Ravindran, Shankar Narasimhan Information Geometric Set Embeddings: From Sets to Distributions. Ke Sun, Frank Nielsen Document Representations using Fine-Grained Topics. Justin Payan, Andrew McCallum |
Juho Lee · Yoonho Lee · Yee Whye Teh · Raymond A. Yeh · Yuan-Ting Hu · Alex Schwing · Sara Ahmadian · Alessandro Epasto · Marina Knittel · Ravi Kumar · Mohammad Mahdian · Christian Bueno · Aditya Sanghi · Pradeep Kumar Jayaraman · Ignacio Arroyo-Fernández · Andrew Hryniowski · Vinayak Mathur · Sanjay Singh · Shahrzad Haddadan · Vasco Portilheiro · Luna Zhang · Mert Yuksekgonul · Jhosimar Arias Figueroa · Deepak Maurya · Balaraman Ravindran · Frank NIELSEN · Philip Pham · Justin Payan · Andrew McCallum · Jinesh Mehta · Ke SUN
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Sat 4:15 p.m. - 5:00 p.m.
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Invited Talk - Alexander J. Smola - Sets and symmetries
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Talk
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Alexander Smola 🔗 |
Sat 5:00 p.m. - 5:40 p.m.
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Panel Discussion
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Sat 5:40 p.m. - 5:45 p.m.
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Closing Remarks
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Talk
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🔗 |
Author Information
Nicholas Monath (University of Massachusetts Amherst)
Manzil Zaheer (Google)
Andrew McCallum (UMass Amherst)
Ari Kobren (UMass Amherst)
Junier Oliva (UNC - Chapel Hill)
Barnabas Poczos (Carnegie Mellon University)
Ruslan Salakhutdinov (Carnegie Mellon University)
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