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Compositional structures between parts and objects are inherent in natural scenes. Modeling such compositional hierarchies via unsupervised learning can bring various benefits such as interpretability and transferability, which are…

Machine Learning · Computer Science 2019-10-22 Fei Deng , Zhuo Zhi , Sungjin Ahn

How can neural networks perform so well on compositional tasks even though they lack explicit compositional representations? We use a novel analysis technique called ROLE to show that recurrent neural networks perform well on such tasks by…

Machine Learning · Computer Science 2023-02-10 Paul Soulos , Tom McCoy , Tal Linzen , Paul Smolensky

The Hierarchical Inference (HI) paradigm employs a tiered processing: the inference from simple data samples are accepted at the end device, while complex data samples are offloaded to the central servers. HI has recently emerged as an…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-17 Adarsh Prasad Behera , Roberto Morabito , Joerg Widmer , Jaya Prakash Champati

We consider a fair representation learning perspective, where optimal predictors, on top of the data representation, are ensured to be invariant with respect to different sub-groups. Specifically, we formulate this intuition as a bi-level…

Machine Learning · Computer Science 2022-05-27 Changjian Shui , Qi Chen , Jiaqi Li , Boyu Wang , Christian Gagné

A simple mechanism for allocating indivisible resources is sequential allocation in which agents take turns to pick items. We focus on possible and necessary allocation problems, checking whether allocations of a given form occur in some or…

Artificial Intelligence · Computer Science 2014-12-09 Haris Aziz , Toby Walsh , Lirong Xia

The organization of latent token representations plays a crucial role in determining the stability, generalization, and contextual consistency of language models, yet conventional approaches to embedding refinement often rely on parameter…

Computation and Language · Computer Science 2025-03-26 Meiquan Dong , Haoran Liu , Yan Huang , Zixuan Feng , Jianhong Tang , Ruoxi Wang

We introduce RIM-Net, a neural network which learns recursive implicit fields for unsupervised inference of hierarchical shape structures. Our network recursively decomposes an input 3D shape into two parts, resulting in a binary tree…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Chengjie Niu , Manyi Li , Kai Xu , Hao Zhang

Hierarchically designed mechanical metamaterials involve nested levels of structural organization, mimicking natural structures (such as bones, wood, and bird feathers) to create advanced functional materials. Compositional hierarchy, a…

Soft Condensed Matter · Physics 2026-05-21 Shammo Dutta , Girish Krishnan , Sree Kalyan Patiballa

At what level does selective pressure effectively act? When considering the reproductive dynamics of interacting and mutating agents, it has long been debated whether selection is better understood by focusing on the individual or if…

Populations and Evolution · Quantitative Biology 2023-11-02 Hardik Rajpal , Clem von Stengel , Pedro A. M. Mediano , Fernando E. Rosas , Eduardo Viegas , Pablo A. Marquet , Henrik J. Jensen

This paper describes serial and parallel compositional models of multiple objects with part sharing. Objects are built by part-subpart compositions and expressed in terms of a hierarchical dictionary of object parts. These parts are…

Computer Vision and Pattern Recognition · Computer Science 2013-01-17 Alan L. Yuille , Roozbeh Mottaghi

The problem of selection, storage, search and analysis of information about the state, functioning and interaction of elements of complex hierarchical network systems is considered. The principles of construction of information models of…

Physics and Society · Physics 2021-06-17 Olexandr Polishchuk , Mykhailo Yadzhak

Hierarchical inference systems route tasks across multiple computational layers, where each node may either finalize a prediction locally or offload the task to a node in the next layer for further processing. Learning optimal routing…

Machine Learning · Computer Science 2026-03-05 Haoran Zhang , Seohyeon Cha , Hasan Burhan Beytur , Kevin S Chan , Gustavo de Veciana , Haris Vikalo

How can we build recommender systems to take into account fairness? Real-world recommender systems are often composed of multiple models, built by multiple teams. However, most research on fairness focuses on improving fairness in a single…

Machine Learning · Computer Science 2021-01-27 Xuezhi Wang , Nithum Thain , Anu Sinha , Flavien Prost , Ed H. Chi , Jilin Chen , Alex Beutel

The underlying structure of natural language is hierarchical; words combine into phrases, which in turn form clauses. An awareness of this hierarchical structure can aid machine learning models in performing many linguistic tasks. However,…

Machine Learning · Computer Science 2020-04-01 Ashok Thillaisundaram

We consider multi-class classification where the predictor has a hierarchical structure that allows for a very large number of labels both at train and test time. The predictive power of such models can heavily depend on the structure of…

Machine Learning · Statistics 2017-03-06 Yacine Jernite , Anna Choromanska , David Sontag

Network data often arises via a series of structured interactions among a population of constituent elements. E-mail exchanges, for example, have a single sender followed by potentially multiple receivers. Scientific articles, on the other…

Methodology · Statistics 2019-01-30 Walter Dempsey , Brandon Oselio , Alfred Hero

Impartial selection problems are concerned with the selection of one or more agents from a set based on mutual nominations from within the set. To avoid strategic nominations of the agents, the axiom of impartiality requires that the…

Computer Science and Game Theory · Computer Science 2024-10-01 Javier Cembrano , Max Klimm , Arturo Merino

There is evidence that the self-assembly of complex molecular systems often proceeds hierarchically, by first building subunits that later assemble in larger entities, in a process that can repeat multiple times. Yet, our understanding of…

Soft Condensed Matter · Physics 2025-09-15 Miranda Holmes-Cerfon , Matthieu Wyart

We consider discrete, iterative load balancing via matchings on arbitrary graphs. Initially each node holds a certain number of tokens, defining the load of the node, and the objective is to redistribute the tokens such that eventually each…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-20 Petra Berenbrink , Robert Elsässer , Tom Friedetzky , Hamed Hosseinpour , Dominik Kaaser , Peter Kling , Thomas Sauerwald

Decomposing knowledge into interchangeable pieces promises a generalization advantage when there are changes in distribution. A learning agent interacting with its environment is likely to be faced with situations requiring novel…

Machine Learning · Computer Science 2021-05-20 Kanika Madan , Nan Rosemary Ke , Anirudh Goyal , Bernhard Schölkopf , Yoshua Bengio