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Permutations and matchings are core building blocks in a variety of latent variable models, as they allow us to align, canonicalize, and sort data. Learning in such models is difficult, however, because exact marginalization over these…

Machine Learning · Statistics 2018-02-26 Gonzalo Mena , David Belanger , Scott Linderman , Jasper Snoek

Many learning problems require uncovering a hidden ordering that reveals structure in unordered data, such as monotonicity in sorting or spatial continuity in jigsaw reconstruction. In these settings, permutations can be learned as latent…

Machine Learning · Computer Science 2026-05-26 Ran Eisenberg , Ofir Lindenbaum

There has been a recent surge of interest in studying permutation-based models for ranking from pairwise comparison data. Despite being structurally richer and more robust than parametric ranking models, permutation-based models are less…

Machine Learning · Statistics 2017-10-31 Cheng Mao , Jonathan Weed , Philippe Rigollet

Sequential learning in deep models often suffers from challenges such as catastrophic forgetting and loss of plasticity, largely due to the permutation dependence of gradient-based algorithms, where the order of training data impacts the…

Machine Learning · Computer Science 2024-10-31 Akhilan Boopathy , Aneesh Muppidi , Peggy Yang , Abhiram Iyer , William Yue , Ila Fiete

Sorting input objects is an important step in many machine learning pipelines. However, the sorting operator is non-differentiable with respect to its inputs, which prohibits end-to-end gradient-based optimization. In this work, we propose…

Machine Learning · Statistics 2019-04-30 Aditya Grover , Eric Wang , Aaron Zweig , Stefano Ermon

Word embedding parameters often dominate overall model sizes in neural methods for natural language processing. We reduce deployed model sizes of text classifiers by learning a hard word clustering in an end-to-end manner. We use the…

Computation and Language · Computer Science 2019-06-25 Mingda Chen , Kevin Gimpel

Interpreting the decisions of complex computer vision models is crucial to establish trust and accountability, especially in safety-critical domains. An established approach to interpretability is generating visual attribution maps that…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 David Schinagl , Christian Fruhwirth-Reisinger , Alexander Prutsch , Samuel Schulter , Horst Possegger

Sorted data is usually easier to compress than unsorted permutations of the same data. This motivates a simple compression scheme: specify the sorted permutation of the data along with a representation of the sorted data compressed…

Data Structures and Algorithms · Computer Science 2014-11-24 Oscar Stiffelman

Natural language processing (NLP) models often require a massive number of parameters for word embeddings, resulting in a large storage or memory footprint. Deploying neural NLP models to mobile devices requires compressing the word…

Computation and Language · Computer Science 2017-11-20 Raphael Shu , Hideki Nakayama

Structured sparsity has emerged as a popular model pruning technique, widely adopted in various architectures, including CNNs, Transformer models, and especially large language models (LLMs) in recent years. A promising direction to further…

Machine Learning · Computer Science 2026-02-02 Zekai Li , Ji Liu , Guanchen Li , Yixing Xu , Ziqiong Liu , Xuanwu Yin , Dong Li , Emad Barsoum

The rapid increase in the parameters of deep learning models has led to significant costs, challenging computational efficiency and model interpretability. In this paper, we introduce a novel and straightforward neural network pruning…

Machine Learning · Computer Science 2023-11-23 Zhang Zhang , Ruyi Tao , Jiang Zhang

Graph neural networks (GNNs) have recently emerged as a dominant paradigm for machine learning with graphs. Research on GNNs has mainly focused on the family of message passing neural networks (MPNNs). Similar to the Weisfeiler-Leman (WL)…

Machine Learning · Statistics 2022-07-05 Giannis Nikolentzos , George Dasoulas , Michalis Vazirgiannis

Random reshuffling, which randomly permutes the dataset each epoch, is widely adopted in model training because it yields faster convergence than with-replacement sampling. Recent studies indicate greedily chosen data orderings can further…

Machine Learning · Computer Science 2023-01-05 Yucheng Lu , Wentao Guo , Christopher De Sa

Many problems at the intersection of combinatorics and computer science require solving for a permutation that optimally matches, ranks, or sorts some data. These problems usually have a task-specific, often non-differentiable objective…

Machine Learning · Computer Science 2018-05-21 Patrick Emami , Sanjay Ranka

Visually sorted grid layouts provide an efficient method for organizing high-dimensional vectors in two-dimensional space by aligning spatial proximity with similarity relationships. This approach facilitates the effective sorting of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Kai Uwe Barthel , Florian Tim Barthel , Peter Eisert , Nico Hezel , Konstantin Schall

Quadratic Unconstrained Binary Optimization (QUBO) is a standard NP-hard optimization problem. Recently, it has gained renewed interest through quantum computing, as QUBOs directly reduce to the Ising model, on which quantum annealing…

Quantum Physics · Physics 2026-03-16 Katalin Friedl , Levente Gegő , László Kabódi , Viktória Nemkin

This work builds upon previous efforts in online incremental learning, namely the Incremental Gaussian Mixture Network (IGMN). The IGMN is capable of learning from data streams in a single-pass by improving its model after analyzing each…

Machine Learning · Computer Science 2017-02-08 Rafael Pinto , Paulo Engel

Learning permutations is fundamental to sorting, ranking, and matching, but existing differentiable methods based on entropy-regularized Sinkhorn produce a single softened solution and collapse under ambiguity. We present PermFlow, a…

Machine Learning · Computer Science 2026-05-19 Yimeng Min , Carla P. Gomes

We present a novel technique for constructing differentiable order-type operations, including soft ranking, soft top-k selection, and soft permutations. Our approach leverages an efficient closed-form formula for the inverse of the function…

Artificial Intelligence · Computer Science 2025-09-04 Łukasz Struski , Michał B. Bednarczyk , Igor T. Podolak , Jacek Tabor

Sorting is an essential operation which is widely used and is fundamental to some very basic day to day utilities like searches, databases, social networks and much more. Optimizing this basic operation in terms of complexity as well as…

Data Structures and Algorithms · Computer Science 2021-07-06 Peeyush Kumar , Ayushe Gangal , Sunita Kumari , Sunita Tiwari
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