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In this paper, we introduce a new concept namely degree polynomial for vertices of a simple graph. This notion leads to a concept namely degree polynomial sequence which is stronger than the concept of degree sequence. After obtaining the…

Combinatorics · Mathematics 2020-09-02 Reza Jafarpour-Golzari

Social learning is widely observed in many species. Less experienced agents copy successful behaviors, exhibited by more experienced individuals. Nevertheless, the dynamical mechanisms behind this process remain largely unknown. Here we…

Dynamical Systems · Mathematics 2024-02-08 Carlos Calvo Tapia , Ivan Y. Tyukin , Valeriy A. Makarov Slizneva

A collection of integer sequences is jointly ergodic if for every ergodic measure preserving system the multiple ergodic averages, with iterates given by this collection of sequences, converge in the mean to the product of the integrals. We…

Dynamical Systems · Mathematics 2023-02-06 Nikos Frantzikinakis

Graphs are a useful abstraction of image content. Not only can graphs represent details about individual objects in a scene but they can capture the interactions between pairs of objects. We present a method for training a convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Alejandro Newell , Jia Deng

We consider the problem of learning a manifold from a teacher's demonstration. Extending existing approaches of learning from randomly sampled data points, we consider contexts where data may be chosen by a teacher. We analyze learning from…

Machine Learning · Computer Science 2020-12-02 Pei Wang , Arash Givchi , Patrick Shafto

Systems of dynamical interactions between competing species can be used to model many complex systems, and can be mathematically described by {\em random} networks. Understanding how patterns of activity arise in such systems is important…

Adaptation and Self-Organizing Systems · Physics 2016-01-21 Nick McCullen , Thomas Wagenknecht

Recent years have witnessed the significant progress of action recognition task with deep networks. However, most of current video networks require large memory and computational resources, which hinders their applications in practice.…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Haisheng Su , Jing Su , Dongliang Wang , Weihao Gan , Wei Wu , Mengmeng Wang , Junjie Yan , Yu Qiao

Recent co-part segmentation methods mostly operate in a supervised learning setting, which requires a large amount of annotated data for training. To overcome this limitation, we propose a self-supervised deep learning method for co-part…

Computer Vision and Pattern Recognition · Computer Science 2021-04-12 Aliaksandr Siarohin , Subhankar Roy , Stéphane Lathuilière , Sergey Tulyakov , Elisa Ricci , Nicu Sebe

Traces and their extension called combined traces (comtraces) are two formal models used in the analysis and verification of concurrent systems. Both models are based on concepts originating in the theory of formal languages, and they are…

Logic in Computer Science · Computer Science 2015-07-01 Lukasz Mikulski

The ability to learn from a small number of examples has been a difficult problem in machine learning since its inception. While methods have succeeded with large amounts of training data, research has been underway in how to accomplish…

Machine Learning · Computer Science 2017-08-24 Nathan Hilliard , Nathan O. Hodas , Courtney D. Corley

Extracting and visualizing informative insights from temporal event sequences becomes increasingly difficult when data volume and variety increase. Besides dealing with high event type cardinality and many distinct sequences, it can be…

Human-Computer Interaction · Computer Science 2017-10-18 Andreas Mathisen , Kaj Grønbæk

Editing images via instruction provides a natural way to generate interactive content, but it is a big challenge due to the higher requirement of scene understanding and generation. Prior work utilizes a chain of large language models,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Liya Ji , Chenyang Qi , Qifeng Chen

Instruction tuning commonly means finetuning a language model on instruction-response pairs. We discover two forms of adaptation (tuning) that are deficient compared to instruction tuning, yet still yield instruction following; we call this…

Computation and Language · Computer Science 2024-09-24 John Hewitt , Nelson F. Liu , Percy Liang , Christopher D. Manning

The experimental study of neural networks requires simultaneous measurements of a massive number of neurons, while monitoring properties of the connectivity, synaptic strengths and delays. Current technological barriers make such a mission…

Neurons and Cognition · Quantitative Biology 2016-01-12 Amir Goldental , Pinhas Sabo , Shira Sardi , Roni Vardi , Ido Kanter

Accurately segmenting a citation string into fields for authors, titles, etc. is a challenging task because the output typically obeys various global constraints. Previous work has shown that modeling soft constraints, where the model is…

Computation and Language · Computer Science 2014-10-20 Sam Anzaroot , Alexandre Passos , David Belanger , Andrew McCallum

We consider the problem of jointly training structured models for extraction from sources whose instances enjoy partial overlap. This has important applications like user-driven ad-hoc information extraction on the web. Such applications…

Artificial Intelligence · Computer Science 2017-07-07 Rahul Gupta , Sunita Sarawagi

We propose a simple data model inspired from natural data such as text or images, and use it to study the importance of learning features in order to achieve good generalization. Our data model follows a long-tailed distribution in the…

Machine Learning · Computer Science 2023-01-02 Thomas Laurent , James H. von Brecht , Xavier Bresson

We discuss some examples in which symplectic monodromy (provably or conjecturally) splits off the symplectic mapping class group, hoping to illustrate different techniques and inputs to the arguments. Along the way we formulate several open…

Symplectic Geometry · Mathematics 2026-01-29 Ailsa Keating , Ivan Smith , Michael Wemyss

Neural sequence-to-sequence models are well established for applications which can be cast as mapping a single input sequence into a single output sequence. In this work, we focus on one-to-many sequence transduction problems, such as…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-26 Jing Shi , Xuankai Chang , Pengcheng Guo , Shinji Watanabe , Yusuke Fujita , Jiaming Xu , Bo Xu , Lei Xie

In self-supervised learning, self-distilled methods have shown impressive performance, learning representations useful for downstream tasks and even displaying emergent properties. However, state-of-the-art methods usually rely on ensembles…

Machine Learning · Computer Science 2026-05-01 Esteban Rodríguez-Betancourt , Edgar Casasola-Murillo