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Learning governing equations allows for deeper understanding of the structure and dynamics of data. We present a random sampling method for learning structured dynamical systems from under-sampled and possibly noisy state-space…

信息论 · 计算机科学 2018-05-14 Hayden Schaeffer , Giang Tran , Rachel Ward , Linan Zhang

This research establishes that many real-world networks exhibit bounded expansion, a strong notion of structural sparsity, and demonstrates that it can be leveraged to design efficient algorithms for network analysis. We analyze several…

社会与信息网络 · 计算机科学 2018-10-15 Erik D. Demaine , Felix Reidl , Peter Rossmanith , Fernando Sanchez Villaamil , Somnath Sikdar , Blair D. Sullivan

Topic models have been widely used to learn text representations and gain insight into document corpora. To perform topic discovery, most existing neural models either take document bag-of-words (BoW) or sequence of tokens as input followed…

计算与语言 · 计算机科学 2021-07-12 Madhur Panwar , Shashank Shailabh , Milan Aggarwal , Balaji Krishnamurthy

A central question in computational neuroscience is how structure determines function in neural networks. The emerging high-quality large-scale connectomic datasets raise the question of what general functional principles can be gleaned…

神经元与认知 · 定量生物学 2022-10-25 Weishun Zhong , Ben Sorscher , Daniel D Lee , Haim Sompolinsky

Languages are not created randomly but rather to communicate information. There is a strong association between languages and their underlying meanings, resulting in a sparse joint distribution that is heavily peaked according to their…

计算与语言 · 计算机科学 2023-09-15 Hui Jiang

Neural topic models have triggered a surge of interest in extracting topics from text automatically since they avoid the sophisticated derivations in conventional topic models. However, scarce neural topic models incorporate the word…

人工智能 · 计算机科学 2021-05-24 Rui Wang , Deyu Zhou , Yuxuan Xiong , Haiping Huang

Sparsity-based models and techniques have been exploited in many signal processing and imaging applications. Data-driven methods based on dictionary and sparsifying transform learning enable learning rich image features from data, and can…

机器学习 · 计算机科学 2019-09-25 Saiprasad Ravishankar , Anna Ma , Deanna Needell

We study linear models under heavy-tailed priors from a probabilistic viewpoint. Instead of computing a single sparse most probable (MAP) solution as in standard deterministic approaches, the focus in the Bayesian compressed sensing…

计算机视觉与模式识别 · 计算机科学 2014-03-05 George Papandreou , Alan Yuille

RST-style discourse parsing plays a vital role in many NLP tasks, revealing the underlying semantic/pragmatic structure of potentially complex and diverse documents. Despite its importance, one of the most prevailing limitations in modern…

计算与语言 · 计算机科学 2021-12-14 Patrick Huber , Linzi Xing , Giuseppe Carenini

Breaking down a document or a conversation into multiple contiguous segments based on its semantic structure is an important and challenging problem in NLP, which can assist many downstream tasks. However, current works on topic…

Decentralized sparsity learning has attracted a significant amount of attention recently due to its rapidly growing applications. To obtain the robust and sparse estimators, a natural idea is to adopt the non-smooth median loss combined…

机器学习 · 统计学 2022-03-02 Weidong Liu , Xiaojun Mao , Xin Zhang

Sparse modeling for signal processing and machine learning has been at the focus of scientific research for over two decades. Among others, supervised sparsity-aware learning comprises two major paths paved by: a) discriminative methods and…

机器学习 · 统计学 2022-11-23 Lei Cheng , Feng Yin , Sergios Theodoridis , Sotirios Chatzis , Tsung-Hui Chang

"Sparse" neural networks, in which relatively few neurons or connections are active, are common in both machine learning and neuroscience. Whereas in machine learning, "sparsity" is related to a penalty term that leads to some connecting…

神经与进化计算 · 计算机科学 2021-08-19 Luca Manneschi , Andrew C. Lin , Eleni Vasilaki

A new line of research for feature selection based on neural networks has recently emerged. Despite its superiority to classical methods, it requires many training iterations to converge and detect informative features. The computational…

机器学习 · 计算机科学 2022-11-29 Ghada Sokar , Zahra Atashgahi , Mykola Pechenizkiy , Decebal Constantin Mocanu

We present the framework of slowly varying regression under sparsity, allowing sparse regression models to exhibit slow and sparse variations. The problem of parameter estimation is formulated as a mixed-integer optimization problem. We…

机器学习 · 计算机科学 2023-11-14 Dimitris Bertsimas , Vassilis Digalakis , Michael Linghzi Li , Omar Skali Lami

We consider the problem of online linear regression on arbitrary deterministic sequences when the ambient dimension d can be much larger than the number of time rounds T. We introduce the notion of sparsity regret bound, which is a…

机器学习 · 统计学 2013-04-17 Sébastien Gerchinovitz

Time series forecasting is traditionally dominated by sequence-based architectures such as recurrent neural networks and attention mechanisms, which process all time steps uniformly and often incur substantial computational cost. However,…

信号处理 · 电气工程与系统科学 2026-04-21 K. A. Shahriar

In prescriptive analytics, the decision-maker observes historical samples of $(X, Y)$, where $Y$ is the uncertain problem parameter and $X$ is the concurrent covariate, without knowing the joint distribution. Given an additional covariate…

最优化与控制 · 数学 2021-06-11 Tianyu Wang , Ningyuan Chen , Chun Wang

The task of discovering topics in text corpora has been dominated by Latent Dirichlet Allocation and other Topic Models for over a decade. In order to apply these approaches to massive text corpora, the vocabulary needs to be reduced…

计算与语言 · 计算机科学 2019-08-08 Gibran Fuentes-Pineda , Ivan Vladimir Meza-Ruiz

Sparse mapping has been a key methodology in many high-dimensional scientific problems. When multiple tasks share the set of relevant features, learning them jointly in a group drastically improves the quality of relevant feature selection.…

机器学习 · 统计学 2017-09-18 Meghana Kshirsagar , Eunho Yang , Aurélie C. Lozano