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This paper describes a hierarchical learning strategy for generating sparse representations of multivariate datasets. The hierarchy arises from approximation spaces considered at successively finer scales. A detailed analysis of stability,…

Machine Learning · Statistics 2019-10-23 Prashant Shekhar , Abani Patra

We frame code generation as a black-box optimization problem within the code space and demonstrate how optimization-inspired techniques can enhance inference scaling. Based on this perspective, we propose SCATTERED FOREST SEARCH (SFS), a…

Software Engineering · Computer Science 2025-02-26 Jonathan Light , Yue Wu , Yiyou Sun , Wenchao Yu , Yanchi liu , Xujiang Zhao , Ziniu Hu , Haifeng Chen , Wei Cheng

Distributional regression aims at estimating the conditional distribution of a targetvariable given explanatory co-variates. It is a crucial tool for forecasting whena precise uncertainty quantification is required. A popular methodology…

Statistics Theory · Mathematics 2024-11-22 Clément Dombry , Ahmed Zaoui

Sparse coding consists in representing signals as sparse linear combinations of atoms selected from a dictionary. We consider an extension of this framework where the atoms are further assumed to be embedded in a tree. This is achieved…

Machine Learning · Statistics 2011-08-18 Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski , Francis Bach

There exist endless examples of dynamical systems with vast available data and unsatisfying mathematical descriptions. Sparse regression applied to symbolic libraries has quickly emerged as a powerful tool for learning governing equations…

Machine Learning · Computer Science 2024-05-17 Matthew Golden

Sparse neural networks have been widely applied to reduce the computational demands of training and deploying over-parameterized deep neural networks. For inference acceleration, methods that discover a sparse network from a pre-trained…

Machine Learning · Computer Science 2021-06-16 Shiwei Liu , Decebal Constantin Mocanu , Yulong Pei , Mykola Pechenizkiy

This paper presents an efficient algorithm for retrieving from a database of trees, all trees that match a given query tree approximately, that is, within a certain error tolerance. It has natural language processing applications in…

cmp-lg · Computer Science 2008-02-03 Kemal Oflazer

In many modern applications, including analysis of gene expression and text documents, the data are noisy, high-dimensional, and unordered--with no particular meaning to the given order of the variables. Yet, successful learning is often…

Methodology · Statistics 2008-07-25 Ann B. Lee , Boaz Nadler , Larry Wasserman

In this paper, we develop a new sequential regression modeling approach for data streams. Data streams are commonly found around us, e.g in a retail enterprise sales data is continuously collected every day. A demand forecasting model is an…

Machine Learning · Statistics 2017-01-11 Chitta Ranjan , Samaneh Ebrahimi , Kamran Paynabar

With the emergence of the big data age, the issue of how to obtain valuable knowledge from a dataset efficiently and accurately has attracted increasingly attention from both academia and industry. This paper presents a Parallel Random…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-26 Jianguo Chen , Kenli Li , Zhuo Tang , Kashif Bilal , Shui Yu , Chuliang Weng , Keqin Li

Decision tree algorithms have been among the most popular algorithms for interpretable (transparent) machine learning since the early 1980's. The problem that has plagued decision tree algorithms since their inception is their lack of…

Machine Learning · Computer Science 2023-09-28 Xiyang Hu , Cynthia Rudin , Margo Seltzer

Regression tree (RT) has been widely used in machine learning and data mining community. Given a target data for prediction, a regression tree is first constructed based on a training dataset before making prediction for each leaf node. In…

Machine Learning · Computer Science 2020-10-22 Xingchun Xiang , Qingtao Tang , Huaixuan Zhang , Tao Dai , Jiawei Li , Shu-Tao Xia

The high computational costs of video super-resolution (VSR) models hinder their deployment on resource-limited devices, (e.g., smartphones and drones). Existing VSR models contain considerable redundant filters, which drag down the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Bin Xia , Jingwen He , Yulun Zhang , Yitong Wang , Yapeng Tian , Wenming Yang , Luc Van Gool

Sparse recovery is one of the most fundamental and well-studied inverse problems. Standard statistical formulations of the problem are provably solved by general convex programming techniques and more practical, fast (nearly-linear time)…

Data Structures and Algorithms · Computer Science 2022-03-09 Jonathan A. Kelner , Jerry Li , Allen Liu , Aaron Sidford , Kevin Tian

A novel algorithm is developed to downscale soil moisture (SM), obtained at satellite scales of 10-40 km by utilizing its temporal correlations to historical auxiliary data at finer scales. Including such correlations drastically reduces…

Computer Vision and Pattern Recognition · Computer Science 2016-01-22 Subit Chakrabarti , Jasmeet Judge , Tara Bongiovanni , Anand Rangarajan , Sanjay Ranka

The dominant trackers generate a fixed-size rectangular region based on the previous prediction or initial bounding box as the model input, i.e., search region. While this manner obtains promising tracking efficiency, a fixed-size search…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Jiawen Zhu , Xin Chen , Pengyu Zhang , Xinying Wang , Dong Wang , Wenda Zhao , Huchuan Lu

During the last decade, sampling-based path planning algorithms, such as Probabilistic RoadMaps (PRM) and Rapidly-exploring Random Trees (RRT), have been shown to work well in practice and possess theoretical guarantees such as…

Robotics · Computer Science 2011-05-09 Sertac Karaman , Emilio Frazzoli

Sparse reduced-rank regression is an important tool to uncover meaningful dependence structure between large numbers of predictors and responses in many big data applications such as genome-wide association studies and social media…

Methodology · Statistics 2016-08-15 Mohammad Taha Bahadori , Zemin Zheng , Yan Liu , Jinchi Lv

We introduce an algorithm that performs a one-directional mesh overset of a parallel forest of octrees with another distributed mesh of unrelated partition. The forest mesh consists of several adaptively refined octrees. Individual smooth…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-03 Hannes Brandt , Carsten Burstedde

The paper presents an algorithm, called Self-Morphing Adaptive Replanning Tree (SMART), that facilitates fast replanning in dynamic environments. SMART performs risk based tree-pruning if the current path is obstructed by nearby moving…

Robotics · Computer Science 2023-09-22 Zongyuan Shen , James P. Wilson , Shalabh Gupta , Ryan Harvey