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A powerful approach for understanding neural population dynamics is to extract low-dimensional trajectories from population recordings using dimensionality reduction methods. Current approaches for dimensionality reduction on neural data…

机器学习 · 统计学 2017-11-07 Marcel Nonnenmacher , Srinivas C. Turaga , Jakob H. Macke

In general, comprehension of any type of complex system depends on the resolution used to examine the phenomena occurring within it. However, identifying a priori, for example, the best time frequencies/scales to study a certain system…

数据分析、统计与概率 · 物理学 2025-12-01 Domiziano Doria , Simone Martino , Matteo Becchi , Giovanni M. Pavan

We propose a novel sparsity model for distributed compressed sensing in the multiple measurement vectors (MMV) setting. Our model extends the concept of row-sparsity to allow more general types of structured sparsity arising in a variety of…

数值分析 · 数学 2022-01-03 Florian Boßmann , Sara Krause-Solberg , Johannes Maly , Nada Sissouno

In high-dimensional statistical inference in which the number of parameters to be estimated is larger than that of the holding data, regularized linear estimation techniques are widely used. These techniques have, however, some drawbacks.…

统计方法学 · 统计学 2025-08-06 Takashi Takahashi , Yoshiyuki Kabashima

Recurrent neural networks (RNNs) have recently achieved remarkable successes in a number of applications. However, the huge sizes and computational burden of these models make it difficult for their deployment on edge devices. A practically…

机器学习 · 计算机科学 2019-12-10 Liangjian Wen , Xuanyang Zhang , Haoli Bai , Zenglin Xu

Recent advances in digitization have led to the availability of multivariate time series data in various domains, enabling real-time monitoring of operations. Identifying abnormal data patterns and detecting potential failures in these…

机器学习 · 计算机科学 2023-10-10 Fan Wang , Keli Wang , Boyu Yao

Time series anomaly detection plays a critical role in many dynamic systems. Despite its importance, previous approaches have primarily relied on unimodal numerical data, overlooking the importance of complementary information from other…

机器学习 · 计算机科学 2026-03-24 Shiyan Hu , Jianxin Jin , Yang Shu , Peng Chen , Bin Yang , Chenjuan Guo

We introduce a new technique for the efficient management of large sequences of multidimensional data, which takes advantage of regularities that arise in real-world datasets and supports different types of aggregation queries. More…

数据结构与算法 · 计算机科学 2018-03-08 Nieves R. Brisaboa , Guillermo de Bernardo , Gonzalo Navarro , Tirso V. Rodeiro , Diego Seco

Multidimensional scaling is an important dimension reduction tool in statistics and machine learning. Yet few theoretical results characterizing its statistical performance exist, not to mention any in high dimensions. By considering a…

统计方法学 · 统计学 2022-03-30 Xiucai Ding , Qiang Sun

Predicting human mobility is inherently challenging due to complex long-range dependencies and multi-scale periodic behaviors. To address this, we introduce RHYTHM (Reasoning with Hierarchical Temporal Tokenization for Human Mobility), a…

机器学习 · 计算机科学 2026-02-25 Haoyu He , Haozheng Luo , Yan Chen , Qi R. Wang

Given $n$ noisy samples with $p$ dimensions, where $n \ll p$, we show that the multi-step thresholding procedure based on the Lasso -- we call it the {\it Thresholded Lasso}, can accurately estimate a sparse vector $\beta \in \R^p$ in a…

统计理论 · 数学 2010-02-11 Shuheng Zhou

This work proposes a new moment-SOS hierarchy, called CS-TSSOS, for solving large-scale sparse polynomial optimization problems. Its novelty is to exploit simultaneously correlative sparsity and term sparsity by combining advantages of two…

最优化与控制 · 数学 2021-06-10 Jie Wang , Victor Magron , Jean B. Lasserre , Ngoc Hoang Anh Mai

Multidimensional scaling is a statistical process that aims to embed high dimensional data into a lower-dimensional space; this process is often used for the purpose of data visualisation. Common multidimensional scaling algorithms tend to…

机器学习 · 计算机科学 2022-02-25 Pierre Lambert , Cyril de Bodt , Michel Verleysen , John Lee

Disentanglement is a highly desirable property of representation due to its similarity with human's understanding and reasoning. This improves interpretability, enables the performance of down-stream tasks, and enables controllable…

机器学习 · 计算机科学 2020-10-24 Jiantao Wu , Lin Wang

Censored data are quite common in statistics and have been studied in depth in the last years. In this paper we consider censored high-dimensional data. High-dimensional models are in some way more complex than their low-dimensional…

统计理论 · 数学 2014-05-06 Patric Müller , Sara van de Geer

We present a data dependent generalization bound for a large class of regularized algorithms which implement structured sparsity constraints. The bound can be applied to standard squared-norm regularization, the Lasso, the group Lasso, some…

机器学习 · 计算机科学 2012-08-21 Andreas Maurer , Massimiliano Pontil

The moment-sum of squares hierarchy by Lasserre has become an established technique for solving polynomial optimization problems. It provides a monotonically increasing series of tight bounds, but has well-known scalability limitations. For…

最优化与控制 · 数学 2024-02-09 Daria Shaydurova , Volker Kaibel , Sebastian Sager

This paper introduces a SSSUMO, semi-supervised deep learning approach for submovement decomposition that achieves state-of-the-art accuracy and speed. While submovement analysis offers valuable insights into motor control, existing methods…

人机交互 · 计算机科学 2025-07-14 Evgenii Rudakov , Jonathan Shock , Otto Lappi , Benjamin Ultan Cowley

Modern data analytics take advantage of ensemble learning and transfer learning approaches to tackle some of the most relevant issues in data analysis, such as lack of labeled data to use to train the analysis models, sparsity of the…

A major bottleneck for building statistical spoken dialogue systems for new domains and applications is the need for large amounts of training data. To address this problem, we adopt the multi-dimensional approach to dialogue management and…

计算与语言 · 计算机科学 2022-04-15 Simon Keizer , Norbert Braunschweiler , Svetlana Stoyanchev , Rama Doddipatla