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We present a novel view of nonlinear manifold learning using derivative-free optimization techniques. Specifically, we propose an extension of the classical multi-dimensional scaling (MDS) method, where instead of performing gradient…

Generative models have demonstrated remarkable potential in time series analysis tasks, like synthesis, forecasting, imputation, etc. However, offering limited coverage for generative models, existing time series libraries are mainly…

Machine Learning · Computer Science 2026-05-20 Chenxi Wang , Xiaorong Wang , Peiyang Li , Yi Wang

Gradient-based dimension reduction decreases the cost of Bayesian inference and probabilistic modeling by identifying maximally informative (and informed) low-dimensional projections of the data and parameters, allowing high-dimensional…

Computation · Statistics 2025-06-02 Ricardo Baptista , Michael Brennan , Youssef Marzouk

We present a novel probabilistic clustering model for objects that are represented via pairwise distances and observed at different time points. The proposed method utilizes the information given by adjacent time points to find the…

Machine Learning · Computer Science 2015-04-16 Julia E. Vogt , Marius Kloft , Stefan Stark , Sudhir S. Raman , Sandhya Prabhakaran , Volker Roth , Gunnar Rätsch

Interpretable classification of time series presents significant challenges in high dimensions. Traditional feature selection methods in the frequency domain often assume sparsity in spectral density matrices (SDMs) or their inverses, which…

Machine Learning · Statistics 2024-08-19 Sarbojit Roy , Malik Shahid Sultan , Hernando Ombao

Going beyond correlations, the understanding and identification of causal relationships in observational time series, an important subfield of Causal Discovery, poses a major challenge. The lack of access to a well-defined ground truth for…

Machine Learning · Statistics 2021-04-19 Andrew R. Lawrence , Marcus Kaiser , Rui Sampaio , Maksim Sipos

In time-series analysis, many recent works seek to provide a unified view and representation for time-series across multiple domains, leading to the development of foundation models for time-series data. Despite diverse modeling techniques,…

Machine Learning · Computer Science 2025-01-08 Yunshi Wen , Tengfei Ma , Tsui-Wei Weng , Lam M. Nguyen , Anak Agung Julius

This paper focuses on the statistical analysis of shapes of data objects called shape graphs, a set of nodes connected by articulated curves with arbitrary shapes. A critical need here is a constrained registration of points (nodes to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Shenyuan Liang , Mauricio Pamplona Segundo , Sathyanarayanan N. Aakur , Sudeep Sarkar , Anuj Srivastava

Effective search methods are crucial for improving the performance of deep generative models at test time. In this paper, we introduce a novel test-time search method, Neural Genetic Search (NGS), which incorporates the evolutionary…

Neural and Evolutionary Computing · Computer Science 2025-06-18 Hyeonah Kim , Sanghyeok Choi , Jiwoo Son , Jinkyoo Park , Changhyun Kwon

Deep learning optimization exhibits structure that is not captured by worst-case gradient bounds. Empirically, gradients along training trajectories are often temporally predictable and evolve within a low-dimensional subspace. In this work…

Machine Learning · Computer Science 2026-01-09 Anherutowa Calvo

Accurate trajectory prediction is fundamentally challenging due to high scene heterogeneity - the severe variance in motion velocity, spatial density, and interaction patterns across different real-world environments. However, most existing…

Machine Learning · Computer Science 2026-05-22 Xinrun Wang , Deshun Xia , Yuxi Sun , Weijie Zhu

The shape of an object is an important characteristic for many vision problems such as segmentation, detection and tracking. Being independent of appearance, it is possible to generalize to a large range of objects from only small amounts…

Machine Learning · Statistics 2018-12-14 Alessandro Di Martino , Erik Bodin , Carl Henrik Ek , Neill D. F. Campbell

Subsequence anomaly detection in long sequences is an important problem with applications in a wide range of domains. However, the approaches proposed so far in the literature have severe limitations: they either require prior domain…

Machine Learning · Computer Science 2022-07-26 Paul Boniol , Themis Palpanas

We consider binary classification problems using local features of objects. One of motivating applications is time-series classification, where features reflecting some local closeness measure between a time series and a pattern sequence…

Machine Learning · Computer Science 2017-09-08 Daiki Suehiro , Kohei Hatano , Eiji Takimoto , Shuji Yamamoto , Kenichi Bannai , Akiko Takeda

High-level shape understanding and technique evaluation on large repositories of 3D shapes often benefit from additional information known about the shapes. One example of such information is the semantic segmentation of a shape into…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 David George , Xianguha Xie , Yu-Kun Lai , Gary KL Tam

This study presents the approach to analyzing the evolution of an arbitrary complex system whose behavior is characterized by a set of different time-dependent factors. The key requirement for these factors is only that they must contain an…

Data Analysis, Statistics and Probability · Physics 2020-12-01 Anatolii V. Mokshin , Vladimir V. Mokshin , Diana A. Mirziyarova

Sequentially obtained dataset usually exhibits different behavior at different data resolutions/scales. Instead of inferring from data at each scale individually, it is often more informative to interpret the data as an ensemble of time…

Mesoscale and Nanoscale Physics · Physics 2021-03-19 Yuan Yang , Jie Ding

Coreset selection targets the challenge of finding a small, representative subset of a large dataset that preserves essential patterns for effective machine learning. Although several surveys have examined data reduction strategies before,…

Machine Learning · Computer Science 2026-01-30 Brian B. Moser , Arundhati S. Shanbhag , Stanislav Frolov , Federico Raue , Joachim Folz , Andreas Dengel

The extension of traditional data mining methods to time series has been effectively applied to a wide range of domains such as finance, econometrics, biology, security, and medicine. Many existing mining methods deal with the task of…

Machine Learning · Computer Science 2023-12-19 Fabrizio Albertetti , Lionel Grossrieder , Olivier Ribaux , Kilian Stoffel

We seek to develop simultaneous segmentation and classification of notes from audio recordings in presence of outliers. The selected architecture for modeling time series is hierarchical linear dynamical system (HLDS). We propose a novel…

Sound · Computer Science 2022-03-01 Leila Kalantari , Jose Principe , Kathryn E. Sieving