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Neural ordinary differential equations are an attractive option for modelling temporal dynamics. However, a fundamental issue is that the solution to an ordinary differential equation is determined by its initial condition, and there is no…

Machine Learning · Computer Science 2020-11-06 Patrick Kidger , James Morrill , James Foster , Terry Lyons

In this paper, we use Time Scale Calculus (TSC) to formulate and solve pharmacokinetic models exploring multiple dose dynamics. TSC is a mathematical framework that allows the modeling of dynamical systems comprising continuous and discrete…

Dynamical Systems · Mathematics 2024-04-10 Santiago Torres Paz , Jose Ricardo Arteaga Bejarano

Time-series data classification is central to the analysis and control of autonomous systems, such as robots and self-driving cars. Temporal logic-based learning algorithms have been proposed recently as classifiers of such data. However,…

Machine Learning · Computer Science 2022-07-08 Erfan Aasi , Cristian Ioan Vasile , Mahroo Bahreinian , Calin Belta

Classification of ordinal data is one of the most important tasks of relation learning. In this thesis a novel framework for ordered classes is proposed. The technique reduces the problem of classifying ordered classes to the standard…

Artificial Intelligence · Computer Science 2007-05-23 Jaime S. Cardoso

From a theoretical view, this paper addresses the general problem of designing ordinal classification methods based on comparing actions with subset of actions, which are representative of their classes (categories). The basic demand of the…

Theoretical Economics · Economics 2021-07-13 Eduardo Fernandez , Jorge Navarro , Efrain Solares

Time series classification(TSC) has always been an important and challenging research task. With the wide application of deep learning, more and more researchers use deep learning models to solve TSC problems. Since time series always…

Machine Learning · Computer Science 2021-01-27 Shibo Zhou , Yu Pan

TMs are a pattern recognition approach that uses finite state machines for learning and propositional logic to represent patterns. In addition to being natively interpretable, they have provided competitive accuracy for various tasks. In…

Computation and Language · Computer Science 2021-02-23 Rupsa Saha , Ole-Christoffer Granmo , Vladimir I. Zadorozhny , Morten Goodwin

Dictionary learning is a widely used technique in signal processing and machine learning that aims to represent data as a linear combination of a few elements from an overcomplete dictionary. In this work, we propose a generalization of the…

Numerical Analysis · Mathematics 2025-03-13 Ferdaous Ait Addi , Abdeslem Hafid Bentbib , Khalide Jbilou

We develop an algorithm which can learn from partially labeled and unsegmented sequential data. Most sequential loss functions, such as Connectionist Temporal Classification (CTC), break down when many labels are missing. We address this…

Machine Learning · Computer Science 2022-03-07 Vineel Pratap , Awni Hannun , Gabriel Synnaeve , Ronan Collobert

Ordinal classification problems, where labels exhibit a natural order, are prevalent in high-stakes fields such as medicine and finance. Accurate uncertainty quantification, including the decomposition into aleatoric (inherent variability)…

Machine Learning · Computer Science 2025-07-02 Stefan Haas , Eyke Hüllermeier

We consider the problem of sorting $n$ items, given the outcomes of $m$ pre-existing comparisons. We present a simple and natural deterministic algorithm that runs in $O(m + \log T)$ time and does $O(\log T)$ comparisons, where $T$ is the…

Data Structures and Algorithms · Computer Science 2026-05-06 Bernhard Haeupler , Richard Hladík , John Iacono , Vaclav Rozhon , Robert Tarjan , Jakub Tětek

Consider a scenario in which we have a huge labeled dataset ${\cal D}$ and a limited time to train some given learner using ${\cal D}$. Since we may not be able to use the whole dataset, how should we proceed? Questions of this nature…

Machine Learning · Computer Science 2022-02-07 Sergio Filho , Eduardo Laber , Pedro Lazera , Marco Molinaro

Ordinal regression (OR) is classification of ordinal data in which the underlying categorical target variable has a natural ordinal relation for the underlying explanatory variable. For $K$-class OR tasks, threshold methods learn a…

Machine Learning · Computer Science 2024-05-22 Ryoya Yamasaki , Toshiyuki Tanaka

Cyber-physical system applications such as autonomous vehicles, wearable devices, and avionic systems generate a large volume of time-series data. Designers often look for tools to help classify and categorize the data. Traditional machine…

Order is one of the main instruments to measure the relationship between objects in (empirical) data. However, compared to methods that use numerical properties of objects, the amount of ordinal methods developed is rather small. One reason…

Artificial Intelligence · Computer Science 2023-12-29 Gerd Stumme , Dominik Dürrschnabel , Tom Hanika

Connectionist temporal classification (CTC) is a powerful approach for sequence-to-sequence learning, and has been popularly used in speech recognition. The central ideas of CTC include adding a label "blank" during training. With this…

Computation and Language · Computer Science 2017-11-17 Bo-Ru Lu , Frank Shyu , Yun-Nung Chen , Hung-Yi Lee , Lin-shan Lee

Sequence classification is the task of predicting a class label given a sequence of observations. In many applications such as healthcare monitoring or intrusion detection, early classification is crucial to prompt intervention. In this…

Machine Learning · Computer Science 2020-10-07 Maayan Shvo , Andrew C. Li , Rodrigo Toro Icarte , Sheila A. McIlraith

Early classification of time series has been extensively studied for minimizing class prediction delay in time-sensitive applications such as healthcare and finance. A primary task of an early classification approach is to classify an…

Machine Learning · Computer Science 2020-10-19 Ashish Gupta , Hari Prabhat Gupta , Bhaskar Biswas , Tanima Dutta

We propose a continuous neural network architecture, termed Explainable Tensorized Neural Ordinary Differential Equations (ETN-ODE), for multi-step time series prediction at arbitrary time points. Unlike the existing approaches, which…

Machine Learning · Computer Science 2022-07-13 Penglei Gao , Xi Yang , Rui Zhang , Kaizhu Huang

Accurate sequence-to-sequence (seq2seq) alignment is critical for applications like medical speech analysis and language learning tools relying on automatic speech recognition (ASR). State-of-the-art end-to-end (E2E) ASR systems, such as…

Machine Learning · Computer Science 2025-11-24 Yacouba Kaloga , Shashi Kumar , Petr Motlicek , Ina Kodrasi
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