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This study investigates the use of fractional order differential models to simulate the dynamic response of non-homogeneous discrete systems and to achieve efficient and accurate model order reduction. The traditional integer order approach…

Numerical Analysis · Mathematics 2016-12-22 John P. Hollkamp , Mihir Sen , Fabio Semperlotti

State-of-the-art language models are autoregressive and operate on subword units known as tokens. Specifically, one must encode the conditioning string into a list of tokens before passing to the language models for next-token prediction.…

Computation and Language · Computer Science 2024-07-09 Buu Phan , Marton Havasi , Matthew Muckley , Karen Ullrich

The problem of merging databases arises in many government and commercial applications. Schema matching, a common first step, identifies equivalent fields between databases. We introduce a schema matching framework that builds nonparametric…

Information Retrieval · Computer Science 2015-07-07 Erik M. Ferragut , Jason Laska

Discovering pattern sets or global patterns is an attractive issue from the pattern mining community in order to provide useful information. By combining local patterns satisfying a joint meaning, this approach produces patterns of higher…

Machine Learning · Computer Science 2011-07-19 Patrice Boizumault , Bruno Crémilleux , Mehdi Khiari , Samir Loudni , Jean-Philippe Métivier

Ordinal data is widely prevalent in clinical and other domains, yet there is a lack of both modern, machine-learning based methods and publicly available software to address it. In this paper, we present a model-agnostic method of ordinal…

Machine Learning · Computer Science 2026-03-19 Noam H. Rotenberg , Andreia V. Faria , Brian Caffo

Recent alignment techniques, such as reinforcement learning from human feedback, have been widely adopted to align large language models with human preferences by learning and leveraging reward models. In practice, these models often…

Machine Learning · Computer Science 2025-10-29 Ignavier Ng , Patrick Blöbaum , Siddharth Bhandari , Kun Zhang , Shiva Kasiviswanathan

Recognizing lexical semantic relations between word pairs is an important task for many applications of natural language processing. One of the mainstream approaches to this task is to exploit the lexico-syntactic paths connecting two…

Computation and Language · Computer Science 2018-09-11 Koki Washio , Tsuneaki Kato

The problem of inferring the direct causal parents of a response variable among a large set of explanatory variables is of high practical importance in many disciplines. However, established approaches often scale at least exponentially…

Machine Learning · Statistics 2022-09-20 Ashkan Soleymani , Anant Raj , Stefan Bauer , Bernhard Schölkopf , Michel Besserve

In this work we consider the task of relaxing the i.i.d assumption in pattern recognition (or classification), aiming to make existing learning algorithms applicable to a wider range of tasks. Pattern recognition is guessing a discrete…

Machine Learning · Computer Science 2012-02-28 Daniil Ryabko

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

Biological systems are often modelled at different levels of abstraction depending on the particular aims/resources of a study. Such different models often provide qualitatively concordant predictions over specific parametrisations, but it…

Machine Learning · Statistics 2016-05-10 Giulio Caravagna , Luca Bortolussi , Guido Sanguinetti

The big data trend has inspired feature-driven learning tasks, which cannot be handled by conventional machine learning models. Unstructured data produces very large binary matrices with millions of columns when converted to vector form.…

Machine Learning · Computer Science 2019-12-19 Anton Akusok , Emil Eirola

In recent years, a myriad of advanced results have been reported in the community of imitation learning, ranging from parametric to non-parametric, probabilistic to non-probabilistic and Bayesian to frequentist approaches. Meanwhile, ample…

Machine Learning · Computer Science 2019-09-18 Yanlong Huang , Darwin G. Caldwell

The recent proliferation of richly structured probabilistic models raises the question of how to automatically determine an appropriate model for a dataset. We investigate this question for a space of matrix decomposition models which can…

Machine Learning · Computer Science 2012-10-19 Roger Grosse , Ruslan R Salakhutdinov , William T. Freeman , Joshua B. Tenenbaum

This paper deals with the binary classification task when the target class has the lower probability of occurrence. In such situation, it is not possible to build a powerful classifier by using standard methods such as logistic regression,…

Machine Learning · Statistics 2015-02-26 Cheikh Ndour , Aliou Diop , Simplice Dossou-Gbété

Paired comparison data, where users evaluate items in pairs, play a central role in ranking and preference learning tasks. While ordinal comparison data intuitively offer richer information than binary comparisons, this paper challenges…

Machine Learning · Statistics 2026-01-13 Shirong Xu , Jingnan Zhang , Junhui Wang

In this paper we develop a method for learning nonlinear systems with multiple outputs and inputs. We begin by modelling the errors of a nominal predictor of the system using a latent variable framework. Then using the maximum likelihood…

Machine Learning · Statistics 2018-05-28 Per Mattsson , Dave Zachariah , Petre Stoica

This paper presents a new type analysis for logic programs. The analysis is performed with a priori type definitions; and type expressions are formed from a fixed alphabet of type constructors. Non-discriminative union is used to join type…

Programming Languages · Computer Science 2010-12-16 Lunjin Lu

Unravelling hidden patterns in datasets is a classical problem with many potential applications. In this paper, we present a challenge whose objective is to discover nonlinear relationships in noisy cloud of points. If a set of point…

Machine Learning · Statistics 2018-05-31 Terry Lyons , Imanol Perez Arribas

As a fundamental problem in pattern recognition, graph matching has applications in a variety of fields, from computer vision to computational biology. In graph matching, patterns are modeled as graphs and pattern recognition amounts to…

Computer Vision and Pattern Recognition · Computer Science 2008-06-19 Tiberio S. Caetano , Julian J. McAuley , Li Cheng , Quoc V. Le , Alex J. Smola