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We introduce a theoretical approach for designing generalizations of the approximate message passing (AMP) algorithm for compressed sensing which are valid for large observation matrices that are drawn from an invariant random matrix…

Information Theory · Computer Science 2017-05-12 Burak Çakmak , Manfred Opper , Ole Winther , Bernard H. Fleury

Estimating and quantifying uncertainty in unknown system parameters from limited data remains a challenging inverse problem in a variety of real-world applications. While many approaches focus on estimating constant parameters, a subset of…

Methodology · Statistics 2023-05-09 Andrea Arnold

Transformer-based pre-trained models have achieved great improvements in semantic matching. However, existing models still suffer from insufficient ability to capture subtle differences. The modification, addition and deletion of words in…

Computation and Language · Computer Science 2023-03-15 Chao Xue , Di Liang , Sirui Wang , Wei Wu , Jing Zhang

Many real-world systems modeled using differential equations involve unknown or uncertain parameters. Standard approaches to address parameter estimation inverse problems in this setting typically focus on estimating constants; yet some…

Dynamical Systems · Mathematics 2024-03-25 Anna Fitzpatrick , Molly Folino , Andrea Arnold

Online joint estimation of unknown parameters and states in a dynamical system with uncertainty quantification is crucial in many applications. For example, digital twins dynamically update their knowledge of model parameters and states to…

Methodology · Statistics 2026-01-01 Liliang Wang , Alex Gorodetsky

Semantic composition remains an open problem for vector space models of semantics. In this paper, we explain how the probabilistic graphical model used in the framework of Functional Distributional Semantics can be interpreted as a…

Computation and Language · Computer Science 2017-09-04 Guy Emerson , Ann Copestake

Low dimensional representations of words allow accurate NLP models to be trained on limited annotated data. While most representations ignore words' local context, a natural way to induce context-dependent representations is to perform…

Machine Learning · Statistics 2015-06-02 David Belanger , Sham Kakade

In natural-language discourse, related events tend to appear near each other to describe a larger scenario. Such structures can be formalized by the notion of a frame (a.k.a. template), which comprises a set of related events and…

Computation and Language · Computer Science 2013-02-21 Jackie Chi Kit Cheung , Hoifung Poon , Lucy Vanderwende

Semantic mapping is the incremental process of "mapping" relevant information of the world (i.e., spatial information, temporal events, agents and actions) to a formal description supported by a reasoning engine. Current research focuses on…

Robotics · Computer Science 2016-06-14 Roberto Capobianco , Jacopo Serafin , Johann Dichtl , Giorgio Grisetti , Luca Iocchi , Daniele Nardi

Semantic parsing has long been a fundamental problem in natural language processing. Recently, cross-domain context-dependent semantic parsing has become a new focus of research. Central to the problem is the challenge of leveraging…

Computation and Language · Computer Science 2021-01-06 Binyuan Hui , Ruiying Geng , Qiyu Ren , Binhua Li , Yongbin Li , Jian Sun , Fei Huang , Luo Si , Pengfei Zhu , Xiaodan Zhu

We discuss model and forecast combination in time series forecasting. A foundational Bayesian perspective based on agent opinion analysis theory defines a new framework for density forecast combination, and encompasses several existing…

Methodology · Statistics 2022-06-07 Kenichiro McAlinn , Mike West

Dynamic Complexity studies the maintainability of queries with logical formulas in a setting where the underlying structure or database changes over time. Most often, these formulas are from first-order logic, giving rise to the dynamic…

Logic in Computer Science · Computer Science 2019-10-16 Jonas Schmidt , Thomas Schwentick , Nils Vortmeier , Thomas Zeume , Ioannis Kokkinis

Probabilistic Latent Semantic Analysis is a novel statistical technique for the analysis of two-mode and co-occurrence data, which has applications in information retrieval and filtering, natural language processing, machine learning from…

Machine Learning · Computer Science 2013-01-30 Thomas Hofmann

In this paper we propose a general approach to define a many-valued preferential interpretation of gradual argumentation semantics. The approach allows for conditional reasoning over arguments and boolean combination of arguments, with…

Artificial Intelligence · Computer Science 2025-06-10 Mario Alviano , Laura Giordano , Daniele Theseider Dupré

Nonlinear dynamical systems are complex and typically only simple systems can be analytically studied. In applications, these systems are usually defined with a set of tunable parameters and as the parameters are varied the system response…

Dynamical Systems · Mathematics 2025-05-05 Max M. Chumley , Firas A. Khasawneh

We consider a dynamic method, based on synchronization and adaptive control, to estimate unknown parameters of a nonlinear dynamical system from a given scalar chaotic time series. We present an important extension of the method when time…

Chaotic Dynamics · Physics 2009-10-31 Anil Maybhate , R. E. Amritkar

Various tasks encountered in real-world surveillance can be addressed by determining posteriors (e.g. by Bayesian inference or machine learning), based on which critical decisions must be taken. However, the surveillance domain (acquisition…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Sébastien Piérard , Anthony Cioppa , Anaïs Halin , Renaud Vandeghen , Maxime Zanella , Benoît Macq , Saïd Mahmoudi , Marc Van Droogenbroeck

We present a probabilistic language model for time-stamped text data which tracks the semantic evolution of individual words over time. The model represents words and contexts by latent trajectories in an embedding space. At each moment in…

Machine Learning · Statistics 2017-07-19 Robert Bamler , Stephan Mandt

We introduce a novel generative formulation of deep probabilistic models implementing "soft" constraints on their function dynamics. In particular, we develop a flexible methodological framework where the modeled functions and derivatives…

Machine Learning · Statistics 2018-06-19 Marco Lorenzi , Maurizio Filippone

Modeling an unknown dynamical system is crucial in order to predict the future behavior of the system. A standard approach is training recurrent models on measurement data. While these models typically provide exact short-term predictions,…

Machine Learning · Computer Science 2023-03-02 Katharina Ensinger , Sebastian Ziesche , Barbara Rakitsch , Michael Tiemann , Sebastian Trimpe