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Stochastic embedding transitions introduce a probabilistic mechanism for adjusting token representations dynamically during inference, mitigating the constraints imposed through static or deterministic embeddings. A transition framework was…

Computation and Language · Computer Science 2025-08-11 Stefan Whitaker , Colin Sisate , Marcel Windsor , Nikolai Fairweather , Tarquin Goldborough , Oskar Lindenfeld

We study the existence, uniqueness and approximation of solutions of stochastic differential equations with constraints driven by processes with bounded p-variation. Our main tool are new estimates showing Lipschitz continuity of the…

Probability · Mathematics 2015-05-07 Adrian Falkowski , Leszek Slominski

This paper addresses the problem of basis correction in the context of LSS identification from input-output data. It is often the case that identification algorithms for the LSSs from input-output data operate locally. The individually…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Fethi Bencherki , Semiha Türkay , Hüseyin Akçay

We introduce probabilistic embeddings using Laplacian priors (PELP). The proposed model enables incorporating graph side-information into static word embeddings. We theoretically show that the model unifies several previously proposed…

Computation and Language · Computer Science 2022-04-06 Väinö Yrjänäinen , Måns Magnusson

The job sequencing and tool switching problem (SSP) has been extensively studied in the field of operations research, due to its practical relevance and methodological interest. Given a machine that can load a limited amount of tools…

Neural and Evolutionary Computing · Computer Science 2019-10-23 Jordana Mecler , Anand Subramanian , Thibaut Vidal

State-space models (SSM) with Markov switching offer a powerful framework for detecting multiple regimes in time series, analyzing mutual dependence and dynamics within regimes, and asserting transitions between regimes. These models…

Methodology · Statistics 2021-06-14 David Degras , Chee-Ming Ting , Hernando Ombao

Domain theory has a long history of applications in theoretical computer science and mathematics. In this article, we explore the relation of domain theory to probability theory and stochastic processes. The goal is to establish a theory in…

Logic · Mathematics 2020-02-06 Michael Mislove

We consider parabolic PDEs with randomly switching boundary conditions. In order to analyze these random PDEs, we consider more general stochastic hybrid systems and prove convergence to, and properties of, a stationary distribution.…

Probability · Mathematics 2020-03-13 Sean D. Lawley , Jonathan C. Mattingly , Michael C. Reed

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

This chapter reviews the microeconometrics literature on partial identification, focusing on the developments of the last thirty years. The topics presented illustrate that the available data combined with credible maintained assumptions…

Econometrics · Economics 2020-04-27 Francesca Molinari

We study whether a modified version of Tikhonov regularization can be used to identify several local sources from Dirichlet boundary data for a prototypical elliptic PDE. This paper extends the results presented in [5]. It turns out that…

Optimization and Control · Mathematics 2020-11-10 Ole Løseth Elvetun , Bjørn Fredrik Nielsen

In this invited contribution, we revisit the stochastic shortest path problem, and show how recent results allow one to improve over the classical solutions: we present algorithms to synthesize strategies with multiple guarantees on the…

Logic in Computer Science · Computer Science 2014-11-05 Mickael Randour , Jean-François Raskin , Ocan Sankur

We study mixed identities for oligomorphic automorphism groups of countable relational structures. Our main result gives sufficient conditions for such a group to not admit a mixed identity without particular constants. We study numerous…

Group Theory · Mathematics 2025-08-20 Manuel Bodirsky , Jakob Schneider , Andreas Thom

Relation extraction is essentially a text classification problem, which can be tackled by fine-tuning a pre-trained language model (LM). However, a key challenge arises from the fact that relation extraction cannot straightforwardly be…

Computation and Language · Computer Science 2024-10-03 Frank Mtumbuka , Steven Schockaert

This paper is concerned with optimal switching over multiple modes in continuous time and on a finite horizon. The performance index includes a running reward, terminal reward and switching costs that can belong to a large class of…

Optimization and Control · Mathematics 2016-10-17 Randall Martyr

We consider an optimal switching problem with random lag and possibility of component failure. The random lag is modeled by letting the operation mode follow a regime switching Markov-model with transition intensities that depend on the…

Optimization and Control · Mathematics 2019-08-22 Magnus Perninge

In this paper, we study the solvability of a class of multi-dimensional forward backward stochastic differential equations (FBSDEs) with oblique reflection and unbounded stopping time. Under some mild assumptions on the coefficients in such…

Probability · Mathematics 2012-07-03 Soufiane Aazizi , Imade Fakhouri

We consider the problem of identification and authentication based on secret key generation from some user-generated source data (e.g., a biometric source). The goal is to reliably identify users pre-enrolled in a database as well as…

Information Theory · Computer Science 2015-08-07 Kittipong Kittichokechai , Giuseppe Caire

Recently, Saeb et al (2017) showed that, in diagnostic machine learning applications, having data of each subject randomly assigned to both training and test sets (record-wise data split) can lead to massive underestimation of the…

Topological models of empirical and formal inquiry are increasingly prevalent. They have emerged in such diverse fields as domain theory [1, 16], formal learning theory [18], epistemology and philosophy of science [10, 15, 8, 9, 2],…

Machine Learning · Computer Science 2017-08-01 Konstantin Genin , Kevin T. Kelly
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