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Lecture notes (in French) of a master 2 level course in applied mathematics. Contents: Part I. Markov chains on a countable space. 1. Examples 2. Summary of basic properties. 3. Spectral theory and speed of convergence. 4. Lyapunov…

History and Overview · Mathematics 2024-12-11 Nils Berglund

In federated learning, Transformer, as a popular architecture, faces critical challenges in defending against gradient attacks and improving model performance in both Computer Vision (CV) and Natural Language Processing (NLP) tasks. It has…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Weixin Ye , Wei Wang , Yahui Liu , Yue Song , Bin Ren , Wei Bi , Rita Cucchiara , Nicu Sebe

Over the long history of machine learning, which dates back several decades, recurrent neural networks (RNNs) have been used mainly for sequential data and time series and generally with 1D information. Even in some rare studies on 2D…

Computer Vision and Pattern Recognition · Computer Science 2021-03-05 Nguyen Huu Phong , Bernardete Ribeiro

We introduce an extensive qualitative spatial and temporal reasoning (QSTR) benchmark for evaluating large language models (LLMs). We pose questions concerning compositional reasoning (using composition tables, CT), converse relations, and…

Artificial Intelligence · Computer Science 2026-05-19 Anthony G. Cohn , Robert E. Blackwell

This paper concerns the recurrence structure of the infinite server queue, as viewed through the prism of the maximum dater sequence, namely the time to drain the current work in the system as seen at arrival epochs. Despite the importance…

Probability · Mathematics 2026-01-12 Sergey Foss , Peter Glynn

Motivated by applications to the Langlands program, Aubert-Moussaoui-Solleveld extended Lusztig's generalized Springer correspondence to disconnected reductive groups. We use stacks to give a more geometric account of their theory, in…

Representation Theory · Mathematics 2024-06-11 Peter Dillery , David Schwein

We have organized Workshop III entitled "Cited References Analysis Using CRExplorer" at ISSI2021. Here, we report and reflect on this workshop. The aim of this workshop was to bring beginners, practitioners, and experts in cited references…

Digital Libraries · Computer Science 2021-08-26 Robin Haunschild , Lutz Bornmann

Substring kernels are classical tools for representing biological sequences or text. However, when large amounts of annotated data are available, models that allow end-to-end training such as neural networks are often preferred. Links…

Machine Learning · Statistics 2019-10-18 Dexiong Chen , Laurent Jacob , Julien Mairal

The matrix Whittaker kernel has been introduced by A. Borodin in Part IV of the present series of papers. This kernel describes a point process -- a probability measure on a space of countable point configurations. The kernel is expressed…

Representation Theory · Mathematics 2007-05-23 Grigori Olshanski

This paper is intended to be a further step through our Killing spinor programme started with Class. Quantum Grav. \textbf{32}, 175007 (2015), and we will advance our programme in accordance with the road map recently given in…

Mathematical Physics · Physics 2017-01-20 Özgür Açık

In this paper we study the additive functionals of Markov chains via conditioning with respect to both past and future of the chain. We shall point out new sufficient projective conditions, which assure that the variance of partial sums of…

Probability · Mathematics 2020-05-19 Magda Peligrad

Network models are increasingly vital in psychometrics for analyzing relational data, which are often accompanied by high-dimensional node attributes. Joint latent space models (JLSM) provide an elegant framework for integrating these data…

Methodology · Statistics 2025-09-24 Bin Lv , Yincai Tang , Siliang Zhang

Most network embedding algorithms consist in measuring co-occurrences of nodes via random walks then learning the embeddings using Skip-Gram with Negative Sampling. While it has proven to be a relevant choice, there are alternatives, such…

Computation and Language · Computer Science 2019-03-01 Robin Brochier , Adrien Guille , Julien Velcin

This is the first in a series of papers in which we describe explicit structural properties of spaces of diagonal rectangular harmonic polynomials in $k$ sets of $n$ variables, both as $GL_k$-modules and $S_n$-modules, as well as some of…

Combinatorics · Mathematics 2020-03-18 François Bergeron

Modern MRI schemes, which rely on compressed sensing or deep learning algorithms to recover MRI data from undersampled multichannel Fourier measurements, are widely used to reduce scan time. The image quality of these approaches is heavily…

Image and Video Processing · Electrical Eng. & Systems 2020-07-06 Hemant Kumar Aggarwal , Mathews Jacob

The Distributed Cooperative Modeling System (DCMS) solves complex decision problems involving a lot of participants with different viewpoints by network based distributed modeling and multi-template aggregation. This thesis aims at…

Artificial Intelligence · Computer Science 2014-03-04 Menghan Wang

The task of end-to-end relation extraction consists of two sub-tasks: i) identifying entity mentions along with their types and ii) recognizing semantic relations among the entity mention pairs. %Identifying entity mentions along with their…

Artificial Intelligence · Computer Science 2017-12-05 Sachin Pawar , Pushpak Bhattacharya , Girish K. Palshikar

User representation learning is vital to capture diverse user preferences, while it is also challenging as user intents are latent and scattered among complex and different modalities of user-generated data, thus, not directly measurable.…

Social and Information Networks · Computer Science 2019-12-03 Lin Gong , Lu Lin , Weihao Song , Hongning Wang

Reversible interactions model different scenarios, like biochemical systems and human as well as automatic negotiations. We abstract interactions via multiparty sessions enriched with named checkpoints. Computations can either go forward or…

Logic in Computer Science · Computer Science 2016-08-11 Mariangiola Dezani-Ciancaglini , Paola Giannini

This paper deals with distributed optimization problems that use compressed communication to achieve efficient performance and mitigate communication bottleneck. We propose a family of compression schemes in which operators transform…

Optimization and Control · Mathematics 2026-01-13 Andrey Veprikov , Vladimir Solodkin , Mikhail Rudakov , Petr Babkin , Aleksandr Beznosikov
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