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In this paper we study the existence of solutions to an isotropic differential inclusion.

Analysis of PDEs · Mathematics 2011-04-01 Ana Cristina Barroso , Gisella Croce , Ana Ribeiro

This is a technical report, containing all the theorem proofs and additional evaluations in paper "Efficient Identification of Additive Link Metrics via Network Tomography" by Liang Ma, Ting He, Kin K. Leung, Don Towsley, and Ananthram…

Networking and Internet Architecture · Computer Science 2020-12-23 Liang Ma , Ting He , Kin K. Leung , Don Towsley , Ananthram Swami

These are yet another lecture notes on Seiberg-Witten invariants, where no claim of originality is made, they contain a discussion of some related results from the recent literature.

alg-geom · Mathematics 2008-02-03 Selman Akbulut

We consider the problem in Electrical Impedance Tomography (EIT) of identifying one or multiple inclusions in a background-conducting body $\Omega\subset\mathbb{R}^2$, from the knowledge of a finite number of electrostatic measurements…

Numerical Analysis · Mathematics 2025-02-07 Romina Gaburro , Patrick Healy , Shraddha Naidu , Clifford Nolan

In order to allow for an efficient and flexible scientific analysis of data from the SPI imaging spectrometer aboard INTEGRAL, I developed a set of analysis executables that are publicly available through the internet. The software is fully…

Astrophysics · Physics 2007-05-23 Jurgen Knodlseder

Strong experimental papers in electrical and computer engineering and computer science (ECE/CS), especially in systems, networking, and applied machine learning, rest on more than a single impressive number. They rest on a chain of design,…

Methodology · Statistics 2026-05-04 Bhaskar Krishnamachari

We consider adjustable robust linear complementarity problems and extend the results of Biefel et al. (2022) towards convex and compact uncertainty sets. Moreover, for the case of polyhedral uncertainty sets, we prove that computing an…

Optimization and Control · Mathematics 2023-11-02 Christian Biefel , Martin Schmidt

Representation learning is the first step in automating tasks such as research paper recommendation, classification, and retrieval. Due to the accelerating rate of research publication, together with the recognised benefits of…

Digital Libraries · Computer Science 2023-03-22 Eoghan Cunningham , Derek Greene

Maps from links in thickened surfaces to flat-virtual links help to construct invariants of links using invariants of flat-virtual links. This work is dedicated to investigation of equivalence and invariants of flat-virtual diagrams…

Geometric Topology · Mathematics 2024-10-08 D. A. Popova

In this addendum note we fill in the gap left in \cite{ls} in the description of 2D homogeneous solutions to the stationary Euler system with the help of the results of \cite{sd}. This gives a complete classification of all solutions. The…

Analysis of PDEs · Mathematics 2016-08-02 Xue Luo , Roman Shvydkoy

This paper presents an infinite variational autoencoder (VAE) whose capacity adapts to suit the input data. This is achieved using a mixture model where the mixing coefficients are modeled by a Dirichlet process, allowing us to integrate…

Machine Learning · Computer Science 2016-11-28 Ehsan Abbasnejad , Anthony Dick , Anton van den Hengel

Given a strictly positive measure, we characterize inner semicontinuous solid convex-valued mappings for which continuous functions which are selections almost everywhere are selections. This class contains continuous mappings as well as…

Optimization and Control · Mathematics 2013-08-23 Ari-Pekka Perkkiö

This paper is part of series on self-contained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is exposed. Each paper of the series may be taken as review…

Probability · Mathematics 2021-08-24 Aladji Babacar Niang , Gane Samb Lo , Moumouni Diallo

In this short survey article we collect the current state of the art in the nascent field of \textit{quantum enhancements}, a type of knot invariant defined by collecting values of quantum invariants of knots with colorings by various…

Geometric Topology · Mathematics 2026-02-19 Sam Nelson

We report on results about a study of algebraic graph invariants, based on computer exploration, and motivated by graph-isomorphism and reconstruction problems.

Combinatorics · Mathematics 2008-12-17 Pouzet Maurice , Nicolas M. Thiéry

We prove a version of adelic descent for continuous localizing invariants.

Algebraic Geometry · Mathematics 2025-08-26 Grigorii Konovalov

We introduce the notion of porous invariants for multipath (or branching/nondeterministic) affine loops over the integers; these invariants are not necessarily convex, and can in fact contain infinitely many 'holes'. Nevertheless, we show…

Logic in Computer Science · Computer Science 2021-06-02 Engel Lefaucheux , Joël Ouaknine , David Purser , James Worrell

We propose to learn model invariances as a means of interpreting a model. This is motivated by a reverse engineering principle. If we understand a problem, we may introduce inductive biases in our model in the form of invariances.…

Machine Learning · Computer Science 2020-07-16 An-phi Nguyen , María Rodríguez Martínez

We describe differential invariants of infinite-dimensional algebras being equivalence algebras of some classes of PDE and study structure of these algebras.

Mathematical Physics · Physics 2009-10-13 Irina Yehorchenko

We correct the statements and proofs of the (auxiliary) Propositions 4.1 and 4.2 of our paper `Evaluation of motivic functions, non-nullity, and integrability in fibers' in Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29…

Algebraic Geometry · Mathematics 2026-05-11 Raf Cluckers , Immanuel Halupczok