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In many situations, the choice of an adequate similarity measure or metric on the feature space dramatically determines the performance of machine learning methods. Building automatically such measures is the specific purpose of…

Machine Learning · Statistics 2020-02-24 Stéphan Clémençon , Robin Vogel

Multi-variate time series forecasting is an important problem with a wide range of applications. Recent works model the relations between time-series as graphs and have shown that propagating information over the relation graph can improve…

Machine Learning · Computer Science 2024-07-04 Harshavardhan Kamarthi , Lingkai Kong , Alexander Rodriguez , Chao Zhang , B Aditya Prakash

Forman-Ricci curvature (FRC) is a potent and powerful tool for analysing empirical networks, as the distribution of the curvature values can identify structural information that is not readily detected by other geometrical methods.…

Data Analysis, Statistics and Probability · Physics 2024-05-13 Danillo Barros de Souza , Jonatas T. S. da Cunha , Fernando A. N. Santos , Jürgen Jost , Serafim Rodrigues

Leachates from garbage dumps can significantly compromise their surrounding area. Even if the distance between these and the populated areas could be considerable, the risk of affecting the aquifers for public use is imminent in most cases.…

Geophysics · Physics 2023-09-19 Camila Juliao , Johan Diaz , Yosmely BermÚdez , Milagrosa Aldana

Tribocorrosion maps serve the purpose of identifying operating conditions for acceptable rate of degradation. This paper proposes a machine learning based approach to generate tribocorrosion maps, which can be used to predict tribosystem…

Applied Physics · Physics 2020-06-15 Rahul Ramachandran

We introduce a multiple curve framework that combines tractable dynamics and semi-analytic pricing formulas with positive interest rates and basis spreads. Negatives rates and positive spreads can also be accommodated in this framework. The…

Mathematical Finance · Quantitative Finance 2015-12-07 Zorana Grbac , Antonis Papapantoleon , John Schoenmakers , David Skovmand

Let $\mathcal C$ be a real plane algebraic curve defined by the resultant of two polynomials (resp. by the discriminant of a polynomial). Geometrically such a curve is the projection of the intersection of the surfaces $P(x,y,z)=Q(x,y,z)=0$…

Computational Geometry · Computer Science 2015-05-26 Rémi Imbach , Guillaume Moroz , Marc Pouget

Automatic marbles classification based on their visual appearance is an important industrial issue. However, there is no definitive solution to the problem mainly due to the presence of randomly distributed high number of different colours…

Artificial Intelligence · Computer Science 2007-05-23 J. R. Caldas-Pinto , Pedro Pina , Vitorino Ramos , Mario Ramalho

Decision trees with binary splits are popularly constructed using Classification and Regression Trees (CART) methodology. For regression models, this approach recursively divides the data into two near-homogenous daughter nodes according to…

Machine Learning · Statistics 2020-11-20 Jason M. Klusowski

We classify graphs and, more generally, finite relational structures that are identified by C2, that is, two-variable first-order logic with counting. Using this classification, we show that it can be decided in almost linear time whether a…

Logic in Computer Science · Computer Science 2015-03-31 Sandra Kiefer , Pascal Schweitzer , Erkal Selman

This paper exhibits a series of semantic characterisations of sublinear nondeterministic complexity classes. These results fall into the general domain of logic-based approaches to complexity theory and so-called implicit computational…

Logic in Computer Science · Computer Science 2016-09-27 Thomas Seiller

Social norms are stable behavioral patterns that emerge endogenously within economic systems through repeated interactions among agents. In online market economies, such norms -- like fair exposure, sustained participation, and balanced…

Machine Learning · Computer Science 2026-03-06 Xiangning Yu , Qirui Mi , Xiao Xue , Haoxuan Li , Yiwei Shi , Xiaowei Liu , Mengyue Yang

Models of complex networks are generally defined as graph stochastic processes in which edges and vertices are added or deleted over time to simulate the evolution of networks. Here, we define a unifying framework - probabilistic inductive…

Dynamical Systems · Mathematics 2010-11-10 Nataša Kejžar , Zoran Nikoloski , Vladimir Batagelj

A large class of trading strategies focus on opportunities offered by the yield curve. In particular, a set of yield curve trading strategies are based on the view that the yield curve mean-reverts. Based on these strategies' positive…

Trading and Market Microstructure · Quantitative Finance 2017-05-24 Yash Sharma

Machine Learning (ML) algorithms shape our lives. Banks use them to determine if we are good borrowers; IT companies delegate them recruitment decisions; police apply ML for crime-prediction, and judges base their verdicts on ML. However,…

Computer Science and Game Theory · Computer Science 2021-01-05 Omer Ben-Porat , Fedor Sandomirskiy , Moshe Tennenholtz

We present a HJM approach to the projection of multiple yield curves developed to capture the volatility content of historical term structures for risk management purposes. Since we observe the empirical data at daily frequency and only for…

Risk Management · Quantitative Finance 2015-10-09 Chiara Sabelli , Michele Pioppi , Luca Sitzia , Giacomo Bormetti

One of the common obstacles for learning causal models from data is that high-order conditional independence (CI) relationships between random variables are difficult to estimate. Since CI tests with conditioning sets of low order can be…

Machine Learning · Computer Science 2020-10-07 Marcel Wienöbst , Maciej Liśkiewicz

In this paper, we investigate the row-factorization matrices of Arf numerical semigroups, and we provide the full list of such matrices of certain Arf numerical semigroups. We use the information of row-factorization matrices to detect the…

Commutative Algebra · Mathematics 2025-04-11 Meral Süer , Mehmet Yeşil

The group PGL(3) of linear transformations of the projective plane acts naturally on the projective space parametrizing curves of a given degree. In this note we begin the study of the orbits of smooth curves under this action: we construct…

alg-geom · Mathematics 2012-04-10 Paolo Aluffi , Carel Faber

This article introduces the R package csranks for estimation and inference involving ranks. First, we review methods for the construction of confidence sets for ranks, namely marginal and simultaneous confidence sets as well as confidence…

Econometrics · Economics 2024-01-30 Denis Chetverikov , Magne Mogstad , Pawel Morgen , Joseph Romano , Azeem Shaikh , Daniel Wilhelm