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We introduce an algorithm for the segmentation of a class of regime switching processes. The segmentation algorithm is a non parametric statistical method able to identify the regimes (patches) of the time series. The process is composed of…

Data Analysis, Statistics and Probability · Physics 2015-05-18 Bence Toth , Fabrizio Lillo , J. Doyne Farmer

Cryptocurrencies are digital tokens built on blockchain technology, with thousands actively traded on centralized exchanges (CEXs). Unlike stocks, which are backed by real businesses, cryptocurrencies are recognized as a distinct class of…

Statistical Finance · Quantitative Finance 2025-04-18 Yu Zhang , Zelin Wu , Claudio Tessone

Statistical significance of network clustering has been an unresolved problem since it was observed that community detection algorithms produce false positives even in random graphs. After a phase transition between undetectable and…

Social and Information Networks · Computer Science 2016-05-03 Jeremi K. Ochab

Mixture model-based clustering, usually applied to multidimensional data, has become a popular approach in many data analysis problems, both for its good statistical properties and for the simplicity of implementation of the…

Methodology · Statistics 2013-12-30 Allou Samé , Faicel Chamroukhi , Gérard Govaert , Patrice Aknin

High-frequency quantitative trading strategies have long been of significant interest in futures market. While advanced statistical arbitrage and deep learning enhance high-frequency data processing, they diminish opportunities for…

General Economics · Economics 2025-10-17 Zihao Guo , Hanqing Jin , Jiaqi Kuang , Zhongmin Qian , Jinghan Wang

The presence of smart objects is increasingly widespread and their ecosystem, also known as Internet of Things, is relevant in many different application scenarios. The huge amount of temporally annotated data produced by these smart…

Databases · Computer Science 2022-09-21 Giacomo Chiarot , Claudio Silvestri

We present a novel framework for kernel learning with sequential data of any kind, such as time series, sequences of graphs, or strings. Our approach is based on signature features which can be seen as an ordered variant of sample…

Machine Learning · Statistics 2016-02-01 Franz J Király , Harald Oberhauser

Decision markets are mechanisms for selecting one among a set of actions based on forecasts about their consequences. Decision markets that are based on scoring rules have been proven to offer incentive compatibility analogous to properly…

Computer Science and Game Theory · Computer Science 2021-11-16 Wenlong Wang , Thomas Pfeiffer

Discrete signatures are invariants computed from time series corresponding to the discretised version of the signature of paths. We study the algebraic varieties arising from their images, the discrete signature varieties. We introduce them…

Combinatorics · Mathematics 2025-11-13 Carlo Bellingeri , Raul Penaguiao

In this article we introduce a portfolio optimisation framework, in which the use of rough path signatures (Lyons, 1998) provides a novel method of incorporating path-dependencies in the joint signal-asset dynamics, naturally extending…

Portfolio Management · Quantitative Finance 2023-08-31 Owen Futter , Blanka Horvath , Magnus Wiese

Classification of time series is a growing problem in different disciplines due to the progressive digitalization of the world. Currently, the state-of-the-art in time series classification is dominated by The Hierarchical Vote Collective…

Machine Learning · Computer Science 2021-10-18 Francisco J. Baldán , José M. Benítez

Time series analysis is a field of data science which is interested in analyzing sequences of numerical values ordered in time. Time series are particularly interesting because they allow us to visualize and understand the evolution of a…

Machine Learning · Computer Science 2020-10-02 Hassan Ismail Fawaz

Distinguishing between classes of time series sampled from dynamic systems is a common challenge in systems and control engineering, for example in the context of health monitoring, fault detection, and quality control. The challenge is…

Machine Learning · Computer Science 2019-02-15 Colin Stephen

We present a quantum algorithm for data classification based on the nearest-neighbor learning algorithm. The classification algorithm is divided into two steps: Firstly, data in the same class is divided into smaller groups with sublabels…

Quantum Physics · Physics 2021-06-15 Junxu Li , Sabre Kais

Many methods have been proposed to detect communities, not only in plain, but also in attributed, directed or even dynamic complex networks. In its simplest form, a community structure takes the form of a partition of the node set. From the…

Social and Information Networks · Computer Science 2014-10-22 Günce Keziban Orman , Vincent Labatut , Marc Plantevit , Jean-François Boulicaut

Discrete-value time series are sequences of measurements where each measurement is a discrete (categorical or integer) value. These time series are widely used in various fields, and their classification and clustering are essential for…

Discrete Mathematics · Computer Science 2023-11-28 Artyom Gevorgyan , Albert Gevorgyan

Market regimes is a popular topic in quantitative finance even though there is little consensus on the details of how they should be defined. They arise as a feature both in financial market prediction problems and financial market task…

Multiagent Systems · Computer Science 2022-02-04 Selim Amrouni , Aymeric Moulin , Tucker Balch

Several experimental studies claim to be able to predict the outcome of simple decisions from brain signals measured before subjects are aware of their decision. Often, these studies use multivariate pattern recognition methods with the…

Neurons and Cognition · Quantitative Biology 2016-06-21 Marco Rusconi , Angelo Valleriani

Monitoring of a signal plays an essential role in the runtime verification of cyber-physical systems. Qualitative timed pattern matching is one of the mathematical formulations of monitoring, which gives a Boolean verdict for each…

Formal Languages and Automata Theory · Computer Science 2019-07-01 Masaki Waga

We investigate sets of financial non-redundant and nonsynchronously recorded time series. The sets are composed by a number of stock market indices located all over the world in five continents. By properly selecting the time horizon of…

Statistical Mechanics · Physics 2009-10-31 Giovanni Bonanno , Nicolas Vandewalle , Rosario N. Mantegna