BOSCH PÉREZ, PAUL JESÚS
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BOSCH PÉREZ, PAUL JESÚS
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pbosch@udd.cl
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8630247500

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2024 2024 2023 2023 2022 2022 2021 2021 2020 2020 2019 2019 2018 2018 2017 2017 0.0 0.0 1.0 1.0 2.0 2.0 3.0 3.0 4.0 4.0 5.0 5.0

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On a generalization of the Opial inequality

2024 , BOSCH PÉREZ, PAUL JESÚS , Ana Portilla , Jose M. Rodriguez , Jose M. Sigarreta

Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems. In this work, some new Opial-type inequalities are given and applied to generalized Riemann-Liouville-type integral operators.

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On Ostrowski Type Inequalities for Generalized Integral Operators

2022 , Martha Paola Cruz , Ricardo Abreu-Blaya , BOSCH PÉREZ, PAUL JESÚS , José M. Rodríguez , José M. Sigarreta , Xiaolong Qin

It is well known that mathematical inequalities have played a very important role in solving both theoretical and practical problems. In this paper, we show some new results related to Ostrowski type inequalities for generalized integral operators.

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Feasibility and cost minimisation for a lithium extraction problem

2020 , BOSCH PÉREZ, PAUL JESÚS , J.P. Contreras , J. Munizaga-Rosas

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Accelerating Medicines Partnership® Schizophrenia (AMP® SCZ): Rationale and Study Design of the Largest Global Prospective Cohort Study of Clinical High Risk for Psychosis

2024 , Cassandra M J Wannan , Barnaby Nelson , Jean Addington , Kelly Allott , Alan Anticevic , Celso Arango , Justin T Baker , Carrie E Bearden , Tashrif Billah , Sylvain Bouix , Matthew R Broome , Kate Buccilli , Kristin S Cadenhead , Monica E Calkins , Tyrone D Cannon , Guillermo Cecci , Eric Yu Hai Chen , Kang Ik K Cho , Jimmy Choi , Scott R Clark , Michael J Coleman , Philippe Conus , Cheryl M Corcoran , Barbara A Cornblatt , Covadonga M Diaz-Caneja , Dominic Dwyer , Bjørn H Ebdrup , Lauren M Ellman , Paolo Fusar-Poli , Liliana Galindo , Pablo A Gaspar , Carla Gerber , Louise Birkedal Glenthøj , Robert Glynn , Michael P Harms , Leslie E Horton , René S Kahn , Joseph Kambeitz , Lana Kambeitz-Ilankovic , John M Kane , Tina Kapur , Matcheri S Keshavan , Sung-Wan Kim , Nikolaos Koutsouleris , Marek Kubicki , Jun Soo Kwon , Kerstin Langbein , Kathryn E Lewandowski , Gregory A Light , Daniel Mamah , Patricia J Marcy , Daniel H Mathalon , Patrick D McGorry , Vijay A Mittal , Merete Nordentoft , Angela Nunez , Ofer Pasternak , Godfrey D Pearlson , Jesus Perez , Diana O Perkins , Albert R Powers , David R Roalf , Fred W Sabb , Jason Schiffman , Jai L Shah , Stefan Smesny , Jessica Spark , William S Stone , Gregory P Strauss , Zailyn Tamayo , John Torous , Rachel Upthegrove , Mark Vangel , Swapna Verma , Jijun Wang , Inge Winter-van Rossum , Daniel H Wolf , Phillip Wolff , Stephen J Wood , Alison R Yung , Carla Agurto , Mario Alvarez-Jimenez , Paul Amminger , Marco Armando , Ameneh Asgari-Targhi , John Cahill , Ricardo E Carrión , Eduardo Castro , Suheyla Cetin-Karayumak , M Mallar Chakravarty , Youngsun T Cho , David Cotter , Simon D’Alfonso , Michaela Ennis , Shreyas Fadnavis , Clara Fonteneau , Caroline Gao , Tina Gupta , Raquel E Gur , Ruben C Gur , Holly K Hamilton , Gil D Hoftman , Grace R Jacobs , Johanna Jarcho , Jie Lisa Ji , Christian G Kohler , Paris Alexandros Lalousis , Suzie Lavoie , Martin Lepage , Einat Liebenthal , Josh Mervis , Vishnu Murty , Spero C Nicholas , Lipeng Ning , Nora Penzel , Russell Poldrack , Pablo Polosecki , Danielle N Pratt , Rachel Rabin , Habiballah Rahimi Eichi , Yogesh Rathi , Avraham Reichenberg , Jenna Reinen , Jack Rogers , Bernalyn Ruiz-Yu , Isabelle Scott , Johanna Seitz-Holland , Vinod H Srihari , Agrima Srivastava , Andrew Thompson , Bruce I Turetsky , Barbara C Walsh , Thomas Whitford , Johanna T W Wigman , Beier Yao , Hok Pan Yuen , Uzair Ahmed , Andrew (Jin Soo) Byun , Yoonho Chung , Kim Do , Larry Hendricks , Kevin Huynh , Clark Jeffries , Erlend Lane , Carsten Langholm , Eric Lin , Valentina Mantua , Gennarina Santorelli , Kosha Ruparel , Eirini Zoupou , Tatiana Adasme , Lauren Addamo , Laura Adery , Munaza Ali , Andrea Auther , Samantha Aversa , Seon-Hwa Baek , Kelly Bates , Alyssa Bathery , Johanna M M Bayer , Rebecca Beedham , Zarina Bilgrami , Sonia Birch , Ilaria Bonoldi , Owen Borders , Renato Borgatti , Lisa Brown , Alejandro Bruna , Holly Carrington , Rolando I Castillo-Passi , Justine Chen , Nicholas Cheng , Ann Ee Ching , Chloe Clifford , Beau-Luke Colton , Pamela Contreras , Sebastián Corral , Stefano Damiani , Monica Done , Andrés Estradé , Brandon Asika Etuka , Melanie Formica , Rachel Furlan , Mia Geljic , Carmela Germano , Ruth Getachew , Mathias Goncalves , Anastasia Haidar , Jessica Hartmann , Anna Jo , Omar John , Sarah Kerins , Melissa Kerr , Irena Kesselring , Honey Kim , Nicholas Kim , Kyle Kinney , Marija Krcmar , Elana Kotler , Melanie Lafanechere , Clarice Lee , Joshua Llerena , Christopher Markiewicz , Priya Matnejl , Alejandro Maturana , Aissata Mavambu , Rocío Mayol-Troncoso , Amelia McDonnell , Alessia McGowan , Danielle McLaughlin , Rebecca McIlhenny , Brittany McQueen , Yohannes Mebrahtu , Martina Mensi , Christy Lai Ming Hui , Yi Nam Suen , Stephanie Ming Yin Wong , Neal Morrell , Mariam Omar , Alice Partridge , Christina Phassouliotis , Anna Pichiecchio , Pierluigi Politi , Christian Porter , Umberto Provenzani , Nicholas Prunier , Jasmine Raj , Susan Ray , Victoria Rayner , Manuel Reyes , Kate Reynolds , Sage Rush , Cesar Salinas , Jashmina Shetty , Callum Snowball , Sophie Tod , Gabriel Turra-Fariña , Daniela Valle , Simone Veale , Sarah Whitson , Alana Wickham , Sarah Youn , Francisco Zamorano , Elissa Zavaglia , Jamie Zinberg , Scott W Woods , Martha E Shenton

Abstract This article describes the rationale, aims, and methodology of the Accelerating Medicines Partnership® Schizophrenia (AMP® SCZ). This is the largest international collaboration to date that will develop algorithms to predict trajectories and outcomes of individuals at clinical high risk (CHR) for psychosis and to advance the development and use of novel pharmacological interventions for CHR individuals. We present a description of the participating research networks and the data processing analysis and coordination center, their processes for data harmonization across 43 sites from 13 participating countries (recruitment across North America, Australia, Europe, Asia, and South America), data flow and quality assessment processes, data analyses, and the transfer of data to the National Institute of Mental Health (NIMH) Data Archive (NDA) for use by the research community. In an expected sample of approximately 2000 CHR individuals and 640 matched healthy controls, AMP SCZ will collect clinical, environmental, and cognitive data along with multimodal biomarkers, including neuroimaging, electrophysiology, fluid biospecimens, speech and facial expression samples, novel measures derived from digital health technologies including smartphone-based daily surveys, and passive sensing as well as actigraphy. The study will investigate a range of clinical outcomes over a 2-year period, including transition to psychosis, remission or persistence of CHR status, attenuated positive symptoms, persistent negative symptoms, mood and anxiety symptoms, and psychosocial functioning. The global reach of AMP SCZ and its harmonized innovative methods promise to catalyze the development of new treatments to address critical unmet clinical and public health needs in CHR individuals.

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A New Genetic Algorithm Encoding for Coalition Structure Generation Problems

2020 , Juan Pablo Contreras , BOSCH PÉREZ, PAUL JESÚS , VARAS VALDÉS, MAURICIO ANDRÉS , Franco Basso

Genetic algorithms have proved to be a useful improvement heuristic for tackling several combinatorial problems, including the coalition structure generation problem. In this case, the focus lies on selecting the best partition from a discrete set. A relevant issue when designing a Genetic algorithm for coalition structure generation problems is to choose a proper genetic encoding that enables an efficient computational implementation. In this paper, we present a novel hybrid encoding, and we compare its performance against several genetic encoding proposed in the literature. We show that even in difficult instances of the coalition structure generation problem, the proposed approach is a competitive alternative to obtaining good quality solutions in reasonable computing times. Furthermore, we also show that the encoding relevance increases as the number of players increases.

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On the Inverse Degree Polynomial

2019 , BOSCH PÉREZ, PAUL JESÚS , José Manuel Rodríguez , Omar Rosario , José María Sigarreta

Using the symmetry property of the inverse degree index, in this paper, we obtain several mathematical relations of the inverse degree polynomial, and we show that some properties of graphs, such as the cardinality of the set of vertices and edges, or the cyclomatic number, can be deduced from their inverse degree polynomials.

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Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains

2020 , Yudier Peña Pérez , Ricardo Abreu Blaya , BOSCH PÉREZ, PAUL JESÚS , Juan Bory Reyes

We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2. The study deals with a novel approach of h-summability condition for the curves, which would be extremely irregular and deserve to be considered fractals. Our technique of proofs is based on the intimate relations between solutions of time-harmonic Maxwell system and those of the Dirac equation through some nonlinear equations, when both cases are reformulated in quaternionic forms.

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Some new Milne-type inequalities

2024 , BOSCH PÉREZ, PAUL JESÚS , José M. Rodríguez , José M. Sigarreta , Eva Tourís

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Generalized inequalities involving fractional operators of the Riemann-Liouville type

2021 , BOSCH PÉREZ, PAUL JESÚS , Héctor J. Carmenate , José M. Rodríguez , José M. Sigarreta

In this paper, we present a general formulation of the well-known fractional drifts of Riemann-Liouville type. We state the main properties of these integral operators. Besides, we study Ostrowski, Székely-Clark-Entringer and Hermite-Hadamard-Fejér inequalities involving these general fractional operators.

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On the Generalized Laplace Transform

2021 , BOSCH PÉREZ, PAUL JESÚS , Héctor José Carmenate García , José Manuel Rodríguez , José María Sigarreta

In this paper we introduce a generalized Laplace transform in order to work with a very general fractional derivative, and we obtain the properties of this new transform. We also include the corresponding convolution and inverse formula. In particular, the definition of convolution for this generalized Laplace transform improves previous results. Additionally, we deal with the generalized harmonic oscillator equation, showing that this transform and its properties allow one to solve fractional differential equations.

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