Ilaria Trombini

Post-Doctoral Researcher in Mathematics

Post-Doctoral Researcher at the University of Ferrara, specializing in stochastic optimization methods for machine learning and deep learning applications. My research focuses on adaptive steplength selection, line-search procedures, and variance reduction techniques.

trmlri[at]unife.it ORCID Google Scholar Scopus ResearchGate Linkedin

About

Born in 1997 in Portomaggiore, Italy. I completed my PhD in Mathematical, Physical and Computer Sciences at the University of Parma in March 2025. Currently, I hold a post-doctoral position at the University of Ferrara, where I continue my research in optimization algorithms for machine learning.

I am also a part-time professor teaching Numerical Analysis I for the Bachelor's Degree in Mathematics at the University of Ferrara since November 2025.

Research Interests

Stochastic Optimization Machine Learning Deep Learning Adaptive Methods Line-Search Procedures Variance Reduction Mini-Batch Techniques Inverse Problems

Research

Research Focus

My research primarily focuses on stochastic gradient-like methods for machine and deep learning applications. I investigate adaptive steplength selection rules, line-search procedures, and variance reduction techniques through dynamic adaptive mini-batch sizing.

Grants

2025

Honorable Mentions

“Daniela di Serafino” International Doctoral Award - 2025

Active Projects

2026

INdAM - GNCS Projects 2026

"Oltre il gradiente deterministico: analisi di dinamiche stocastiche per funzioni non convesse"

Amount: €1,800

2026

Bando di selezione “Universities for Innovation” - 35 Borse di mobilità Erasmus+ ai fini di formazione per lo staff degli istituti si istruzione superiori

Amount: €3,073

2025

5x1000 - Dipartimento di Matematica ed Informatica, Unife

"Algoritmi stocastici di ottimizzazione applicati all'ambito dei problemi inversi"

Amount: €1,990

2025

INdAM - GNCS Projects 2025

"Metodi avanzati di ottimizzazione stocastica per la risoluzione di problemi inversi di imaging"

PI: T. A. Bubba

2024

MATH4AI

Advanced MATHematical methods for Artificial Intelligence, funded by FAIR PE0000013

Research Visits

Spring 2023

University of Novi Sad, Serbia

Extended research visit (2 months)

Publications

Submitted

N. Krklec Jerinkić, L. Rutešić, I. Trombini

ASMOP: Additional sampling stochastic trust region method for multi-objective problems

2026

Journal Articles

N. Krklec Jerinkić, F. Porta, V. Ruggiero, I. Trombini

Variable metric proximal stochastic gradient methods with additional sampling

Computational Optimization and Applications, 2025

N. Krklec Jerinkić, V. Ruggiero, I. Trombini

Spectral Stochastic Gradient Method with Additional Sampling for Finite and Infinite Sums

Computational Optimization and Applications, Vol. 91, pp. 717-758, 2025

G. Franchini, F. Porta, V. Ruggiero, I. Trombini, L. Zanni

A stochastic gradient method with variance control and variable learning rate for Deep Learning

Journal of Computational and Applied Mathematics, Vol. 451, p. 116083, 2024

G. Franchini, F. Porta, V. Ruggiero, I. Trombini

Correction to: A Line Search Based Proximal Stochastic Gradient Algorithm with Dynamical Variance Reduction

Journal of Scientific Computing, Vol. 96.48, 2023

G. Franchini, F. Porta, V. Ruggiero, I. Trombini, L. Zanni

Learning rate selection in stochastic gradient methods based on line search strategies

Applied Mathematics in Science and Engineering, Vol. 31.1, p. 2164000, 2023

G. Franchini, F. Porta, V. Ruggiero, I. Trombini

A line search based proximal stochastic gradient algorithm with dynamical variance reduction

Journal of Scientific Computing, Vol. 94.23, 2023

Conference Proceedings

G. Franchini, F. Porta, V. Ruggiero, I. Trombini, L. Zanni

Line Search Stochastic Gradient Algorithm with a-priori rule for monitoring the control of the variance

NUMTA 2023, Lecture Notes in Computer Science, Vol. 14476, Springer, 2025

G. Franchini, F. Porta, V. Ruggiero, I. Trombini, L. Zanni

Diagonal Barzilai-Borwein Rules in Stochastic Gradient-Like Methods

OLA 2023, Communications in Computer and Information Science, Vol. 1824, pp. 21-35, 2023

G. Franchini, V. Ruggiero, I. Trombini

Thresholding Procedure via Barzilai-Borwein Rules for the Steplength Selection in Stochastic Gradient Methods

LOD 2021, Lecture Notes in Computer Science, Vol. 13164, 2022

PhD Thesis

I. Trombini

On the hyperparameters setting for first order stochastic optimization methods in machine learning

PhD Thesis, 2025

Teaching Experience

Current Position

November 2025 - Present

University of Ferrara

Part-time Professor (8/56 hours)

Analisi Numerica I - Bachelor's Degree in Mathematics

Seminars & Workshops

September 2024

University of Ferrara

Seminar on tensor calculus (8 hours)

September 2023

University of Ferrara

Seminar on tensor calculus (8 hours)

October 2022

University of Ferrara

Seminar on tensor calculus (8 hours)

Tutoring Experience

October 2019 - January 2025

University of Ferrara - Mathematics and Computer Science

Analisi Numerica I (24 hours)

September 2021 - January 2024

University of Ferrara - Mathematics and Computer Science

Calcolo numerico e laboratorio (27 hours)

September 2022 - November 2023

University of Ferrara - Civil Engineering

Introduzione a Matlab (25 hours)

November 2021 - March 2022

University of Ferrara - Mathematics and Computer Science

Progetto Lauree Scientifiche (76 hours)

Thesis Co-Supervision

2023-2024

Carra Irene - "Il problema inverso della ricostruzione di immagini sfocate"

Bachelor's Degree in Mathematics

2022-2023

Fabbri Anna - "Metodi numerici per il calcolo di autovalori e autovettori"

Bachelor's Degree in Mathematics

2021-2022

Bignozzi Dario - "Addestramento automatico mediante regressione logistica e SVM"

Bachelor's Degree in Mathematics

Curriculum Vitae

Download CV

Education

21 March 2025

University of Parma

PhD in Mathematical, Physical and Computer Sciences

23 July 2021

University of Ferrara

Master's Degree in Mathematics and Computer Science

26 July 2019

University of Ferrara

Bachelor's Degree in Mathematics and Computer Science

Professional Experience

October 2024 - Present

University of Ferrara

Post-Doctoral Researcher

April 2021 - May 2021

Meeo s.r.l

Internship

Study of the development of the locust and predictions of its movement

Memberships

EWM (2026-Present) UMI - AI&ML&MAT (2025-Present) UMI - MIVA (2025-Present) Unione Matematica Italiana (2025-Present) OASIS (2021-Present) GNCS (2021-Present)

Conferences & Talks

January 2026

SIAM Chapters meeting for Young Researchers in Applied Mathematics and Scientific Computing - PoliMi

January 2026

Italian Inverse problems & Imaging meeting - University of Genova

July 2025

Applied Inverse Problems (AIP 2025) - FGV EMAp, Rio de Janeiro

July 2025

International Conference On Continuous Optimization (ICOOPT 2025) - University of Southern California

January 2025

Mathematics for AI and ML Workshop - University of Bari

Service

Reviewer for Mathematical Reviews

Organizer (with G. Malaspina) of Minisymposium "Optimization in Action: Advances in Stochastic and Deterministic Methods" at YAMC2025, Padova (September 2025)

Scientific Committee Member for "Advanced Numerical Methods for Machine & Deep Learning", Ferrara (February 2025)