NEWS

New talk in the Logic Seminar

Nicoleta Dumitru will give on Thursday, February 22, 2024, at 14:00 the talk (Post-)Quantum Cryptography in the Logic Seminar.


New paper in Examples and Counterexamples

Mihai Prunescu published (in collaboration with Lorenzo Sauras-Altuzarra) the paper An arithmetic term for the factorial function in Examples and Counterexamples.

New talk in the Logic Seminar

Marian Călborean (University of Bucharest) will give on Thursday, February 8, 2024, at 14:00 the talk The logic of gradable adjectives: a layered supervaluationism and parametrized degree-theory II in the Logic Seminar.



More news...

ABOUT

The Research Center for Logic, Optimization and Security (LOS) was founded in October 2020 by Laurenţiu Leuştean (head), Paul Irofti and Andrei Pătraşcu.
Our main objective is to stimulate interdisciplinary research in the fields of logic, optimization and security. We are interested both in fundamental research as well as in industrial applications. We focus on proof mining and applications to optimization, ergodic theory and nonlinear analysis, convex optimization for machine learning, signal processing and matrix factorization (dictionary learning), security, anomaly detection and anti-money laundry.

Contact
Hall 317, Faculty of Mathematics and Computer Science,
Academiei 14, 010014 Bucharest, Romania
Email: los@fmi.unibuc.ro

PEOPLE

Faculty


Associated researchers


PhD Students


Research Assistants


Undergraduate and Master Students

Vladimir Antofi

VLADIMIR ANTOFI

Dafina Trufas

DAFINA TRUFAŞ



Former Members

PROJECTS

Profet (680PED/2022)

The project PROFET aims at developing and implementing a better solution compared to the existing ones regarding the precise positioning of a satellite onto its orbit. The efficiency of our approach comes from the low frequency of interaction between the space object and the GNSS (Global Navigation Satellite System) network. To achieve this, the definition of mission requirements, altogether with data retrieval from the orbital satellite is needed. The successful design of the estimation algorithms will be followed by the definition of the hardware requirements and the design of an electronic module, the estimation software being implemented at the firmware level, afterwards.

NetAlert (SOL4/2021)

NetAlert aims to create a hardware-software sensor solution for detecting anomalies in computer networks based on the monitoring and analysis of data packets. The network-mounted sensor will provide real-time alerts on abnormal traffic behaviors using two complementary approaches:
(i) static analysis based on rules and behavioral patterns;
(ii) machine learning (ML) analysis without prior expert knowledge.






DDNET (12PD/2020)

The main goal of this project, called DDNET, is to adapt and propose new dictionary learning methods for solving untractable fault detection and isolation problems found in distribution networks. Given a large dataset of sensor measurements from the distribution network, the dictionary learning algorithms should be able to produce the subset of network nodes where faults exist.










Graphomaly (287PED/2020)

The proposed project, called Graphomaly, aims to create a Python software package for anomaly detection in graphs that model financial transactions, with the purpose of discovering fraudulent behavior like money laundering, illegal networks, tax evasion, scams, etc. Such a toolbox is necessary in banks, where fraud detection departments still use mostly human experts.



StOpAnomaly (143PD/2020)

StOpAnomaly aims to create, analyze and implement numerical optimization algorithms for large-scale optimization focusing on robust anomaly detection models based on decomposition and one-class classification. The research will be directed towards development of a toolbox containing scalable stochastic algorithms that can be used to detect several classes of anomalies in noisy large datasets.

SEMINARS

Scientific seminars organized by LOS members

LOS SEMINAR

The working seminar of the LOS research center.

LOGIC SEMINAR

The seminar features talks on mathematical logic, philosophical logic and logical aspects of computer science.




PROOF MINING SEMINAR

The seminar presents recent results on proof mining.



Past seminars

PUBLICATIONS

  1. M. Prunescu, L. Sauras-Altuzarra An arithmetic term for the factorial function, Examples and Counterexamples, 5:100136 (2023).
    DOI:10.1016/j.exco.2024.100136
  2. L. Romero-Ben, P. Irofti, F. Stoican, V. Puig Nodal Hydraulic Head Estimation through Unscented Kalman Filter for Data-driven Leak Localization in Water Networks, arXiv:2311.15875 [eess.SY] (2023).
  3. P. Irofti, L. Romero-Ben, F. Stoican, V. Puig Learning Dictionaries from Physical-Based Interpolation for Water Network Leak Localization, IEEE Transactions on Control Systems Technology (2023).
    DOI: 10.1109/TCST.2023.3329696
  4. P. Irofti, Pinky: A Modern Malware-oriented Dynamic Information Retrieval Tool, International Conference on Information Technology and Communications Security (SecITC 2023), Springer, 65-78 (2023).
    DOI:10.1007/978-3-031-52947-4_6
  5. A. Stancu, P. Irofti, I. Leuștean, OpenBSD formal driver verification with SeL4, International Conference on Information Technology and Communications Security (SecITC 2023), Springer, 144-156 (2023).
    DOI:10.1007/978-3-031-52947-4_11
  6. R. Bălucea, P. Irofti, Software Mitigation of RISC-V Spectre Attacks, International Conference on Information Technology and Communications Security (SecITC 2023), Springer, 51-64 (2023).
    DOI:10.1007/978-3-031-52947-4_5
  7. L. Păunescu, A. Sipoş, A proof-theoretic metatheorem for tracial von Neumann algebras, Mathematical Logic Quarterly, 69(1):63-76 (2023),
    DOI: 10.1002/malq.202200048
  8. L. Leuştean, P. Pinto, Rates of asymptotic regularity for the alternating Halpern-Mann iteration, Optimization Letters (2023),
    DOI:10.1007/s11590-023-02002-y
  9. H. Cheval, Rates of asymptotic regularity of the Tikhonov-Mann iteration for families of mappings, arXiv:2304.11366 [math.OC] (2023).
  10. H. Cheval, U. Kohlenbach, L. Leuştean, On modified Halpern and Tikhonov-Mann iterations, Journal of Optimization Theory and Applications 197:233-251 (2023).
    DOI: 10.1007/s10957-023-02192-6
  11. H. Cheval, L. Leuştean, Linear rates of asymptotic regularity for Halpern-type iterations, arXiv:2303.05406 [math.OC] (2023).
  12. A. Sipoş, The computational content of super strongly nonexpansive mappings and uniformly monotone operators, arXiv:2303.02768 [math.OC] (2023).
  13. S.S. Mihai, F. Stoican, B.D. Ciubotaru, On the link between explicit MPC and the face lattice of the lifted feasible domain, 18th IFAC Workshop on Control Applications of Optimization (CAO22), 308-313 (2022).
    DOI: 10.1016/j.ifacol.2022.09.042
  14. T.G. Nicu, F. Stoican, I. Prodan, Polyhedral potential field constructions for obstacle avoidance in a receding horizon formulation, 18th IFAC Workshop on Control Applications of Optimization (CAO22), 254-259 (2022).
    DOI: 10.1016/j.ifacol.2022.09.033
  15. A. Sipoş, Revisiting jointly firmly nonexpansive families of mappings, Optimization, 71:3819-3834 (2022).
    DOI: 10.1080/02331934.2021.1915312
  16. M. Prunescu, Symmetries in the Pascal triangle: $p$-adic valuation, sign-reduction modulo $p$ and the last non-zero digit, Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie 65 (113):431-447 (2022).
  17. A. Sipoş, On quantitative metastability for accretive operators , arXiv:2210.11131 [math.FA] (2022).
  18. L. Păunescu, A. Sipoş, A proof-theoretic metatheorem for tracial von Neumann algebras, arXiv:2209.01797 [math.LO] (2022).
  19. A. Pătraşcu, P. Irofti, On finite termination of an inexact Proximal Point algorithm, Applied Mathematics Letters (2022)
    DOI: 10.1016/j.aml.2022.108348.
  20. A. Sipoş, Abstract strongly convergent variants of the proximal point algorithm , Computational Optimization and Applications 83:349-380 (2022),
    DOI: 10.1007/s10589-022-00397-5
  21. A. Sipoş, On extracting variable Herbrand disjunctions, Studia Logica 110:1115–1134, (2022),
    DOI: 10.1007/s11225-022-09990-5
  22. P. Irofti, L. Romero-Ben, F. Stoican, V. Puig, Data-driven Leak Localization in Water Distribution Networks via Dictionary Learning and Graph-based Interpolation, in Proceedings of the 2022 6th IEEE Conference on Control Technology and Applications (CCTA22) (2022)
  23. P. Irofti, A. Pătrașcu, A.I Hîji, Unsupervised Abnormal Traffic Detection through Topological Flow Analysis, in Proceedings of the 14th International Conference on Communications (COMM2022) (2022)
  24. A. Sipoş, Quantitative inconsistent feasibility for averaged mappings, Optimization Letters 16:1915–1925 (2022),
    DOI: 10.1007/s11590-021-01812-2
  25. H. Cheval, L. Leuştean, Quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration, Optimization Methods and Software (2022),
    DOI: 10.1080/10556788.2022.2060974
  26. P. Irofti, C. Rusu, A. Pătraşcu, Dictionary Learning with Uniform Sparse Representations for Anomaly Detection, in Proceedings of 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2022), IEEE Computer Society, 3378-3382 (2022),
    DOI: 10.1109/ICASSP43922.2022.9747365
  27. C. Rusu, C. Rosasco, Fast approximation of orthogonal matrices and application to PCA, Signal Processing 194:108451 (2022),
    DOI: 10.1016/j.sigpro.2021.108451
  28. C. Rusu, An iterative Jacobi-like algorithm to compute a few sparse eigenvalue-eigenvector pairs, arXiv:2105.14642 [math.NA] (2021)
  29. A. Pătraşcu, P. Irofti, Computational complexity of Inexact Proximal Point Algorithm for Convex Optimization under Holderian Growth, arXiv:2108.04482 [cs.LG] (2021)
  30. C. Rusu, An iterative coordinate descent algorithm to compute sparse low-rank approximations, IEEE Signal Processing Letters (2021),
    DOI: 10.1109/LSP.2021.3132276
  31. A. Sipoş, Bounds on strong unicity for Chebyshev approximation with bounded coefficients, Mathematische Nachrichten 294:2425–2440 (2021),
    DOI: 10.1002/mana.201900439
  32. C. Rusu, P. Irofti, Efficient and Parallel Separable Dictionary Learning, in Proceedings of the IEEE 27th International Conference on Parallel and Distributed Systems (ICPADS 2021), IEEE Computer Society, 1-6 (2021)
  33. I. Leuştean, B. Macovei, DELP: Dynamic Epistemic Logic for Security Protocols, in Proceedings of the 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2021), 275-282 (2021)
  34. A. Sipoş, A quantitative multiparameter mean ergodic theorem, Pacific Journal of Mathematics 314:209 - 218 (2021),
    DOI: 10.2140/pjm.2021.314.209
  35. C. Rusu, L. Rosasco, Constructing fast approximate eigenspaces with application to the fast graph Fourier transforms, IEEE Transactions on Signal Processing (2021),
    DOI: 10.1109/TSP.2021.3107629
  36. A. Sipoş, Construction of Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces , Numerical Functional Analysis and Optimization 42:696-711 (2021),
    DOI: 10.1080/01630563.2021.1924780
  37. A. Sipoş, Rates of metastability for iterations on the unit interval, Journal of Mathematical Analysis and Applications 502:125235 (2021),
    DOI: 10.1016/j.jmaa.2021.125235
  38. L. Leuştean, P. Pinto, Quantitative results on a Halpern-type proximal point algorithm, Computational Optimization and Applications 79:101–125 (2021),
    DOI: 10.1007/s10589-021-00263-w
  39. A. Pătraşcu, P. Irofti, Stochastic proximal splitting algorithm for composite minimization, Optimization Letters 15:2255–2273 (2021),
    DOI: 10.1007/s11590-021-01702-7