Associate Professor Vera Roshchina

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Associate Professor Vera Roshchina

Associate Professor

2009 PhD in Applied Mathematics, City University of Hong Kong

Science

School of Mathematics & Statistics

Please visit my for more details.

Phone

+61-2-9385 7037

E-mail

v.roshchina@unsw.edu.au

Location

School of Mathematics and Statistics ��¼� Sydney NSW 2052 The Red Centre Room 3063

Book Chapters | 2018

Roshchina V; Sang T; Yost D, 2018, 'Compact Convex Sets with Prescribed Facial Dimensions', in MATRIX Book Series, Springer International Publishing, pp. 167 - 175,

Book Chapters | 2010

Baier R; Farkhi E; Roshchina V, 2010, 'On computing the mordukhovich subdifferential using directed sets in two dimensions', in Springer Optimization and Its Applications, pp. 59 - 93,
Journal articles | 2025

Plakhov A; Roshchina V, 2025, 'THE PROBLEM OF OPTIMAL CAMOUFLAGING', SIAM Journal on Mathematical Analysis, 57, pp. 95 - 117,

Journal articles | 2025

Roshchina V; Tunçel L, 2025, 'EVERYTHING IS POSSIBLE: CONSTRUCTING SPECTRAHEDRA WITH PRESCRIBED FACIAL DIMENSIONS', SIAM Journal on Optimization, 35, pp. 400 - 418,

Journal articles | 2024

Dao MN; Dressler M; Liao H; Roshchina V, 2024, 'Douglas–Rachford is the best projection method in its family', Optimization,

Journal articles | 2024

Lourenço BF; Roshchina V; Saunderson J, 2024, 'Hyperbolicity cones are amenable', Mathematical Programming, 204, pp. 753 - 764,

Journal articles | 2024

Millan RD; Roshchina V, 2024, 'FACE RELATIVE INTERIOR OF CONVEX SETS IN TOPOLOGICAL VECTOR SPACES', SIAM Journal on Optimization, 34, pp. 3456 - 3476,

Journal articles | 2024

Peiris V; Roshchina V; Sukhorukova N, 2024, 'Artificial neural networks with uniform norm-based loss functions', Advances in Computational Mathematics, 50,

Journal articles | 2024

Roshchina V; Sukhorukova N; Ugon J, 2024, 'Uniqueness of solutions in multivariate Chebyshev approximation problems', Optimization Letters, 18, pp. 33 - 55,

Journal articles | 2023

Millán RD; Roshchina V, 2023, 'The Intrinsic Core and Minimal Faces of Convex Sets in General Vector Spaces', Set Valued and Variational Analysis, 31,

Journal articles | 2022

Lourenço BF; Roshchina V; Saunderson J, 2022, 'AMENABLE CONES ARE PARTICULARLY NICE', SIAM Journal on Optimization, 32, pp. 2347 - 2375,

Journal articles | 2020

Burachik RS; Cánovas MJ; Roshchina V; Sagastizábal C, 2020, 'Preface of the Special Issue Error Bounds, Regularity, and Nonsmooth Optimization: Dedicated to Alexander Kruger on his 65th Birthday', Set-Valued and Variational Analysis, 28,

Journal articles | 2020

Peña J; Roshchina V, 2020, 'A data-independent distance to infeasibility for linear conic systems', SIAM Journal on Optimization, 30, pp. 1049 - 1066,

Journal articles | 2020

Ramírez C H; Roshchina V, 2020, 'Refining the partition for multifold conic optimization problems', Optimization, 69, pp. 2489 - 2507,

Journal articles | 2019

Bui HT; Lindstrom SB; Roshchina V, 2019, 'Variational Analysis Down Under Open Problem Session', Journal of Optimization Theory and Applications, 182, pp. 430 - 437,

Journal articles | 2019

Cominetti R; Roshchina V; Williamson A, 2019, 'A counterexample to De Pierro's conjecture on the convergence of under-relaxed cyclic projections', Optimization, 68, pp. 3 - 12,

Journal articles | 2019

Eberhard A; Roshchina V; Sang T, 2019, 'Outer limits of subdifferentials for min–max type functions', Optimization, 68, pp. 1391 - 1409,

Journal articles | 2019

Martínez-Legaz JE; Roshchina V; Todorov M, 2019, 'On the Structure of Higher Order Voronoi Cells', Journal of Optimization Theory and Applications, 183, pp. 24 - 49,

Journal articles | 2019

Plakhov A; Roshchina V, 2019, 'Invisibility in Billiards is Impossible in an Infinite Number of Directions', Journal of Dynamical and Control Systems, 25, pp. 671 - 679,

Journal articles | 2019

Roshchina V; Tunçel L, 2019, 'Facially dual complete (NICE) cones and lexicographic tangents', SIAM Journal on Optimization, 29, pp. 2363 - 2387,

Journal articles | 2019

Roshchina V, 2019, 'The Demyanov–Ryabova conjecture is false', Optimization Letters, 13, pp. 227 - 234,

Journal articles | 2016

Baier R; Farkhi E; Roshchina V, 2016, 'From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus Rules', Journal of Optimization Theory and Applications, 171, pp. 384 - 401,

Journal articles | 2015

Cucker F; Peña J; Roshchina V, 2015, 'Solving second-order conic systems with variable precision', Mathematical Programming, 150, pp. 217 - 250,

Journal articles | 2015

Meng K; Roshchina V; Yang X, 2015, 'On Local Coincidence of a Convex Set and its Tangent Cone', Journal of Optimization Theory and Applications, 164, pp. 123 - 137,

Journal articles | 2014

Baier R; Farkhi E; Roshchina V, 2014, 'Directed Subdifferentiable Functions and the Directed Subdifferential Without Delta-Convex Structure', Journal of Optimization Theory and Applications, 160, pp. 391 - 414,

Journal articles | 2014

Briquel I; Cucker F; Peña J; Roshchina V, 2014, 'Fast computation of zeros of polynomial systems with bounded degree under finite-precision', Mathematics of Computation, 83, pp. 1279 - 1317,

Journal articles | 2014

Peña J; Roshchina V; Soheili N, 2014, 'Some preconditioners for systems of linear inequalities', Optimization Letters, 8, pp. 2145 - 2152,

Journal articles | 2014

Plakhov A; Roshchina V, 2014, 'Bodies with mirror surface invisible from two points', Nonlinearity, 27, pp. 1193 - 1203,

Journal articles | 2014

Roshchina V, 2014, 'Facially exposed cones are not always nice', SIAM Journal on Optimization, 24, pp. 257 - 268,

Journal articles | 2013

Peña J; Roshchina V, 2013, 'A complementarity partition theorem for multifold conic systems', Mathematical Programming, 142, pp. 579 - 589,

Journal articles | 2013

Plakhov A; Roshchina V, 2013, 'Fractal bodies invisible in 2 and 3 directions', Discrete and Continuous Dynamical Systems Series A, 33, pp. 1615 - 1631,

Journal articles | 2012

Baier R; Farkhi E; Roshchina V, 2012, 'The directed and Rubinov subdifferentials of quasidifferentiable functions, Part I: Definition and examples', Nonlinear Analysis Theory Methods and Applications, 75, pp. 1074 - 1088,

Journal articles | 2012

Baier R; Farkhi E; Roshchina V, 2012, 'The directed and Rubinov subdifferentials of quasidifferentiable functions, Part II: Calculus', Nonlinear Analysis Theory Methods and Applications, 75, pp. 1058 - 1073,

Journal articles | 2012

Cucker F; Peña J; Roshchina V, 2012, 'Round-off estimates for second-order conic feasibility problems', Comptes Rendus Mathematique, 350, pp. 639 - 641,

Journal articles | 2012

Lakshtanov E; Roshchina V, 2012, 'On finiteness in the card game of war', American Mathematical Monthly, 119, pp. 318 - 323,

Journal articles | 2011

Plakhov A; Roshchina V, 2011, 'Invisibility in billiards', Nonlinearity, 24, pp. 847 - 854,

Journal articles | 2010

Mordukhovich BS; Peña JF; Roshchina V, 2010, 'Applying metric regularity to compute a condition measure of a smoothing algorithm for matrix games', SIAM Journal on Optimization, 20, pp. 3490 - 3511,

Journal articles | 2008

Demyanov VF; Roshchina V, 2008, 'Exhausters and subdifferentials in non-smooth analysis', Optimization, 57, pp. 41 - 56,

Journal articles | 2008

Demyanov VF; Roshchina VA, 2008, 'Exhausters, optimality conditions and related problems', Journal of Global Optimization, 40, pp. 71 - 85,

Journal articles | 2008

Li D; Qi L; Roshchina V, 2008, 'A new class of quasi-Newton updating formulas', Optimization Methods and Software, 23, pp. 237 - 249,

Journal articles | 2008

Roshchina V, 2008, 'Exact calculus of Fréchet subdifferentials for Hadamard directionally differentiable functions', Nonlinear Analysis Theory Methods and Applications, 69, pp. 1112 - 1124,

Journal articles | 2008

Roshchina V, 2008, 'On conditions for the minimality of exhausters', Journal of Convex Analysis, 15, pp. 859 - 868

Journal articles | 2008

Roshchina V, 2008, 'Reducing exhausters', Journal of Optimization Theory and Applications, 136, pp. 261 - 273,

Journal articles | 2007

Dem'yanov VF; Roshchina VA, 2007, 'Generalized subdifferentials and exhausters in nonsmooth analysis', Doklady Mathematics, 76, pp. 652 - 655,

Journal articles | 2007

Roshchina V, 2007, 'Relationships between upper exhausters and the basic subdifferential in variational analysis', Journal of Mathematical Analysis and Applications, 334, pp. 261 - 272,

Journal articles | 2006

Demyanov VF; Roshchina VA, 2006, 'Optimality conditions in terms of upper and lower exhausters', Optimization, 55, pp. 525 - 540,
Preprints | 2023

Roshchina V; Tunçel L, 2023, Everything is possible: constructing spectrahedra with prescribed facial dimensions,

Preprints | 2021

Lourenço BF; Roshchina V; Saunderson J, 2021, Hyperbolicity cones are amenable,

Preprints | 2021

Millán RD; Roshchina V, 2021, The intrinsic core and minimal faces of convex sets in general vector spaces,

Preprints | 2021

Peiris V; Sukhorukova N; Roshchina V, 2021, Deep Learning with Nonsmooth Objectives,

Preprints | 2020

Lourenço BF; Roshchina V; Saunderson J, 2020, Amenable cones are particularly nice,

Conference Papers | 2020

Millán RD; Lindstrom SB; Roshchina V, 2020, 'Comparing averaged relaxed cutters and projection methods: Theory and examples', in Springer Proceedings in Mathematics and Statistics, pp. 75 - 98,

Preprints | 2019

Roshchina V; Sukhorukova N; Ugon J, 2019, Uniqueness of solutions in multivariate Chebyshev approximation problems,

Preprints | 2018

Cominetti R; Roshchina V; Williamson A, 2018, A counterexample to De Pierro's conjecture on the convergence of under-relaxed cyclic projections,

Preprints | 2018

Martínez-Legaz JE; Roshchina V; Todorov M, 2018, On the Structure of Higher Order Voronoi Cells,

Preprints | 2018

Millán RD; Lindstrom SB; Roshchina V, 2018, Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples,

Preprints | 2017

Eberhard A; Roshchina V; Sang T, 2017, Outer limits of subdifferentials for min-max type functions,

Preprints | 2017

Roshchina V; Tunçel L, 2017, Facially Dual Complete (Nice) cones and lexicographic tangents,

Preprints | 2016

Roshchina V; Sang T; Yost D, 2016, Compact convex sets with prescribed facial dimensions,

Preprints | 2015

Baier R; Farkhi E; Roshchina V, 2015, From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus Rules,

Preprints | 2013

Pena J; Roshchina V; Soheili N, 2013, Some preconditioners for systems of linear inequalities,

Preprints | 2013

Plakhov A; Roshchina V, 2013, Bodies with mirror surface invisible from two points,

Preprints | 2012

Baier R; Farkhi E; Roshchina V, 2012, Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure,

Preprints | 2012

Briquel I; Cucker F; Pena J; Roshchina V, 2012, Fast Computation of Zeros of Polynomial Systems with Bounded Degree under Finite-precision,

Preprints | 2012

Plakhov A; Roshchina V, 2012, Invisibility in billiards is impossible in an infinite number of directions,

Preprints | 2011

Cucker F; Peña J; Roshchina V, 2011, Solving second-order conic systems with variable precision,

Preprints | 2011

Plakhov A; Roshchina V, 2011, Bodies invisible from one point,

Preprints | 2011

Plakhov A; Roshchina V, 2011, Fractal bodies invisible in 2 and 3 directions,

Preprints | 2010

Lakshtanov E; Roshchina V, 2010, Finiteness in the Card Game of War,

Preprints | 2010

Mordukhovich B; Peña J; Roshchina V, 2010, Applying Metric Regularity to Compute a Condition Measure of a Smoothing Algorithm for Matrix Games,

Preprints | 2010

Plakhov A; Roshchina V, 2010, Invisibility in billiards,

Conference Papers | 2010

Roshchina V, 2010, 'Mordukhovich subdifferential of pointwise minimum of approximate convex functions', in Optimization Methods and Software, pp. 129 - 141,

2020-2022 ARC Discovery��"Geometry in projection methods and fixed-point theory"
2018-2021 ARC Discovery��"An optimisation-based framework for non-classical Chebyshev approximation''
2015-2018��ARC DECRA�� "Geometry and Conditioning in Structured Conic Problems''
2011-2013 FCT (Portuguese Foundation for Science and Technology)��"Scattering of billiards and applications to aerodynamics of rarefied media''

2021 Christopher Heyde Medal

My Teaching

Currently teaching

Mathematical Optimisation for Data Science
Several Variable Calculus��
Mathematics 1B Algebra��

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