Associate Professor Vera Roshchina

2009 PhD in Applied Mathematics, City University of Hong Kong

Science

School of Mathematics & Statistics

Please visit my Personal Page for more details.

Phone

+61-2-9385 7037

E-mail

v.roshchina@unsw.edu.au

Location

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

Book Chapters | 2018

2018, 'Compact Convex Sets with Prescribed Facial Dimensions', in MATRIX Book Series, Springer International Publishing, pp. 167 - 175, http://dx.doi.org/10.1007/978-3-319-72299-3_7

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, http://dx.doi.org/10.1007/978-1-4419-0437-9_3
Journal articles | 2023

2023, 'Hyperbolicity cones are amenable', Mathematical Programming, http://dx.doi.org/10.1007/s10107-023-01958-0

Journal articles | 2023

2023, 'The Intrinsic Core and Minimal Faces of Convex Sets in General Vector Spaces', Set-Valued and Variational Analysis, 31, http://dx.doi.org/10.1007/s11228-023-00671-6

Journal articles | 2022

2022, 'AMENABLE CONES ARE PARTICULARLY NICE', SIAM Journal on Optimization, 32, pp. 2347 - 2375, http://dx.doi.org/10.1137/20M138466X

Journal articles | 2020

2020, 'A data-independent distance to infeasibility for linear conic systems', SIAM Journal on Optimization, 30, pp. 1049 - 1066, http://dx.doi.org/10.1137/18M1189464

Journal articles | 2020

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, http://dx.doi.org/10.1007/s11228-020-00538-0

Journal articles | 2020

2020, 'Refining the partition for multifold conic optimization problems', Optimization, 69, pp. 2489 - 2507, http://dx.doi.org/10.1080/02331934.2020.1822835

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, http://dx.doi.org/10.1007/s10957-018-1399-x

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, http://dx.doi.org/10.1080/02331934.2018.1474471

Journal articles | 2019

Eberhard A; Roshchina V; Sang T, 2019, 'Outer limits of subdifferentials for min–max type functions', Optimization, 68, pp. 1391 - 1409, http://dx.doi.org/10.1080/02331934.2017.1398750

Journal articles | 2019

Roshchina V, 2019, 'The Demyanov–Ryabova conjecture is false', Optimization Letters, 13, pp. 227 - 234, http://dx.doi.org/10.1007/s11590-018-1296-0

Journal articles | 2019

2019, 'Facially dual complete (NICE) cones and lexicographic tangents', SIAM Journal on Optimization, 29, pp. 2363 - 2387, http://dx.doi.org/10.1137/17M1126643

Journal articles | 2019

2019, 'Invisibility in Billiards is Impossible in an Infinite Number of Directions', Journal of Dynamical and Control Systems, 25, pp. 671 - 679, http://dx.doi.org/10.1007/s10883-019-09443-8

Journal articles | 2019

2019, 'On the Structure of Higher Order Voronoi Cells', Journal of Optimization Theory and Applications, 183, pp. 24 - 49, http://dx.doi.org/10.1007/s10957-019-01555-2

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, http://dx.doi.org/10.1007/s10957-016-0926-x

Journal articles | 2015

Cucker F; PeÃ±a J; Roshchina V, 2015, 'Solving second-order conic systems with variable precision', Mathematical Programming, 150, pp. 217 - 250, http://dx.doi.org/10.1007/s10107-014-0767-z

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, http://dx.doi.org/10.1007/s10957-014-0582-y

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, http://dx.doi.org/10.1007/s10957-013-0401-x

Journal articles | 2014

Briquel I; Cucker F; PeÃ±a J; Roshchina V, 2014, 'Fast computation of zeros of polynomial systems with bounded degree under finite-precision', Mathematics of Computation, 83, pp. 1279 - 1317, http://dx.doi.org/10.1090/S0025-5718-2013-02765-2

Journal articles | 2014

PeÃ±a J; Roshchina V; Soheili N, 2014, 'Some preconditioners for systems of linear inequalities', Optimization Letters, 8, pp. 2145 - 2152, http://dx.doi.org/10.1007/s11590-013-0721-7

Journal articles | 2014

Plakhov A; Roshchina V, 2014, 'Bodies with mirror surface invisible from two points', Nonlinearity, 27, pp. 1193 - 1203, http://dx.doi.org/10.1088/0951-7715/27/6/1193

Journal articles | 2014

Roshchina V, 2014, 'Facially exposed cones are not always nice', SIAM Journal on Optimization, 24, pp. 257 - 268, http://dx.doi.org/10.1137/130922069

Journal articles | 2013

PeÃ±a J; Roshchina V, 2013, 'A complementarity partition theorem for multifold conic systems', Mathematical Programming, 142, pp. 579 - 589, http://dx.doi.org/10.1007/s10107-012-0577-0

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, http://dx.doi.org/10.3934/dcds.2013.33.1615

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, http://dx.doi.org/10.1016/j.na.2011.04.074

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, http://dx.doi.org/10.1016/j.na.2011.04.073

Journal articles | 2012

Cucker F; PeÃ±a J; Roshchina V, 2012, 'Round-off estimates for second-order conic feasibility problems', Comptes Rendus Mathematique, 350, pp. 639 - 641, http://dx.doi.org/10.1016/j.crma.2012.06.013

Journal articles | 2012

Lakshtanov E; Roshchina V, 2012, 'On finiteness in the card game of war', American Mathematical Monthly, 119, pp. 318 - 323, http://dx.doi.org/10.4169/amer.math.monthly.119.04.318

Journal articles | 2011

Plakhov A; Roshchina V, 2011, 'Invisibility in billiards', Nonlinearity, 24, pp. 847 - 854, http://dx.doi.org/10.1088/0951-7715/24/3/007

Journal articles | 2010

Mordukhovich BS; PeÃ±a 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, http://dx.doi.org/10.1137/100786733

Journal articles | 2008

Demyanov VF; Roshchina V, 2008, 'Exhausters and subdifferentials in non-smooth analysis', Optimization, 57, pp. 41 - 56, http://dx.doi.org/10.1080/02331930701778825

Journal articles | 2008

Demyanov VF; Roshchina VA, 2008, 'Exhausters, optimality conditions and related problems', Journal of Global Optimization, 40, pp. 71 - 85, http://dx.doi.org/10.1007/s10898-007-9179-4

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, http://dx.doi.org/10.1080/10556780701646360

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, http://dx.doi.org/10.1016/j.na.2007.06.015

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, http://dx.doi.org/10.1007/s10957-007-9296-8

Journal articles | 2007

Dem'yanov VF; Roshchina VA, 2007, 'Generalized subdifferentials and exhausters in nonsmooth analysis', Doklady Mathematics, 76, pp. 652 - 655, http://dx.doi.org/10.1134/S1064562407050043

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, http://dx.doi.org/10.1016/j.jmaa.2006.12.059

Journal articles | 2006

Demyanov VF; Roshchina VA, 2006, 'Optimality conditions in terms of upper and lower exhausters', Optimization, 55, pp. 525 - 540, http://dx.doi.org/10.1080/02331930600815777
Preprints | 2021

2021, Deep Learning with Nonsmooth Objectives, , http://dx.doi.org/10.48550/arxiv.2107.08800

Preprints | 2021

2021, Hyperbolicity cones are amenable, , http://dx.doi.org/10.48550/arxiv.2102.06359

Preprints | 2021

2021, The intrinsic core and minimal faces of convex sets in general vector spaces, , http://dx.doi.org/10.48550/arxiv.2107.07730

Conference Papers | 2020

2020, 'Comparing averaged relaxed cutters and projection methods: Theory and examples', in Springer Proceedings in Mathematics and Statistics, pp. 75 - 98, http://dx.doi.org/10.1007/978-3-030-36568-4_5

Preprints | 2020

2020, Amenable cones are particularly nice, , http://dx.doi.org/10.48550/arxiv.2011.07745

Preprints | 2019

2019, Uniqueness of solutions in multivariate Chebyshev approximation problems, , http://dx.doi.org/10.48550/arxiv.1908.11570

Preprints | 2018

2018, A counterexample to De Pierro's conjecture on the convergence of under-relaxed cyclic projections, , http://dx.doi.org/10.48550/arxiv.1801.03216

Preprints | 2018

2018, Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples, , http://dx.doi.org/10.48550/arxiv.1810.02463

Preprints | 2018

2018, On the Structure of Higher Order Voronoi Cells, , http://dx.doi.org/10.48550/arxiv.1811.10257

Preprints | 2017

2017, Facially Dual Complete (Nice) cones and lexicographic tangents, , http://dx.doi.org/10.48550/arxiv.1704.06368

Preprints | 2017

2017, Outer limits of subdifferentials for min-max type functions, , http://dx.doi.org/10.48550/arxiv.1701.02852

Preprints | 2016

2016, Compact convex sets with prescribed facial dimensions, , http://dx.doi.org/10.48550/arxiv.1610.02737

Preprints | 2015

2015, From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus Rules, , http://dx.doi.org/10.48550/arxiv.1507.00174

Preprints | 2013

2013, Bodies with mirror surface invisible from two points, , http://dx.doi.org/10.48550/arxiv.1304.4005

Preprints | 2013

2013, Some preconditioners for systems of linear inequalities, , http://dx.doi.org/10.48550/arxiv.1306.5287

Preprints | 2012

2012, Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure, , http://dx.doi.org/10.48550/arxiv.1212.1508

Preprints | 2012

2012, Fast Computation of Zeros of Polynomial Systems with Bounded Degree under Finite-precision, , http://dx.doi.org/10.48550/arxiv.1205.0869

Preprints | 2012

2012, Invisibility in billiards is impossible in an infinite number of directions, , http://dx.doi.org/10.48550/arxiv.1206.6965

Preprints | 2011

2011, Bodies invisible from one point, , http://dx.doi.org/10.48550/arxiv.1112.6167

Preprints | 2011

2011, Fractal bodies invisible in 2 and 3 directions, , http://dx.doi.org/10.48550/arxiv.1107.5667

Preprints | 2011

2011, Solving second-order conic systems with variable precision, , http://dx.doi.org/10.48550/arxiv.1104.1352

Conference Papers | 2010

Roshchina V, 2010, 'Mordukhovich subdifferential of pointwise minimum of approximate convex functions', in Optimization Methods and Software, pp. 129 - 141, http://dx.doi.org/10.1080/10556780903204406

Preprints | 2010

2010, Applying Metric Regularity to Compute a Condition Measure of a Smoothing Algorithm for Matrix Games, , http://dx.doi.org/10.48550/arxiv.1007.4458

Preprints | 2010

2010, Finiteness in the Card Game of War, , http://dx.doi.org/10.48550/arxiv.1007.1371

Preprints | 2010

2010, Invisibility in billiards, , http://dx.doi.org/10.48550/arxiv.1009.1104

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 MATH3191/MATH5191
Several Variable Calculus MATH2011
Mathematics 1B Algebra MATH1231

Follow

Associate Professor Vera Roshchina

Follow me