Performance Estimation of second-order optimization methods on classes of univariate functions | Paper Citation Record

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This paper cites Journal of Optimization Theory and Applications 202(1), 475–496 (2024).

Performance Estimation of second-order optimization methods on classes of univariate functions Journal of Optimization Theory and Applications 202(1), 475–496 (2024)

Reference 1

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Observation b7ad0823-35f1-43ed-9afe-67f049695b34 · outbound

This paper cites Proceedings of the London Mathematical Society 114(1), 133–158 (2017).

Performance Estimation of second-order optimization methods on classes of univariate functions Proceedings of the London Mathematical Society 114(1), 133–158 (2017)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:41.310186Z

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Observation 57f52cea-479a-45aa-b275-fbcfc964201b · outbound

This paper cites Calculus of Variations and Partial Differential Equations 58(84) (2019).

Performance Estimation of second-order optimization methods on classes of univariate functions Calculus of Variations and Partial Differential Equations 58(84) (2019)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:41.070833Z

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This paper cites Electronic Journal of Statistics 4, 384 – 414 (2010).

Performance Estimation of second-order optimization methods on classes of univariate functions Electronic Journal of Statistics 4, 384 – 414 (2010)

Reference 4

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This paper cites In: Conference on learning theory, pp.

Performance Estimation of second-order optimization methods on classes of univariate functions In: Conference on learning theory, pp

Reference 5

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This paper cites SIAM Journal on Optimization 34(3), 3033–3063 (2024).

Performance Estimation of second-order optimization methods on classes of univariate functions SIAM Journal on Optimization 34(3), 3033–3063 (2024)

Reference 6

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Observation 1ff1d519-ecc5-4cfc-9378-9a908f65becb · outbound

This paper cites Siam journal on optimization 20(6), 2833–2852 (2010).

Performance Estimation of second-order optimization methods on classes of univariate functions Siam journal on optimization 20(6), 2833–2852 (2010)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:40.229283Z

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This paper cites Part I: motivation, convergence and numerical results.

Performance Estimation of second-order optimization methods on classes of univariate functions Part I: motivation, convergence and numerical results

Reference 8

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Observation b09ca26f-11d6-4716-bf1f-d02b84a0a339 · outbound

This paper cites arXiv preprint arXiv:2302.11962 (2023).

Performance Estimation of second-order optimization methods on classes of univariate functions arXiv preprint arXiv:2302.11962 (2023)

Reference 9

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This paper cites IEEE Transactions on Automatic Control 68(12), 7136–7150 (2023).

Performance Estimation of second-order optimization methods on classes of univariate functions IEEE Transactions on Automatic Control 68(12), 7136–7150 (2023)

Reference 10

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This paper cites SIAM (2000) 48 A.

Performance Estimation of second-order optimization methods on classes of univariate functions SIAM (2000) 48 A

Reference 11

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Observation c872118f-a799-4f1f-9b5c-8f79a06fa784 · outbound

This paper cites Mathematical Program- ming (2024).

Performance Estimation of second-order optimization methods on classes of univariate functions Mathematical Program- ming (2024)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:39.488683Z

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Observation ce9801f7-8cea-4ed6-92de-54701259b2c0 · outbound

This paper cites Mathematical Programming 204(1), 567–639 (2024).

Performance Estimation of second-order optimization methods on classes of univariate functions Mathematical Programming 204(1), 567–639 (2024)

Reference 13

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This paper cites Optimization Letters 11, 1185–1199 (2017).

Performance Estimation of second-order optimization methods on classes of univariate functions Optimization Letters 11, 1185–1199 (2017)

Reference 14

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This paper cites SIAM Journal on Optimization 30(3), 2053–2082 (2020).

Performance Estimation of second-order optimization methods on classes of univariate functions SIAM Journal on Optimization 30(3), 2053–2082 (2020)

Reference 15

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Performance Estimation of second-order optimization methods on classes of univariate functions Unresolved cited work

Reference 16

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This paper cites Minimizing Quasi-Self-Concordant Functions by Gradient Regularization of Newton Method.

Performance Estimation of second-order optimization methods on classes of univariate functions Minimizing Quasi-Self-Concordant Functions by Gradient Regularization of Newton Method

Reference 17

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This paper cites SIAM Journal on Optimization 34(1), 27–56 (2024).

Performance Estimation of second-order optimization methods on classes of univariate functions SIAM Journal on Optimization 34(1), 27–56 (2024)

Reference 18

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This paper cites Mathematical Programming 194, 41–83 (2022).

Performance Estimation of second-order optimization methods on classes of univariate functions Mathematical Programming 194, 41–83 (2022)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:38.458759Z

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This paper cites In: International Conference on Machine Learning, pp.

Performance Estimation of second-order optimization methods on classes of univariate functions In: International Conference on Machine Learning, pp

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:38.285751Z

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This paper cites Mathematical Programming 145(1), 451–482 (2014).

Performance Estimation of second-order optimization methods on classes of univariate functions Mathematical Programming 145(1), 451–482 (2014)

Reference 21

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This paper cites Mathematical Programming 194(1-2), 975–1016 (2022).

Performance Estimation of second-order optimization methods on classes of univariate functions Mathematical Programming 194(1-2), 975–1016 (2022)

Reference 22

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This paper cites Mathematical Programming Computation 16(3), 337–367 (2024).

Performance Estimation of second-order optimization methods on classes of univariate functions Mathematical Programming Computation 16(3), 337–367 (2024)

Reference 23

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This paper cites Optimal first-order methods for convex functions with a quadratic upper bound.

Performance Estimation of second-order optimization methods on classes of univariate functions Optimal first-order methods for convex functions with a quadratic upper bound

Reference 24

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This paper cites Geometric and Functional Analysis 19(4), 1101–1118 (2009).

Performance Estimation of second-order optimization methods on classes of univariate functions Geometric and Functional Analysis 19(4), 1101–1118 (2009)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:37.558713Z

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This paper cites Advances in Neural Information Processing Systems (NeurIPS) (2022).

Performance Estimation of second-order optimization methods on classes of univariate functions Advances in Neural Information Processing Systems (NeurIPS) (2022)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:37.341165Z

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This paper cites URL https: //www.gurobi.com.

Performance Estimation of second-order optimization methods on classes of univariate functions URL https: //www.gurobi.com

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:37.112796Z

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Observation 47f95822-c64b-4c10-ae32-c43f97b50c2e · outbound

This paper cites Advances in Neural Information Processing Systems 35, 25320–25334 (2022).

Performance Estimation of second-order optimization methods on classes of univariate functions Advances in Neural Information Processing Systems 35, 25320–25334 (2022)

Reference 28

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This paper cites Mathematical Methods of Operations Research 94(2), 253–279 (2021).

Performance Estimation of second-order optimization methods on classes of univariate functions Mathematical Methods of Operations Research 94(2), 253–279 (2021)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:36.781734Z

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This paper cites Optimization Letters 18(3), 847–854 (2024).

Performance Estimation of second-order optimization methods on classes of univariate functions Optimization Letters 18(3), 847–854 (2024)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:36.557133Z

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This paper cites In: 2023 European Control Conference (ECC).

Performance Estimation of second-order optimization methods on classes of univariate functions In: 2023 European Control Conference (ECC)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:36.362517Z

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This paper cites Funda- menta Mathematicae 22(1), 77–108 (1934).

Performance Estimation of second-order optimization methods on classes of univariate functions Funda- menta Mathematicae 22(1), 77–108 (1934)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:36.188397Z

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This paper cites SIAM Journal on Optimization 35(1), 270–301 (2025).

Performance Estimation of second-order optimization methods on classes of univariate functions SIAM Journal on Optimization 35(1), 270–301 (2025)

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:36.010307Z

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Observation 58122c9a-9be4-4e63-b556-1ecd847dfe47 · outbound

This paper cites Advances in Neural Information Processing Systems 36 (2024).

Performance Estimation of second-order optimization methods on classes of univariate functions Advances in Neural Information Processing Systems 36 (2024)

Reference 34

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This paper cites Performance Estimation for Smooth and Strongly Convex Sets.

Performance Estimation of second-order optimization methods on classes of univariate functions Performance Estimation for Smooth and Strongly Convex Sets

Reference 35

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This paper cites SIAM Journal on Optimization 33(3), 1440–1462 (2023).

Performance Estimation of second-order optimization methods on classes of univariate functions SIAM Journal on Optimization 33(3), 1440–1462 (2023)

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:35.632610Z

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Performance Estimation of second-order optimization methods on classes of univariate functions Unresolved cited work

Reference 37

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Observation 6e42ab78-3adf-415b-98ff-79650df50ac5 · outbound

This paper cites SIAM (1994).

Performance Estimation of second-order optimization methods on classes of univariate functions SIAM (1994)

Reference 38

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This paper cites Mathematical programming 108(1), 177–205 (2006).

Performance Estimation of second-order optimization methods on classes of univariate functions Mathematical programming 108(1), 177–205 (2006)

Reference 39

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This paper cites Math- ematical programming 120, 125–145 (2009).

Performance Estimation of second-order optimization methods on classes of univariate functions Math- ematical programming 120, 125–145 (2009)

Reference 40

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This paper cites arXiv preprint arXiv:2406.17506 (2024).

Performance Estimation of second-order optimization methods on classes of univariate functions arXiv preprint arXiv:2406.17506 (2024)

Reference 41

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This paper cites arXiv preprint arXiv:2405.08405 (2024).

Performance Estimation of second-order optimization methods on classes of univariate functions arXiv preprint arXiv:2405.08405 (2024)

Reference 42

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Performance Estimation of second-order optimization methods on classes of univariate functions A constructive approach to strengthen algebraic descriptions of function and operator classes

Reference 43

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This paper cites McGraw-Hill, New York (1976).

Performance Estimation of second-order optimization methods on classes of univariate functions McGraw-Hill, New York (1976)

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:34.659350Z

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This paper cites SIAM Journal on Optimization 30(3), 2251–2271 (2020).

Performance Estimation of second-order optimization methods on classes of univariate functions SIAM Journal on Optimization 30(3), 2251–2271 (2020)

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:34.476786Z

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This paper cites Mathematical Programming 178(1), 145–213 (2019).

Performance Estimation of second-order optimization methods on classes of univariate functions Mathematical Programming 178(1), 145–213 (2019)

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:34.306588Z

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This paper cites In: Conference on Learning Theory, pp.

Performance Estimation of second-order optimization methods on classes of univariate functions In: Conference on Learning Theory, pp

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:34.118378Z

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Performance Estimation of second-order optimization methods on classes of univariate functions Unresolved cited work

Reference 48

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This paper cites Mathematical Programming 161, 307–345 (2017).

Performance Estimation of second-order optimization methods on classes of univariate functions Mathematical Programming 161, 307–345 (2017)

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:33.805022Z

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This paper cites Journal of Optimization Theory and Applications 178, 455–476 (2018).

Performance Estimation of second-order optimization methods on classes of univariate functions Journal of Optimization Theory and Applications 178, 455–476 (2018)

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:33.652912Z

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This paper cites Examples of slow convergence for adaptive regularization optimization methods are not isolated.

Performance Estimation of second-order optimization methods on classes of univariate functions Examples of slow convergence for adaptive regularization optimization methods are not isolated

Reference 51

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Observation 65b06e8a-7138-49cf-b645-9e6afafea058 · outbound

This paper cites American Journal of Mathematics 67(1), 83–93 (1945).

Performance Estimation of second-order optimization methods on classes of univariate functions American Journal of Mathematics 67(1), 83–93 (1945)

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:33.508986Z

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Observation ae54abed-56d2-4d89-800f-95c11b3eb2d4 · outbound

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Performance Estimation of second-order optimization methods on classes of univariate functions Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:33.325539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bfb1beb3-4441-42ad-b303-ddd50a2f7008 · outbound

This paper cites an unresolved cited work.

Performance Estimation of second-order optimization methods on classes of univariate functions Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:33.188708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e31ca62a-e543-4d9d-922c-0ca59e5b054d · outbound

This paper cites The second case for fmax leads to no further constraint.

Performance Estimation of second-order optimization methods on classes of univariate functions The second case for fmax leads to no further constraint

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:33.010901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 86008b7c-082c-46dc-ad1a-91925bc9c7fd · outbound

This paper cites When ∆h12 = ±M ∆x12 : gmax(x) = gmin(x) = g1 + h1∆xx1 ± M 2 ∆x2 x1 = g2 + h2∆xx2 ± M 2 ∆x2 x2.

Performance Estimation of second-order optimization methods on classes of univariate functions When ∆h12 = ±M ∆x12 : gmax(x) = gmin(x) = g1 + h1∆xx1 ± M 2 ∆x2 x1 = g2 + h2∆xx2 ± M 2 ∆x2 x2

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:32.875144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d7dc201a-fdb6-47b5-b66c-0728025855ee · outbound

This paper cites We first observe that gmin interpolates S since gmin(x1) = g1, gmin(x2) = g2, g′ min(x1) = h1 and g′ min(x2) = h2.

Performance Estimation of second-order optimization methods on classes of univariate functions We first observe that gmin interpolates S since gmin(x1) = g1, gmin(x2) = g2, g′ min(x1) = h1 and g′ min(x2) = h2

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:32.731293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cf48dec0-dbcd-486a-b089-cedc5c535089 · outbound

This paper cites Indeed, all conditions follow directly from the definition of g, h, λ0 and λ1 except for (110), i = 1, 2, which become equivalent to (39) and are thus satisfied by assumption on S.

Performance Estimation of second-order optimization methods on classes of univariate functions Indeed, all conditions follow directly from the definition of g, h, λ0 and λ1 except for (110), i = 1, 2, which become equivalent to (39) and are thus satisfied by assumption on S

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:32.395752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ea0d5d45-f374-4fb0-8f4a-a29087bc2cc4 · outbound

This paper cites By Lemma 7, these conditions are equivalent to the conditions of Theorem 5.

Performance Estimation of second-order optimization methods on classes of univariate functions By Lemma 7, these conditions are equivalent to the conditions of Theorem 5

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:32.129163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 87b6612b-e5a3-41db-b8d1-48d2b3fc670d · outbound

This paper cites an unresolved cited work.

Performance Estimation of second-order optimization methods on classes of univariate functions Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:31.826841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 72566a07-542f-4d0a-8ff3-b5adf6890007 · outbound

This paper cites an unresolved cited work.

Performance Estimation of second-order optimization methods on classes of univariate functions Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:31.627260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c1e69b8a-bfc4-4838-ba5c-90ee2e67d3f7 · outbound

This paper cites an unresolved cited work.

Performance Estimation of second-order optimization methods on classes of univariate functions Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:31.335977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 671de18b-3a2b-477f-b9ed-9359da93f376 · outbound

This paper cites an unresolved cited work.

Performance Estimation of second-order optimization methods on classes of univariate functions Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:31.052635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f7d4706f-e72a-40c5-9db6-b9185bc69723 · outbound

This paper cites an unresolved cited work.

Performance Estimation of second-order optimization methods on classes of univariate functions Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:30.796292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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