Paper Citation Record · LEDGER

High-Dimensional Private Linear Regression with Optimal Rates

As of 4 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2505.16329.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.16329 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T02:50:09.196457Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T02:59:24.291232Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

verified exact19
verified fuzzy11
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d38aaf9c-16dd-4a35-b196-f208f34ceb36 · outbound

This paper cites Differentially private inference via noisy optimiza- tion.The Annals of Statistics, 51(5):2067–2092.

High-Dimensional Private Linear Regression with Optimal Rates Differentially private inference via noisy optimiza- tion.The Annals of Statistics, 51(5):2067–2092

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.797556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 8a7b69b4-4f13-409d-8be9-952e544defac · outbound

This paper cites Privacy and Statistical Risk: Formalisms and Minimax Bounds.

High-Dimensional Private Linear Regression with Optimal Rates Privacy and Statistical Risk: Formalisms and Minimax Bounds

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-22T02:50:58.350969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 8f3e3c24-9f50-4dc0-a3a7-7523e3ef3d6f · outbound

This paper cites Raef Bassily, Adam Smith, and Abhradeep Thakurta.

High-Dimensional Private Linear Regression with Optimal Rates Raef Bassily, Adam Smith, and Abhradeep Thakurta

Reference 3

Resolution: verified exact; doi, observed 2026-05-22T02:50:57.120586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 68e271a1-633f-4e0b-a546-7d1be03ef33b · outbound

This paper cites Gavin R Brown, Krishnamurthy Dj Dvijotham, Georgina Evans, Daogao Liu, Adam Smith, and Abhradeep Guha Thakurta.

High-Dimensional Private Linear Regression with Optimal Rates Gavin R Brown, Krishnamurthy Dj Dvijotham, Georgina Evans, Daogao Liu, Adam Smith, and Abhradeep Guha Thakurta

Reference 4

Resolution: verified exact; doi, observed 2026-05-22T02:50:57.128958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2ee9c5d9-240c-4168-8804-eb90e249943c · outbound

This paper cites Score Attack: A Lower Bound Technique for Optimal Differentially Private Learning.

High-Dimensional Private Linear Regression with Optimal Rates Score Attack: A Lower Bound Technique for Optimal Differentially Private Learning

Reference 5

Resolution: metadata mismatch; arxiv_id, observed 2026-05-22T02:50:58.345962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 622da2b9-4bfc-4c62-aa5d-fec0777a785b · outbound

This paper cites The high-dimensional asymptotics of first order methods with random data.

High-Dimensional Private Linear Regression with Optimal Rates The high-dimensional asymptotics of first order methods with random data

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-05-22T02:50:58.340071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation fa8b6a9c-624a-4cf6-bd6a-ca534801877a · outbound

This paper cites Elizabeth Collins-Woodfin and Inbar Seroussi.

High-Dimensional Private Linear Regression with Optimal Rates Elizabeth Collins-Woodfin and Inbar Seroussi

Reference 7

Resolution: verified exact; doi, observed 2026-05-22T02:50:57.133514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5dbb3301-e9dc-4043-b510-25d29476f6ae · outbound

This paper cites Hitting the high- dimensional notes: an ode for sgd learning dynamics on glms and multi-index models.Information and Inference: A Journal of the IMA, 13(4):iaae028, 2024a.

High-Dimensional Private Linear Regression with Optimal Rates Hitting the high- dimensional notes: an ode for sgd learning dynamics on glms and multi-index models.Information and Inference: A Journal of the IMA, 13(4):iaae028, 2024a

Reference 8

Resolution: verified exact; doi, observed 2026-05-22T02:50:57.115811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c1c958e7-f99a-485e-8294-e6b1f52ac13c · outbound

This paper cites Unlocking High-Accuracy Differentially Private Image Classification through Scale.

High-Dimensional Private Linear Regression with Optimal Rates Unlocking High-Accuracy Differentially Private Image Classification through Scale

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:50:58.355872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3be55d1c-3c7a-4c3c-addf-bd53ff343d9a · outbound

This paper cites Calibrating noise to sensitivity in private data analysis.

High-Dimensional Private Linear Regression with Optimal Rates Calibrating noise to sensitivity in private data analysis

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.801178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ae57d6f7-7006-4ed9-a413-209727698fa3 · outbound

This paper cites Private stochastic convex optimization: optimal rates in linear time.

High-Dimensional Private Linear Regression with Optimal Rates Private stochastic convex optimization: optimal rates in linear time

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.786440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2ca7ff23-9c32-4e72-b715-003af0feff4d · outbound

This paper cites Differential Privacy and Fairness in Decisions and Learning Tasks: A Survey.

High-Dimensional Private Linear Regression with Optimal Rates Differential Privacy and Fairness in Decisions and Learning Tasks: A Survey

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:50:58.330219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3c72a0cc-96f8-42ae-a3d6-ee57c1ebb349 · outbound

This paper cites Entrywise dynamics and universality of general first order methods.

High-Dimensional Private Linear Regression with Optimal Rates Entrywise dynamics and universality of general first order methods

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:50:58.319223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3546819a-4208-4e15-84ce-5dd72d7a4bd7 · outbound

This paper cites an unresolved cited work.

High-Dimensional Private Linear Regression with Optimal Rates Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-22T02:50:58.782674Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 4761dd50-bc25-4edb-836e-3c3893aa3527 · outbound

This paper cites Minimax test and neyman-pearson lemma for capacities.

High-Dimensional Private Linear Regression with Optimal Rates Minimax test and neyman-pearson lemma for capacities

Reference 15

Resolution: metadata mismatch; arxiv_id, observed 2026-05-22T02:50:57.140786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6fb87260-1c34-40c0-a695-362ab9aef071 · outbound

This paper cites Scaling Laws for Neural Language Models.

High-Dimensional Private Linear Regression with Optimal Rates Scaling Laws for Neural Language Models

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-05-22T02:50:58.308566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f6c4a4ce-299a-4ae2-adc1-1d748e326c40 · outbound

This paper cites Toward Training at ImageNet Scale with Differential Privacy.

High-Dimensional Private Linear Regression with Optimal Rates Toward Training at ImageNet Scale with Differential Privacy

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:50:58.314431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ee108f0f-8317-4922-bcd0-d82246021465 · outbound

This paper cites Improved scaling laws in linear regression via data reuse.

High-Dimensional Private Linear Regression with Optimal Rates Improved scaling laws in linear regression via data reuse

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:50:58.324851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 629c9eb3-66de-4892-a8d2-0135ea09d741 · outbound

This paper cites Scaling Laws for Differentially Private Language Models.

High-Dimensional Private Linear Regression with Optimal Rates Scaling Laws for Differentially Private Language Models

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:50:58.335502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 7d0defbc-33e8-4fc2-bd5d-c2b7cb200a77 · outbound

This paper cites Courtney Paquette, Elliot Paquette, Ben Adlam, and Jeffrey Pennington.

High-Dimensional Private Linear Regression with Optimal Rates Courtney Paquette, Elliot Paquette, Ben Adlam, and Jeffrey Pennington

Reference 20

Resolution: verified exact; doi, observed 2026-05-22T02:50:57.110808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b44b6a6b-f6f1-4850-b781-1fd00f504a51 · outbound

This paper cites Homogenization of sgd in high- dimensions: exact dynamics and generalization properties.Mathematical Programming, 2024a.

High-Dimensional Private Linear Regression with Optimal Rates Homogenization of sgd in high- dimensions: exact dynamics and generalization properties.Mathematical Programming, 2024a

Reference 21

Resolution: verified exact; doi, observed 2026-05-22T02:50:57.124973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1666cd4d-4b50-4b14-9cfd-52f3d5ad7e36 · outbound

This paper cites A framework to characterize performance of LASSO algorithms.

High-Dimensional Private Linear Regression with Optimal Rates A framework to characterize performance of LASSO algorithms

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-05-22T02:50:58.303163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 8176e01a-8af2-4446-8040-e127c537d49c · outbound

This paper cites Tim Van Erven and Peter Harremos.

High-Dimensional Private Linear Regression with Optimal Rates Tim Van Erven and Peter Harremos

Reference 23

Resolution: verified exact; doi, observed 2026-05-22T02:50:57.145755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e956d48d-ee31-4fa8-9343-868f539bf48f · outbound

This paper cites Revisiting differentially private linear regression: optimal and adaptive prediction & estimation in unbounded domain.

High-Dimensional Private Linear Regression with Optimal Rates Revisiting differentially private linear regression: optimal and adaptive prediction & estimation in unbounded domain

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-05-22T02:50:58.297153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d17dc038-f870-40b9-9430-e00003849cfb · outbound

This paper cites Improved Scaling Laws via Weak-to-Strong Generalization in Random Feature Ridge Regression.

High-Dimensional Private Linear Regression with Optimal Rates Improved Scaling Laws via Weak-to-Strong Generalization in Random Feature Ridge Regression

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-26T03:04:13.034465Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation addbbc46-c325-41ea-999a-c0d9c8e39bc1 · outbound

This paper cites an unresolved cited work.

High-Dimensional Private Linear Regression with Optimal Rates Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-05-22T02:50:58.772537Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9a724ac5-3ebc-4908-a90e-d7375592958c · outbound

This paper cites an unresolved cited work.

High-Dimensional Private Linear Regression with Optimal Rates Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-05-22T02:50:58.776001Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f9ef2446-2609-4b12-98e2-17a62a2e1c89 · outbound

This paper cites Proof.Consider the notationu k =θ k −θ ∗.

High-Dimensional Private Linear Regression with Optimal Rates Proof.Consider the notationu k =θ k −θ ∗

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.779698Z

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Observation 8874a4d1-9ab2-4fa6-a6da-c32460aafc18 · outbound

This paper cites an unresolved cited work.

High-Dimensional Private Linear Regression with Optimal Rates Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-05-22T02:50:58.790001Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 174ada48-36d0-4f3c-9237-784bb2e28f26 · outbound

This paper cites Then, following Lemma 3 in Marshall et al.

High-Dimensional Private Linear Regression with Optimal Rates Then, following Lemma 3 in Marshall et al

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.761427Z

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Observation 863b430d-c769-42df-a759-9ead95cf1712 · outbound

This paper cites an unresolved cited work.

High-Dimensional Private Linear Regression with Optimal Rates Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-05-22T02:50:58.757939Z

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Observation 81bf815a-e88d-47a9-a063-24cf1611e951 · outbound

This paper cites We, therefore, have that∥ 1 n2 ⟨b⊗2 k −I d, Ck⟩∥ψ1 ≤Cn −1,for some constantC(ρ, c, C η,1)>0.

High-Dimensional Private Linear Regression with Optimal Rates We, therefore, have that∥ 1 n2 ⟨b⊗2 k −I d, Ck⟩∥ψ1 ≤Cn −1,for some constantC(ρ, c, C η,1)>0

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.765201Z

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Observation 182304c1-0e88-462d-8401-bfb2a1002da9 · outbound

This paper cites an unresolved cited work.

High-Dimensional Private Linear Regression with Optimal Rates Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-05-22T02:50:58.750808Z

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Observation 4391e6b6-83f5-4e7b-9b63-1b529219518c · outbound

This paper cites The quadratic variation of the martingale is then bounded a.s.

High-Dimensional Private Linear Regression with Optimal Rates The quadratic variation of the martingale is then bounded a.s

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.793729Z

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Observation 9f011332-52b3-41a5-b0b2-27cdff6a7566 · outbound

This paper cites an unresolved cited work.

High-Dimensional Private Linear Regression with Optimal Rates Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-05-22T02:50:58.747408Z

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Observation 976fc74d-faa8-420d-a4d0-f41a592ad735 · outbound

This paper cites an unresolved cited work.

High-Dimensional Private Linear Regression with Optimal Rates Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-05-22T02:50:58.754419Z

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Observation 88cc0a68-b168-4dc9-aa92-6dbd1f673c07 · outbound

This paper cites This is a direct application of Theorem 1.3 in Teschl [2012].

High-Dimensional Private Linear Regression with Optimal Rates This is a direct application of Theorem 1.3 in Teschl [2012]

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.768892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0ebfd970-39db-44dd-9b3a-cd972f02641c · outbound

This paper cites R ′ (t∗) = 0and R ′ (t) < 0for all t∈ (t∗, t∗ + δ).

High-Dimensional Private Linear Regression with Optimal Rates R ′ (t∗) = 0and R ′ (t) < 0for all t∈ (t∗, t∗ + δ)

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.740807Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 19396084-72ce-46b3-ade1-12d18c99cf2e · outbound

This paper cites an unresolved cited work.

High-Dimensional Private Linear Regression with Optimal Rates Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-05-22T02:50:58.744440Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3ee12e44-03c0-47e2-80a9-bfabeb173d8d · outbound

This paper cites ∂ ∂θ ∗ j gj(θ∗) # =E θ∗ j.

High-Dimensional Private Linear Regression with Optimal Rates ∂ ∂θ ∗ j gj(θ∗) # =E θ∗ j

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.733260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c5b1f7de-b661-4a5b-b425-a47e8825a53d · outbound

This paper cites an unresolved cited work.

High-Dimensional Private Linear Regression with Optimal Rates Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-05-22T02:50:58.729741Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 27fc0a4d-2da6-44dd-9844-81cb98eb77d1 · outbound

This paper cites (E.8) Furthermore, again due to Lemma B.2, sincec≲ 1, we havec2 ≍ν c(R(s))(R(s) +ζ2/2).

High-Dimensional Private Linear Regression with Optimal Rates (E.8) Furthermore, again due to Lemma B.2, sincec≲ 1, we havec2 ≍ν c(R(s))(R(s) +ζ2/2)

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T02:50:58.737215Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

Observation 46645730-00d9-4fa2-9231-a58b924248c1 · inbound

Near-optimal node-private community estimation in polynomial-time cites this paper.

Near-optimal node-private community estimation in polynomial-time High-Dimensional Private Linear Regression with Optimal Rates

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-13T02:59:24.291232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.