ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System | Paper Citation Record

Observation f6ef9406-efa3-4d8c-b600-ce1f5b5ed9c2 · outbound

This paper cites Dual averaging for distributed opti- mization: Convergence analysis and network scaling.IEEE Transactions on Automatic Control, 2011.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Dual averaging for distributed opti- mization: Convergence analysis and network scaling.IEEE Transactions on Automatic Control, 2011

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Observation 8cc13e1e-ccf0-49b5-9d25-1159b3b5ccc0 · outbound

This paper cites On the convergence of decentralized gradient descent.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System On the convergence of decentralized gradient descent

Reference 2

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Observation 0587e309-bdbf-40c7-ad7d-6cc21912692e · outbound

This paper cites Alghunaim and Kun Yuan.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Alghunaim and Kun Yuan

Reference 3

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Observation ea648f7e-91d7-4cec-bf40-ddedaeb87998 · outbound

This paper cites Extra: An exact first-order algorithm for decentralized consensus optimization.SIAM Journal on Optimization, 25(2):944–966, 2015.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Extra: An exact first-order algorithm for decentralized consensus optimization.SIAM Journal on Optimization, 25(2):944–966, 2015

Reference 4

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ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Unresolved cited work

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Observation 64229ba4-9a95-46ed-82da-4083ac4b5982 · outbound

This paper cites Orthogonal weight normalization: Solution to optimization over multiple dependent stiefel manifolds in deep neural networks.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Orthogonal weight normalization: Solution to optimization over multiple dependent stiefel manifolds in deep neural networks

Reference 6

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Observation f8dd9003-c9ae-4d8c-ae25-18e52d983c87 · outbound

This paper cites Riemannian approach to batch normalization.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Riemannian approach to batch normalization

Reference 7

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Observation 7e52db91-8d00-4cf5-9908-c741ef90aabd · outbound

This paper cites Riemannian Preconditioned LoRA for Fine-Tuning Foundation Models.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Riemannian Preconditioned LoRA for Fine-Tuning Foundation Models

Reference 8

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Observation e2fc6852-cdb4-46b1-b925-ec78c90db820 · outbound

This paper cites An updated set of basic linear algebra subprograms (blas).ACM Transactions on Mathematical Software, 28(2):135–151, 2002.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System An updated set of basic linear algebra subprograms (blas).ACM Transactions on Mathematical Software, 28(2):135–151, 2002

Reference 9

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This paper cites an unresolved cited work.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Unresolved cited work

Reference 10

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Observation 3662809b-f2a3-4cd2-9740-96bfa4db0462 · outbound

This paper cites D2: Decentralized training over decentralized data.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System D2: Decentralized training over decentralized data

Reference 11

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Observation 995e8892-ca49-4436-8f26-b143107cd5ac · outbound

This paper cites S-diging: A stochastic gradient tracking algorithm for distributed optimization.IEEE Transactions on Emerging Topics in Computational Intelligence, 2020.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System S-diging: A stochastic gradient tracking algorithm for distributed optimization.IEEE Transactions on Emerging Topics in Computational Intelligence, 2020

Reference 12

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Observation 5b123cbf-7724-43e6-ab50-4b6d01e1cfea · outbound

This paper cites Distributed stochastic gradient tracking methods.Mathematical Programming, 2021.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Distributed stochastic gradient tracking methods.Mathematical Programming, 2021

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Observation 1a816fbd-ee4e-473c-9d6a-1dc2a59b94d4 · outbound

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ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Unresolved cited work

Reference 14

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This paper cites an unresolved cited work.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Unresolved cited work

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Observation 9ca70b27-3d38-4f86-b77a-8adb152d5447 · outbound

This paper cites Prox-pda: The proximal primal- dual algorithm for fast distributed nonconvex optimization and learning over networks.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Prox-pda: The proximal primal- dual algorithm for fast distributed nonconvex optimization and learning over networks

Reference 16

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Observation 94f04c69-5dc1-4c54-ae74-ef1a89b00e5b · outbound

This paper cites Alghunaim, and Xinmeng Huang.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Alghunaim, and Xinmeng Huang

Reference 17

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Observation 976cbeff-b6a1-4669-8e41-74b717e96440 · outbound

This paper cites Next: In-network nonconvex optimization.IEEE Transactions on Signal and Information Processing over Networks, 2016.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Next: In-network nonconvex optimization.IEEE Transactions on Signal and Information Processing over Networks, 2016

Reference 18

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Observation 1689e4f3-9715-4330-a89c-87b6bf75b563 · outbound

This paper cites Stich, and Martin Jaggi.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Stich, and Martin Jaggi

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Observation 1229217d-d43b-40cf-ae11-713a34b9de0f · outbound

This paper cites Unbiased compression saves communication in distributed optimization: When and how much? InAdvances in Neural Information Pro- cessing Systems, 2023.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Unbiased compression saves communication in distributed optimization: When and how much? InAdvances in Neural Information Pro- cessing Systems, 2023

Reference 20

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Observation 270c940c-e6ae-41bb-8342-8deb7edd2921 · outbound

This paper cites Greedy low-rank gradi- ent compression for distributed learning with convergence guarantees.IEEE Transactions on Signal Processing, 2026.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Greedy low-rank gradi- ent compression for distributed learning with convergence guarantees.IEEE Transactions on Signal Processing, 2026

Reference 21

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Observation 615f1471-e4bb-4ad6-bfa1-88592c54f8a1 · outbound

This paper cites On biased compression for distributed learning.Journal of Machine Learning Research, 2023.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System On biased compression for distributed learning.Journal of Machine Learning Research, 2023

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Observation 66cd69f8-5f76-41e2-8743-c25f4645934a · outbound

This paper cites Error compensated distributed sgd can be accelerated.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Error compensated distributed sgd can be accelerated

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Observation a489c377-e398-4be8-8d85-0d2135110c11 · outbound

This paper cites Achieving geometric convergence for dis- tributed optimization over time-varying graphs.SIAM Journal on Optimization, 2016.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Achieving geometric convergence for dis- tributed optimization over time-varying graphs.SIAM Journal on Optimization, 2016

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Observation 0d50b7fe-6236-400c-82a8-e50eab0ceff6 · outbound

This paper cites Understanding the influence of digraphs on decentralized optimization: Effective metrics, lower bound, and optimal algo- rithm.SIAM Journal on Optimization, 2025.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Understanding the influence of digraphs on decentralized optimization: Effective metrics, lower bound, and optimal algo- rithm.SIAM Journal on Optimization, 2025

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Observation 96a8dbb9-f5df-4332-b4f0-3ddbb8d47a1f · outbound

This paper cites Alghunaim.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Alghunaim

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Observation 5db36194-edfc-413e-95e6-c034edfbdb78 · outbound

This paper cites Exponential graph is provably efficient for decentralized deep training.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Exponential graph is provably efficient for decentralized deep training

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Observation 8ba63d95-ba23-471c-a3be-a352f092fed2 · outbound

This paper cites Decentralized riemannian gradient descent on the stiefel manifold.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Decentralized riemannian gradient descent on the stiefel manifold

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Observation 362e3745-989b-453a-a71d-0c59d36c9737 · outbound

This paper cites Decentralized projected riemannian gradient method for smooth optimization on compact submanifolds embedded in the euclidean space.Nu- merische Mathematik, 2025.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Decentralized projected riemannian gradient method for smooth optimization on compact submanifolds embedded in the euclidean space.Nu- merische Mathematik, 2025

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Observation 55c10c4a-e48f-4194-bc8b-c0123db14b3b · outbound

This paper cites A decentralized proximal gradient tracking algorithm for composite optimization on riemannian manifolds.Journal of Machine Learning Research, 2025.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System A decentralized proximal gradient tracking algorithm for composite optimization on riemannian manifolds.Journal of Machine Learning Research, 2025

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Observation e01ba58e-e246-4b08-8ef8-0f0bf1378e09 · outbound

This paper cites Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity

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Observation 41366183-8376-4d70-85e6-b0ab8252956d · outbound

This paper cites Decentralized optimization on compact submanifolds by quantized riemannian gradient tracking.IEEE Transactions on Signal Processing, 2025.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Decentralized optimization on compact submanifolds by quantized riemannian gradient tracking.IEEE Transactions on Signal Processing, 2025

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Observation 8bd987cd-26a9-4e17-8a15-b53dfeeacfb4 · outbound

This paper cites Improving the communication in decentralized manifold optimization through single-step consensus and compression.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Improving the communication in decentralized manifold optimization through single-step consensus and compression

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Observation ee7b13fd-0fcd-42a4-912c-6e7724fde7a3 · outbound

This paper cites Decentralized projected riemannian stochastic recursive momentum method for nonconvex optimization.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Decentralized projected riemannian stochastic recursive momentum method for nonconvex optimization

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Observation a8e4665f-5d23-44e0-a4e9-28790644be90 · outbound

This paper cites Decentralized Riemannian Conjugate Gradient Method on the Stiefel Manifold.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Decentralized Riemannian Conjugate Gradient Method on the Stiefel Manifold

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Observation 67aee950-acae-44d9-a0ac-c944c8de413c · outbound

This paper cites Decentralized riemannian natural gradient methods with kronecker product approximations.Journal of the Operations Research Society of China, 2025.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Decentralized riemannian natural gradient methods with kronecker product approximations.Journal of the Operations Research Society of China, 2025

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Observation 108c7e4b-2553-4ad2-b839-67a777d3e38c · outbound

This paper cites On the local linear rate of consensus on the stiefel manifold.IEEE Transactions on Automatic Control, 2023.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System On the local linear rate of consensus on the stiefel manifold.IEEE Transactions on Automatic Control, 2023

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Observation a61139dd-d7b6-4dfd-823e-94a21a388468 · outbound

This paper cites Riemannian consensus for manifolds with bounded curvature.IEEE Transactions on Automatic Control, 2012.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Riemannian consensus for manifolds with bounded curvature.IEEE Transactions on Automatic Control, 2012

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Observation c79d6164-e2e6-4581-8ba6-536970eaf89a · outbound

This paper cites Consensus optimization on manifolds.SIAM Journal on Control and Optimization, 2009.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Consensus optimization on manifolds.SIAM Journal on Control and Optimization, 2009

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Observation 176f2881-e463-490e-a286-3260ba8bda2d · outbound

This paper cites Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

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Observation c34764d2-3c71-4690-9b64-93b351715ba2 · outbound

This paper cites Decentralized optimization over the stiefel manifold by an approxi- mate augmented lagrangian function.IEEE Transactions on Signal Processing, 2022.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Decentralized optimization over the stiefel manifold by an approxi- mate augmented lagrangian function.IEEE Transactions on Signal Processing, 2022

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Observation 91f7af32-7abf-4c24-9b93-72eaf970c562 · outbound

This paper cites Fast and accurate optimization on the orthogonal manifold without retraction.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Fast and accurate optimization on the orthogonal manifold without retraction

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Observation c8a12068-794f-4750-9ebe-b911555bd2ab · outbound

This paper cites Parallelizable algorithms for optimization problems with orthogonality constraints.SIAM Journal on Scientific Computing, 41(3):A1949–A1983, 2019.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Parallelizable algorithms for optimization problems with orthogonality constraints.SIAM Journal on Scientific Computing, 41(3):A1949–A1983, 2019

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Observation 5a8ed67e-1c70-4097-9e94-14b590ff6e51 · outbound

This paper cites Local linear conver- gence of infeasible optimization with orthogonal constraints.IEEE Control Systems Letters, 2024.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Local linear conver- gence of infeasible optimization with orthogonal constraints.IEEE Control Systems Letters, 2024

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Observation 8f3f0816-6a94-4351-b52b-be9b58692aad · outbound

This paper cites Dissolving constraints for riemannian opti- mization.Mathematics of Operations Research, 2024.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Dissolving constraints for riemannian opti- mization.Mathematics of Operations Research, 2024

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Observation 55e126a4-62fd-4ee0-b012-750c4a6847c0 · outbound

This paper cites Horn and Charles R.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Horn and Charles R

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Observation 513ef9dd-51fe-4ef0-92b8-d702dd36c6db · outbound

This paper cites Convergence analysis of extra in non-convex distributed optimization.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Convergence analysis of extra in non-convex distributed optimization

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