Convex Optimization

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Convex Optimization

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Convex Sets

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Stochastic Optimization

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Stochastic Smooth Convex Optimization

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Enhanced Byzantine-Robust Federated Learning Via Truncated-Quadratic Loss for Heterogeneous Data
Jul 13, 2026Zhi-Yong Wang, Hao Nan Sheng, Werner Stefan +3Federated Learning Byzantine Attacks
Lower Bound on the Cumulative Constrained Violation for the OGD+Projection algorithm for Constrained Online Convex Optimization (COCO)
Jul 12, 2026Haricharan Balasundaram, Karthick Krishna Mahendran, Rahul VazeConvex Optimization O(T^Β)$ Simultaneous Regret
How much Data do We Need? Sequential Data Collection for Stochastic Programming
Jul 11, 2026Xin Li, Juergen Branke, Xuan Vinh DoanOptimal Stopping Stochastic Optimization
Understanding Schedule-Free Methods in Nonconvex Optimization: Rate Guarantees and Escaping Saddles
Jul 10, 2026Jiseok Chae, Donghwan KimConvex Optimization Convergence Analysis
Nonconvex Composite Functional Constraints via First-Order Augmented Lagrangian Methods under Local Regularity
Jul 9, 2026Linglingzhi Zhu, Jiajin LiPrimal-Dual Methods Nonconvex
Finding a stationary point of a stochastic convex problem
Jul 8, 2026Felipe Areces, John Duchi, Malo SommersStochastic Smooth Convex Optimization
Optimization Geometrodynamics: Variational Reduction and Interaction Curvature
Jul 7, 2026Zavier LiInformation-Geometric Optimization Riemannian Manifolds
A Gradient Flow Perspective on Minimum MMD Estimation
Jul 4, 2026Sophia Seulkee Kang, Louis Sharrock, Xiaoyuan Cheng +2Maximum Mean Discrepancy Proximal Gradient Descent
A simplex-based measure of symmetry
Jul 4, 2026Egor Bakaev, Amir YehudayoffPolytopes Symmetry
Decentralized Stochastic Subgradient-type Methods with Communication Compression for Nonsmooth Nonconvex Optimization
Jul 2, 2026Siyuan Zhang, Nachuan Xiao, Xin LiuStochastic Smooth Convex Optimization Convex Optimization
Revisiting Decentralized Online Convex Optimization with Compressed Communication
Jul 2, 2026Hao Zhou, Xiaoyu Wang, Chang Yao +2Convex Optimization O(T^Β)$ Simultaneous Regret
Search-Based Spatiotemporal and Multi-Robot Motion Planning on Graphs of Space-Time Convex Sets
Jul 1, 2026Jingtao Tang, Zining Mao, Lufan Yang +1Multi-Robot Motion Planning Motion Planners
Constrained Online Convex Optimization without Slater's Condition
Jun 30, 2026Kihyun Yu, Junehee Lee, Dabeen LeeConvex Optimization Stochastic Optimization
ShardNet: Training Neural Controllers with Hard, Non-Convex Constraints
Jun 29, 2026Long Kiu Chung, Shreyas KousikNeural Control Safety Constraints
Privacy-Preserving Decentralized Cooperative Localization with Range-Only Measurements: A Convex Optimization Based Approach
Jun 29, 2026Nitesh Kumar, Reyshwanth Ganeshan, Sixu Li +2Robust Localization Collaborative Perception
A Fast Convergent Algorithm for Solving Non-convex Partially-Decoupled Generalized Nash Equilibrium Problems
Jun 26, 2026Bennet Outland, Vishala AryaZero--Sum Differential Game Nash Equilibrium
Second-Order KKT Guarantees for Bregman ADMM in Nonconvex and Non-Lipschitz Optimization
Jun 26, 2026Shuang Li, Zhihui Zhu, Qiuwei LiConvex Optimization Nonconvex
Difference of Convex Programming in the Wasserstein Space with Applications to MMD Optimization
Jun 26, 2026Clément Bonet, Pierre-Cyril Aubin-Frankowski, Youssef MrouehWasserstein Distance Maximum Mean Discrepancy
Finding Stationary Points by Comparisons
Jun 25, 2026Helin Wang, Chenyi Zhang, Xiwen Tao +2Sharp Joint-Kl Oracle Theory Nonconvex
Is Variational Monte Carlo Robust? Sharp Moment Thresholds and Heavy-tailed Stochastic Optimization
Jun 24, 2026Philipp Grohs, Davide NobileVariational Monte Carlo
Learning Optimization Proxies for Sequential Contextual Stochastic Programs: An Order Fulfillment Application
Jun 24, 2026Tinghan Ye, Shuaicheng Tong, Changkun Guan +2Dynamic Order Fulfillment Operations Stochastic Optimization
Bias-Controlled Primal-Dual Natural Actor-Critic: Optimal Rates for Constrained Multi-Objective Average-Reward RL
Jun 23, 2026Ankur Naskar, Swetha Ganesh, Vaneet AggarwalConstrained Reinforcement Learning Soft Actor-Critic
New Bounds for the Last Iterate of the Stochastic subGradient Method
Jun 23, 2026Guglielmo Beretta, Tommaso Cesari, Roberto Colomboni +1Stochastic Smooth Convex Optimization Large Step Sizes
Clipping the Price of Adaptivity at the Tail
Jun 21, 2026Itai Kreisler, Yair Carmon, Oliver HinderStochastic Smooth Convex Optimization Loss Function
Adam Converges in Nonsmooth Nonconvex Optimization
Jun 21, 2026Zijian LiuAdam Convex Optimization
DUET: Decentralized Bilevel Optimization without Lower-Level Strong Convexity
Jun 19, 2026Zhen Qin, Zhuqing Liu, Songtao Lu +2Bilevel Optimization Decentralization
Stochastic Linear Contextual Bandits with Bounded Noise: A Set-Membership Approach
Jun 18, 2026Haonan Xu, Yingying LiStochastic Optimization Reward Gradients
Deep-Unfolded Coordination
Jun 18, 2026Hunter Kuperman, Minchan Jung, Rahul V. Ghosh +2Multi-Agent Coordination Deep Unfolding Networks
Adversarial Bandit Optimization with Globally Bounded Perturbations to Convex Losses
Jun 18, 2026Zhuoyu Cheng, Kohei Hatano, Eiji TakimotoConvex Optimization Convex Sets
Semiglobal Input-Delay Tolerance Algorithm for Distributed Nonconvex Optimization of Networked Nonlinear Systems
Jun 18, 2026Jing-Zhe Xu, Zhi-Wei Liu, Ming-Feng Ge +2Convex Optimization Convergence Analysis
Private Learning with Public Feature Conditioning
Jun 17, 2026Shuli Jiang, Walid Krichene, Nicolas MayorazDifferential Privacy AI Privacy Risks and Protection
Task Allocation and Motion Planning in Dynamic, Cluttered Environments via CBBA and Graphs of Convex Sets
Jun 16, 2026Matthew D. Osburn, Cameron K. Peterson, John L. SalmonTrajectory Optimization Patient-To-Room Assignment Problem
MGUP: A Momentum-Gradient Alignment Update Policy for Stochastic Optimization
Jun 16, 2026Da Chang, Ganzhao YuanUpdates Stochastic Optimization
Transformer-Based Warm-Starting for Feasible and Optimal Terminal Approach to Tumbling Objects with Space Manipulators
Jun 15, 2026Yuji Takubo, Maximilian Adang, Mac Schwager +1Trajectory Optimization Cold-Start
Accelerated Convex Optimization via Hamiltonian Dynamics with Deterministic Integration Time
Jun 15, 2026Xiuyuan Wang, Vishwak Srinivasan, Qiang Fu +3Convex Optimization Invertible Flows
Decision-Weighted Flow Matching for Contextual Stochastic Optimization
Jun 15, 2026Jize Xie, Haomiao Wu, Qiang Chen +2Conditional Flow Matching Stochastic Optimization
HadBalance: A Plug-and-Play Unified Global Geometric Prior Framework for Generalizable Biomedical Segmentation
Jun 14, 2026Zhuangzhi Gao, Feixiang Zhou, He Zhao +11Medical Image Segmentation Statistical Shape Model
Schattor: Schatten-family methods for deep learning optimization
Jun 14, 2026Bohao Ma, Junyu Zhang, Chuan HeStochastic Optimization Neural Network Optimization
Optimal Hidden-Target Learning for Online Inventory Optimization on General Convex Sets
Jun 12, 2026Anthony Pineci, Yunzong XuMonotonic Inventory Estimation Convex Optimization
Online Convex Optimization with Sublinear Noisy Probes
Jun 12, 2026Simone Di Gregorio, Anupam Gupta, Stefano Leonardi +1O(T^Β)$ Simultaneous Regret Convex Optimization
Adaptive Weighted Averaging
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Learning Unions of Convex Sets via Invertible Latent Decomposition for Path Planning
Jun 10, 2026Taerim Yoon, Dongho Kang, Kisang Park +3Collision-Free Trajectories Polytopes
Last-Iterate Convergence of Optimistic Multiplicative Weight Update
Jun 10, 2026Francesco OrabonaConvex Optimization Convergence
Capacity-Constrained Online Convex Optimization with Delayed Feedback
Jun 10, 2026Alexander Ryabchenko, Idan Attias, Daniel M. RoyO(T^Β)$ Simultaneous Regret Convex Optimization
Range Penalization: Theoretical Insights with Applications in Federated Learning
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Learning What to Remember: Observability-Safe Memory Retention via Constrained Optimization for Long-Horizon Language Agents
Jun 9, 2026Qingcan Kang, Liu Mingyang, Shixiong Kai +3Long-Horizon Agents Long-Term Memory
LEAF: A Learning-Enabled ADMM Framework for Accelerated Convex Optimization
Jun 8, 2026Binh Nguyen, Trinh Tran, Truong X. NghiemConvex Optimization Alternating Direction Method Of Multiplier
Estimate Collapsibility of Causal Effects in Completed Partial DAGs via Strong d-Convex Hulls
Jun 8, 2026Yuxin Deng, Yi Sun, Zhiming Li +1Directed Acyclic Graph Convex Sets
OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality
Jun 7, 2026Ganzhao YuanMuon Optimizer Stochastic Smooth Convex Optimization
Post-AGI Economies: Superposition and the Second Fundamental Theorem of Welfare Economics
Jun 6, 2026Elija PerrierWelfare Economies
Noise-Adaptive High-Probability Regret Bounds for Online Convex Optimization
Jun 6, 2026Wentao Zhang, Yutong Zhang, Wentao MoConvex Optimization Linear Regret
Accelerated Decentralized Stochastic Gradient Descent for Strongly Convex Optimization
Jun 5, 2026Ming Sun, Kun YuanStochastic Smooth Convex Optimization Stochastic Gradient Descent
Adaptive Learning Rates with Surrogate Probability for Follow-the-Perturbed-Leader
Jun 4, 2026Jongyeong Lee, Junya Honda, Shinji Ito +1Learning Rates Bandits
Robust and sparse support vector machine via hybrid truncated loss for supervised classification
Jun 4, 2026Yuliang Yang, Chen Chen, Yuxiang Liu +1Support Vector Machines Multi-View
Diff2SP: Diffusion Models for Correlated Scenario Generation in Stochastic Programming
Jun 4, 2026Haixiang Sun, Andrew LiuScenario Generation Stochastic Optimization
Sharp First-Order Lower Bounds for Higher-Order Smooth Nonconvex Optimization
Jun 3, 2026Dongruo ZhouConvex Optimization Lower Bounds
Near-Optimal Decentralized Stochastic Convex Optimization over Networks
Jun 3, 2026Nitai Kluger, Amit Attia, Tomer KorenStochastic Smooth Convex Optimization Stochastic Approximation
Online Learning with Gradient-Variation Interval Regret
Jun 2, 2026Yan-Feng Xie, Shuche Wang, Peng Zhao +1Learning-Augmented Algorithms Linear Regret
Analytical Evaluation of DCA Convergence Properties for Minimizing Prediction Functions of Gaussian RBF Support Vector Regression
Jun 2, 2026Yohei Kakimoto, Yuto Omae, Hirotaka TakahashiConvex Optimization Radial Basis Function
From Non-Convex to Strongly Convex: Curvature-Adaptive FTPL for Online Optimization
Jun 1, 2026Moses Charikar, Chirag Pabbaraju, Ambuj TewariConvex Optimization Curvature-Aware Quadratic Banks

Jul 13, 2026 · cs.LGJ/K move · Enter open · S save

Enhanced Byzantine-Robust Federated Learning Via Truncated-Quadratic Loss for Heterogeneous Data

Zhi-Yong Wang, Hao Nan Sheng, Werner Stefan, Hing Cheung So+2

Federated learning distributes data among

n

clients, making it vulnerable to malicious attacks and data heterogeneity, which together pose challenges for robust learning. To tackle this issue, centered clipping and Huber aggregators have been exploited for Byzantine robustness. In this paper, we first demonstrate their equivalence via convex conjugate theory, and show that they can yield biased solutions in the presence of outliers, leading to failure under high data heterogeneity and a substantial fraction of outliers. Next, we propose a new robust aggregation rule that utilizes the truncated-quadratic (TQ) loss, effectively mitigating the biases of existing methods, such as centered clipping and Huber aggregators. We show that our aggregator achieves order-optimal Byzantine-robust learning under nonconvex loss functions and heterogeneous data, ultimately enhancing the reliability of federated learning systems. Additionally, we provide a robust deviation estimation strategy for TQ, demonstrating its effectiveness. Furthermore, we show that TQ maintains robustness even when only an estimate of the number of Byzantine clients is available. Finally, experimental results on MNIST, Fashion-MNIST, and CIFAR-10, indicate that our aggregator provides better robustness performance than the competing techniques.

Federated Learning Byzantine Attacks Loss Function Convex Sets

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