Fixed-Point Iteration

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4 papers in the last four weeks, against 2 the four weeks before. 0.0% of all new papers.

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Hybrid Joint-Selective Optimization: Reduced-Space Levenberg-Marquardt Refinement of Low-Dimensional Parameters of Interest
Sep 29, 2026Muhammad Luthfi Shahab, Gabriella Alfa Indahsari, Imam Mukhlash +1Newton Fixed-Point Iteration
Department of Mathematics, Institut Teknologi Sepuluh Nopember, Surabaya, 60111, Indonesia · Department of Mathematics, Khalifa University of Science & Technology, Abu Dhabi, PO Box 127788, United Arab Emirates
A Hybrid Iterative Deep Ritz Method for Elliptic Interface Problems
Sep 23, 2026Tianhao Hu, Bangti Jin, Fengru Wang +1Neural Solvers Variational Formulation
Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong · Department of Mathematics & Scientific Computing Key Laboratory of Shanghai Universities, Shanghai Normal University, Shanghai 200234, China.
The fixed-point bundle method over product-of-simplex domains arising from game equilibria
Sep 14, 2026Hongbo SunMonotone Variational Inequalities Nash Equilibrium
Hongbo Sun∗
Oracle Complexity of Stochastic Fixed-Point Equations with Nonexpansive Maps
Sep 8, 2026Jelena Diakonikolas, Cristóbal Guzmán, David Martínez-RubioFirst Order Oracle Complexity Fixed-Point Iteration
Department of Computer Sciences, University of Wisconsin-Madison · Institute for Mathematical and Computational Engineering, Faculty of Mathematics and School of Engineering, Pontificia Universidad Católica de Chile, Santiago, Chile · IMDEA Software Institute, Madrid, Spain
Projected Riemannian Gradient Descent for the Bures-Wasserstein Barycenter: Dimension-Independent Linear Convergence at Unit Step Size
Sep 3, 2026A. AfhamRiemannian Optimization Wasserstein Distance
Centre for Quantum Technologies, National University of Singapore, Singapore
Basins of Attraction to Multiple Fixed Points in Discrete-time Hysteresis Neural Networks
Aug 24, 2026Yuta Arai, Seigo Nakamura, Ryoga Nakamura +2Basin Fixed-Point Iteration
Hosei University, Koganei, Tokyo, Japan
Automated Numerical Stability Analysis of Deep Learning Operators
Jul 28, 2026Xinye ChenNeural Operators Fixed-Point Iteration
Sorbonne Université, CNRS, LIP6, France
Convergence analysis of a family of Zermelo-type iterations for the Bradley--Terry model
Jul 24, 2026Ruijian Han, Ding Lu, Yiming XuConvergence Maximum Likelihood
Department of Data Science and Artificial Intelligence, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong SAR · Department of Mathematics, University of Kentucky, Lexington, KY, 40506, USA
Multiplicity of Stable Attractors in Disordered Neural Models
Jul 24, 2026Raffaele Marino, Roberto Livi, Antonio PolitiAttractors Neural Ordinary Differential Equations
Butterfly Decisions srl, Via dei Principati 74 - 84122 Salerno, Italy · University of Florence, Department of Physics and Astronomy, Via G. Sansone 1 - 50019 Sesto Fiorentino (FI), Italy and Istituto dei Sistemi Complessi, CNR, Via Madonna del Piano 10 – 50019 Sesto Fiorentino (FI), Italy · Istituto dei Sistemi Complessi, CNR, Via Madonna del Piano 10 – 50019 Sesto Fiorentino (FI), Italy and Institute of Pure and Applied Mathematics, Department of Physics, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
Exact ReLU realization of affine one-dimensional refinement iterates via residual memory and offset frames
Jul 22, 2026Boldsaikhan Bolorkhuu, Tsogtgerel GantumurAffine Rectified Linear Unit
2National University of Mongolia · 1McGill University · Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences
Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics
Jul 21, 2026Snigdha Chandan KhilarFixed-Point Iteration Chronic Kidney Disease
Independent Researcher
Per-Token Fixed-Point Convergence in Depth-Recurrent Transformers
Jul 15, 2026Joe LoganRecurrent Model Recurrent State
Independent researcher
Non-Expansive Two-Time-Scale Stochastic Approximation: A Fixed-Schedule One-Quarter Barrier and Bias-Corrected Acceleration
Jul 15, 2026Dhruv Sarkar, Vaneet AggarwalStochastic Approximation Fixed-Point Iteration
Indian Institute of Technology Kharagpur · Mohamed bin Zayed University of Artificial Intelligence · Purdue University
Solving Stochastic Fixed-Point Equations with High Probability
Jul 10, 2026Jelena DiakonikolasFixed-Point Iteration Stochastic Approximation
Department of Computer Sciences University of Wisconsin-Madison
Self-conditioned Flow Map Language Models via Fixed-point Flows
Jul 1, 2026Jaehoon Yoo, Wonjung Kim, Floor Eijkelboom +4Latent Flow Text-Conditioned Diffusion Model
KAIST · University of Amsterdam · Carnegie Mellon University
Root-Selecting Fixed-Point Inversion for Rectified Flows via Trajectory Straightness
Jun 16, 2026Semin Kim, Jihwan Yoon, Seunghoon HongRectified Flow Diffusion Inversion
KAIST
Rank Collapse, Fixed Points, and the Renormalization Group Structure of MLP Residual Networks
Jun 9, 2026Parviz Haggi-Mani, Irina RishResidual Networks Renormalization Group
Universit´e de Montr´eal · Mila - Quebec AI Institute
Nonlinear Bayesian Estimator for Parameter Learning: A Fixed-Point Characterization
Jun 8, 2026Sasan Vakili, Daniël Woonings, Pradyumna Paruchuri +1State Estimation Fixed-Point Iteration
Delft University of Technology, The Netherlands · University of Toronto, Canada
FuseFSS: Efficient Secure LLM Inference with Function Secret Sharing
Jun 8, 2026Yuhan Ma, Yong Li, Stefan SchmidLLM Inference Optimization Fixed-Point Iteration
Huawei Heisenberg Research Center, Huawei Technologies Düsseldorf GmbH, Düsseldorf, Germany · Technische Univer-sität Berlin, Berlin, Germany
Uniform Stability and Generalization Error of GD and SGD on Fixed-Point Parameters
Jun 5, 2026Jonghyun Shin, Sejun ParkStochastic Gradient Descent Generalization Bounds
Department of Artificial Intelligence Korea University Seoul, Korea
Fixed-Point Masked Generative Modeling
May 29, 2026Andrea Miele, Yiming Qin, Alba Carballo-Castro +2Masked Diffusion Language Models Generative Models
LTS4, EPFL · CLAIRE, EPFL
A Lecture Note on Offline RL and IRL, Part II: Foundations of Inverse Reinforcement Learning and Dynamic Discrete Choice Models
May 29, 2026Enoch Hyunwook KangOffline Reinforcement Learning Entropy Regularized Reinforcement Learning
University of Washington, Foster School of Business
Beyond Fixed Points: Superpolynomial Capacity of Asymmetric Hopfield Networks
May 23, 2026Aakash Kumar, Anatoly Khina, Frederik Mallmann-Trenn +1Hopfield Networks Attractors
COATI, CNRS, Inria, I3S, Université Côte d’Azur, France · School of Electrical and Computer Engineering, Tel Aviv University, Israel · Department of Informatics, King’s College London, UK +1
Iterative Refinement Neural Operators are Learned Fixed-Point Solvers: A Principled Approach to Spectral Bias Mitigation
May 21, 2026Xiaotian Liu, Shuyuan Shang, Xiaopeng Wang +2Classical Numerical Solver Iterative Refinement
1Dartmouth College · 2CUHK Shenzhen · 3Lawrence Berkeley National Lab
When Stronger Triggers Backfire: A High-Dimensional Theory of Backdoor Attacks
May 21, 2026Donald Flynn, Hadas Yaron Goldhirsh, Jonathan P. Keating +1Convex Loss Theory
1Mathematical Institute, University of Oxford · School of Mathematical Science, Tel Aviv University · School of Mathematical Science and Computer Science, Tel Aviv University
One-Step Distillation of Discrete Diffusion Image Generators via Fixed-Point Iteration
May 20, 2026Chaoyang Wang, Yunhai TongDiffusion Models Probe-Logit Distillation
Peking University
Implicit Neural Optimal Transport via Fixed-Point Optimization
May 11, 2026Yesom Park, Eric Gelphman, Stanley Osher +1Neural Network Optimization Primal-Dual Methods
Department of Mathematics, University of California, Los Angeles · Department of Applied Mathematics and Statistics, Colorado School of Mines
Exact Fixed-Point Constraints in Neural-ODEs with Provable Universality
May 11, 2026Feliciano Giuseppe Pacifico, Duccio Fanelli, Lorenzo Buffoni +3Neural Ordinary Differential Equations Fixed-Point Iteration
Department of Informatics and Computer Science, University of Pisa, Italy · Department of Physics and Astronomy and INFN, University of Florence, Sesto Fiorentino, Italy
Core-Halo Decomposition: Decentralizing Large-Scale Fixed-Point Problems
May 9, 2026Haixiang, Yang Xu, Jiefu Zhang +4Decentralized Autonomous Organization Fixed-Point Iteration
Purdue University · The University of Hong Kong · Johns Hopkins University
Inference of Online Newton Methods with Nesterov's Accelerated Sketching
Apr 25, 2026Haoxuan Wang, Xinchen Du, Sen NaNewton Momentum Stochastic Gradient Descent
School of Industrial and Systems Engineering, Georgia Institute of Technology.
Stability and Generalization in Looped Transformers
Apr 16, 2026Asher LabovichTransformer Architectures Fixed-Point Iteration
Learning Latent Graph Geometry via Fixed-Point Schrödinger-Type Activation: A Theoretical Study
Jul 27, 2025Dmitry Pasechnyuk-Vilensky, Martin TakáčDiscriminative Congruence Transform Differentiable Optimization
MBZUAI, UAE

Sep 29, 2026, math.NAJ/K move · Enter open · S save

Hybrid Joint-Selective Optimization: Reduced-Space Levenberg-Marquardt Refinement of Low-Dimensional Parameters of Interest

Muhammad Luthfi Shahab, Gabriella Alfa Indahsari, Imam Mukhlash, Hadi Susanto

Department of Mathematics, Institut Teknologi Sepuluh Nopember, Surabaya, 60111, Indonesia · Department of Mathematics, Khalifa University of Science & Technology, Abu Dhabi, PO Box 127788, United Arab Emirates

Newton Fixed-Point Iteration Mathematical Finance

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This paper introduces a hybrid joint-selective optimization (HJSO) framework for large-scale numerical problems in which a small subset of trainable quantities is of primary interest. We partition the full parameter vector into a high-dimensional remaining block and a low-dimensional block of parameters of interest (POIs), perform joint first-order optimization over the full parameter set, and then freeze the remaining variables while applying a reduced-space Levenberg-Marquardt (LM) refinement to the POIs. The method is designed for settings in which the POIs are low-dimensional but strongly influence the quality of the computed solution, while the full parameter space remains too large for full-space second-order methods. The framework is evaluated on three representative problems: a matrix eigenvalue problem, an inverse Bratu problem solved with a physics-informed neural network, and a 100-dimensional nonlinear Black-Scholes problem solved with the DeepBSDE method. In each test, HJSO reaches prescribed POI-error thresholds faster than the corresponding joint first-order baseline and improves the final POI accuracy for the reported solver configurations. The contribution is therefore not a universal optimizer, but a practical reduced-space strategy for problems with known low-dimensional parameters of interest and expensive high-dimensional training variables.

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