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We theoretically analyze the Feedback Alignment (FA) algorithm, an efficient alternative to backpropagation for training neural networks. We provide convergence guarantees with rates for deep linear networks for both continuous and discrete…

Machine Learning · Computer Science 2021-10-22 Manuela Girotti , Ioannis Mitliagkas , Gauthier Gidel

This is a technical report that extends and clarifies the results presented in [1]. The model identification problem for asymptotically stable linear time invariant systems is considered. The system output is affected by an additive noise…

Optimization and Control · Mathematics 2018-09-05 Marco Lauricella , Lorenzo Fagiano

We consider the problem of engineering robust direct perception neural networks with output being regression. Such networks take high dimensional input image data, and they produce affordances such as the curvature of the upcoming road…

Machine Learning · Computer Science 2019-10-01 Chih-Hong Cheng

The ever increasing sizes of Large Language Models (LLMs) beyond hundreds of billions of parameters have generated enormous pressure on the manufacturers of dedicated hardware accelerators and made the innovative design of the latter one of…

Machine Learning · Computer Science 2024-10-15 Mahsa Salmani , Nikita Trukhanov , Ilya Soloveychik

Performative prediction is a framework that captures distribution shifts that occur during the training of machine learning models due to their deployment. As the trained model is used, data generation causes the model to evolve, leading to…

Machine Learning · Computer Science 2025-11-10 Xue Zheng , Tian Xie , Xuwei Tan , Aylin Yener , Xueru Zhang

Complex-valued bidirectional associative memory (BAM) neural networks with fractional-order dynamics and delays can exhibit transient instabilities that degrade synchronization and short-horizon predictability. This paper develops a unified…

Chaotic Dynamics · Physics 2026-05-28 Yazhini Muruganantham , Andrei Velichko , Samidurai Rajendran

Fault-tolerant deep learning accelerator is the basis for highly reliable deep learning processing and critical to deploy deep learning in safety-critical applications such as avionics and robotics. Since deep learning is known to be…

Hardware Architecture · Computer Science 2023-12-22 Qing Zhang , Cheng Liu , Bo Liu , Haitong Huang , Ying Wang , Huawei Li , Xiaowei Li

Deep Neural Networks (DNNs) enable a wide series of technological advancements, ranging from clinical imaging, to predictive industrial maintenance and autonomous driving. However, recent findings indicate that transient hardware faults may…

Machine Learning · Computer Science 2022-05-31 Niccolò Cavagnero , Fernando Dos Santos , Marco Ciccone , Giuseppe Averta , Tatiana Tommasi , Paolo Rech

Parent-Guided Adaptive Reliability (PGAR) is a lightweight behavioural meta-learning framework that adds a supervisory "parent" layer on top of a standard learner to improve stability, calibration, and recovery under disturbances. PGAR…

Machine Learning · Computer Science 2026-01-13 Anshum Rankawat

Contemporary autoregressive transformers operate in open loop: each hidden state is computed in a single forward pass and never revised, causing errors to propagate uncorrected through the sequence. We identify this open-loop bottleneck as…

Machine Learning · Computer Science 2025-12-01 Akbar Anbar Jafari , Gholamreza Anbarjafari

Foundational Machine Learning Potentials can resolve the accuracy and transferability limitations of classical force fields. They enable microscopic insights into material behavior through Molecular Dynamics simulations, which can crucially…

Computational Physics · Physics 2025-12-04 Paul Fuchs , Julija Zavadlav

We present a bound for value-prediction error with respect to model misspecification that is tight, including constant factors. This is a direct improvement of the "simulation lemma," a foundational result in reinforcement learning. We…

Machine Learning · Computer Science 2024-10-28 Sam Lobel , Ronald Parr

In continual learning, networks confront a trade-off between stability and plasticity when trained on a sequence of tasks. To bolster plasticity without sacrificing stability, we propose a novel training algorithm called LRFR. This approach…

Machine Learning · Computer Science 2023-12-15 Zhenrong Liu , Yang Li , Yi Gong , Yik-Chung Wu

This paper studies the propagation of finite-sample uncertainty under nonlinear transformations commonly used in statistical decision systems. In particular, we consider process capability indices, which are widely used in manufacturing…

Applications · Statistics 2026-05-11 Fei Jiang , Lei Yang

We investigate the robustness of Large Language Models (LLMs) to structural interventions by deleting and swapping adjacent layers during inference. Surprisingly, models retain 72-95% of their original top-1 prediction accuracy without any…

Machine Learning · Computer Science 2025-06-17 Vedang Lad , Jin Hwa Lee , Wes Gurnee , Max Tegmark

Large language models demonstrate strong performance on mathematical reasoning benchmarks, yet remain surprisingly fragile to meaning-preserving surface perturbations. We systematically evaluate three open-weight LLMs, Mistral-7B,…

Computation and Language · Computer Science 2026-04-03 Shou-Tzu Han , Rodrigue Rizk , KC Santosh

Neural surrogates for stiff differential-algebraic equations (DAEs) face two barriers: soft-constraint methods leave algebraic residuals that stiffness amplifies into errors, and hard-constraint methods require trajectory data from stiff…

Machine Learning · Computer Science 2026-04-28 Huy Hoang Le , Haoguang Wang , Christian Moya , Marcos Netto , Guang Lin

Empirical causal claims depend on many analyst decisions, from selecting covariates to choosing estimators. Existing robustness tools summarize how results vary across these choices, but, to the best of our knowledge, do not answer:…

Methodology · Statistics 2026-05-05 Hoang Dang , Luan Pham , Minh Nguyen

Large language models are increasingly deployed in settings where reliability matters, yet output-level uncertainty signals such as token probabilities, entropy, and self-consistency can become brittle under calibration--deployment…

Computation and Language · Computer Science 2026-04-20 Yanli Wang , Peng Kuang , Xiaoyu Han , Kaidi Xu , Haohan Wang

During pretraining, the Pre-LayerNorm transformer suffers from a gradient magnitude mismatch: gradients at early layers are much larger than at later layers. These issues can be alleviated by our proposed NormFormer architecture, which adds…

Computation and Language · Computer Science 2021-11-02 Sam Shleifer , Jason Weston , Myle Ott