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We propose an approach for learning the causal structure in stochastic dynamical systems with a $1$-step functional dependency in the presence of latent variables. We propose an information-theoretic approach that allows us to recover the…

Information Theory · Computer Science 2017-01-25 Saber Salehkaleybar , Jalal Etesami , Negar Kiyavash

A central aim in computational neuroscience is to relate the activity of large populations of neurons to an underlying dynamical system. Models of these neural dynamics should ideally be both interpretable and fit the observed data well.…

Machine Learning · Computer Science 2025-02-27 Matthijs Pals , A Erdem Sağtekin , Felix Pei , Manuel Gloeckler , Jakob H Macke

Recent large language models have demonstrated relevant capabilities in solving problems that require logical reasoning; however, the corresponding internal mechanisms remain largely unexplored. In this paper, we show that a small language…

Artificial Intelligence · Computer Science 2025-10-13 Davide Maltoni , Matteo Ferrara

To have a superior generalization, a deep learning neural network often involves a large size of training sample. With increase of hidden layers in order to increase learning ability, neural network has potential degradation in accuracy.…

Machine Learning · Computer Science 2019-01-01 Lianfa Li , Ying Fang , Jun Wu , Jinfeng Wang

Starting with a collection of traces generated by process executions, process discovery is the task of constructing a simple model that describes the process, where simplicity is often measured in terms of model size. The challenge of…

Artificial Intelligence · Computer Science 2024-04-17 Hanan Alkhammash , Artem Polyvyanyy , Alistair Moffat

Large language models (LLMs) have achieved remarkable multi-step reasoning capabilities across various domains. However, LLMs still face distinct challenges in complex logical reasoning, as (1) proof-finding requires systematic exploration…

Computation and Language · Computer Science 2025-09-16 Kang He , Kaushik Roy

We investigate high-dimensional sparse regression when both the noise and the design matrix exhibit heavy-tailed behavior. Standard algorithms typically fail in this regime, as heavy-tailed covariates distort the empirical risk geometry. We…

Methodology · Statistics 2026-01-12 Kaiyuan Zhou , Xiaoyu Zhang , Wenyang Zhang , Di Wang

We introduce and test a general machine-learning-based technique for the inference of short term causal dependence between state variables of an unknown dynamical system from time series measurements of its state variables. Our technique…

Adaptation and Self-Organizing Systems · Physics 2020-12-18 Amitava Banerjee , Jaideep Pathak , Rajarshi Roy , Juan G. Restrepo , Edward Ott

Frontier reasoning models are produced by posttraining base language models with reinforcement learning. Recent work has challenged this by showing that sampling from a sharpened version of the base model's distribution, a so-called power…

Machine Learning · Computer Science 2026-05-29 Felix Zhou , Anay Mehrotra , Quanquan C. Liu

Recent research enhances language model reasoning by scaling test-time compute via longer chain-of-thought traces. This often improves accuracy but also introduces redundancy and high computational cost, especially for small language models…

Machine Learning · Computer Science 2025-05-26 Xuechen Zhang , Zijian Huang , Chenshun Ni , Ziyang Xiong , Jiasi Chen , Samet Oymak

Biological neural systems must be fast but are energy-constrained. Evolution's solution: act on the first signal. Winner-take-all circuits and time-to-first-spike coding implicitly treat when a neuron fires as an expression of confidence.…

Machine Learning · Computer Science 2026-01-30 Joshua V. Dillon

How can we perform efficient inference and learning in directed probabilistic models, in the presence of continuous latent variables with intractable posterior distributions, and large datasets? We introduce a stochastic variational…

Machine Learning · Statistics 2022-12-13 Diederik P Kingma , Max Welling

Model predictive control solves a constrained optimization problem online in order to compute an implicit closed-loop control policy. Recursive feasibility -- guaranteeing that the optimal control problem will have a solution at every time…

Optimization and Control · Mathematics 2024-10-16 Jacob W. Knaup , Panagiotis Tsiotras

We consider the data-driven discovery of governing equations from time-series data in the limit of high noise. The algorithms developed describe an extensive toolkit of methods for circumventing the deleterious effects of noise in the…

Machine Learning · Computer Science 2022-01-03 Charles B. Delahunt , J. Nathan Kutz

Standard chain-of-thought reasoning generates a solution in a single forward pass, committing irrevocably to each token and lacking a mechanism to recover from early errors. We introduce Inference-Time Rethinking, a generative framework…

Computation and Language · Computer Science 2026-02-09 Deqian Kong , Minglu Zhao , Aoyang Qin , Bo Pang , Chenxin Tao , David Hartmann , Edouardo Honig , Dehong Xu , Amit Kumar , Matt Sarte , Chuan Li , Jianwen Xie , Ying Nian Wu

While LLMs have seen substantial improvement in reasoning capabilities, they also sometimes overthink, generating unnecessary reasoning steps, particularly under uncertainty, given ill-posed or ambiguous queries. We introduce statistically…

Artificial Intelligence · Computer Science 2026-02-17 Yangxinyu Xie , Tao Wang , Soham Mallick , Yan Sun , Georgy Noarov , Mengxin Yu , Tanwi Mallick , Weijie J. Su , Edgar Dobriban

Large Language Models (LLMs) often falter in complex reasoning tasks due to their static, parametric knowledge, leading to hallucinations and poor performance in specialized domains like mathematics. This work explores a fundamental…

Machine Learning · Computer Science 2026-02-10 Srijan Shakya , Anamaria-Roberta Hartl , Sepp Hochreiter , Korbinian Pöppel

Reasoning with large language models often benefits from generating multiple chains-of-thought, but existing aggregation strategies are typically trajectory-level (e.g., selecting the best trace or voting on the final answer), discarding…

Computation and Language · Computer Science 2026-02-27 Roy Miles , Aysim Toker , Andreea-Maria Oncescu , Songcen Xu , Jiankang Deng , Ismail Elezi

Guided policy search algorithms have been proven to work with incredible accuracy for not only controlling a complicated dynamical system, but also learning optimal policies from various unseen instances. One assumes true nature of the…

Systems and Control · Electrical Eng. & Systems 2020-10-02 Prakash Mallick , Zhiyong Chen , Mohsen Zamani

How should future neural reasoning systems implement extended computation? Recursive Reasoning Models (RRMs) offer a promising alternative to autoregressive sequence extension by performing iterative latent-state refinement with shared…

Artificial Intelligence · Computer Science 2026-05-21 Junyeob Baek , Mingyu Jo , Minsu Kim , Mengye Ren , Yoshua Bengio , Sungjin Ahn
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