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A Phase Space Trajectory Proofs Here we present the proofs for the propositions from Section 4, concerning a

Neural Information Processing Systems

Then the time derivative of z (t) is d dt x d x dt ... d Single phase space trajectories can feed into themselves representing periodic motion. Effectively an additional dimension is added to phase space, which is time. This maintains generality and allows NODEs to be used as a component of a larger model. These are the same equations that were derived by Chen et al. The gradients from the positional part and the velocity part are found separately and added.


On Second Order Behaviour in Augmented Neural ODEs

Neural Information Processing Systems

While previous work has mostly been focused on first order ODEs, the dynamics of many systems, especially in classical physics, are governed by second order laws. In this work, we consider Second Order Neural ODEs (SONODEs).




A novel Neural-ODE model for the state of health estimation of lithium-ion battery using charging curve

Li, Yiming, He, Man, Liu, Jiapeng

arXiv.org Artificial Intelligence

The state of health (SOH) of lithium-ion batteries (LIBs) is crucial for ensuring the safe and reliable operation of electric vehicles. Nevertheless, the prevailing SOH estimation methods often have limited generalizability. This paper introduces a data-driven approach for estimating the SOH of LIBs, which is designed to improve generalization. We construct a hybrid model named ACLA, which integrates the attention mechanism, convolutional neural network (CNN), and long short-term memory network (LSTM) into the augmented neural ordinary differential equation (ANODE) framework. This model employs normalized charging time corresponding to specific voltages in the constant current charging phase as input and outputs the SOH as well as remaining useful of life. The model is trained on NASA and Oxford datasets and validated on the TJU and HUST datasets. Compared to the benchmark models NODE and ANODE, ACLA exhibits higher accuracy with root mean square errors (RMSE) for SOH estimation as low as 1.01% and 2.24% on the TJU and HUST datasets, respectively.


OmniScience: A Domain-Specialized LLM for Scientific Reasoning and Discovery

Prabhakar, Vignesh, Islam, Md Amirul, Atanas, Adam, Wang, Yao-Ting, Han, Joah, Jhunjhunwala, Aastha, Apte, Rucha, Clark, Robert, Xu, Kang, Wang, Zihan, Liu, Kai

arXiv.org Artificial Intelligence

Large Language Models (LLMs) have demonstrated remarkable potential in advancing scientific knowledge and addressing complex challenges. In this work, we introduce OmniScience, a specialized large reasoning model for general science, developed through three key components: (1) domain adaptive pretraining on a carefully curated corpus of scientific literature, (2) instruction tuning on a specialized dataset to guide the model in following domain-specific tasks, and (3) reasoning-based knowledge distillation through fine-tuning to significantly enhance its ability to generate contextually relevant and logically sound responses. We demonstrate the versatility of OmniScience by developing a battery agent that efficiently ranks molecules as potential electrolyte solvents or additives. Comprehensive evaluations reveal that OmniScience is competitive with state-of-the-art large reasoning models on the GPQA Diamond and domain-specific battery benchmarks, while outperforming all public reasoning and non-reasoning models with similar parameter counts. We further demonstrate via ablation experiments that domain adaptive pretraining and reasoning-based knowledge distillation are critical to attain our performance levels, across benchmarks.


Reviews: Augmented Neural ODEs

Neural Information Processing Systems

Originality: The method is original in the deep learning literature. Though limitations of ODEs cannot cross paths is quite well-known, this paper views this deficiency from a modeling perspective and removes it while keeping within the ODE framework. Quality & Clarity: The motivations for ANODE are well-explained and the experiments are well-chosen. The prose is very well written, and with many simple visualizations that support their claims. Significance: Given the interest in ODE-based modeling, this work has enough impact for a NeurIPS paper.


Machine learning assisted screening of metal binary alloys for anode materials

Shi, Xingyue, Zhou, Linming, Huang, Yuhui, Wu, Yongjun, Hong, Zijian

arXiv.org Artificial Intelligence

In the dynamic and rapidly advancing battery field, alloy anode materials are a focal point due to their superior electrochemical performance. Traditional screening methods are inefficient and time-consuming. Our research introduces a machine learning-assisted strategy to expedite the discovery and optimization of these materials. We compiled a vast dataset from the MP and AFLOW databases, encompassing tens of thousands of alloy compositions and properties. Utilizing a CGCNN, we accurately predicted the potential and specific capacity of alloy anodes, validated against experimental data. This approach identified approximately 120 low potential and high specific capacity alloy anodes suitable for various battery systems including Li, Na, K, Zn, Mg, Ca, and Al-based.