Tensor-valued data arise naturally in neuroimaging, genomics, climate science, and spatiotemporal networks, where multilinear dependencies across modes carry information that is destroyed under vectorization. Existing approaches either impose a single low-rank structure, which can miss localized signal, or treat the tensor as a long vector, which discards its multiway geometry. We propose a *Dual-Channel Tensor Neural Network* (DC-TNN) that decomposes each tensor input into a low-rank core and a sparse refinement, and processes the two components through coupled neural channels. The framework is structure-agnostic and accommodates CP, Tucker, and tensor-train cores within a single architecture. For estimation, we establish non-asymptotic risk bounds for the DC-TNN estimator that decompose into network approximation, core estimation, and refinement-selection terms, and show that the effective dimension is determined jointly by the core rank and refinement sparsity rather than by the ambient tensor size. For inference, we develop a *structure-aware conformal ROC* procedure that calibrates within the core-refinement latent space and produces ROC and AUC confidence bands with finite-sample, distribution-free coverage. Building on this, we propose a *conformal structure selector* that, to our knowledge, is the *first distribution-free procedure* for choosing among candidate tensor decompositions with finite-sample validity. Simulations and an analysis of a protein dataset demonstrate competitive predictive accuracy, reliable uncertainty quantification, and consistent recovery of the tensor structure.

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In what is the 11th Cybertruck recall, certain models of Elon Musk's embattled pickup could experience a sudden, unexpected wheel separation, thanks to the wrong grease and loose nuts. Last year, nearly all Cybertrucks had to be recalled because Tesla used the wrong glue on a steel trim panel that the carmaker said could become detached while driving. Now, yet another embarrassing recall exposes that the electric pickup could see wheels come off certain models due to the use of the wrong grease. In what is the 11th Cybertruck recall so far, alongside concerns that the stainless steel trucks could be rusting, Tesla is recalling its Rear Wheel Drive (RWD) Cybertruck Long Range over faulty brake rotors. In a notice posted by the National Highway Traffic Safety Administration, Tesla states that "brake rotor stud holes may crack and allow the stud to separate from the wheel hub."

OfflineRLisdeemed to be promising [16, 14] as online learning requires the agent to continuously interact with the environment, which howevermaybecostly,time-consuming, orevendangerous.

Infact, modelingmulti-modal 3 k means Continuous action dataset (|A| x a)Clustering into k bins Action offset (1 x a)Continuous action (1 x a)Categorical action bin (1 x k)Continuous action (1 x a)k means encoderk means decoderA.

However, numbers for BCQ and SAC are from our runs for all tasks. These plots show that, in the vast majority of environments, CDC exhibits consistently better performance across different seeds/iterations.

Thelimited datainbatchRLproduces inherent uncertainty in value estimates of states/actions that were insufficiently represented in the training data.

Reinforcement learning (RL) is typically concerned with estimating stationary policies orsingle-step models, leveraging theMarkovproperty tofactorize problems in time. However, we can also view RL as a generic sequence modeling problem, with the goal being to produce a sequence of actions that leads to a sequence ofhighrewards.

Many fields collect large-scale temporal data through repeated measurements (trials), where each trial is labeled with a set of metadata variables spanning several categories. For example, a trial in a neuroscience study may be linked to a value from category (a): task difficulty, and category (b): animal choice. A critical challenge in time-series analysis is to understand how these labels are encoded within the multi-trial observations, and disentangle the distinct effect of each label entry across categories. Here, we present MILCCI, a novel data-driven method that i) identifies the interpretable components underlying the data, ii) captures cross-trial variability, and iii) integrates label information to understand each category's representation within the data. MILCCI extends a sparse per-trial decomposition that leverages label similarities within each category to enable subtle, label-driven cross-trial adjustments in component compositions and to distinguish the contribution of each category. MILCCI also learns each component's corresponding temporal trace, which evolves over time within each trial and varies flexibly across trials. We demonstrate MILCCI's performance through both synthetic and real-world examples, including voting patterns, online page view trends, and neuronal recordings.

EVs are poised to age like smartphones. For most of its short life, my Tesla Model 3 has aged beautifully. Since I bought the car, in 2019, it has received a number of new features simply by updating its software. My navigation system no longer just directs me to EV chargers along my route--it also shows me, in real time, how many plugs are free. With the push of a button, I can activate "Car Wash Mode," and the Tesla will put itself in neutral and disable the windshield wipers.