The paper introduces Temporal Kolmogorov‑Arnold Networks (T‑KAN) for forecasting high‑frequency limit order book data, replacing fixed linear weights in LSTMs with learnable B‑spline activation functions. This approach captures the shape of market signals, yielding a 19.1% relative improvement in F1‑score at a 100‑step horizon and a 132.48% return versus a -82.76% drawdown for DeepLOB under 1.0 bps transaction costs. T‑KAN also offers interpretability through visible dead‑zones in the splines and is optimized for low‑latency FPGA deployment via High‑Level Synthesis.
arXiv:2511. 18613v2 Announce Type: replace-cross Abstract: This study presents a controlled comparison of baseline Kolmogorov-Arnold Networks (KAN), implemented via PyKAN, and Long Short-Term Memory (LSTM) networks for the forecasting of stochastic, non-stationary financial time series.
arXiv:2608. 00737v1 Announce Type: new Abstract: Hard-constrained recurrent physics-informed networks (HRPINNs) embed known dynamics inside a recurrent numerical integrator and restrict a neural branch to learning only the residual dynamics that the first-principles model does not capture.
arXiv:2605. 15690v2 Announce Type: replace Abstract: Accurate and efficient long-term multivariate time series forecasting requires capturing recurring temporal structure while keeping inference cheap across many variables and horizons.
Aurora‑X is a billion‑parameter time‑series foundation model designed for extreme forecasting tasks. It employs a progressive curriculum that starts with channel‑independent pretraining, then adds cross‑variable dependencies, variable context and horizon lengths, and optional future covariates during mid‑training. A variable‑resolution post‑training stage allows adjustable temporal spans per token at inference, while a pattern‑guided mixture‑of‑experts expands capacity through sparse activation and expert specialization. An implicit quantile network head predicts arbitrary quantiles, enhancing probabilistic forecasting flexibility. Experiments on GIFT‑Eval, TIME, FEV‑Bench, TFB, and DAG‑Bench show state‑of‑the‑art performance against both pretrained TSFMs and task‑specific supervised models.
arXiv:2609.13840v1 Announce Type: new Abstract: A contract-logistics spare-parts operator is paid on order-level service: an order counts only if every requested line is fulfilled, yet forecasters ar...
arXiv:2512. 18921v5 Announce Type: replace Abstract: The present paper introduces concurrency-driven enhancements to the training algorithm for the Kolmogorov-Arnold networks (KANs) that is based on the Newton-Kaczmarz (NK) method.
arXiv:2607. 15525v1 Announce Type: cross Abstract: Kolmogorov--Arnold Networks (KANs) replace fixed node activations with learned one-dimensional edge functions, offering an explicit interface for interpretation and a possible alternative to transformer feed-forward networks.
The paper presents a reproducible study of multi‑horizon forecasting on the Lomnicky Stit neutron monitor (LMKS) time series. It evaluates a range of models—from simple seasonal baselines to modern deep sequence models and quantum‑inspired architectures such as QiLSTM and QiKAN—using MAE and RMSE metrics. Results show that the quantum‑inspired KAN variant (QiKAN) achieves the lowest aggregate error, while the simple Seasonal Naive baseline remains highly competitive, indicating that strong seasonal or low‑dimensional functional priors can rival more complex models for highly periodic scientific data.
The paper introduces LOBERT, a general-purpose encoder-only foundation model designed for financial Limit Order Book (LOB) data. It adapts the BERT architecture by treating entire multi-dimensional LOB messages as single tokens, preserving continuous price, volume, and time representations. LOBERT outperforms prior models in tasks like mid-price movement prediction and next-message forecasting while requiring shorter context lengths.
arXiv:2608. 08825v1 Announce Type: cross Abstract: Foundation models for time series forecasting demonstrate impressive zero-shot generalization but often underperform on specialized domains such as high-frequency finance.
arXiv:2608. 00859v1 Announce Type: new Abstract: Kolmogorov--Arnold Networks (KANs) replace scalar edge weights with learnable univariate functions parameterized by multiple basis coefficients.
UQ-LOB is a lightweight, encoder‑agnostic module that adds uncertainty quantification to any pretrained limit order book (LOB) encoder. It offers two variants: UQ‑regression, which outputs a calibrated Gaussian over future tick displacement, and UQ‑classification, which outputs a categorical distribution over down/up/stationary. On 5.2 billion LOB events across seven cryptocurrency assets, UQ‑regression achieves near‑nominal 68 % interval coverage, and selecting the top 10 % most confident predictions boosts directional macro F1 by 0.11–0.15 for regression and 0.05–0.11 for classification, reaching F1 scores of 0.88 (down) and 0.83 (up) at a 5‑second horizon.