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S. Timotheou

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Jul 2026

ChACo: Channel-Wise Adaptive Competitive Layer-Wise Learning.

Local layer-wise learning offers modular optimization, layer-level transparency, and training without end-to-end error transport. However, its scalability remains limited by three coupled difficulties: local objectives can be weak or poorly aligned with the final task, shallow layers are often forced into premature fine-class discrimination, and fully local optimization is sensitive to activation and variance drift across depth. In this work, we present ChACo, a channel-wise adaptive competitive framework for fully local learning in convolutional networks. Each layer is trained with a local discriminative objective, while the internal block-to-class association is allowed to vary with depth. Early layers can map fewer competitive blocks to fine-label logits through a learned association policy, whereas later layers can recover direct fine-class competition as a special case. This design reduces the shallow-layer channel burden in many-class settings while preserving a direct local path to the final label space. The framework is supported by an analysis of local optimization dynamics, showing why even-power goodness functions and the ordering of rectification, convolution, and normalization are important for stable activation conditioning. We further incorporate lightweight stabilization components, including block-wise normalization and modular training schedules. Experiments on standard and many-class image-classification benchmarks show that ChACo improves over prior local-learning baselines, transfers across WAN and ResNet convolutional architectures, and narrows the gap to matched backpropagation (BP) references, while end-to-end BP remains stronger in the most depth-dependent settings. The source code of ChACo is available at https://github.com/andreaspapac/ChACo.

A. Papachristodoulou, C. Kyrkou, S. Timotheou et al. · 0 citations
Preprint Aug 2026

Mitigating Regional Traffic Congestion via School Start Time Scheduling: A Bilevel Alternating Optimization Approach

This paper addresses morning commute congestion caused by concentrated school-related trips in urban networks. We propose a bi-level optimization framework for regulating school start times in a multi-region urban network characterized by Macroscopic Fundamental Diagrams (MFDs), explicitly coupling system-level regulation with multi-class user-equilibrium-based departure-time choices. The Upper-Level problem jointly minimizes total time spent and deviations from current school schedules, while the Lower-Level problem models commuter behavior through a deterministic dynamic multi-class user equilibrium formulation incorporating alpha-beta-gamma preferences for travel time, earliness, and lateness costs. To address the computational challenges arising from the bilevel structure, non-convex traffic dynamics, and endogenous demand responses, an iterative algorithm alternating between the Upper- and Lower-Level problems is developed. The Upper-Level problem is approximated through a formulation solvable with standard mathematical programming solvers, while an iterative algorithm provides an approximate solution to the Lower-Level equilibrium problem. Numerical results demonstrate substantial congestion reductions and characterize the trade-off between school start-time flexibility and traffic efficiency. Sensitivity analyses further examine the effects of MFD uncertainty and scheduling preferences.

A. Georgantas, S. Timotheou, Christos G. Panayiotou · 0 citations