Tensor Networks: A Mathematical Bridge Between Neural and Symbolic AI

Neural networks excel at learning patterns from data. Symbolic AI excels at logical reasoning and interpretability. For decades, researchers have tried to combine them — with limited success. A new paper proposes an elegant mathematical framework that unifies both approaches: tensor networks. The key insight? Both neural and symbolic computations can be expressed as tensor decompositions, and inference in both reduces to tensor contractions. The Problem: Two Worlds That Don’t Talk Modern AI is split into two camps: ...

January 23, 2026

Cost-Constrained LLM Cascades — Meet C3PO

Imagine you have an army of helpers — several different Large Language Models (LLMs), each capable of handling tasks from simple queries to complex reasoning. But each helper costs something: time, compute, or actual money if you’re using an API. So the question is: Can we orchestrate these models wisely — starting from the cheapest one that might do the job, escalating only when needed — without exceeding a cost budget? ...

November 14, 2025