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Where A Small Language Model Helps in Invoice Categorisation, Understood Through Embedding Geometry

How a small AI model learns to sort invoices—and what geometry reveals about why

A small language model trained on a single computer reached 96% accuracy at automatically sorting invoices into the correct accounting categories, outperforming larger zero-shot AI systems. The researchers discovered that the model's success hinges on geometric patterns in how it represents financial language—clusters of similar invoices that map closely to vendor identity—and found a surprising mismatch: structured invoice formats that help human accountants actually make the AI model perform worse.

Companies increasingly automate invoice sorting for tax compliance and financial reporting, but relying on large cloud-based AI creates cost and security risks. This work shows that smaller, in-house models can match or beat expensive alternatives while keeping sensitive financial data private—and only need about 100 labeled invoices per new client to work well. Understanding *how* these models make decisions through geometry rather than black-box predictions also lets accountants spot when something has gone wrong.

From Corpora to Co-Evolving Capabilities: Capability-Centric Data Design for Generalist Image Generation

Building image generators by teaching skills in the right order

Researchers built a new system for training image-generation AI that organizes training data around learning dependencies—teaching fundamental skills before advanced ones—rather than treating each task separately. The approach created a 440-million-image dataset and produced models that handle text-to-image generation and image editing with broader visual coverage and better skill transfer than conventional methods.

Image generators trained this way perform better across multiple tasks without needing separate specialized models, reducing computational waste and engineering overhead. This suggests that how data is sequenced during training matters as much as the data itself—a finding that could improve efficiency in training other large AI systems.

The geometric Laplace transform: Definition, existence and properties of the Geometric Algebra Laplace transform

Extending a classic math tool to work with geometric algebra

Researchers have defined the Laplace transform—a fundamental mathematical tool for solving differential equations—to work within geometric algebra, a system that handles multidimensional spaces and rotations. This extension applies to geometric algebras with signature 5 or lower, filling a gap needed for modeling and controlling real-world systems like electrical circuits.

Engineers designing electrical circuits and other dynamical systems increasingly want to use geometric algebra because it naturally represents rotations and multidimensional transformations. Without a properly defined Laplace transform in this framework, they have to convert between different mathematical systems, losing efficiency and clarity. This work removes that barrier, letting engineers stay within geometric algebra from problem setup through solution.

Diff-DDoS: Realistic Cyber-Physical Attack Synthesis and Robust Detection for 5G-Enabled CPS Using Tabular Diffusion Models

Making DDoS attack detectors work with realistic threats instead of fake ones

Current AI systems that catch DDoS attacks on 5G networks fail badly when facing real attacks, losing 47 to 100 percent accuracy. Researchers built a new tool using diffusion models to create realistic fake attacks, then used those to train detectors until they stayed accurate against the real thing—recovering 79 to 100 percent accuracy depending on attack type.

5G networks power critical infrastructure like hospitals and power grids. Today's DDoS detectors are brittle and collapse when attackers adapt their methods slightly, creating serious security gaps. This technique lets companies test and harden their defenses against realistic attacks before deployment, rather than discovering failures during an actual breach.

Quipu: A Governed Bitemporal Knowledge Graph Store

A database that keeps AI agents honest about what they write

When AI agents write data to knowledge graphs, existing databases use outdated rules designed for human curators: they accept writes first and check them later, trust all writers equally, and keep minimal history. Quipu inverts this approach, forcing every write through a governance gate before acceptance, tracking complete time histories with trust labels, and treating governance rules themselves as queryable facts—catching all six planted defects in testing versus zero catches in ungated systems.

As AI systems increasingly generate and share information autonomously, the stakes of unchecked writes grow. Quipu makes governance verifiable through audit trails that live inside the database itself, so organizations can answer "Did this agent follow our rules?" as a simple query rather than manual forensics. Testing shows it answers all real governance questions correctly while reducing false claims by up to 87.5% compared to baseline approaches.

Is the medium the message? Social disclosure channels and firm risk

Where companies announce social issues shapes how investors view risk

Companies that disclose social and labor issues for the first time through SEC filings see their stock risk increase, while ongoing disclosures in sustainability reports lower risk. The channel matters as much as the message: unexpected information published in SEC filings signals genuine news, whereas routine updates in dedicated sustainability reports reassure investors.

Investors trade billions based on how they perceive company risk, and this research shows that the same social disclosure can either alarm or comfort investors depending on where it appears. Companies planning to disclose social problems face a real choice: burying new concerns in standard SEC filings will likely spook markets, while establishing regular sustainability reporting and integrating disclosure into financial reports can actually reduce perceived risk. Regulators and investors should treat first-time SEC social disclosures as material signals worth attention.

A Neurofinance Framework for Subjective Temporal Perception, Risk, and Investment Behavior

How your brain's valuation shifts your sense of financial time

The way your brain evaluates investments physically reshapes your subjective experience of time—meaning two financially identical choices can feel different lengths depending on neural activity. Brain imaging of 1,183 investment decisions revealed that when neural valuation states diverge, people subsequently make different financial choices, even when the objective facts stay the same.

Standard financial models assume people experience time the same way regardless of what they're deciding. This research shows the brain actually stretches or compresses financial time based on valuation activity, which could explain why investors make inconsistent choices between mathematically equivalent options and why the same delay feels different in different emotional states.

Towards Computational Provenance: Carrying Causal-State Evidence in Generated Text

Hiding proof of how an AI reached its answer inside the answer itself

Researchers embedded hidden fingerprints into text generated by AI models that reveal which internal computational path the model used to reach its answer—even when different paths produce identical outputs. In controlled tests with both simple neural networks and transformers, a detector could later read these fingerprints and identify the verified internal state that was actually used, succeeding on all 128 test cases.

Today's AI systems are black boxes: you see the answer but not how the model produced it. If AI systems could cryptographically prove which computational steps they took, it would enable auditing, safety verification, and accountability—critical for high-stakes applications like medical diagnosis or financial decisions where knowing the reasoning matters as much as the result.

Spectral Edge Rigidity of Quantum Chaotic States

Why quantum chaos behaves differently at energy spectrum edges

Chaotic quantum systems have a hidden structure at their energy edges that makes them surprisingly resistant to disturbance. Researchers found that states at the spectral edge are about one-third as sensitive to small changes as states in the middle of the spectrum, following a universal mathematical pattern that depends on whether the system has time-reversal symmetry.

Understanding how quantum states respond to perturbations is essential for building stable quantum computers and sensors. These results reveal that the ground state and lowest-energy states of chaotic quantum systems are inherently more protected from environmental noise than previously thought, which could improve the reliability of quantum devices operating at low energies.

Order-Sensitive Fast-Synapse Limits in Sparse Excitatory-Inhibitory Threshold-Reset Networks

When neurons fire depends on which signals arrive first, not just their strength

A neuron's response to mixed excitatory and inhibitory signals depends critically on which type arrives first—a detail that weak mathematical convergence alone cannot capture. Two neural network models with identical overall signal strength but opposite arrival orders can produce opposite firing outcomes, and this order-dependent effect persists even in large, sparse networks.

Current mathematical models of neural networks often treat incoming signals as interchangeable if their total strength converges properly. This work shows that assumption breaks down for threshold-based neurons: the timing order of excitation versus inhibition fundamentally changes the network's behavior. Understanding this could improve how neuroscientists and engineers predict neural circuit responses and design more accurate models of brain computation.

Split the Labor: Separating Evidence Interpretation from Decision Aggregation

Why asking AI to read many sources at once often gets the math wrong

When language models combine information from multiple sources to make decisions, they typically process everything together in one prompt—which conflates two separate problems that need different solutions. Researchers separated these tasks (interpreting individual sources versus aggregating their conclusions) and found that current systems suffer from "count-scale drift," where the decision threshold effectively shifts depending on how many sources are consulted. Using calibrated log-likelihood ratios instead of simple vote-counting fixes this problem across multiple types of AI systems, improving performance to 0.921 AUPRC from 0.805 on a medical prediction task.

AI systems that combine evidence from multiple sources—medical diagnosis panels, content moderation systems, autonomous decision engines—currently make systematically different decisions depending on how many sources they consult, even when the actual evidence hasn't changed. This fix is purely mathematical and applies immediately to existing systems without architectural changes, potentially improving reliability in high-stakes domains where consistent decision-making is critical.

Revisiting Energy-based Tabular Anomaly Detection: Energy and Reconstruction are Complementary

Combining two different detection methods to spot fake data more reliably

A decades-old machine learning technique called Deep Boltzmann Machines can reliably detect unusual patterns in spreadsheet-like data, and when paired with modern neural networks, it catches anomalies the network alone would miss. On two real-world datasets, this combination improved detection accuracy by 1.4% and 0.2% respectively—gains that held up across dozens of test runs.

Spotting fraudulent transactions, network intrusions, or equipment failures in databases matters enormously for banks, security teams, and manufacturers. Current tools rely almost entirely on one detection approach, leaving blind spots. This work shows that dusting off an older technique and combining it with modern methods fills those gaps, making anomaly detection measurably more reliable without needing to retrain existing systems.