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Firm Valuation When AI Shapes the Business Model: A Milestone-Based Real-Options Framework for the AI Valuation Uncertainty Problem

How to value AI companies when their future depends on unproven breakthroughs

Standard valuation methods treat AI integration as a black box, burying crucial assumptions about whether key technical milestones will succeed. This paper proposes a structured framework that breaks down an AI company's value into specific, testable options—each with its own success probability—so investors and auditors can see exactly which bets drive the valuation. Applied to an AI energy software company, the method revealed that risk concentrates in later-stage bets, not the initial product launch.

AI company valuations swing wildly because nobody has a clear, auditable way to price them—traditional methods compress all the uncertainty into vague numbers. This framework gives investors, lenders, and acquirers a transparent way to understand what has to go right for a deal to make sense, and where the real risks actually sit. That matters most in M&A due diligence, where a buyer needs to know whether they're overpaying for speculative AI bets or betting on proven capabilities.

Augmented Hypothesis Testing with Persona-Based LLM Simulations

Using AI predictions to run cheaper, faster experiments without sacrificing accuracy

Researchers developed a new statistical framework that uses predictions from AI models—including those from persona-based language models—to shrink the sample sizes needed for A/B tests while maintaining statistical rigor. The method works even when the AI predictions are imperfect, automatically downweighting unreliable signals while extracting useful information from accurate ones. In experiments on real datasets, the approach reduced the cost of testing by substantial margins without compromising the validity of results.

A/B testing is the standard way companies validate decisions, but it's slow and expensive—you need to wait weeks or months and recruit thousands of users. This framework could let companies run valid experiments with 50% fewer participants or shorter timelines by feeding in cheap AI predictions alongside real user data. The method is robust to bad predictions, so teams can experiment with this approach even if they're uncertain how good their models are.

Bayesian Belief Layer for Controllable Opinion Dynamics in LLM Agents

Making AI agents' opinions transparent and controllable in social simulations

Large language models used in social simulations change their opinions unpredictably, hidden inside their text generation. Researchers added a simple belief-tracking layer that separates what an agent actually believes from how it speaks, using a single number to control how stubborn each agent is. This lets them reliably produce three different kinds of group dynamics — consensus, lasting disagreement, or minority influence — and catch hidden biases that would otherwise go unnoticed.

Social simulations with AI agents are increasingly used to study how misinformation spreads, how groups make decisions, and how social movements form. If the agents' opinion changes happens invisibly and can't be controlled or audited, researchers can't trust their results or explain why a simulation turned out the way it did. This method makes it possible to verify that a simulation is actually modeling the social dynamics researchers intended, rather than accidentally encoding whatever biases the AI model learned during training.

On the Injectivity of Elementary Symmetric Partitions and the Multiset Recovery Problem

When can you recover a collection of numbers from their combined products?

Mathematicians solved a 67-year-old puzzle about whether you can uniquely recover a multiset of numbers from information derived from their symmetric products. The answer depends on both the size of the multiset and a specific mathematical property called the Moser root set — and for certain cases like six-element sets, there are at most two possible original collections that produce the same output.

This result bridges a forgotten 1957 problem with modern partition theory, settling long-standing questions about uniqueness and ambiguity in mathematical reconstruction. The techniques developed here may apply to other areas where information must be reliably recovered from compressed or combined data.

RTLViT: real-time lensless reconstruction with a lightweight vision transformer

Turning blurry sensor patterns into sharp photos instantly on your phone

Researchers created RTLViT, a lightweight AI system that reconstructs clear images from the blurry patterns captured by lensless cameras — devices with no traditional lens that are far simpler and smaller than regular cameras. The system works 15 times faster than larger AI approaches while actually producing better images, and it runs directly on smartphones and laptops in real time.

Lensless cameras could be built directly into phones and other devices since they need no bulky lens, but only if the image reconstruction can happen instantly without draining the battery. RTLViT makes this practical by doing the job with minimal computation, opening the path to thinner phones, better hidden cameras for security systems, and ultra-compact imaging for medical or scientific devices.

DiaVLo: Diagnosing Behaviours of Vision-Language Models

Finding hidden biases in AI models that understand images and text

A new diagnostic tool called DiaVLo can identify what vision-language models actually do—and whether they match what we want them to do. By examining how these AI systems process images and text together, the tool surfaces misalignments between intended and real behavior, and pinpoints which concepts most strongly influence the model's decisions.

Vision-language models power everything from medical image analysis to content moderation, so knowing what they actually do—not just what they're supposed to do—is essential before deploying them. DiaVLo makes those hidden behaviors visible, helping developers catch problems like unfair associations or dangerous shortcuts before the system reaches users.

CASCADE Against Jailbreaks: Combination Across Stages with Controlled Attack-Defense Evaluation

Which AI safety filters actually work best when combined together

Researchers tested 19 different jailbreak attacks against 15 AI safety defenses to find the best way to stack them. No single defense blocked all attacks, but combining the right ones across different stages of the AI system blocked most attacks without making the AI less useful.

As AI systems become more widely deployed, companies need concrete guidance on how to defend them against adversaries trying to trick them into harmful outputs. This work shows how to layer defenses in order of effectiveness, helping engineers make practical decisions about which safety tools to deploy where in their AI pipelines.

Model-Free Passive Execution via Order-Level Shadowing

A simpler way to place trades by copying what others are already doing

A new trading algorithm called Shadow-PPOV places orders by simply mimicking other traders' behavior rather than relying on predictions or models. Tested on a year of stock index futures data, it achieves competitive execution quality without needing to forecast prices or analyze market conditions — it just follows what it observes.

Trading algorithms currently require complex models to decide where and when to place orders, creating opportunities for errors and unexpected costs. A model-free approach that works equally well means traders can execute large orders more reliably and with less computational overhead, while also providing a clearer baseline for measuring whether fancy prediction models actually deliver better results than simple observation.

RAFT: A Stateful Retrieval-Augmented Framework for Troubleshooting Agents

Teaching support bots to learn from similar problems at every step

When customer support systems look for similar past cases to solve a new problem, they typically treat old cases as complete documents—missing the fact that troubleshooting happens in stages. RAFT treats each historical case as a timeline of steps and matches cases based on where they are in the process, not just their final outcome. On real issues from Apache's bug tracker and a synthetic Windows Server benchmark, RAFT found relevant past cases more consistently than standard approaches, especially in the middle stages of troubleshooting.

Support agents waste time when they retrieve irrelevant historical cases or miss the ones that would actually help. By matching cases at intermediate steps rather than treating them as static snapshots, this approach could reduce the time spent searching for guidance and improve the accuracy of the solutions suggested to customers. The researchers released their benchmark and code, giving support teams a concrete tool to improve how their systems learn from history.

Locally optimized variational evolution for quantum many-body systems

Simulating quantum systems by tracking only what you can actually measure

Physicists have developed a new method for simulating quantum systems that sidesteps the astronomical computational cost by focusing on local properties instead of the entire quantum state. The approach works because in many real quantum systems, local measurements—like temperature at a specific point—don't actually depend on the full microscopic details of the whole system, especially once it reaches thermal equilibrium. The team demonstrated the method on current quantum computers, showing it can capture the right physics while being practical enough to run on noisy hardware.

Current quantum computers struggle with simulating large quantum systems because tracking the complete state grows exponentially harder with size. By targeting only the local properties people actually care about measuring—temperatures, pressures, energy flows—this method cuts through that complexity. The approach works on today's real quantum hardware despite their noise and errors, opening a path to using current machines for practical simulations before we have perfect quantum computers.

Decision-Related Cognitive Signatures from Fast-Slow Dynamics: A Low-Dimensional Observation-Operator Framework

How two-speed brain dynamics produce the patterns we see in repeated decisions

A mathematical model of decision-making built from fast and slow competing processes can generate the four main temporal patterns observed in repeated choices: persistence, directional switches, alternating patterns, and sudden shifts. The researchers show this simple two-dimensional system is sufficient to produce these observable behaviors without needing to specify what's actually happening in the brain itself.

Understanding the mathematical structure underlying decision patterns could help neuroscientists interpret brain activity during repeated choices and predict how decision-making will change under different conditions. The framework separates what we can actually measure (choice sequences over time) from hidden brain dynamics, making it easier to test theories about decision-making without assuming we know the exact neural mechanisms.

GeoAAC: Geometry-Based Adaptive Action Chunking from Denoising Trajectories in VLA Policies

Teaching robots when to pause and reconsider their next move

Robots executing multi-step tasks often plan several actions at once—but different moments call for different levels of caution. Researchers developed a method that automatically adjusts how many steps a robot commits to based on how confident it is in its current prediction, rather than always planning the same fixed number of steps ahead. On real robot manipulation tasks, this raised success rates from 53% to 74%.

Current robotic systems use rigid planning windows that don't adapt to task difficulty—a robot might commit to 10 steps forward while picking up a fragile object (risky) or only 2 steps while moving across open space (wasteful). This work lets robots tighten their grip on planning when stakes are high and relax it when conditions are stable, making manipulation tasks substantially more reliable without retraining the underlying system.