We analyze higher-dimensional sliding puzzles, finding solvability patterns.
problem Solvability of higher-dimensional cubical sliding puzzles.
method Study of puzzle graphs and token movement constraints.
result Characterization of solvability regimes from stuck to fully solvable.
Deep learning solves jigsaw puzzles by classifying fragment positions.
problem Automated reconstruction of archaeological fragments from jigsaw puzzles.
method Classifies relative positions of fragments using deep neural networks and local feature co-occurrences.
result Our method outperforms state-of-the-art by 25%.
Model resolves asset pricing puzzles with price-impact.
problem Asset pricing puzzles like interest rate, stock-price volatility, and equity premium.
method Closed-form equilibrium model with exponential investors trading continuously and experiencing price-impact.
result Price-impact amplifies risk-sharing distortions, resolving puzzles.
Deep neural network predicts puzzle piece adjacency.
problem Jigsaw puzzle assembly accuracy.
method Deep learning model trained on pixel data.
result Significant improvement in puzzle assembly accuracy.
Solved Dudeney's 100-year-old puzzle about triangle to square dissection.
problem How to dissect an equilateral triangle into the fewest pieces to form a square.
method Reduced the problem to analyzing graph structures representing piece correspondences.
result Proved that four is the minimum number of pieces for an equilateral triangle to square dissection.
New model solves equity premium puzzle with risk aversion coefficient.
problem Equity premium puzzle in financial markets.
method Developed a new model incorporating investor risk behavior, tested with specific coefficients.
result Validated model with empirical studies, confirming coefficient of 1.033526.
New model solves equity premium puzzle.
problem Equity premium puzzle regarding risk behavior of investors.
method Developed a new tool called the sufficiency factor to analyze risk behavior of investors.
result Validated the new model with a coefficient of relative risk aversion of 1.033526.
The paper explains a geometry puzzle from Plato's Meno.
problem An ingenious geometry puzzle in Plato's Meno.
method Analysis from both ancient and modern geometric perspectives.
result Solves a 2,400-year-old geometry puzzle.
Solves equity premium puzzle with time-varying variables.
problem Equity premium puzzle.
method Consumption Capital Asset Pricing Model with time-varying subjective time discount factors.
result Calculated coefficient of relative risk aversion (CRRA) is around 4.40.
Globalization is one of the central concepts of our age. The common perception of the process is that, due to declining communication and transport costs, distance becomes less and less important. However, the distance coefficient in the gravity model of trade, which grows in time, indicates that the role of distance i…
PHYRE benchmark tests physics learning algorithms.
problem Developing efficient algorithms for physics reasoning.
method Simple classical mechanics puzzles in a 2D environment.
result Modern algorithms perform poorly on PHYRE.
Paper solves annuity pricing puzzle by minimizing risk.
problem Inconsistency between theory and empirical observations in annuities pricing.
method Risk minimization approach to price annuities for both producer and customer.
result Different pricing solutions for annuity price and rate of payments.
Chess engines Stockfish and LCZero differ in their approach to solving endgame puzzles.
problem Comparing machine and human chess problem-solving abilities.
method Used Plaskett's Puzzle to compare Stockfish and LCZero's performance.
result Stockfish outperforms LCZero on the puzzle.
New puzzles from geometry and topology.
problem Exploring puzzles from geometric and topological concepts.
method Construction from square-tiled shapes, discussion of underlying mathematics.
result Puzzles naturally associated to puzzle spaces.
Problems for the graduate students who want to improve problem-solving skills in geometry. Every problem has a short elegant solution -- this gives a hint which was not available when the problem was discovered.
Solves the equity premium puzzle without calibrated values.
problem Equity premium puzzle in finance.
method Derived new model from 4 different equations, found subjective time discount factor and coefficient of relative risk aversion.
result Calculated values and risk attitude determination align with empirical literature.
Open geometry puzzles keep the author engaged.
problem Open problems in geometry that challenge the author.
method Collection of open problems based on puzzle-charm.
result No spare hands in solving the problems.
New distribution resolves excess volatility puzzle in finance.
problem Excess volatility in equity prices not explained by rational finance theory.
method Empirical analysis of historical returns using a new distribution.
result Volatility puzzle disappears when using a more appropriate return distribution.
In this article we prove the impossibility of some disentanglement puzzles, first building mathematical models that reflect the essential characteristics of these puzzles.
A hybrid scheme uses GAs and DL for tile panel reconstruction.
problem Reconstructing Portuguese tile panels with real-world effects.
method Enhanced GA-based puzzle solver with novel DLCM.
result 82% accuracy for tile reconstruction compared to 3.5% for best known method.
Deep networks generalize well due to hidden mechanisms like renormalization.
problem Generalization in deep learning networks.
method Analyzing RBMs and autoencoders, applying renormalization group principles.
result Deep networks can generalize well with fewer parameters than expected.
New approach to Poisson-Lie T-duality for string effective actions, solving dilaton puzzle.
problem Complexity of Poisson-Lie T-duality in string effective actions due to dilaton field.
method Use of Levi-Civita connections on Courant algebroids to derive formulas for Poisson-Lie T-dual dilaton fields.
result Derivation of formulas for Poisson-Lie T-dual dilaton fields, providing new Poisson-Lie T-duality for string effective actions.
We introduce Quintessence: a family of burr puzzles based on the geometry and combinatorics of the 120-cell. We discuss the regular polytopes, their symmetries, the dodecahedron as an important special case, the three-sphere, and the quaternions. We then construct the 120-cell, giving an illustrated survey of its geome…
In his stimulating article on the reasons for two puzzling observations about the behaviour of interest rates, exchange rates and the rate of inflation, Charles Engel (2016) puts forward an explanation that rests on the concept of a non-pecuniary liquidity return on assets. Albeit intriguing the analysis struggles to a…
Algorithm finds characteristic maps over complex shapes.
problem Finding non-singular characteristic maps over wedged simplicial complexes.
method Constructive puzzle algorithm based on linear algebra.
result Algorithm performs well compared to other methods.
The paper resolves behavioral finance objections to rational finance theory.
problem Predictability of asset returns, Equity Premium, Volatility Puzzle.
method Statistical models within rational finance theory.
result Offers resolutions to behavioral finance anomalies.
We explain a persistent cost-of-carry spread in EUA market and suggest ECB policy change.
problem Persistent cost-of-carry spread in EUA market.
method Cointegration analysis of EUA spread with credit spread and risk-free rate.
result Cointegration found between EUA spread, credit spread, and risk-free rate.
The equity risk premium puzzle is that the return on equities has far exceeded the average return on short-term risk-free debt and cannot be explained by conventional representative-agent consumption based equilibrium models. We review a few attempts done over the years to explain this anomaly: 1. Inclusion of highly u…
Two operations transform simple polytopes with same manifold structure.
problem Transforming simple polytopes while maintaining a specific manifold structure.
method Biflip and puzzle-move operations on simple polytopes.
result Produced polytopes have diffeomorphic moment-angle manifolds.
Two studies explain high margin loan rates by brokers.
problem High margin loan rates charged by stock brokers.
method Two approaches: finite revisions and monopolistic pricing.
result Small differences in revision frequency or monopoly pricing can explain loan rates.
Voluntary insurance contracts constitute a puzzle because they increase the expectation value of one party's wealth, whereas both parties must sign for such contracts to exist. Classically, the puzzle is resolved by introducing non-linear utility functions, which encode asymmetric risk preferences; or by assuming the p…
An edge tessellation is a tiling of the plane generated by reflecting a polygon in its edges. We prove that a polygon generating an edge tessellation is one the following eight types: a rectangle; an equilateral, 60-right, isosceles right, or 120-isosceles triangle; a 120-rhombus; a 60-90-120 kite; or a regular hexagon…
Puzzle Mix optimizes mixup by leveraging saliency and local statistics.
problem Overfitting and adversarial vulnerability of deep networks.
method Puzzle Mix alternates between multi-label and saliency-based objectives for optimal mixing masks.
result Puzzle Mix outperforms other mixup methods in generalization and adversarial robustness.
Model learns to sort music clips in sequence.
problem Finding an optimal permutation of music clips.
method Proposed a music puzzle game for self-supervised learning of neural networks.
result Improved architecture (SEN) performs better on music medley.
Financial markets provide a natural quantitative lab for understanding some of the most advanced human behaviours. Among them is the use of mathematical tools known as financial instruments. Besides money, the two most fundamental financial instruments are bonds and equities. More than 30 years ago Mehra and Prescott f…
New method makes robust estimators work without knowing corruption levels.
problem Robust estimation algorithms struggle with unknown corruption levels.
method Abstracted geometric puzzle solution to universal meta technique.
result Converts any robust estimator to work without corruption bounds.
The paper investigates herding behavior in cryptocurrency markets.
problem Cryptocurrency prices are influenced by herding behavior.
method The study uses the Markov-Switching approach to test herding behavior under asymmetric and symmetric conditions.
result Cryptocurrency prices are driven by herding behavior.
This paper solves Siegel's paradox about future exchange rates.
problem Understanding future exchange rates and resolving Siegel's paradox.
method An unorthodox approach leading to an arbitrage-free solution.
result A formula describing all no-arbitrage forward exchange rates.
Study on CEF discount in Bangladesh, finds size and maturity impact, turnover negative.
problem Exploring the discount puzzle in closed-end mutual funds in Bangladesh.
method Fixed effects panel regression with diagnostic tests.
result Fund size and maturity positively impact CEF discount, turnover negatively impacts.
By using two different invariants for the Rubik's Magic puzzle, one of metric type, the other of topological type, we can dramatically reduce the universe of constructible configurations of the puzzle. Finding the set of actually constructible shapes remains however a challenging task, that we tackle by first reducing …
Sophisticated volatility models outperform naive portfolio strategies.
problem Improving mean-variance portfolio performance over the naive 1/N strategy.
method Investigated various econometric and portfolio models across multiple datasets.
result Most models achieve higher Sharpe ratios and lower portfolio volatility than the naive rule.
Modular RL modules solve complex 3D Sokoban tasks.
problem Solving complex, integrated tasks combining visual, physical, and abstract reasoning.
method Compose RL modules in a sense-plan-act hierarchy, using only model-free methods.
result Modular RL outperforms state-of-the-art monolithic RL on Mujoban.
Subjective expected utility theory assumes that decision-makers possess unlimited computational resources to reason about their choices; however, virtually all decisions in everyday life are made under resource constraints - i.e. decision-makers are bounded in their rationality. Here we experimentally tested the predic…
Introduces Lorentzian Cayley form solving geometric puzzle.
problem Solving geometric puzzle in 4D Lorentzian geometry.
method Introduces complex Cayley forms and Lorentzian Cayley form.
result Lorentzian Cayley form solves geometric puzzle.
The Unified Growth Theory is a puzzling collection of myths based on illusions created by hyperbolic distributions. Some of these myths are discussed. The examination of data shows that the three stages of growth (Malthusian Regime, Post-Malthusian Regime and Modern Growth Regime) did not exist and that Industrial Revo…
Study resolves the Korean LVRP puzzle by showing HVRP exists but is masked by investor heterogeneity and improper intensity normalization.
problem Puzzling Low Volume Return Premium (LVRP) in Korea, contradicting global High Volume Return Premium (HVRP) evidence.
method Used Korean market data (2020-2024) to demonstrate HVRP exists but is masked by investor heterogeneity and improper intensity normalization. Normalized institutional buying intensity by market capitalization rather than trading value.
result Demonstrated a perfect monotonic relationship between highest-conviction institutional buying and positive cumulative abnormal returns, while lowest-intensity trades yield modest returns.
SATNet integrates logical reasoning into deep learning with a differentiable MAXSAT solver.
problem Integrating logical reasoning into deep learning architectures.
method Differentiable MAXSAT solver based on fast coordinate descent for SDP.
result Minimally supervised learning of logical structures in deep learning systems.
Measuring information value in markets using covariance of price changes and order flow.
problem Determining the value of information in financial markets.
method Using high-frequency data on US equities, the covariance between price changes and order flow is estimated to measure information value.
result The aggregate value of information is about 0.04% of market cap, significantly lower than fees investors pay.