Information Tools
Browse all available information tools.
Available tools
- Arithmetic Code Final Interval Midpoint Tool Choose a binary64 midpoint in a supplied half-open arithmetic-coding interval.
- Arithmetic Code Interval Bit Bound Tool Return information width and a conservative dyadic coding bit bound; endpoint convention can permit fewer bits.
- Arithmetic Code Single Symbol Subinterval Tool Calculate arithmetic code single symbol subinterval from explicit caller-supplied inputs.
- Bhattacharyya Log Affinity Term Tool Calculate bhattacharyya log affinity term from explicit caller-supplied inputs.
- Binary Channel Erasure Contribution Tool Compute binary input entropy erased and retained by an independent binary erasure channel.
- Binary Cross-Entropy Calculator Calculate binary cross-entropy for one observed label and predicted probability.
- Binary Entropy Calculator Calculate binary Shannon entropy in bits.
- Binary Entropy Curvature Term Tool Return Bernoulli entropy’s second derivative under an explicit logarithm base, without computing entropy itself.
- Binary Entropy Local Slope Tool Compute binary entropy local slope from explicit bounded inputs.
- Binary Entropy Logit Derivative Tool Calculate binary entropy logit derivative from explicit caller-supplied inputs.
- Binary Entropy Second Input Derivative Tool Calculate binary entropy second input derivative from explicit caller-supplied inputs.
- Binary Erasure Posterior Mass Tool Posterior for an independent symbol-erasure channel; an unerased observation is exact.
- Channel Erasure Information Loss Term Tool Compute expected information loss for independent erasure of a symbol with supplied entropy.
- Channel Erasure Output Mass Term Tool Compute channel erasure output mass term from explicit bounded inputs.
- Code Length Variance One Symbol Term Tool Calculate code length variance one symbol term from explicit caller-supplied inputs.
- Codebook Fixed Block Padding Cost Tool Calculate codebook fixed block padding cost from explicit caller-supplied inputs.
- Codeword Length Symbol Cost Crosswalk Tool Calculate codeword length symbol cost crosswalk from explicit caller-supplied inputs.
- Coding Efficiency Fixed Alphabet Term Tool Calculate coding efficiency fixed alphabet term from explicit caller-supplied inputs.
- Coding Overhead Fixed Header Share Normalize an explicit fixed header bit count to total header-plus-payload bits without assuming a protocol.
- Collision Entropy Uniform Support Gap Tool Calculate collision entropy uniform support gap from explicit caller-supplied inputs.
- Collision Probability Single Symbol Term Tool Calculate collision probability single symbol term from explicit caller-supplied inputs.
- Compression Ratio Header Excluded Base Tool Calculate compression ratio header excluded base from explicit caller-supplied inputs.
- Conditional Codebook Context Weight Tool Compute conditional codebook context weight from explicit bounded inputs.
- Conditional Mutual Information One Cell Tool Compute conditional mutual information one cell from explicit bounded inputs.
- Cross Entropy Reference Zero Support Flag Tool Calculate cross entropy reference zero support flag from explicit caller-supplied inputs.
- Differential Entropy Coordinate Scale Shift Tool Shift differential entropy in nats under isotropic nonzero coordinate scaling in the supplied dimension.
- Entropy Base Ratio Tool Convert entropy values from one explicit logarithm base to another using the log-base ratio.
- Entropy Probability Perturbation Linear Term Tool Calculate entropy probability perturbation linear term from explicit caller-supplied inputs.
- Entropy Rate Fixed Block Overhead Tool Compute entropy rate fixed block overhead from explicit bounded inputs.
- Hellinger Affinity Symbol Term Tool Calculate hellinger affinity symbol term from explicit caller-supplied inputs.
- Information Gain Zero Cell Limit Tool Evaluate one p*ln(p/q) cell contribution with its continuous p→0 limit and positive supplied q.
- Information Unit One Bit Reference Convert an explicit signed information quantity from bits to nats and hartleys without rounding.
- Information: Binary Channel Crossover Symmetry Tool Report the output-relabeling symmetry of a binary symmetric channel crossover probability, not its capacity or a fitted channel.
- Information: Code Redundancy Per Symbol Tool Compute absolute and relative per-symbol code redundancy from compatible supplied mean length and entropy, rejecting impossible negative redundancy.
- Information: Codebook Single Prefix Conflict Check Tool Inspect one pair of binary codewords for either-direction prefix conflict, including empty-word and duplicate conflicts; not whole-codebook validation.
- Information: Conditional Surprisal Cell Tool Compute one conditional surprisal from positive joint/conditioning probabilities and a declared logarithm base, without independence assumptions.
- Information: Discrete Support Determinism Flag Tool Inspect exact determinism of a normalized finite probability vector without treating small nonzero masses as zero.
- Information: Entropy Concavity Single Mixture Gap Tool Compute the entropy concavity gap of two normalized bounded distributions on a shared explicit support; no fitting or inferred category alignment.
- Information: Entropy Effective Alphabet Size Tool Exponentiate a nonnegative entropy in its explicitly supplied base to an effective equally likely alphabet size; not literal observed category count.
- Information: Ideal Codeword Length Integer Gap Tool Compare an ideal radix code length with its upward integer ceiling for one symbol; no claim that individually rounded lengths form an optimal code.
- Information: Information Density Single Joint Cell Tool Compute pointwise mutual-information density for one feasible positive joint cell and its positive marginals, not a whole-table mutual information.
- Information: Kraft Single Codeword Term Tool Compute one radix^-length Kraft-sum term for an explicit codeword length; a single term does not certify a whole codebook.
- Information: Log Loss Probability Floor Bias Tool Quantify the single observed-outcome natural-log-loss change from a supplied lower probability floor, rejecting actual zero rather than masking infinite reference loss.
- Information: Mutual Information Single Cell Term Tool Compute one probability-weighted joint-cell mutual-information contribution with feasible marginal bounds and an explicit zero-mass limit.
- Information: Relative Entropy Single Cell Term Tool Compute one p*log(p/q) relative-entropy contribution, allowing zero-p limit and rejecting positive p with zero q rather than returning infinity.
- Information: Surprisal Log Base Crosswalk Tool Crosswalk a nonnegative surprisal between explicitly supplied logarithm bases greater than one; no probability reconstruction.
- Information: Symbol Probability Merge Entropy Delta Tool Compute the entropy change when exactly two disjoint symbol masses are merged; all other masses stay fixed and zero terms use their continuous limit.
- Jensen Shannon One Bin Contribution Tool Calculate jensen shannon one bin contribution from explicit caller-supplied inputs.
- Joint Mass Independent Reference Residual Compare an explicit feasible joint event mass with the product of its supplied marginals without claiming statistical independence.
- Kraft Single Length Change Delta Tool Calculate kraft single length change delta from explicit caller-supplied inputs.
- Log-Loss Calculator Calculate mean binary log-loss across labels and predicted probabilities.
- Min Entropy Maxsymbol Contribution Tool Calculate min entropy maxsymbol contribution from explicit caller-supplied inputs.
- Perplexity Mixture Log Average Term Tool Calculate perplexity mixture log average term from explicit caller-supplied inputs.
- Pointwise Log Likelihood Ratio Tool Calculate pointwise log likelihood ratio from explicit caller-supplied inputs.
- Prefix Code Termination Ambiguity Witness Tool Return the first ordered proper-prefix witness among distinct supplied codewords.
- Probability Quantization Surprisal Error Tool Compute probability quantization surprisal error from explicit bounded inputs.
- Rényi Order Zero Support Indicator Tool Calculate rényi order zero support indicator from explicit caller-supplied inputs.
- Rényi Power Sum One Symbol Term Tool Compute rényi power sum one symbol term from explicit bounded inputs.
- Shannon Entropy Calculator Calculate Shannon entropy in bits from a discrete probability distribution.
- Single Symbol Information Gain Reference Tool Compute single symbol information gain reference from explicit bounded inputs.
- Source Channel Symbol Rate Multiply explicit source symbol rate by a supplied channel-symbol expansion factor without inferring coding efficiency.
- Surprisal Base Change Factor Tool Calculate surprisal base change factor from explicit caller-supplied inputs.
- Surprisal Concentration Weight Term Tool One explicitly weighted surprisal term, without assuming the weight equals the event probability.
- Symbol Code Cost Reference Gap Tool Return only one supplied symbol code cost minus its explicit reference; not source-wide expected redundancy.
- Symbol Cost Rate Slack Tool Compare one supplied symbol cost with an explicit compatible rate budget.
- Symbol Self Information Gradient Tool Calculate symbol self information gradient from explicit caller-supplied inputs.
- Tsallis Entropy One Symbol Term Tool Compute tsallis entropy one symbol term from explicit bounded inputs.